YES After renaming modulo { 0->0, 2->1, 1->2, 3->3 }, it remains to prove termination of the 80-rule system { 0 0 1 1 2 3 1 1 1 2 0 1 1 0 1 1 0 0 -> 0 1 1 1 1 2 3 0 0 1 2 0 1 1 1 1 0 0 , 0 0 3 2 0 1 1 0 1 3 2 2 0 2 1 1 0 2 -> 0 1 2 2 3 0 0 0 2 0 1 3 2 1 1 0 1 2 , 0 2 0 1 2 2 0 0 2 0 3 2 2 0 1 2 1 3 -> 0 2 1 0 0 1 2 2 0 2 2 2 0 2 3 0 1 3 , 0 2 0 3 1 0 0 0 3 3 0 1 1 1 1 2 2 2 -> 0 0 2 2 3 0 3 0 0 1 1 1 0 1 1 2 3 2 , 0 2 2 2 2 3 2 2 0 2 3 2 0 1 3 3 3 1 -> 0 1 0 2 3 2 2 3 2 0 2 3 1 2 3 2 2 3 , 0 2 1 3 1 2 0 2 1 1 0 0 2 0 3 2 0 2 -> 0 1 2 2 2 0 1 1 0 0 2 2 0 3 0 2 3 1 , 0 1 2 0 3 0 3 0 3 1 0 2 0 2 1 1 2 2 -> 0 1 3 0 3 1 1 2 1 2 2 0 0 3 0 0 2 2 , 0 1 3 0 2 1 3 1 0 3 2 0 0 0 3 3 0 3 -> 0 1 2 3 0 0 3 3 0 2 0 1 1 3 3 0 0 3 , 0 3 0 2 0 3 0 2 2 2 1 0 0 0 3 1 2 0 -> 0 0 1 1 2 3 0 0 2 3 0 2 0 2 0 0 2 3 , 0 3 2 2 1 3 0 3 0 2 0 2 1 1 2 0 1 1 -> 0 0 2 3 0 0 1 1 1 3 1 2 2 2 2 0 3 1 , 0 3 1 0 3 2 0 2 0 3 0 3 0 0 3 0 0 0 -> 0 3 0 0 0 0 2 1 0 3 3 0 0 3 0 2 3 0 , 2 0 0 0 2 1 3 3 1 1 2 0 1 3 3 1 0 3 -> 3 0 1 2 2 3 3 2 0 0 1 0 1 1 3 1 0 3 , 2 0 2 0 1 0 1 3 2 2 1 1 0 0 3 0 3 1 -> 0 0 0 2 2 3 2 3 1 0 0 1 1 2 3 0 1 1 , 2 0 2 3 1 1 3 1 0 0 2 0 3 1 3 1 3 3 -> 2 3 3 2 1 1 0 3 0 0 2 3 0 1 1 3 1 3 , 2 0 1 3 2 1 3 2 1 3 1 3 1 2 1 1 1 1 -> 1 3 1 1 3 0 1 2 3 1 1 2 2 2 3 1 1 1 , 2 0 1 3 3 3 2 0 1 0 2 1 1 3 1 2 0 2 -> 1 3 1 2 0 2 3 2 3 0 1 3 0 1 0 2 1 2 , 2 0 3 0 3 2 0 3 3 2 1 2 3 1 0 1 2 0 -> 1 1 2 3 0 0 2 3 2 0 1 0 0 3 3 3 2 2 , 2 0 3 3 2 0 3 3 3 2 2 3 1 0 0 2 3 2 -> 2 3 3 0 2 3 3 0 2 3 3 0 2 3 1 2 0 2 , 2 2 0 0 2 1 2 1 1 0 3 2 1 3 1 0 0 3 -> 2 1 1 0 1 2 0 1 2 0 0 1 3 0 2 2 3 3 , 2 2 0 3 2 0 1 3 2 2 0 3 3 0 3 2 2 2 -> 2 2 3 2 3 1 3 0 2 0 3 0 2 3 2 0 2 2 , 2 2 0 3 2 0 3 3 3 2 2 1 1 1 1 0 2 1 -> 1 2 2 0 0 2 2 1 3 3 3 0 2 1 3 1 2 1 , 2 2 2 2 0 2 3 1 2 2 1 1 0 1 1 3 0 1 -> 2 2 2 1 3 0 1 1 2 2 2 1 3 0 2 1 0 1 , 2 2 2 1 2 2 2 1 2 3 2 0 2 1 2 1 3 2 -> 2 2 2 2 2 2 3 0 1 1 2 2 2 1 3 2 1 2 , 2 2 2 3 2 3 2 0 3 1 2 3 1 2 0 3 0 3 -> 2 1 1 3 0 2 3 2 2 3 0 0 2 3 2 2 3 3 , 2 2 3 1 0 1 3 2 0 2 0 1 3 3 1 1 0 0 -> 1 0 1 3 1 0 1 0 2 1 2 3 0 2 3 0 2 3 , 2 2 3 3 1 2 3 3 1 0 2 3 3 3 0 3 1 2 -> 2 3 2 3 0 3 3 3 2 3 3 1 3 2 1 0 1 2 , 2 1 0 0 1 2 3 1 1 3 1 1 0 3 1 3 1 1 -> 2 1 0 3 1 1 1 1 3 0 0 1 1 1 3 2 3 1 , 2 1 0 2 1 2 0 1 0 0 3 2 0 1 0 3 1 1 -> 2 2 0 0 0 1 2 0 1 0 3 1 1 2 0 1 3 1 , 2 1 0 1 0 0 0 3 0 2 0 2 2 0 3 2 0 3 -> 2 3 0 3 2 2 0 2 2 0 0 0 1 1 3 0 0 0 , 2 1 2 0 3 2 3 3 1 1 1 1 0 0 3 2 0 2 -> 3 2 1 0 2 3 1 3 1 1 0 0 0 1 3 2 2 2 , 2 1 2 1 2 1 0 2 0 2 3 2 0 0 0 2 3 3 -> 2 2 1 1 2 0 2 3 0 2 2 3 0 1 2 3 0 0 , 2 1 2 3 1 3 3 2 2 2 0 2 0 0 3 1 0 3 -> 2 3 3 1 3 0 1 2 3 2 2 3 2 1 2 0 0 0 , 2 1 3 0 3 1 0 1 0 1 0 3 1 0 1 1 0 0 -> 2 1 1 1 0 3 3 0 0 1 0 0 0 1 1 1 3 0 , 2 1 3 2 2 0 0 3 3 0 1 2 3 3 0 3 1 3 -> 3 2 3 0 1 3 3 2 3 0 1 2 1 0 0 2 3 3 , 2 1 3 3 2 1 1 1 2 0 2 1 0 2 3 1 0 2 -> 3 3 0 0 1 0 1 1 2 2 2 3 2 1 1 2 1 2 , 2 1 3 3 1 2 0 3 1 1 2 0 3 2 0 0 0 0 -> 0 3 0 2 1 2 3 0 2 0 1 2 1 3 3 0 1 0 , 2 3 2 2 0 2 1 2 2 2 0 3 2 2 0 1 3 2 -> 2 2 3 1 2 3 2 2 0 0 2 3 1 2 0 2 2 2 , 2 3 2 3 1 0 2 3 2 2 3 1 3 3 3 3 0 2 -> 2 3 3 3 2 1 3 2 3 0 1 2 2 3 0 3 3 2 , 2 3 1 1 2 0 2 1 2 0 3 2 0 3 1 3 0 3 -> 3 2 3 1 2 2 0 0 1 0 0 3 2 3 1 1 2 3 , 2 3 3 0 0 3 3 2 0 0 1 3 3 2 3 1 3 2 -> 2 3 0 0 2 3 0 2 3 3 1 1 3 3 3 3 0 2 , 2 3 3 0 2 2 3 1 1 2 2 0 3 2 1 2 0 0 -> 2 3 2 2 0 0 2 2 1 2 3 0 1 3 2 0 1 3 , 2 3 3 1 1 2 0 3 1 2 2 2 1 3 2 0 2 0 -> 1 0 2 1 2 1 2 3 2 2 3 0 3 1 2 3 0 2 , 1 0 0 3 2 1 3 1 0 1 3 0 2 1 1 0 0 1 -> 1 0 1 3 2 3 0 0 3 1 0 2 0 1 0 1 1 1 , 1 0 2 0 1 1 1 1 0 3 1 3 2 1 3 0 3 1 -> 1 0 1 0 1 1 3 0 3 3 2 3 0 2 1 1 1 1 , 1 0 2 3 3 3 3 3 2 2 3 1 0 2 0 0 2 0 -> 2 3 0 1 2 2 3 0 1 3 0 0 3 2 3 3 2 0 , 1 0 3 0 3 1 3 1 2 0 2 1 1 0 0 0 2 1 -> 0 1 1 2 1 0 2 1 0 3 0 0 1 2 3 0 3 1 , 1 2 0 2 2 3 3 0 2 0 2 1 3 3 0 3 1 1 -> 0 3 3 2 3 3 0 1 2 2 3 2 0 1 2 1 0 1 , 1 2 2 2 0 1 1 1 2 0 1 0 0 1 1 1 1 2 -> 1 1 1 1 2 2 1 0 2 0 0 0 1 2 1 1 1 2 , 1 2 1 1 1 0 1 2 1 3 0 0 3 2 1 1 2 3 -> 0 1 0 1 2 3 1 1 2 3 1 1 2 3 0 1 2 1 , 1 2 1 1 1 2 3 1 0 0 1 3 1 3 3 3 0 3 -> 1 3 3 2 3 1 0 3 1 2 3 0 1 1 1 1 3 0 , 1 2 1 1 3 1 3 0 2 3 1 2 2 3 3 1 1 1 -> 1 2 2 2 3 1 3 1 1 3 0 1 3 1 2 3 1 1 , 1 2 1 3 3 3 0 1 0 0 1 1 2 0 1 0 1 0 -> 0 3 0 1 1 1 2 3 0 0 2 3 0 0 1 1 1 1 , 1 2 3 3 3 2 1 2 1 2 0 0 3 2 3 1 0 0 -> 1 2 3 0 2 3 2 0 1 1 0 0 2 3 2 3 1 3 , 1 1 0 0 1 2 2 1 2 1 0 2 1 1 1 1 1 1 -> 1 1 1 1 2 2 0 1 2 2 1 1 0 1 0 1 1 1 , 1 1 0 3 2 1 0 3 2 1 2 3 0 2 0 3 0 0 -> 1 3 1 1 2 3 0 3 0 2 3 0 0 0 2 2 1 0 , 1 1 2 0 2 1 0 0 3 0 1 2 2 1 2 1 2 1 -> 1 1 2 0 3 1 2 2 2 0 0 1 0 2 1 1 2 1 , 1 1 2 2 1 3 2 1 2 3 2 0 1 1 0 3 2 2 -> 1 1 2 1 3 2 2 3 2 1 1 2 0 0 1 2 3 2 , 1 1 2 2 3 2 0 0 2 1 3 1 3 2 0 2 2 0 -> 0 2 1 1 3 2 0 1 2 3 1 2 2 3 0 2 2 0 , 1 1 2 1 3 1 0 1 0 3 2 0 2 2 0 2 3 3 -> 1 1 0 2 1 0 2 1 3 2 0 1 0 2 3 2 3 3 , 1 1 1 1 2 2 0 2 2 1 1 0 0 2 1 1 2 2 -> 0 1 2 1 0 1 0 1 1 2 1 1 1 2 2 2 2 2 , 1 1 3 2 1 3 0 3 2 2 2 0 2 2 0 2 3 2 -> 1 3 2 2 1 0 2 3 2 2 0 2 2 3 2 3 0 1 , 1 1 3 3 2 3 2 2 0 2 1 1 0 3 1 0 3 3 -> 1 1 3 2 3 1 2 3 3 2 0 0 1 3 3 2 0 1 , 1 3 0 1 0 3 1 0 1 3 1 2 1 1 1 3 0 3 -> 1 3 1 3 3 0 0 1 1 1 2 3 1 0 1 3 1 0 , 1 3 2 0 2 0 2 1 2 0 3 2 0 3 2 1 1 3 -> 1 2 1 2 2 0 2 0 1 3 0 0 3 3 3 2 2 1 , 1 3 2 0 1 3 2 0 0 2 0 2 0 2 1 1 2 0 -> 1 0 3 2 0 2 0 2 1 0 1 1 2 3 0 0 2 2 , 1 3 2 2 0 3 2 1 2 0 2 3 1 0 2 1 2 2 -> 1 3 1 0 2 2 2 3 1 2 2 3 0 0 2 2 1 2 , 1 3 1 2 0 0 0 1 3 1 3 0 3 0 1 2 2 1 -> 1 1 3 0 3 0 1 2 0 1 1 0 2 3 2 3 0 1 , 1 3 1 1 1 3 0 3 2 0 3 1 2 2 1 0 1 3 -> 1 1 2 2 0 2 1 3 3 0 3 3 1 1 1 0 1 3 , 1 3 3 1 3 2 0 2 2 2 3 2 0 2 0 3 1 0 -> 1 2 0 0 2 1 3 2 2 3 3 3 2 2 3 1 0 0 , 3 0 2 0 2 1 3 3 2 1 3 1 2 2 2 3 3 0 -> 3 0 2 1 2 3 3 2 3 0 2 3 2 1 0 2 3 1 , 3 0 3 2 0 2 0 3 3 2 0 3 1 3 3 1 0 3 -> 2 3 0 1 0 0 3 3 1 2 3 0 3 3 2 3 3 0 , 3 2 0 0 3 0 3 1 3 1 3 0 2 0 2 2 1 3 -> 3 0 2 3 1 3 3 2 2 0 1 0 0 3 2 3 0 1 , 3 2 2 0 3 0 2 2 3 1 2 1 3 3 2 3 3 2 -> 3 2 3 1 2 2 2 3 3 0 3 1 2 3 0 2 3 2 , 3 2 1 0 3 1 1 3 1 0 3 3 1 3 3 2 2 3 -> 3 1 1 3 2 3 3 1 2 3 3 0 1 0 1 3 2 3 , 3 2 1 3 1 0 1 3 2 2 2 3 3 1 0 0 0 3 -> 3 2 3 1 2 3 0 1 2 0 0 1 3 2 1 3 3 0 , 3 1 0 2 1 2 0 3 3 3 3 2 1 2 2 0 2 0 -> 3 0 0 1 2 3 1 3 3 2 2 3 2 2 0 1 0 2 , 3 1 3 1 1 0 3 3 1 0 2 0 0 1 0 2 2 2 -> 3 0 2 3 1 0 3 0 2 1 3 0 1 0 1 1 2 2 , 3 3 0 2 0 3 1 0 2 2 2 2 3 2 1 3 3 3 -> 3 1 3 2 2 2 0 3 3 0 1 2 3 0 2 3 2 3 , 3 3 2 0 3 1 3 0 3 2 0 1 0 3 0 1 1 0 -> 3 3 3 1 0 3 0 3 0 2 0 0 2 3 0 1 1 1 , 3 3 2 1 1 1 3 3 3 2 3 0 2 2 2 1 2 0 -> 3 3 3 2 1 3 2 3 0 1 1 2 3 0 1 2 2 2 } The system was reversed. After renaming modulo { 0->0, 1->1, 2->2, 3->3 }, it remains to prove termination of the 80-rule system { 0 0 1 1 0 1 1 0 2 1 1 1 3 2 1 1 0 0 -> 0 0 1 1 1 1 0 2 1 0 0 3 2 1 1 1 1 0 , 2 0 1 1 2 0 2 2 3 1 0 1 1 0 2 3 0 0 -> 2 1 0 1 1 2 3 1 0 2 0 0 0 3 2 2 1 0 , 3 1 2 1 0 2 2 3 0 2 0 0 2 2 1 0 2 0 -> 3 1 0 3 2 0 2 2 2 0 2 2 1 0 0 1 2 0 , 2 2 2 1 1 1 1 0 3 3 0 0 0 1 3 0 2 0 -> 2 3 2 1 1 0 1 1 1 0 0 3 0 3 2 2 0 0 , 1 3 3 3 1 0 2 3 2 0 2 2 3 2 2 2 2 0 -> 3 2 2 3 2 1 3 2 0 2 3 2 2 3 2 0 1 0 , 2 0 2 3 0 2 0 0 1 1 2 0 2 1 3 1 2 0 -> 1 3 2 0 3 0 2 2 0 0 1 1 0 2 2 2 1 0 , 2 2 1 1 2 0 2 0 1 3 0 3 0 3 0 2 1 0 -> 2 2 0 0 3 0 0 2 2 1 2 1 1 3 0 3 1 0 , 3 0 3 3 0 0 0 2 3 0 1 3 1 2 0 3 1 0 -> 3 0 0 3 3 1 1 0 2 0 3 3 0 0 3 2 1 0 , 0 2 1 3 0 0 0 1 2 2 2 0 3 0 2 0 3 0 -> 3 2 0 0 2 0 2 0 3 2 0 0 3 2 1 1 0 0 , 1 1 0 2 1 1 2 0 2 0 3 0 3 1 2 2 3 0 -> 1 3 0 2 2 2 2 1 3 1 1 1 0 0 3 2 0 0 , 0 0 0 3 0 0 3 0 3 0 2 0 2 3 0 1 3 0 -> 0 3 2 0 3 0 0 3 3 0 1 2 0 0 0 0 3 0 , 3 0 1 3 3 1 0 2 1 1 3 3 1 2 0 0 0 2 -> 3 0 1 3 1 1 0 1 0 0 2 3 3 2 2 1 0 3 , 1 3 0 3 0 0 1 1 2 2 3 1 0 1 0 2 0 2 -> 1 1 0 3 2 1 1 0 0 1 3 2 3 2 2 0 0 0 , 3 3 1 3 1 3 0 2 0 0 1 3 1 1 3 2 0 2 -> 3 1 3 1 1 0 3 2 0 0 3 0 1 1 2 3 3 2 , 1 1 1 1 2 1 3 1 3 1 2 3 1 2 3 1 0 2 -> 1 1 1 3 2 2 2 1 1 3 2 1 0 3 1 1 3 1 , 2 0 2 1 3 1 1 2 0 1 0 2 3 3 3 1 0 2 -> 2 1 2 0 1 0 3 1 0 3 2 3 2 0 2 1 3 1 , 0 2 1 0 1 3 2 1 2 3 3 0 2 3 0 3 0 2 -> 2 2 3 3 3 0 0 1 0 2 3 2 0 0 3 2 1 1 , 2 3 2 0 0 1 3 2 2 3 3 3 0 2 3 3 0 2 -> 2 0 2 1 3 2 0 3 3 2 0 3 3 2 0 3 3 2 , 3 0 0 1 3 1 2 3 0 1 1 2 1 2 0 0 2 2 -> 3 3 2 2 0 3 1 0 0 2 1 0 2 1 0 1 1 2 , 2 2 2 3 0 3 3 0 2 2 3 1 0 2 3 0 2 2 -> 2 2 0 2 3 2 0 3 0 2 0 3 1 3 2 3 2 2 , 1 2 0 1 1 1 1 2 2 3 3 3 0 2 3 0 2 2 -> 1 2 1 3 1 2 0 3 3 3 1 2 2 0 0 2 2 1 , 1 0 3 1 1 0 1 1 2 2 1 3 2 0 2 2 2 2 -> 1 0 1 2 0 3 1 2 2 2 1 1 0 3 1 2 2 2 , 2 3 1 2 1 2 0 2 3 2 1 2 2 2 1 2 2 2 -> 2 1 2 3 1 2 2 2 1 1 0 3 2 2 2 2 2 2 , 3 0 3 0 2 1 3 2 1 3 0 2 3 2 3 2 2 2 -> 3 3 2 2 3 2 0 0 3 2 2 3 2 0 3 1 1 2 , 0 0 1 1 3 3 1 0 2 0 2 3 1 0 1 3 2 2 -> 3 2 0 3 2 0 3 2 1 2 0 1 0 1 3 1 0 1 , 2 1 3 0 3 3 3 2 0 1 3 3 2 1 3 3 2 2 -> 2 1 0 1 2 3 1 3 3 2 3 3 3 0 3 2 3 2 , 1 1 3 1 3 0 1 1 3 1 1 3 2 1 0 0 1 2 -> 1 3 2 3 1 1 1 0 0 3 1 1 1 1 3 0 1 2 , 1 1 3 0 1 0 2 3 0 0 1 0 2 1 2 0 1 2 -> 1 3 1 0 2 1 1 3 0 1 0 2 1 0 0 0 2 2 , 3 0 2 3 0 2 2 0 2 0 3 0 0 0 1 0 1 2 -> 0 0 0 3 1 1 0 0 0 2 2 0 2 2 3 0 3 2 , 2 0 2 3 0 0 1 1 1 1 3 3 2 3 0 2 1 2 -> 2 2 2 3 1 0 0 0 1 1 3 1 3 2 0 1 2 3 , 3 3 2 0 0 0 2 3 2 0 2 0 1 2 1 2 1 2 -> 0 0 3 2 1 0 3 2 2 0 3 2 0 2 1 1 2 2 , 3 0 1 3 0 0 2 0 2 2 2 3 3 1 3 2 1 2 -> 0 0 0 2 1 2 3 2 2 3 2 1 0 3 1 3 3 2 , 0 0 1 1 0 1 3 0 1 0 1 0 1 3 0 3 1 2 -> 0 3 1 1 1 0 0 0 1 0 0 3 3 0 1 1 1 2 , 3 1 3 0 3 3 2 1 0 3 3 0 0 2 2 3 1 2 -> 3 3 2 0 0 1 2 1 0 3 2 3 3 1 0 3 2 3 , 2 0 1 3 2 0 1 2 0 2 1 1 1 2 3 3 1 2 -> 2 1 2 1 1 2 3 2 2 2 1 1 0 1 0 0 3 3 , 0 0 0 0 2 3 0 2 1 1 3 0 2 1 3 3 1 2 -> 0 1 0 3 3 1 2 1 0 2 0 3 2 1 2 0 3 0 , 2 3 1 0 2 2 3 0 2 2 2 1 2 0 2 2 3 2 -> 2 2 2 0 2 1 3 2 0 0 2 2 3 2 1 3 2 2 , 2 0 3 3 3 3 1 3 2 2 3 2 0 1 3 2 3 2 -> 2 3 3 0 3 2 2 1 0 3 2 3 1 2 3 3 3 2 , 3 0 3 1 3 0 2 3 0 2 1 2 0 2 1 1 3 2 -> 3 2 1 1 3 2 3 0 0 1 0 0 2 2 1 3 2 3 , 2 3 1 3 2 3 3 1 0 0 2 3 3 0 0 3 3 2 -> 2 0 3 3 3 3 1 1 3 3 2 0 3 2 0 0 3 2 , 0 0 2 1 2 3 0 2 2 1 1 3 2 2 0 3 3 2 -> 3 1 0 2 3 1 0 3 2 1 2 2 0 0 2 2 3 2 , 0 2 0 2 3 1 2 2 2 1 3 0 2 1 1 3 3 2 -> 2 0 3 2 1 3 0 3 2 2 3 2 1 2 1 2 0 1 , 1 0 0 1 1 2 0 3 1 0 1 3 1 2 3 0 0 1 -> 1 1 1 0 1 0 2 0 1 3 0 0 3 2 3 1 0 1 , 1 3 0 3 1 2 3 1 3 0 1 1 1 1 0 2 0 1 -> 1 1 1 1 2 0 3 2 3 3 0 3 1 1 0 1 0 1 , 0 2 0 0 2 0 1 3 2 2 3 3 3 3 3 2 0 1 -> 0 2 3 3 2 3 0 0 3 1 0 3 2 2 1 0 3 2 , 1 2 0 0 0 1 1 2 0 2 1 3 1 3 0 3 0 1 -> 1 3 0 3 2 1 0 0 3 0 1 2 0 1 2 1 1 0 , 1 1 3 0 3 3 1 2 0 2 0 3 3 2 2 0 2 1 -> 1 0 1 2 1 0 2 3 2 2 1 0 3 3 2 3 3 0 , 2 1 1 1 1 0 0 1 0 2 1 1 1 0 2 2 2 1 -> 2 1 1 1 2 1 0 0 0 2 0 1 2 2 1 1 1 1 , 3 2 1 1 2 3 0 0 3 1 2 1 0 1 1 1 2 1 -> 1 2 1 0 3 2 1 1 3 2 1 1 3 2 1 0 1 0 , 3 0 3 3 3 1 3 1 0 0 1 3 2 1 1 1 2 1 -> 0 3 1 1 1 1 0 3 2 1 3 0 1 3 2 3 3 1 , 1 1 1 3 3 2 2 1 3 2 0 3 1 3 1 1 2 1 -> 1 1 3 2 1 3 1 0 3 1 1 3 1 3 2 2 2 1 , 0 1 0 1 0 2 1 1 0 0 1 0 3 3 3 1 2 1 -> 1 1 1 1 0 0 3 2 0 0 3 2 1 1 1 0 3 0 , 0 0 1 3 2 3 0 0 2 1 2 1 2 3 3 3 2 1 -> 3 1 3 2 3 2 0 0 1 1 0 2 3 2 0 3 2 1 , 1 1 1 1 1 1 2 0 1 2 1 2 2 1 0 0 1 1 -> 1 1 1 0 1 0 1 1 2 2 1 0 2 2 1 1 1 1 , 0 0 3 0 2 0 3 2 1 2 3 0 1 2 3 0 1 1 -> 0 1 2 2 0 0 0 3 2 0 3 0 3 2 1 1 3 1 , 1 2 1 2 1 2 2 1 0 3 0 0 1 2 0 2 1 1 -> 1 2 1 1 2 0 1 0 0 2 2 2 1 3 0 2 1 1 , 2 2 3 0 1 1 0 2 3 2 1 2 3 1 2 2 1 1 -> 2 3 2 1 0 0 2 1 1 2 3 2 2 3 1 2 1 1 , 0 2 2 0 2 3 1 3 1 2 0 0 2 3 2 2 1 1 -> 0 2 2 0 3 2 2 1 3 2 1 0 2 3 1 1 2 0 , 3 3 2 0 2 2 0 2 3 0 1 0 1 3 1 2 1 1 -> 3 3 2 3 2 0 1 0 2 3 1 2 0 1 2 0 1 1 , 2 2 1 1 2 0 0 1 1 2 2 0 2 2 1 1 1 1 -> 2 2 2 2 2 1 1 1 2 1 1 0 1 0 1 2 1 0 , 2 3 2 0 2 2 0 2 2 2 3 0 3 1 2 3 1 1 -> 1 0 3 2 3 2 2 0 2 2 3 2 0 1 2 2 3 1 , 3 3 0 1 3 0 1 1 2 0 2 2 3 2 3 3 1 1 -> 1 0 2 3 3 1 0 0 2 3 3 2 1 3 2 3 1 1 , 3 0 3 1 1 1 2 1 3 1 0 1 3 0 1 0 3 1 -> 0 1 3 1 0 1 3 2 1 1 1 0 0 3 3 1 3 1 , 3 1 1 2 3 0 2 3 0 2 1 2 0 2 0 2 3 1 -> 1 2 2 3 3 3 0 0 3 1 0 2 0 2 2 1 2 1 , 0 2 1 1 2 0 2 0 2 0 0 2 3 1 0 2 3 1 -> 2 2 0 0 3 2 1 1 0 1 2 0 2 0 2 3 0 1 , 2 2 1 2 0 1 3 2 0 2 1 2 3 0 2 2 3 1 -> 2 1 2 2 0 0 3 2 2 1 3 2 2 2 0 1 3 1 , 1 2 2 1 0 3 0 3 1 3 1 0 0 0 2 1 3 1 -> 1 0 3 2 3 2 0 1 1 0 2 1 0 3 0 3 1 1 , 3 1 0 1 2 2 1 3 0 2 3 0 3 1 1 1 3 1 -> 3 1 0 1 1 1 3 3 0 3 3 1 2 0 2 2 1 1 , 0 1 3 0 2 0 2 3 2 2 2 0 2 3 1 3 3 1 -> 0 0 1 3 2 2 3 3 3 2 2 3 1 2 0 0 2 1 , 0 3 3 2 2 2 1 3 1 2 3 3 1 2 0 2 0 3 -> 1 3 2 0 1 2 3 2 0 3 2 3 3 2 1 2 0 3 , 3 0 1 3 3 1 3 0 2 3 3 0 2 0 2 3 0 3 -> 0 3 3 2 3 3 0 3 2 1 3 3 0 0 1 0 3 2 , 3 1 2 2 0 2 0 3 1 3 1 3 0 3 0 0 2 3 -> 1 0 3 2 3 0 0 1 0 2 2 3 3 1 3 2 0 3 , 2 3 3 2 3 3 1 2 1 3 2 2 0 3 0 2 2 3 -> 2 3 2 0 3 2 1 3 0 3 3 2 2 2 1 3 2 3 , 3 2 2 3 3 1 3 3 0 1 3 1 1 3 0 1 2 3 -> 3 2 3 1 0 1 0 3 3 2 1 3 3 2 3 1 1 3 , 3 0 0 0 1 3 3 2 2 2 3 1 0 1 3 1 2 3 -> 0 3 3 1 2 3 1 0 0 2 1 0 3 2 1 3 2 3 , 0 2 0 2 2 1 2 3 3 3 3 0 2 1 2 0 1 3 -> 2 0 1 0 2 2 3 2 2 3 3 1 3 2 1 0 0 3 , 2 2 2 0 1 0 0 2 0 1 3 3 0 1 1 3 1 3 -> 2 2 1 1 0 1 0 3 1 2 0 3 0 1 3 2 0 3 , 3 3 3 1 2 3 2 2 2 2 0 1 3 0 2 0 3 3 -> 3 2 3 2 0 3 2 1 0 3 3 0 2 2 2 3 1 3 , 0 1 1 0 3 0 1 0 2 3 0 3 1 3 0 2 3 3 -> 1 1 1 0 3 2 0 0 2 0 3 0 3 0 1 3 3 3 , 0 2 1 2 2 2 0 3 2 3 3 3 1 1 1 2 3 3 -> 2 2 2 1 0 3 2 1 1 0 3 2 3 1 2 3 3 3 } Applying sparse 2-tiling [Hofbauer/Geser/Waldmann, FSCD 2019]. After renaming modulo { (0,0)->0, (0,1)->1, (1,1)->2, (1,0)->3, (0,2)->4, (2,1)->5, (1,3)->6, (3,2)->7, (0,3)->8, (0,5)->9, (2,0)->10, (3,0)->11, (4,0)->12, (1,2)->13, (2,2)->14, (2,3)->15, (3,1)->16, (4,2)->17, (3,3)->18, (4,3)->19, (4,1)->20, (2,5)->21, (3,5)->22, (1,5)->23 }, it remains to prove termination of the 2000-rule system { 0 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 0 -> 0 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 0 , 0 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 1 -> 0 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 1 , 0 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 4 -> 0 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 4 , 0 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 8 -> 0 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 8 , 0 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 9 -> 0 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 9 , 3 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 0 -> 3 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 0 , 3 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 1 -> 3 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 1 , 3 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 4 -> 3 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 4 , 3 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 8 -> 3 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 8 , 3 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 9 -> 3 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 9 , 10 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 0 -> 10 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 0 , 10 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 1 -> 10 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 1 , 10 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 4 -> 10 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 4 , 10 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 8 -> 10 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 8 , 10 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 9 -> 10 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 9 , 11 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 0 -> 11 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 0 , 11 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 1 -> 11 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 1 , 11 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 4 -> 11 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 4 , 11 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 8 -> 11 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 8 , 11 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 9 -> 11 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 9 , 12 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 0 -> 12 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 0 , 12 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 1 -> 12 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 1 , 12 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 4 -> 12 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 4 , 12 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 8 -> 12 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 8 , 12 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 9 -> 12 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 9 , 4 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 0 -> 4 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 0 , 4 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 1 -> 4 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 1 , 4 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 4 -> 4 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 4 , 4 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 8 -> 4 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 8 , 4 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 9 -> 4 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 9 , 13 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 0 -> 13 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 0 , 13 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 1 -> 13 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 1 , 13 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 4 -> 13 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 4 , 13 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 8 -> 13 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 8 , 13 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 9 -> 13 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 9 , 14 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 0 -> 14 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 0 , 14 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 1 -> 14 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 1 , 14 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 4 -> 14 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 4 , 14 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 8 -> 14 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 8 , 14 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 9 -> 14 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 9 , 7 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 0 -> 7 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 0 , 7 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 1 -> 7 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 1 , 7 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 4 -> 7 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 4 , 7 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 8 -> 7 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 8 , 7 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 9 -> 7 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 9 , 17 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 0 -> 17 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 0 , 17 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 1 -> 17 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 1 , 17 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 4 -> 17 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 4 , 17 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 8 -> 17 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 8 , 17 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 9 -> 17 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 9 , 8 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 0 -> 8 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 0 , 8 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 1 -> 8 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 1 , 8 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 4 -> 8 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 4 , 8 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 8 -> 8 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 8 , 8 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 9 -> 8 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 9 , 6 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 0 -> 6 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 0 , 6 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 1 -> 6 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 1 , 6 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 4 -> 6 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 4 , 6 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 8 -> 6 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 8 , 6 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 9 -> 6 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 9 , 15 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 0 -> 15 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 0 , 15 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 1 -> 15 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 1 , 15 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 4 -> 15 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 4 , 15 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 8 -> 15 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 8 , 15 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 9 -> 15 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 9 , 18 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 0 -> 18 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 0 , 18 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 1 -> 18 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 1 , 18 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 4 -> 18 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 4 , 18 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 8 -> 18 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 8 , 18 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 9 -> 18 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 9 , 19 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 0 -> 19 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 0 , 19 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 1 -> 19 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 1 , 19 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 4 -> 19 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 4 , 19 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 8 -> 19 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 8 , 19 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 9 -> 19 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 9 , 4 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 0 -> 4 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 0 , 4 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 1 -> 4 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 1 , 4 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 4 -> 4 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 4 , 4 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 8 -> 4 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 8 , 4 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 9 -> 4 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 9 , 13 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 0 -> 13 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 0 , 13 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 1 -> 13 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 1 , 13 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 4 -> 13 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 4 , 13 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 8 -> 13 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 8 , 13 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 9 -> 13 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 9 , 14 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 0 -> 14 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 0 , 14 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 1 -> 14 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 1 , 14 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 4 -> 14 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 4 , 14 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 8 -> 14 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 8 , 14 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 9 -> 14 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 9 , 7 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 0 -> 7 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 0 , 7 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 1 -> 7 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 1 , 7 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 4 -> 7 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 4 , 7 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 8 -> 7 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 8 , 7 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 9 -> 7 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 9 , 17 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 0 -> 17 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 0 , 17 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 1 -> 17 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 1 , 17 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 4 -> 17 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 4 , 17 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 8 -> 17 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 8 , 17 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 9 -> 17 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 9 , 1 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 0 -> 8 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 0 , 1 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 1 -> 8 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 1 , 1 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 4 -> 8 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 4 , 1 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 8 -> 8 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 8 , 1 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 9 -> 8 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 9 , 2 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 0 -> 6 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 0 , 2 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 1 -> 6 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 1 , 2 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 4 -> 6 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 4 , 2 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 8 -> 6 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 8 , 2 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 9 -> 6 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 9 , 5 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 0 -> 15 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 0 , 5 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 1 -> 15 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 1 , 5 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 4 -> 15 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 4 , 5 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 8 -> 15 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 8 , 5 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 9 -> 15 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 9 , 16 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 0 -> 18 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 0 , 16 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 1 -> 18 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 1 , 16 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 4 -> 18 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 4 , 16 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 8 -> 18 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 8 , 16 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 9 -> 18 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 9 , 20 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 0 -> 19 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 0 , 20 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 1 -> 19 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 1 , 20 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 4 -> 19 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 4 , 20 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 8 -> 19 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 8 , 20 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 9 -> 19 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 9 , 4 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 0 -> 1 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 0 , 4 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 1 -> 1 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 1 , 4 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 4 -> 1 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 4 , 4 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 8 -> 1 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 8 , 4 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 9 -> 1 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 9 , 13 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 0 -> 2 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 0 , 13 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 1 -> 2 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 1 , 13 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 4 -> 2 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 4 , 13 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 8 -> 2 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 8 , 13 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 9 -> 2 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 9 , 14 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 0 -> 5 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 0 , 14 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 1 -> 5 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 1 , 14 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 4 -> 5 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 4 , 14 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 8 -> 5 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 8 , 14 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 9 -> 5 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 9 , 7 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 0 -> 16 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 0 , 7 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 1 -> 16 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 1 , 7 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 4 -> 16 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 4 , 7 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 8 -> 16 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 8 , 7 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 9 -> 16 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 9 , 17 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 0 -> 20 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 0 , 17 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 1 -> 20 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 1 , 17 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 4 -> 20 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 4 , 17 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 8 -> 20 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 8 , 17 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 9 -> 20 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 9 , 4 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 0 -> 4 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 0 , 4 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 1 -> 4 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 1 , 4 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 4 -> 4 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 4 , 4 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 8 -> 4 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 8 , 4 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 9 -> 4 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 9 , 13 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 0 -> 13 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 0 , 13 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 1 -> 13 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 1 , 13 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 4 -> 13 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 4 , 13 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 8 -> 13 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 8 , 13 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 9 -> 13 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 9 , 14 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 0 -> 14 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 0 , 14 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 1 -> 14 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 1 , 14 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 4 -> 14 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 4 , 14 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 8 -> 14 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 8 , 14 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 9 -> 14 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 9 , 7 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 0 -> 7 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 0 , 7 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 1 -> 7 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 1 , 7 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 4 -> 7 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 4 , 7 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 8 -> 7 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 8 , 7 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 9 -> 7 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 9 , 17 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 0 -> 17 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 0 , 17 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 1 -> 17 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 1 , 17 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 4 -> 17 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 4 , 17 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 8 -> 17 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 8 , 17 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 9 -> 17 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 9 , 8 11 8 18 11 0 0 4 15 11 1 6 16 13 10 8 16 3 0 -> 8 11 0 8 18 16 2 3 4 10 8 18 11 0 8 7 5 3 0 , 8 11 8 18 11 0 0 4 15 11 1 6 16 13 10 8 16 3 1 -> 8 11 0 8 18 16 2 3 4 10 8 18 11 0 8 7 5 3 1 , 8 11 8 18 11 0 0 4 15 11 1 6 16 13 10 8 16 3 4 -> 8 11 0 8 18 16 2 3 4 10 8 18 11 0 8 7 5 3 4 , 8 11 8 18 11 0 0 4 15 11 1 6 16 13 10 8 16 3 8 -> 8 11 0 8 18 16 2 3 4 10 8 18 11 0 8 7 5 3 8 , 8 11 8 18 11 0 0 4 15 11 1 6 16 13 10 8 16 3 9 -> 8 11 0 8 18 16 2 3 4 10 8 18 11 0 8 7 5 3 9 , 6 11 8 18 11 0 0 4 15 11 1 6 16 13 10 8 16 3 0 -> 6 11 0 8 18 16 2 3 4 10 8 18 11 0 8 7 5 3 0 , 6 11 8 18 11 0 0 4 15 11 1 6 16 13 10 8 16 3 1 -> 6 11 0 8 18 16 2 3 4 10 8 18 11 0 8 7 5 3 1 , 6 11 8 18 11 0 0 4 15 11 1 6 16 13 10 8 16 3 4 -> 6 11 0 8 18 16 2 3 4 10 8 18 11 0 8 7 5 3 4 , 6 11 8 18 11 0 0 4 15 11 1 6 16 13 10 8 16 3 8 -> 6 11 0 8 18 16 2 3 4 10 8 18 11 0 8 7 5 3 8 , 6 11 8 18 11 0 0 4 15 11 1 6 16 13 10 8 16 3 9 -> 6 11 0 8 18 16 2 3 4 10 8 18 11 0 8 7 5 3 9 , 15 11 8 18 11 0 0 4 15 11 1 6 16 13 10 8 16 3 0 -> 15 11 0 8 18 16 2 3 4 10 8 18 11 0 8 7 5 3 0 , 15 11 8 18 11 0 0 4 15 11 1 6 16 13 10 8 16 3 1 -> 15 11 0 8 18 16 2 3 4 10 8 18 11 0 8 7 5 3 1 , 15 11 8 18 11 0 0 4 15 11 1 6 16 13 10 8 16 3 4 -> 15 11 0 8 18 16 2 3 4 10 8 18 11 0 8 7 5 3 4 , 15 11 8 18 11 0 0 4 15 11 1 6 16 13 10 8 16 3 8 -> 15 11 0 8 18 16 2 3 4 10 8 18 11 0 8 7 5 3 8 , 15 11 8 18 11 0 0 4 15 11 1 6 16 13 10 8 16 3 9 -> 15 11 0 8 18 16 2 3 4 10 8 18 11 0 8 7 5 3 9 , 18 11 8 18 11 0 0 4 15 11 1 6 16 13 10 8 16 3 0 -> 18 11 0 8 18 16 2 3 4 10 8 18 11 0 8 7 5 3 0 , 18 11 8 18 11 0 0 4 15 11 1 6 16 13 10 8 16 3 1 -> 18 11 0 8 18 16 2 3 4 10 8 18 11 0 8 7 5 3 1 , 18 11 8 18 11 0 0 4 15 11 1 6 16 13 10 8 16 3 4 -> 18 11 0 8 18 16 2 3 4 10 8 18 11 0 8 7 5 3 4 , 18 11 8 18 11 0 0 4 15 11 1 6 16 13 10 8 16 3 8 -> 18 11 0 8 18 16 2 3 4 10 8 18 11 0 8 7 5 3 8 , 18 11 8 18 11 0 0 4 15 11 1 6 16 13 10 8 16 3 9 -> 18 11 0 8 18 16 2 3 4 10 8 18 11 0 8 7 5 3 9 , 19 11 8 18 11 0 0 4 15 11 1 6 16 13 10 8 16 3 0 -> 19 11 0 8 18 16 2 3 4 10 8 18 11 0 8 7 5 3 0 , 19 11 8 18 11 0 0 4 15 11 1 6 16 13 10 8 16 3 1 -> 19 11 0 8 18 16 2 3 4 10 8 18 11 0 8 7 5 3 1 , 19 11 8 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15 11 0 8 16 13 5 3 1 2 2 13 5 23 -> 20 13 5 3 8 7 5 2 6 7 5 2 6 7 5 3 1 3 9 , 8 11 8 18 18 16 6 16 3 0 1 6 7 5 2 2 13 5 3 -> 0 8 16 2 2 2 3 8 7 5 6 11 1 6 7 15 18 16 3 , 8 11 8 18 18 16 6 16 3 0 1 6 7 5 2 2 13 5 2 -> 0 8 16 2 2 2 3 8 7 5 6 11 1 6 7 15 18 16 2 , 8 11 8 18 18 16 6 16 3 0 1 6 7 5 2 2 13 5 13 -> 0 8 16 2 2 2 3 8 7 5 6 11 1 6 7 15 18 16 13 , 8 11 8 18 18 16 6 16 3 0 1 6 7 5 2 2 13 5 6 -> 0 8 16 2 2 2 3 8 7 5 6 11 1 6 7 15 18 16 6 , 8 11 8 18 18 16 6 16 3 0 1 6 7 5 2 2 13 5 23 -> 0 8 16 2 2 2 3 8 7 5 6 11 1 6 7 15 18 16 23 , 6 11 8 18 18 16 6 16 3 0 1 6 7 5 2 2 13 5 3 -> 3 8 16 2 2 2 3 8 7 5 6 11 1 6 7 15 18 16 3 , 6 11 8 18 18 16 6 16 3 0 1 6 7 5 2 2 13 5 2 -> 3 8 16 2 2 2 3 8 7 5 6 11 1 6 7 15 18 16 2 , 6 11 8 18 18 16 6 16 3 0 1 6 7 5 2 2 13 5 13 -> 3 8 16 2 2 2 3 8 7 5 6 11 1 6 7 15 18 16 13 , 6 11 8 18 18 16 6 16 3 0 1 6 7 5 2 2 13 5 6 -> 3 8 16 2 2 2 3 8 7 5 6 11 1 6 7 15 18 16 6 , 6 11 8 18 18 16 6 16 3 0 1 6 7 5 2 2 13 5 23 -> 3 8 16 2 2 2 3 8 7 5 6 11 1 6 7 15 18 16 23 , 15 11 8 18 18 16 6 16 3 0 1 6 7 5 2 2 13 5 3 -> 10 8 16 2 2 2 3 8 7 5 6 11 1 6 7 15 18 16 3 , 15 11 8 18 18 16 6 16 3 0 1 6 7 5 2 2 13 5 2 -> 10 8 16 2 2 2 3 8 7 5 6 11 1 6 7 15 18 16 2 , 15 11 8 18 18 16 6 16 3 0 1 6 7 5 2 2 13 5 13 -> 10 8 16 2 2 2 3 8 7 5 6 11 1 6 7 15 18 16 13 , 15 11 8 18 18 16 6 16 3 0 1 6 7 5 2 2 13 5 6 -> 10 8 16 2 2 2 3 8 7 5 6 11 1 6 7 15 18 16 6 , 15 11 8 18 18 16 6 16 3 0 1 6 7 5 2 2 13 5 23 -> 10 8 16 2 2 2 3 8 7 5 6 11 1 6 7 15 18 16 23 , 18 11 8 18 18 16 6 16 3 0 1 6 7 5 2 2 13 5 3 -> 11 8 16 2 2 2 3 8 7 5 6 11 1 6 7 15 18 16 3 , 18 11 8 18 18 16 6 16 3 0 1 6 7 5 2 2 13 5 2 -> 11 8 16 2 2 2 3 8 7 5 6 11 1 6 7 15 18 16 2 , 18 11 8 18 18 16 6 16 3 0 1 6 7 5 2 2 13 5 13 -> 11 8 16 2 2 2 3 8 7 5 6 11 1 6 7 15 18 16 13 , 18 11 8 18 18 16 6 16 3 0 1 6 7 5 2 2 13 5 6 -> 11 8 16 2 2 2 3 8 7 5 6 11 1 6 7 15 18 16 6 , 18 11 8 18 18 16 6 16 3 0 1 6 7 5 2 2 13 5 23 -> 11 8 16 2 2 2 3 8 7 5 6 11 1 6 7 15 18 16 23 , 19 11 8 18 18 16 6 16 3 0 1 6 7 5 2 2 13 5 3 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5 6 7 10 8 16 6 16 2 13 5 2 -> 2 2 6 7 5 6 16 3 8 16 2 6 16 6 7 14 14 5 2 , 2 2 2 6 18 7 14 5 6 7 10 8 16 6 16 2 13 5 13 -> 2 2 6 7 5 6 16 3 8 16 2 6 16 6 7 14 14 5 13 , 2 2 2 6 18 7 14 5 6 7 10 8 16 6 16 2 13 5 6 -> 2 2 6 7 5 6 16 3 8 16 2 6 16 6 7 14 14 5 6 , 2 2 2 6 18 7 14 5 6 7 10 8 16 6 16 2 13 5 23 -> 2 2 6 7 5 6 16 3 8 16 2 6 16 6 7 14 14 5 23 , 5 2 2 6 18 7 14 5 6 7 10 8 16 6 16 2 13 5 3 -> 5 2 6 7 5 6 16 3 8 16 2 6 16 6 7 14 14 5 3 , 5 2 2 6 18 7 14 5 6 7 10 8 16 6 16 2 13 5 2 -> 5 2 6 7 5 6 16 3 8 16 2 6 16 6 7 14 14 5 2 , 5 2 2 6 18 7 14 5 6 7 10 8 16 6 16 2 13 5 13 -> 5 2 6 7 5 6 16 3 8 16 2 6 16 6 7 14 14 5 13 , 5 2 2 6 18 7 14 5 6 7 10 8 16 6 16 2 13 5 6 -> 5 2 6 7 5 6 16 3 8 16 2 6 16 6 7 14 14 5 6 , 5 2 2 6 18 7 14 5 6 7 10 8 16 6 16 2 13 5 23 -> 5 2 6 7 5 6 16 3 8 16 2 6 16 6 7 14 14 5 23 , 16 2 2 6 18 7 14 5 6 7 10 8 16 6 16 2 13 5 3 -> 16 2 6 7 5 6 16 3 8 16 2 6 16 6 7 14 14 5 3 , 16 2 2 6 18 7 14 5 6 7 10 8 16 6 16 2 13 5 2 -> 16 2 6 7 5 6 16 3 8 16 2 6 16 6 7 14 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6 18 7 15 16 2 6 7 , 8 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 18 -> 8 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 18 , 8 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 22 -> 8 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 22 , 6 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 11 -> 6 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 11 , 6 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 16 -> 6 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 16 , 6 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 7 -> 6 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 7 , 6 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 18 -> 6 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 18 , 6 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 22 -> 6 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 22 , 15 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 11 -> 15 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 11 , 15 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 16 -> 15 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 16 , 15 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 7 -> 15 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 7 , 15 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 18 -> 15 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 18 , 15 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 22 -> 15 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 22 , 18 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 11 -> 18 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 11 , 18 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 16 -> 18 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 16 , 18 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 7 -> 18 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 7 , 18 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 18 -> 18 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 18 , 18 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 22 -> 18 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 22 , 19 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 11 -> 19 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 11 , 19 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 16 -> 19 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 16 , 19 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 7 -> 19 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 7 , 19 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 18 -> 19 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 18 , 19 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 22 -> 19 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 22 , 8 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 11 -> 0 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 11 , 8 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 16 -> 0 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 16 , 8 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 7 -> 0 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 7 , 8 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 18 -> 0 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 18 , 8 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 22 -> 0 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 22 , 6 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 11 -> 3 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 11 , 6 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 16 -> 3 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 16 , 6 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 7 -> 3 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 7 , 6 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 18 -> 3 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 18 , 6 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 22 -> 3 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 22 , 15 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 11 -> 10 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 11 , 15 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 16 -> 10 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 16 , 15 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 7 -> 10 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 7 , 15 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 18 -> 10 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 18 , 15 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 22 -> 10 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 22 , 18 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 11 -> 11 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 11 , 18 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 16 -> 11 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 16 , 18 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 7 -> 11 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 7 , 18 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 18 -> 11 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 18 , 18 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 22 -> 11 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 22 , 19 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 11 -> 12 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 11 , 19 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 16 -> 12 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 16 , 19 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 7 -> 12 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 7 , 19 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 18 -> 12 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 18 , 19 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 22 -> 12 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 22 , 0 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 11 -> 4 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 11 , 0 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 16 -> 4 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 16 , 0 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 7 -> 4 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 7 , 0 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 18 -> 4 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 18 , 0 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 22 -> 4 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 22 , 3 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 11 -> 13 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 11 , 3 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 16 -> 13 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 16 , 3 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 7 -> 13 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 7 , 3 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 18 -> 13 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 18 , 3 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 22 -> 13 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 22 , 10 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 11 -> 14 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 11 , 10 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 16 -> 14 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 16 , 10 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 7 -> 14 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 7 , 10 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 18 -> 14 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 18 , 10 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 22 -> 14 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 22 , 11 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 11 -> 7 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 11 , 11 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 16 -> 7 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 16 , 11 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 7 -> 7 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 7 , 11 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 18 -> 7 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 18 , 11 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 22 -> 7 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 22 , 12 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 11 -> 17 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 11 , 12 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 16 -> 17 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 16 , 12 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 7 -> 17 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 7 , 12 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 18 -> 17 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 18 , 12 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 22 -> 17 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 22 , 4 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 11 -> 4 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 11 , 4 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 16 -> 4 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 16 , 4 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 7 -> 4 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 7 , 4 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 18 -> 4 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 18 , 4 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 22 -> 4 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 22 , 13 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 11 -> 13 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 11 , 13 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 16 -> 13 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 16 , 13 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 7 -> 13 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 7 , 13 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 18 -> 13 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 18 , 13 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 22 -> 13 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 22 , 14 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 11 -> 14 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 11 , 14 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 16 -> 14 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 16 , 14 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 7 -> 14 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 7 , 14 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 18 -> 14 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 18 , 14 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 22 -> 14 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 22 , 7 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 11 -> 7 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 11 , 7 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 16 -> 7 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 16 , 7 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 7 -> 7 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 7 , 7 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 18 -> 7 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 18 , 7 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 22 -> 7 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 22 , 17 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 11 -> 17 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 11 , 17 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 16 -> 17 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 16 , 17 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 7 -> 17 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 7 , 17 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 18 -> 17 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 18 , 17 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 22 -> 17 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 22 , 8 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 11 -> 8 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 11 , 8 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 16 -> 8 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 16 , 8 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 7 -> 8 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 7 , 8 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 18 -> 8 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 18 , 8 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 22 -> 8 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 22 , 6 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 11 -> 6 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 11 , 6 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 16 -> 6 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 16 , 6 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 7 -> 6 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 7 , 6 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 18 -> 6 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 18 , 6 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 22 -> 6 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 22 , 15 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 11 -> 15 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 11 , 15 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 16 -> 15 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 16 , 15 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 7 -> 15 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 7 , 15 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 18 -> 15 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 18 , 15 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 22 -> 15 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 22 , 18 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 11 -> 18 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 11 , 18 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 16 -> 18 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 16 , 18 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 7 -> 18 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 7 , 18 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 18 -> 18 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 18 , 18 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 22 -> 18 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 22 , 19 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 11 -> 19 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 11 , 19 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 16 -> 19 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 16 , 19 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 7 -> 19 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 7 , 19 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 18 -> 19 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 18 , 19 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 22 -> 19 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 22 , 0 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 11 -> 1 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 11 , 0 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 16 -> 1 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 16 , 0 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 7 -> 1 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 7 , 0 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 18 -> 1 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 18 , 0 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 22 -> 1 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 22 , 3 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 11 -> 2 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 11 , 3 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 16 -> 2 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 16 , 3 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 7 -> 2 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 7 , 3 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 18 -> 2 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 18 , 3 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 22 -> 2 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 22 , 10 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 11 -> 5 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 11 , 10 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 16 -> 5 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 16 , 10 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 7 -> 5 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 7 , 10 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 18 -> 5 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 18 , 10 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 22 -> 5 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 22 , 11 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 11 -> 16 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 11 , 11 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 16 -> 16 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 16 , 11 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 7 -> 16 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 7 , 11 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 18 -> 16 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 18 , 11 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 22 -> 16 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 22 , 12 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 11 -> 20 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 11 , 12 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 16 -> 20 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 16 , 12 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 7 -> 20 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 7 , 12 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 18 -> 20 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 18 , 12 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 22 -> 20 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 22 , 0 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 11 -> 4 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 11 , 0 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 16 -> 4 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 16 , 0 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 7 -> 4 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 7 , 0 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 18 -> 4 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 18 , 0 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 22 -> 4 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 22 , 3 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 11 -> 13 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 11 , 3 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 16 -> 13 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 16 , 3 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 7 -> 13 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 7 , 3 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 18 -> 13 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 18 , 3 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 22 -> 13 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 22 , 10 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 11 -> 14 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 11 , 10 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 16 -> 14 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 16 , 10 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 7 -> 14 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 7 , 10 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 18 -> 14 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 18 , 10 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 22 -> 14 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 22 , 11 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 11 -> 7 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 11 , 11 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 16 -> 7 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 16 , 11 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 7 -> 7 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 7 , 11 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 18 -> 7 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 18 , 11 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 22 -> 7 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 22 , 12 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 11 -> 17 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 11 , 12 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 16 -> 17 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 16 , 12 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 7 -> 17 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 7 , 12 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 18 -> 17 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 18 , 12 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 22 -> 17 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 22 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2: 0 is interpreted by / \ | 1 1 | | 0 1 | \ / 1 is interpreted by / \ | 1 1 | | 0 1 | \ / 2 is interpreted by / \ | 1 1 | | 0 1 | \ / 3 is interpreted by / \ | 1 1 | | 0 1 | \ / 4 is interpreted by / \ | 1 1 | | 0 1 | \ / 5 is interpreted by / \ | 1 1 | | 0 1 | \ / 6 is interpreted by / \ | 1 1 | | 0 1 | \ / 7 is interpreted by / \ | 1 1 | | 0 1 | \ / 8 is interpreted by / \ | 1 1 | | 0 1 | \ / 9 is interpreted by / \ | 1 0 | | 0 1 | \ / 10 is interpreted by / \ | 1 1 | | 0 1 | \ / 11 is interpreted by / \ | 1 1 | | 0 1 | \ / 12 is interpreted by / \ | 1 1 | | 0 1 | \ / 13 is interpreted by / \ | 1 1 | | 0 1 | \ / 14 is interpreted by / \ | 1 1 | | 0 1 | \ / 15 is interpreted by / \ | 1 1 | | 0 1 | \ / 16 is interpreted by / \ | 1 1 | | 0 1 | \ / 17 is interpreted by / \ | 1 1 | | 0 1 | \ / 18 is interpreted by / \ | 1 1 | | 0 1 | \ / 19 is interpreted by / \ | 1 1 | | 0 1 | \ / 20 is interpreted by / \ | 1 1 | | 0 1 | \ / 21 is interpreted by / \ | 1 1 | | 0 1 | \ / 22 is interpreted by / \ | 1 1 | | 0 1 | \ / 23 is interpreted by / \ | 1 1 | | 0 1 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21, 22->22, 23->23 }, it remains to prove termination of the 1960-rule system { 0 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 0 -> 0 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 0 , 0 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 1 -> 0 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 1 , 0 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 4 -> 0 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 4 , 0 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 8 -> 0 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 8 , 0 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 9 -> 0 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 9 , 3 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 0 -> 3 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 0 , 3 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 1 -> 3 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 1 , 3 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 4 -> 3 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 4 , 3 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 8 -> 3 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 8 , 3 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 9 -> 3 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 9 , 10 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 0 -> 10 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 0 , 10 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 1 -> 10 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 1 , 10 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 4 -> 10 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 4 , 10 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 8 -> 10 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 8 , 10 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 9 -> 10 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 9 , 11 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 0 -> 11 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 0 , 11 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 1 -> 11 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 1 , 11 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 4 -> 11 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 4 , 11 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 8 -> 11 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 8 , 11 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 9 -> 11 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 9 , 12 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 0 -> 12 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 0 , 12 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 1 -> 12 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 1 , 12 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 4 -> 12 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 4 , 12 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 8 -> 12 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 8 , 12 0 1 2 3 1 2 3 4 5 2 2 6 7 5 2 3 0 9 -> 12 0 1 2 2 2 3 4 5 3 0 8 7 5 2 2 2 3 9 , 4 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 0 -> 4 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 0 , 4 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 1 -> 4 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 1 , 4 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 4 -> 4 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 4 , 4 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 8 -> 4 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 8 , 4 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 9 -> 4 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 9 , 13 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 0 -> 13 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 0 , 13 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 1 -> 13 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 1 , 13 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 4 -> 13 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 4 , 13 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 8 -> 13 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 8 , 13 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 9 -> 13 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 9 , 14 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 0 -> 14 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 0 , 14 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 1 -> 14 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 1 , 14 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 4 -> 14 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 4 , 14 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 8 -> 14 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 8 , 14 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 9 -> 14 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 9 , 7 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 0 -> 7 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 0 , 7 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 1 -> 7 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 1 , 7 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 4 -> 7 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 4 , 7 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 8 -> 7 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 8 , 7 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 9 -> 7 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 9 , 17 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 0 -> 17 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 0 , 17 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 1 -> 17 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 1 , 17 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 4 -> 17 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 4 , 17 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 8 -> 17 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 8 , 17 10 1 2 13 10 4 14 15 16 3 1 2 3 4 15 11 0 9 -> 17 5 3 1 2 13 15 16 3 4 10 0 0 8 7 14 5 3 9 , 8 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 0 -> 8 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 0 , 8 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 1 -> 8 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 1 , 8 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 4 -> 8 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 4 , 8 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 8 -> 8 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 8 , 8 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 9 -> 8 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 9 , 6 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 0 -> 6 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 0 , 6 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 1 -> 6 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 1 , 6 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 4 -> 6 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 4 , 6 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 8 -> 6 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 8 , 6 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 9 -> 6 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 9 , 15 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 0 -> 15 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 0 , 15 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 1 -> 15 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 1 , 15 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 4 -> 15 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 4 , 15 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 8 -> 15 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 8 , 15 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 9 -> 15 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 9 , 18 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 0 -> 18 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 0 , 18 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 1 -> 18 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 1 , 18 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 4 -> 18 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 4 , 18 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 8 -> 18 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 8 , 18 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 9 -> 18 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 9 , 19 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 0 -> 19 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 0 , 19 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 1 -> 19 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 1 , 19 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 4 -> 19 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 4 , 19 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 8 -> 19 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 8 , 19 16 13 5 3 4 14 15 11 4 10 0 4 14 5 3 4 10 9 -> 19 16 3 8 7 10 4 14 14 10 4 14 5 3 0 1 13 10 9 , 4 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 0 -> 4 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 0 , 4 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 1 -> 4 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 1 , 4 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 4 -> 4 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 4 , 4 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 8 -> 4 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 8 , 4 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 9 -> 4 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 9 , 13 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 0 -> 13 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 0 , 13 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 1 -> 13 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 1 , 13 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 4 -> 13 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 4 , 13 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 8 -> 13 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 8 , 13 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 9 -> 13 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 9 , 14 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 0 -> 14 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 0 , 14 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 1 -> 14 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 1 , 14 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 4 -> 14 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 4 , 14 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 8 -> 14 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 8 , 14 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 9 -> 14 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 9 , 7 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 0 -> 7 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 0 , 7 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 1 -> 7 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 1 , 7 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 4 -> 7 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 4 , 7 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 8 -> 7 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 8 , 7 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 9 -> 7 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 9 , 17 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 0 -> 17 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 0 , 17 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 1 -> 17 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 1 , 17 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 4 -> 17 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 4 , 17 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 8 -> 17 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 8 , 17 14 14 5 2 2 2 3 8 18 11 0 0 1 6 11 4 10 9 -> 17 15 7 5 2 3 1 2 2 3 0 8 11 8 7 14 10 0 9 , 1 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 0 -> 8 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 0 , 1 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 1 -> 8 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 1 , 1 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 4 -> 8 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 4 , 1 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 8 -> 8 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 8 , 1 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 9 -> 8 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 9 , 2 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 0 -> 6 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 0 , 2 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 1 -> 6 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 1 , 2 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 4 -> 6 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 4 , 2 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 8 -> 6 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 8 , 2 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 9 -> 6 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 9 , 5 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 0 -> 15 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 0 , 5 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 1 -> 15 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 1 , 5 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 4 -> 15 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 4 , 5 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 8 -> 15 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 8 , 5 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 9 -> 15 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 9 , 16 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 0 -> 18 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 0 , 16 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 1 -> 18 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 1 , 16 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 4 -> 18 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 4 , 16 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 8 -> 18 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 8 , 16 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 9 -> 18 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 9 , 20 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 0 -> 19 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 0 , 20 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 1 -> 19 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 1 , 20 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 4 -> 19 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 4 , 20 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 8 -> 19 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 8 , 20 6 18 18 16 3 4 15 7 10 4 14 15 7 14 14 14 10 9 -> 19 7 14 15 7 5 6 7 10 4 15 7 14 15 7 10 1 3 9 , 4 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 0 -> 1 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 0 , 4 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 1 -> 1 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 1 , 4 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 4 -> 1 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 4 , 4 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 8 -> 1 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 8 , 4 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 9 -> 1 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 9 , 13 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 0 -> 2 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 0 , 13 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 1 -> 2 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 1 , 13 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 4 -> 2 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 4 , 13 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 8 -> 2 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 8 , 13 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 9 -> 2 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 9 , 14 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 0 -> 5 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 0 , 14 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 1 -> 5 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 1 , 14 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 4 -> 5 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 4 , 14 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 8 -> 5 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 8 , 14 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 9 -> 5 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 9 , 7 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 0 -> 16 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 0 , 7 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 1 -> 16 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 1 , 7 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 4 -> 16 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 4 , 7 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 8 -> 16 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 8 , 7 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 9 -> 16 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 9 , 17 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 0 -> 20 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 0 , 17 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 1 -> 20 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 1 , 17 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 4 -> 20 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 4 , 17 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 8 -> 20 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 8 , 17 10 4 15 11 4 10 0 1 2 13 10 4 5 6 16 13 10 9 -> 20 6 7 10 8 11 4 14 10 0 1 2 3 4 14 14 5 3 9 , 4 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 0 -> 4 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 0 , 4 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 1 -> 4 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 1 , 4 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 4 -> 4 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 4 , 4 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 8 -> 4 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 8 , 4 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 9 -> 4 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 9 , 13 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 0 -> 13 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 0 , 13 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 1 -> 13 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 1 , 13 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 4 -> 13 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 4 , 13 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 8 -> 13 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 8 , 13 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 9 -> 13 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 9 , 14 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 0 -> 14 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 0 , 14 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 1 -> 14 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 1 , 14 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 4 -> 14 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 4 , 14 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 8 -> 14 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 8 , 14 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 9 -> 14 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 9 , 7 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 0 -> 7 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 0 , 7 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 1 -> 7 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 1 , 7 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 4 -> 7 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 4 , 7 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 8 -> 7 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 8 , 7 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 9 -> 7 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 9 , 17 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 0 -> 17 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 0 , 17 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 1 -> 17 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 1 , 17 14 5 2 13 10 4 10 1 6 11 8 11 8 11 4 5 3 4 -> 17 14 10 0 8 11 0 4 14 5 13 5 2 6 11 8 16 3 4 , 17 14 5 2 13 10 4 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5 3 0 1 2 2 -> 1 2 2 3 1 3 1 2 13 14 5 3 4 14 5 2 2 2 2 , 1 2 2 2 2 2 13 10 1 13 5 13 14 5 3 0 1 2 13 -> 1 2 2 3 1 3 1 2 13 14 5 3 4 14 5 2 2 2 13 , 1 2 2 2 2 2 13 10 1 13 5 13 14 5 3 0 1 2 6 -> 1 2 2 3 1 3 1 2 13 14 5 3 4 14 5 2 2 2 6 , 1 2 2 2 2 2 13 10 1 13 5 13 14 5 3 0 1 2 23 -> 1 2 2 3 1 3 1 2 13 14 5 3 4 14 5 2 2 2 23 , 2 2 2 2 2 2 13 10 1 13 5 13 14 5 3 0 1 2 3 -> 2 2 2 3 1 3 1 2 13 14 5 3 4 14 5 2 2 2 3 , 2 2 2 2 2 2 13 10 1 13 5 13 14 5 3 0 1 2 2 -> 2 2 2 3 1 3 1 2 13 14 5 3 4 14 5 2 2 2 2 , 2 2 2 2 2 2 13 10 1 13 5 13 14 5 3 0 1 2 13 -> 2 2 2 3 1 3 1 2 13 14 5 3 4 14 5 2 2 2 13 , 2 2 2 2 2 2 13 10 1 13 5 13 14 5 3 0 1 2 6 -> 2 2 2 3 1 3 1 2 13 14 5 3 4 14 5 2 2 2 6 , 2 2 2 2 2 2 13 10 1 13 5 13 14 5 3 0 1 2 23 -> 2 2 2 3 1 3 1 2 13 14 5 3 4 14 5 2 2 2 23 , 5 2 2 2 2 2 13 10 1 13 5 13 14 5 3 0 1 2 3 -> 5 2 2 3 1 3 1 2 13 14 5 3 4 14 5 2 2 2 3 , 5 2 2 2 2 2 13 10 1 13 5 13 14 5 3 0 1 2 2 -> 5 2 2 3 1 3 1 2 13 14 5 3 4 14 5 2 2 2 2 , 5 2 2 2 2 2 13 10 1 13 5 13 14 5 3 0 1 2 13 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2 6 -> 20 2 2 3 1 3 1 2 13 14 5 3 4 14 5 2 2 2 6 , 20 2 2 2 2 2 13 10 1 13 5 13 14 5 3 0 1 2 23 -> 20 2 2 3 1 3 1 2 13 14 5 3 4 14 5 2 2 2 23 , 0 0 8 11 4 10 8 7 5 13 15 11 1 13 15 11 1 2 3 -> 0 1 13 14 10 0 0 8 7 10 8 11 8 7 5 2 6 16 3 , 0 0 8 11 4 10 8 7 5 13 15 11 1 13 15 11 1 2 2 -> 0 1 13 14 10 0 0 8 7 10 8 11 8 7 5 2 6 16 2 , 0 0 8 11 4 10 8 7 5 13 15 11 1 13 15 11 1 2 13 -> 0 1 13 14 10 0 0 8 7 10 8 11 8 7 5 2 6 16 13 , 0 0 8 11 4 10 8 7 5 13 15 11 1 13 15 11 1 2 6 -> 0 1 13 14 10 0 0 8 7 10 8 11 8 7 5 2 6 16 6 , 0 0 8 11 4 10 8 7 5 13 15 11 1 13 15 11 1 2 23 -> 0 1 13 14 10 0 0 8 7 10 8 11 8 7 5 2 6 16 23 , 3 0 8 11 4 10 8 7 5 13 15 11 1 13 15 11 1 2 3 -> 3 1 13 14 10 0 0 8 7 10 8 11 8 7 5 2 6 16 3 , 3 0 8 11 4 10 8 7 5 13 15 11 1 13 15 11 1 2 2 -> 3 1 13 14 10 0 0 8 7 10 8 11 8 7 5 2 6 16 2 , 3 0 8 11 4 10 8 7 5 13 15 11 1 13 15 11 1 2 13 -> 3 1 13 14 10 0 0 8 7 10 8 11 8 7 5 2 6 16 13 , 3 0 8 11 4 10 8 7 5 13 15 11 1 13 15 11 1 2 6 -> 3 1 13 14 10 0 0 8 7 10 8 11 8 7 5 2 6 16 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13 14 5 3 8 11 0 1 13 10 4 5 2 3 -> 16 13 5 2 13 10 1 3 0 4 14 14 5 6 11 4 5 2 3 , 16 13 5 13 5 13 14 5 3 8 11 0 1 13 10 4 5 2 2 -> 16 13 5 2 13 10 1 3 0 4 14 14 5 6 11 4 5 2 2 , 16 13 5 13 5 13 14 5 3 8 11 0 1 13 10 4 5 2 13 -> 16 13 5 2 13 10 1 3 0 4 14 14 5 6 11 4 5 2 13 , 16 13 5 13 5 13 14 5 3 8 11 0 1 13 10 4 5 2 6 -> 16 13 5 2 13 10 1 3 0 4 14 14 5 6 11 4 5 2 6 , 16 13 5 13 5 13 14 5 3 8 11 0 1 13 10 4 5 2 23 -> 16 13 5 2 13 10 1 3 0 4 14 14 5 6 11 4 5 2 23 , 20 13 5 13 5 13 14 5 3 8 11 0 1 13 10 4 5 2 3 -> 20 13 5 2 13 10 1 3 0 4 14 14 5 6 11 4 5 2 3 , 20 13 5 13 5 13 14 5 3 8 11 0 1 13 10 4 5 2 2 -> 20 13 5 2 13 10 1 3 0 4 14 14 5 6 11 4 5 2 2 , 20 13 5 13 5 13 14 5 3 8 11 0 1 13 10 4 5 2 13 -> 20 13 5 2 13 10 1 3 0 4 14 14 5 6 11 4 5 2 13 , 20 13 5 13 5 13 14 5 3 8 11 0 1 13 10 4 5 2 6 -> 20 13 5 2 13 10 1 3 0 4 14 14 5 6 11 4 5 2 6 , 20 13 5 13 5 13 14 5 3 8 11 0 1 13 10 4 5 2 23 -> 20 13 5 2 13 10 1 3 0 4 14 14 5 6 11 4 5 2 23 , 4 14 15 11 1 2 3 4 15 7 5 13 15 16 13 14 5 2 3 -> 4 15 7 5 3 0 4 5 2 13 15 7 14 15 16 13 5 2 3 , 4 14 15 11 1 2 3 4 15 7 5 13 15 16 13 14 5 2 2 -> 4 15 7 5 3 0 4 5 2 13 15 7 14 15 16 13 5 2 2 , 4 14 15 11 1 2 3 4 15 7 5 13 15 16 13 14 5 2 13 -> 4 15 7 5 3 0 4 5 2 13 15 7 14 15 16 13 5 2 13 , 4 14 15 11 1 2 3 4 15 7 5 13 15 16 13 14 5 2 6 -> 4 15 7 5 3 0 4 5 2 13 15 7 14 15 16 13 5 2 6 , 4 14 15 11 1 2 3 4 15 7 5 13 15 16 13 14 5 2 23 -> 4 15 7 5 3 0 4 5 2 13 15 7 14 15 16 13 5 2 23 , 13 14 15 11 1 2 3 4 15 7 5 13 15 16 13 14 5 2 3 -> 13 15 7 5 3 0 4 5 2 13 15 7 14 15 16 13 5 2 3 , 13 14 15 11 1 2 3 4 15 7 5 13 15 16 13 14 5 2 2 -> 13 15 7 5 3 0 4 5 2 13 15 7 14 15 16 13 5 2 2 , 13 14 15 11 1 2 3 4 15 7 5 13 15 16 13 14 5 2 13 -> 13 15 7 5 3 0 4 5 2 13 15 7 14 15 16 13 5 2 13 , 13 14 15 11 1 2 3 4 15 7 5 13 15 16 13 14 5 2 6 -> 13 15 7 5 3 0 4 5 2 13 15 7 14 15 16 13 5 2 6 , 13 14 15 11 1 2 3 4 15 7 5 13 15 16 13 14 5 2 23 -> 13 15 7 5 3 0 4 5 2 13 15 7 14 15 16 13 5 2 23 , 14 14 15 11 1 2 3 4 15 7 5 13 15 16 13 14 5 2 3 -> 14 15 7 5 3 0 4 5 2 13 15 7 14 15 16 13 5 2 3 , 14 14 15 11 1 2 3 4 15 7 5 13 15 16 13 14 5 2 2 -> 14 15 7 5 3 0 4 5 2 13 15 7 14 15 16 13 5 2 2 , 14 14 15 11 1 2 3 4 15 7 5 13 15 16 13 14 5 2 13 -> 14 15 7 5 3 0 4 5 2 13 15 7 14 15 16 13 5 2 13 , 14 14 15 11 1 2 3 4 15 7 5 13 15 16 13 14 5 2 6 -> 14 15 7 5 3 0 4 5 2 13 15 7 14 15 16 13 5 2 6 , 14 14 15 11 1 2 3 4 15 7 5 13 15 16 13 14 5 2 23 -> 14 15 7 5 3 0 4 5 2 13 15 7 14 15 16 13 5 2 23 , 7 14 15 11 1 2 3 4 15 7 5 13 15 16 13 14 5 2 3 -> 7 15 7 5 3 0 4 5 2 13 15 7 14 15 16 13 5 2 3 , 7 14 15 11 1 2 3 4 15 7 5 13 15 16 13 14 5 2 2 -> 7 15 7 5 3 0 4 5 2 13 15 7 14 15 16 13 5 2 2 , 7 14 15 11 1 2 3 4 15 7 5 13 15 16 13 14 5 2 13 -> 7 15 7 5 3 0 4 5 2 13 15 7 14 15 16 13 5 2 13 , 7 14 15 11 1 2 3 4 15 7 5 13 15 16 13 14 5 2 6 -> 7 15 7 5 3 0 4 5 2 13 15 7 14 15 16 13 5 2 6 , 7 14 15 11 1 2 3 4 15 7 5 13 15 16 13 14 5 2 23 -> 7 15 7 5 3 0 4 5 2 13 15 7 14 15 16 13 5 2 23 , 17 14 15 11 1 2 3 4 15 7 5 13 15 16 13 14 5 2 3 -> 17 15 7 5 3 0 4 5 2 13 15 7 14 15 16 13 5 2 3 , 17 14 15 11 1 2 3 4 15 7 5 13 15 16 13 14 5 2 2 -> 17 15 7 5 3 0 4 5 2 13 15 7 14 15 16 13 5 2 2 , 17 14 15 11 1 2 3 4 15 7 5 13 15 16 13 14 5 2 13 -> 17 15 7 5 3 0 4 5 2 13 15 7 14 15 16 13 5 2 13 , 17 14 15 11 1 2 3 4 15 7 5 13 15 16 13 14 5 2 6 -> 17 15 7 5 3 0 4 5 2 13 15 7 14 15 16 13 5 2 6 , 17 14 15 11 1 2 3 4 15 7 5 13 15 16 13 14 5 2 23 -> 17 15 7 5 3 0 4 5 2 13 15 7 14 15 16 13 5 2 23 , 0 4 14 10 4 15 16 6 16 13 10 0 4 15 7 14 5 2 3 -> 0 4 14 10 8 7 14 5 6 7 5 3 4 15 16 2 13 10 0 , 0 4 14 10 4 15 16 6 16 13 10 0 4 15 7 14 5 2 2 -> 0 4 14 10 8 7 14 5 6 7 5 3 4 15 16 2 13 10 1 , 0 4 14 10 4 15 16 6 16 13 10 0 4 15 7 14 5 2 13 -> 0 4 14 10 8 7 14 5 6 7 5 3 4 15 16 2 13 10 4 , 0 4 14 10 4 15 16 6 16 13 10 0 4 15 7 14 5 2 6 -> 0 4 14 10 8 7 14 5 6 7 5 3 4 15 16 2 13 10 8 , 3 4 14 10 4 15 16 6 16 13 10 0 4 15 7 14 5 2 3 -> 3 4 14 10 8 7 14 5 6 7 5 3 4 15 16 2 13 10 0 , 3 4 14 10 4 15 16 6 16 13 10 0 4 15 7 14 5 2 2 -> 3 4 14 10 8 7 14 5 6 7 5 3 4 15 16 2 13 10 1 , 3 4 14 10 4 15 16 6 16 13 10 0 4 15 7 14 5 2 13 -> 3 4 14 10 8 7 14 5 6 7 5 3 4 15 16 2 13 10 4 , 3 4 14 10 4 15 16 6 16 13 10 0 4 15 7 14 5 2 6 -> 3 4 14 10 8 7 14 5 6 7 5 3 4 15 16 2 13 10 8 , 10 4 14 10 4 15 16 6 16 13 10 0 4 15 7 14 5 2 3 -> 10 4 14 10 8 7 14 5 6 7 5 3 4 15 16 2 13 10 0 , 10 4 14 10 4 15 16 6 16 13 10 0 4 15 7 14 5 2 2 -> 10 4 14 10 8 7 14 5 6 7 5 3 4 15 16 2 13 10 1 , 10 4 14 10 4 15 16 6 16 13 10 0 4 15 7 14 5 2 13 -> 10 4 14 10 8 7 14 5 6 7 5 3 4 15 16 2 13 10 4 , 10 4 14 10 4 15 16 6 16 13 10 0 4 15 7 14 5 2 6 -> 10 4 14 10 8 7 14 5 6 7 5 3 4 15 16 2 13 10 8 , 11 4 14 10 4 15 16 6 16 13 10 0 4 15 7 14 5 2 3 -> 11 4 14 10 8 7 14 5 6 7 5 3 4 15 16 2 13 10 0 , 11 4 14 10 4 15 16 6 16 13 10 0 4 15 7 14 5 2 2 -> 11 4 14 10 8 7 14 5 6 7 5 3 4 15 16 2 13 10 1 , 11 4 14 10 4 15 16 6 16 13 10 0 4 15 7 14 5 2 13 -> 11 4 14 10 8 7 14 5 6 7 5 3 4 15 16 2 13 10 4 , 11 4 14 10 4 15 16 6 16 13 10 0 4 15 7 14 5 2 6 -> 11 4 14 10 8 7 14 5 6 7 5 3 4 15 16 2 13 10 8 , 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15 7 10 8 7 5 6 11 8 18 7 14 14 5 6 7 15 7 , 14 15 18 7 15 18 16 13 5 6 7 14 10 8 11 4 14 15 18 -> 14 15 7 10 8 7 5 6 11 8 18 7 14 14 5 6 7 15 18 , 14 15 18 7 15 18 16 13 5 6 7 14 10 8 11 4 14 15 22 -> 14 15 7 10 8 7 5 6 11 8 18 7 14 14 5 6 7 15 22 , 7 15 18 7 15 18 16 13 5 6 7 14 10 8 11 4 14 15 11 -> 7 15 7 10 8 7 5 6 11 8 18 7 14 14 5 6 7 15 11 , 7 15 18 7 15 18 16 13 5 6 7 14 10 8 11 4 14 15 16 -> 7 15 7 10 8 7 5 6 11 8 18 7 14 14 5 6 7 15 16 , 7 15 18 7 15 18 16 13 5 6 7 14 10 8 11 4 14 15 7 -> 7 15 7 10 8 7 5 6 11 8 18 7 14 14 5 6 7 15 7 , 7 15 18 7 15 18 16 13 5 6 7 14 10 8 11 4 14 15 18 -> 7 15 7 10 8 7 5 6 11 8 18 7 14 14 5 6 7 15 18 , 7 15 18 7 15 18 16 13 5 6 7 14 10 8 11 4 14 15 22 -> 7 15 7 10 8 7 5 6 11 8 18 7 14 14 5 6 7 15 22 , 17 15 18 7 15 18 16 13 5 6 7 14 10 8 11 4 14 15 11 -> 17 15 7 10 8 7 5 6 11 8 18 7 14 14 5 6 7 15 11 , 17 15 18 7 15 18 16 13 5 6 7 14 10 8 11 4 14 15 16 -> 17 15 7 10 8 7 5 6 11 8 18 7 14 14 5 6 7 15 16 , 17 15 18 7 15 18 16 13 5 6 7 14 10 8 11 4 14 15 7 -> 17 15 7 10 8 7 5 6 11 8 18 7 14 14 5 6 7 15 7 , 17 15 18 7 15 18 16 13 5 6 7 14 10 8 11 4 14 15 18 -> 17 15 7 10 8 7 5 6 11 8 18 7 14 14 5 6 7 15 18 , 17 15 18 7 15 18 16 13 5 6 7 14 10 8 11 4 14 15 22 -> 17 15 7 10 8 7 5 6 11 8 18 7 14 14 5 6 7 15 22 , 8 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 11 -> 8 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 11 , 8 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 16 -> 8 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 16 , 8 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 7 -> 8 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 7 , 8 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 18 -> 8 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 18 , 8 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 22 -> 8 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 22 , 6 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 11 -> 6 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 11 , 6 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 16 -> 6 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 16 , 6 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 7 -> 6 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 7 , 6 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 18 -> 6 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 18 , 6 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 22 -> 6 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 22 , 15 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 11 -> 15 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 11 , 15 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 16 -> 15 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 16 , 15 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 7 -> 15 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 7 , 15 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 18 -> 15 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 18 , 15 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 22 -> 15 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 22 , 18 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 11 -> 18 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 11 , 18 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 16 -> 18 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 16 , 18 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 7 -> 18 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 7 , 18 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 18 -> 18 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 18 , 18 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 22 -> 18 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 22 , 19 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 11 -> 19 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 11 , 19 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 16 -> 19 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 16 , 19 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 7 -> 19 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 7 , 19 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 18 -> 19 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 18 , 19 7 14 15 18 16 6 18 11 1 6 16 2 6 11 1 13 15 22 -> 19 7 15 16 3 1 3 8 18 7 5 6 18 7 15 16 2 6 22 , 8 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 11 -> 0 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 11 , 8 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 16 -> 0 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 16 , 8 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 7 -> 0 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 7 , 8 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 18 -> 0 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 18 , 8 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 22 -> 0 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 22 , 6 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 11 -> 3 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 11 , 6 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 16 -> 3 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 16 , 6 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 7 -> 3 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 7 , 6 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 18 -> 3 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 18 , 6 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 22 -> 3 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 22 , 15 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 11 -> 10 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 11 , 15 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 16 -> 10 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 16 , 15 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 7 -> 10 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 7 , 15 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 18 -> 10 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 18 , 15 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 22 -> 10 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 22 , 18 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 11 -> 11 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 11 , 18 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 16 -> 11 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 16 , 18 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 7 -> 11 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 7 , 18 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 18 -> 11 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 18 , 18 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 22 -> 11 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 22 , 19 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 11 -> 12 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 11 , 19 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 16 -> 12 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 16 , 19 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 7 -> 12 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 7 , 19 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 18 -> 12 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 18 , 19 11 0 0 1 6 18 7 14 14 15 16 3 1 6 16 13 15 22 -> 12 8 18 16 13 15 16 3 0 4 5 3 8 7 5 6 7 15 22 , 0 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 11 -> 4 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 11 , 0 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 16 -> 4 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 16 , 0 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 7 -> 4 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 7 , 0 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 18 -> 4 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 18 , 0 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 22 -> 4 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 22 , 3 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 11 -> 13 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 11 , 3 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 16 -> 13 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 16 , 3 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 7 -> 13 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 7 , 3 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 18 -> 13 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 18 , 3 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 22 -> 13 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 22 , 10 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 11 -> 14 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 11 , 10 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 16 -> 14 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 16 , 10 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 7 -> 14 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 7 , 10 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 18 -> 14 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 18 , 10 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 22 -> 14 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 22 , 11 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 11 -> 7 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 11 , 11 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 16 -> 7 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 16 , 11 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 7 -> 7 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 7 , 11 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 18 -> 7 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 18 , 11 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 22 -> 7 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 22 , 12 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 11 -> 17 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 11 , 12 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 16 -> 17 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 16 , 12 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 7 -> 17 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 7 , 12 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 18 -> 17 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 18 , 12 4 10 4 14 5 13 15 18 18 18 11 4 5 13 10 1 6 22 -> 17 10 1 3 4 14 15 7 14 15 18 16 6 7 5 3 0 8 22 , 4 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 11 -> 4 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 11 , 4 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 16 -> 4 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 16 , 4 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 7 -> 4 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 7 , 4 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 18 -> 4 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 18 , 4 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 22 -> 4 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 22 , 13 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 11 -> 13 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 11 , 13 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 16 -> 13 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 16 , 13 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 7 -> 13 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 7 , 13 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 18 -> 13 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 18 , 13 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 22 -> 13 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 22 , 14 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 11 -> 14 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 11 , 14 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 16 -> 14 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 16 , 14 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 7 -> 14 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 7 , 14 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 18 -> 14 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 18 , 14 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 22 -> 14 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 22 , 7 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 11 -> 7 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 11 , 7 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 16 -> 7 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 16 , 7 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 7 -> 7 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 7 , 7 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 18 -> 7 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 18 , 7 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 22 -> 7 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 22 , 17 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 11 -> 17 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 11 , 17 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 16 -> 17 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 16 , 17 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 7 -> 17 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 7 , 17 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 18 -> 17 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 18 , 17 14 14 10 1 3 0 4 10 1 6 18 11 1 2 6 16 6 22 -> 17 14 5 2 3 1 3 8 16 13 10 8 11 1 6 7 10 8 22 , 8 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 11 -> 8 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 11 , 8 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 16 -> 8 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 16 , 8 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 7 -> 8 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 7 , 8 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 18 -> 8 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 18 , 8 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 22 -> 8 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 22 , 6 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 11 -> 6 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 11 , 6 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 16 -> 6 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 16 , 6 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 7 -> 6 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 7 , 6 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 18 -> 6 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 18 , 6 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 22 -> 6 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 22 , 15 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 11 -> 15 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 11 , 15 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 16 -> 15 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 16 , 15 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 7 -> 15 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 7 , 15 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 18 -> 15 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 18 , 15 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 22 -> 15 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 22 , 18 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 11 -> 18 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 11 , 18 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 16 -> 18 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 16 , 18 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 7 -> 18 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 7 , 18 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 18 -> 18 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 18 , 18 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 22 -> 18 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 22 , 19 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 11 -> 19 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 11 , 19 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 16 -> 19 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 16 , 19 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 7 -> 19 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 7 , 19 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 18 -> 19 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 18 , 19 18 18 16 13 15 7 14 14 14 10 1 6 11 4 10 8 18 22 -> 19 7 15 7 10 8 7 5 3 8 18 11 4 14 14 15 16 6 22 , 0 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 11 -> 1 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 11 , 0 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 16 -> 1 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 16 , 0 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 7 -> 1 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 7 , 0 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 18 -> 1 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 18 , 0 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 22 -> 1 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 22 , 3 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 11 -> 2 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 11 , 3 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 16 -> 2 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 16 , 3 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 7 -> 2 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 7 , 3 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 18 -> 2 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 18 , 3 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 22 -> 2 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 22 , 10 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 11 -> 5 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 11 , 10 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 16 -> 5 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 16 , 10 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 7 -> 5 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 7 , 10 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 18 -> 5 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 18 , 10 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 22 -> 5 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 22 , 11 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 11 -> 16 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 11 , 11 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 16 -> 16 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 16 , 11 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 7 -> 16 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 7 , 11 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 18 -> 16 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 18 , 11 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 22 -> 16 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 22 , 12 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 11 -> 20 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 11 , 12 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 16 -> 20 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 16 , 12 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 7 -> 20 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 7 , 12 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 18 -> 20 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 18 , 12 1 2 3 8 11 1 3 4 15 11 8 16 6 11 4 15 18 22 -> 20 2 2 3 8 7 10 0 4 10 8 11 8 11 1 6 18 18 22 , 0 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 11 -> 4 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 11 , 0 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 16 -> 4 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 16 , 0 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 7 -> 4 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 7 , 0 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 18 -> 4 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 18 , 0 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 22 -> 4 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 22 , 3 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 11 -> 13 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 11 , 3 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 16 -> 13 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 16 , 3 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 7 -> 13 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 7 , 3 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 18 -> 13 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 18 , 3 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 22 -> 13 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 22 , 10 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 11 -> 14 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 11 , 10 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 16 -> 14 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 16 , 10 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 7 -> 14 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 7 , 10 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 18 -> 14 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 18 , 10 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 22 -> 14 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 22 , 11 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 11 -> 7 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 11 , 11 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 16 -> 7 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 16 , 11 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 7 -> 7 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 7 , 11 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 18 -> 7 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 18 , 11 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 22 -> 7 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 22 , 12 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 11 -> 17 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 11 , 12 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 16 -> 17 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 16 , 12 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 7 -> 17 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 7 , 12 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 18 -> 17 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 18 , 12 4 5 13 14 14 10 8 7 15 18 18 16 2 2 13 15 18 22 -> 17 14 14 5 3 8 7 5 2 3 8 7 15 16 13 15 18 18 22 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2: 0 is interpreted by / \ | 1 0 | | 0 1 | \ / 1 is interpreted by / \ | 1 2 | | 0 1 | \ / 2 is interpreted by / \ | 1 0 | | 0 1 | \ / 3 is interpreted by / \ | 1 0 | | 0 1 | \ / 4 is interpreted by / \ | 1 4 | | 0 1 | \ / 5 is interpreted by / \ | 1 0 | | 0 1 | \ / 6 is interpreted by / \ | 1 1 | | 0 1 | \ / 7 is interpreted by / \ | 1 0 | | 0 1 | \ / 8 is interpreted by / \ | 1 1 | | 0 1 | \ / 9 is interpreted by / \ | 1 0 | | 0 1 | \ / 10 is interpreted by / \ | 1 0 | | 0 1 | \ / 11 is interpreted by / \ | 1 1 | | 0 1 | \ / 12 is interpreted by / \ | 1 0 | | 0 1 | \ / 13 is interpreted by / \ | 1 2 | | 0 1 | \ / 14 is interpreted by / \ | 1 0 | | 0 1 | \ / 15 is interpreted by / \ | 1 0 | | 0 1 | \ / 16 is interpreted by / \ | 1 0 | | 0 1 | \ / 17 is interpreted by / \ | 1 0 | | 0 1 | \ / 18 is interpreted by / \ | 1 1 | | 0 1 | \ / 19 is interpreted by / \ | 1 1 | | 0 1 | \ / 20 is interpreted by / \ | 1 0 | | 0 1 | \ / 21 is interpreted by / \ | 1 0 | | 0 1 | \ / 22 is interpreted by / \ | 1 0 | | 0 1 | \ / 23 is interpreted by / \ | 1 0 | | 0 1 | \ / After renaming modulo { 1->0, 3->1, 8->2, 16->3, 2->4, 13->5, 14->6, 5->7, 6->8, 7->9, 10->10, 4->11, 15->12, 21->13, 20->14, 0->15, 11->16, 18->17, 12->18, 17->19, 23->20, 19->21, 22->22 }, it remains to prove termination of the 202-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 15 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 15 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 1 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 1 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 10 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 10 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 16 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 16 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 18 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 18 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 2 9 7 4 5 12 16 15 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 15 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 11 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 19 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 19 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 19 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 19 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 16 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 3 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 9 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 17 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 17 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 22 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 22 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 16 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 3 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 9 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 17 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 17 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 22 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 22 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 22 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21, 22->22 }, it remains to prove termination of the 201-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 15 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 15 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 1 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 1 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 10 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 10 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 16 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 16 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 18 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 18 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 2 9 7 4 5 12 16 15 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 15 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 11 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 19 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 19 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 19 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 19 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 16 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 3 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 9 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 17 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 17 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 22 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 22 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 16 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 3 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 9 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 17 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 17 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 22 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 22 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 22 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21, 22->22 }, it remains to prove termination of the 200-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 15 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 15 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 1 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 1 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 10 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 10 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 16 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 16 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 18 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 18 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 2 9 7 4 5 12 16 15 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 15 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 11 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 19 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 19 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 19 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 19 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 16 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 3 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 9 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 17 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 17 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 22 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 22 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 16 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 3 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 9 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 17 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 17 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 22 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 22 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 22 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21, 22->22 }, it remains to prove termination of the 199-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 15 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 15 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 1 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 1 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 10 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 10 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 16 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 16 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 18 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 18 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 2 9 7 4 5 12 16 15 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 15 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 11 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 19 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 19 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 19 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 19 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 16 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 3 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 9 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 17 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 17 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 22 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 22 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 16 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 3 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 9 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 17 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 17 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 22 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 22 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 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0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 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0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 22 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21, 22->22 }, it remains to prove termination of the 198-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 15 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 15 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 1 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 1 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 10 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 10 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 16 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 16 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 18 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 18 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 2 9 7 4 5 12 16 15 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 15 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 11 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 19 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 19 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 19 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 19 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 16 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 3 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 9 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 17 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 17 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 22 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 22 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 16 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 3 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 9 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 17 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 17 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 22 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 22 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 22 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21, 22->22 }, it remains to prove termination of the 197-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 15 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 15 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 1 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 1 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 10 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 10 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 16 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 16 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 18 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 18 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 2 9 7 4 5 12 16 15 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 15 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 11 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 19 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 19 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 19 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 19 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 16 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 3 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 9 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 17 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 17 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 22 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 22 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 16 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 3 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 9 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 17 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 17 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 22 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 22 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 22 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21, 22->22 }, it remains to prove termination of the 196-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 15 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 15 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 1 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 1 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 10 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 10 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 16 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 16 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 18 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 18 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 2 9 7 4 5 12 16 15 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 15 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 11 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 19 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 19 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 19 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 19 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 16 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 3 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 9 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 17 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 17 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 22 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 22 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 16 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 3 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 9 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 17 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 17 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 22 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 22 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 22 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21, 22->22 }, it remains to prove termination of the 195-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 1 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 1 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 10 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 10 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 16 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 16 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 18 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 18 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 2 9 7 4 5 12 16 15 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 15 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 11 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 19 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 19 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 19 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 19 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 16 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 3 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 9 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 17 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 17 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 22 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 22 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 16 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 3 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 9 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 17 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 17 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 22 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 22 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 22 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21, 22->22 }, it remains to prove termination of the 194-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 10 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 10 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 16 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 16 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 18 15 15 15 11 12 16 11 7 4 8 16 11 7 8 17 3 5 6 -> 18 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 16 11 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 5 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 6 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 9 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 19 12 17 16 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 20 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 20 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 5 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 5 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 9 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 9 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 19 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 20 -> 19 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 20 , 2 9 7 4 5 12 16 15 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 15 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 20 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 20 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 20 , 11 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 19 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 19 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 19 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 19 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 2 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 8 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 12 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 17 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 17 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 1 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 4 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 5 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 8 , 21 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 20 -> 21 3 1 0 4 4 8 17 16 2 17 3 5 10 11 6 7 4 20 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 16 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 3 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 9 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 17 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 17 , 12 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 22 -> 10 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 22 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 16 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 3 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 9 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 17 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 17 , 17 16 15 15 0 8 17 9 6 6 12 3 1 0 8 3 5 12 22 -> 16 2 17 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 22 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 22 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 16->15, 15->16, 17->17, 18->18, 19->19, 20->20, 21->21, 22->22 }, it remains to prove termination of the 193-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 15 16 16 16 11 12 15 11 7 4 8 15 11 7 8 17 3 5 6 -> 15 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 15 11 , 18 16 16 16 11 12 15 11 7 4 8 15 11 7 8 17 3 5 6 -> 18 0 1 2 17 3 5 7 1 11 10 2 9 7 5 10 2 15 11 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 17 15 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 17 15 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 17 15 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 17 15 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 11 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 17 15 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 17 15 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 5 12 17 15 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 5 12 17 15 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 17 15 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 5 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 5 12 17 15 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 17 15 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 6 12 17 15 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 6 12 17 15 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 17 15 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 6 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 6 12 17 15 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 17 15 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 9 12 17 15 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 9 12 17 15 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 17 15 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 9 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 9 12 17 15 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 19 12 17 15 2 9 6 7 1 2 9 12 3 5 12 17 17 9 10 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 19 12 17 15 2 9 6 7 1 2 9 12 3 5 12 17 17 9 7 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 19 12 17 15 2 9 6 7 1 2 9 12 3 5 12 17 17 9 6 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 19 12 17 15 2 9 6 7 1 2 9 12 3 5 12 17 17 9 12 , 19 10 2 17 17 17 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 19 12 17 15 2 9 6 7 1 2 9 12 3 5 12 17 17 9 13 , 0 1 16 0 4 5 10 2 3 1 0 8 3 5 12 15 16 0 1 -> 0 4 4 1 0 1 11 10 0 8 15 16 2 9 12 3 1 0 1 , 0 1 16 0 4 5 10 2 3 1 0 8 3 5 12 15 16 0 4 -> 0 4 4 1 0 1 11 10 0 8 15 16 2 9 12 3 1 0 4 , 0 1 16 0 4 5 10 2 3 1 0 8 3 5 12 15 16 0 5 -> 0 4 4 1 0 1 11 10 0 8 15 16 2 9 12 3 1 0 5 , 0 1 16 0 4 5 10 2 3 1 0 8 3 5 12 15 16 0 8 -> 0 4 4 1 0 1 11 10 0 8 15 16 2 9 12 3 1 0 8 , 0 1 16 0 4 5 10 2 3 1 0 8 3 5 12 15 16 0 20 -> 0 4 4 1 0 1 11 10 0 8 15 16 2 9 12 3 1 0 20 , 4 1 16 0 4 5 10 2 3 1 0 8 3 5 12 15 16 0 1 -> 4 4 4 1 0 1 11 10 0 8 15 16 2 9 12 3 1 0 1 , 4 1 16 0 4 5 10 2 3 1 0 8 3 5 12 15 16 0 4 -> 4 4 4 1 0 1 11 10 0 8 15 16 2 9 12 3 1 0 4 , 4 1 16 0 4 5 10 2 3 1 0 8 3 5 12 15 16 0 5 -> 4 4 4 1 0 1 11 10 0 8 15 16 2 9 12 3 1 0 5 , 4 1 16 0 4 5 10 2 3 1 0 8 3 5 12 15 16 0 8 -> 4 4 4 1 0 1 11 10 0 8 15 16 2 9 12 3 1 0 8 , 4 1 16 0 4 5 10 2 3 1 0 8 3 5 12 15 16 0 20 -> 4 4 4 1 0 1 11 10 0 8 15 16 2 9 12 3 1 0 20 , 7 1 16 0 4 5 10 2 3 1 0 8 3 5 12 15 16 0 1 -> 7 4 4 1 0 1 11 10 0 8 15 16 2 9 12 3 1 0 1 , 7 1 16 0 4 5 10 2 3 1 0 8 3 5 12 15 16 0 4 -> 7 4 4 1 0 1 11 10 0 8 15 16 2 9 12 3 1 0 4 , 7 1 16 0 4 5 10 2 3 1 0 8 3 5 12 15 16 0 5 -> 7 4 4 1 0 1 11 10 0 8 15 16 2 9 12 3 1 0 5 , 7 1 16 0 4 5 10 2 3 1 0 8 3 5 12 15 16 0 8 -> 7 4 4 1 0 1 11 10 0 8 15 16 2 9 12 3 1 0 8 , 7 1 16 0 4 5 10 2 3 1 0 8 3 5 12 15 16 0 20 -> 7 4 4 1 0 1 11 10 0 8 15 16 2 9 12 3 1 0 20 , 3 1 16 0 4 5 10 2 3 1 0 8 3 5 12 15 16 0 1 -> 3 4 4 1 0 1 11 10 0 8 15 16 2 9 12 3 1 0 1 , 3 1 16 0 4 5 10 2 3 1 0 8 3 5 12 15 16 0 4 -> 3 4 4 1 0 1 11 10 0 8 15 16 2 9 12 3 1 0 4 , 3 1 16 0 4 5 10 2 3 1 0 8 3 5 12 15 16 0 5 -> 3 4 4 1 0 1 11 10 0 8 15 16 2 9 12 3 1 0 5 , 3 1 16 0 4 5 10 2 3 1 0 8 3 5 12 15 16 0 8 -> 3 4 4 1 0 1 11 10 0 8 15 16 2 9 12 3 1 0 8 , 3 1 16 0 4 5 10 2 3 1 0 8 3 5 12 15 16 0 20 -> 3 4 4 1 0 1 11 10 0 8 15 16 2 9 12 3 1 0 20 , 14 1 16 0 4 5 10 2 3 1 0 8 3 5 12 15 16 0 1 -> 14 4 4 1 0 1 11 10 0 8 15 16 2 9 12 3 1 0 1 , 14 1 16 0 4 5 10 2 3 1 0 8 3 5 12 15 16 0 4 -> 14 4 4 1 0 1 11 10 0 8 15 16 2 9 12 3 1 0 4 , 14 1 16 0 4 5 10 2 3 1 0 8 3 5 12 15 16 0 5 -> 14 4 4 1 0 1 11 10 0 8 15 16 2 9 12 3 1 0 5 , 14 1 16 0 4 5 10 2 3 1 0 8 3 5 12 15 16 0 8 -> 14 4 4 1 0 1 11 10 0 8 15 16 2 9 12 3 1 0 8 , 14 1 16 0 4 5 10 2 3 1 0 8 3 5 12 15 16 0 20 -> 14 4 4 1 0 1 11 10 0 8 15 16 2 9 12 3 1 0 20 , 11 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 20 -> 11 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 20 , 5 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 1 -> 5 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 1 , 5 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 4 , 5 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 5 -> 5 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 5 , 5 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 8 -> 5 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 8 , 5 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 20 -> 5 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 20 , 6 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 20 -> 6 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 20 , 9 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 1 -> 9 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 1 , 9 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 4 , 9 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 5 -> 9 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 5 , 9 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 8 -> 9 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 8 , 9 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 20 -> 9 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 20 , 19 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 1 -> 19 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 1 , 19 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 4 -> 19 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 4 , 19 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 5 -> 19 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 5 , 19 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 8 -> 19 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 8 , 19 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 20 -> 19 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 20 , 2 9 7 4 5 12 15 16 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 15 16 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 20 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 20 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 20 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 20 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 20 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 0 5 7 5 7 5 6 7 1 2 15 16 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 16 11 6 6 7 8 15 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 15 16 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 16 11 6 6 7 8 15 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 15 16 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 16 11 6 6 7 8 15 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 15 16 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 16 11 6 6 7 8 15 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 15 16 0 5 10 11 7 4 20 -> 0 5 7 4 5 10 0 1 16 11 6 6 7 8 15 11 7 4 20 , 4 5 7 5 7 5 6 7 1 2 15 16 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 16 11 6 6 7 8 15 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 15 16 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 16 11 6 6 7 8 15 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 15 16 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 16 11 6 6 7 8 15 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 15 16 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 16 11 6 6 7 8 15 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 15 16 0 5 10 11 7 4 20 -> 4 5 7 4 5 10 0 1 16 11 6 6 7 8 15 11 7 4 20 , 7 5 7 5 7 5 6 7 1 2 15 16 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 16 11 6 6 7 8 15 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 15 16 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 16 11 6 6 7 8 15 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 15 16 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 16 11 6 6 7 8 15 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 15 16 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 16 11 6 6 7 8 15 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 15 16 0 5 10 11 7 4 20 -> 7 5 7 4 5 10 0 1 16 11 6 6 7 8 15 11 7 4 20 , 3 5 7 5 7 5 6 7 1 2 15 16 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 16 11 6 6 7 8 15 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 15 16 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 16 11 6 6 7 8 15 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 15 16 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 16 11 6 6 7 8 15 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 15 16 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 16 11 6 6 7 8 15 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 15 16 0 5 10 11 7 4 20 -> 3 5 7 4 5 10 0 1 16 11 6 6 7 8 15 11 7 4 20 , 14 5 7 5 7 5 6 7 1 2 15 16 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 16 11 6 6 7 8 15 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 15 16 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 16 11 6 6 7 8 15 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 15 16 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 16 11 6 6 7 8 15 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 15 16 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 16 11 6 6 7 8 15 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 15 16 0 5 10 11 7 4 20 -> 14 5 7 4 5 10 0 1 16 11 6 6 7 8 15 11 7 4 20 , 11 6 7 4 5 10 16 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 16 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 16 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 16 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 16 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 16 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 16 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 16 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 19 6 7 4 5 10 16 0 4 5 6 10 11 6 7 4 4 4 4 -> 19 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 19 6 7 4 5 10 16 0 4 5 6 10 11 6 7 4 4 4 5 -> 19 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 15 11 12 15 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 17 15 2 17 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 15 11 12 15 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 17 15 2 17 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 15 11 12 15 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 17 15 2 17 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 15 11 12 15 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 17 15 2 17 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 15 11 12 15 2 3 4 4 8 3 20 -> 2 3 1 0 4 4 8 17 15 2 17 3 5 10 11 6 7 4 20 , 8 3 1 0 5 6 7 8 15 11 12 15 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 17 15 2 17 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 15 11 12 15 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 17 15 2 17 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 15 11 12 15 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 17 15 2 17 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 15 11 12 15 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 17 15 2 17 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 15 11 12 15 2 3 4 4 8 3 20 -> 8 3 1 0 4 4 8 17 15 2 17 3 5 10 11 6 7 4 20 , 12 3 1 0 5 6 7 8 15 11 12 15 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 17 15 2 17 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 15 11 12 15 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 17 15 2 17 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 15 11 12 15 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 17 15 2 17 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 15 11 12 15 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 17 15 2 17 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 15 11 12 15 2 3 4 4 8 3 20 -> 12 3 1 0 4 4 8 17 15 2 17 3 5 10 11 6 7 4 20 , 17 3 1 0 5 6 7 8 15 11 12 15 2 3 4 4 8 3 1 -> 17 3 1 0 4 4 8 17 15 2 17 3 5 10 11 6 7 4 1 , 17 3 1 0 5 6 7 8 15 11 12 15 2 3 4 4 8 3 4 -> 17 3 1 0 4 4 8 17 15 2 17 3 5 10 11 6 7 4 4 , 17 3 1 0 5 6 7 8 15 11 12 15 2 3 4 4 8 3 5 -> 17 3 1 0 4 4 8 17 15 2 17 3 5 10 11 6 7 4 5 , 17 3 1 0 5 6 7 8 15 11 12 15 2 3 4 4 8 3 8 -> 17 3 1 0 4 4 8 17 15 2 17 3 5 10 11 6 7 4 8 , 17 3 1 0 5 6 7 8 15 11 12 15 2 3 4 4 8 3 20 -> 17 3 1 0 4 4 8 17 15 2 17 3 5 10 11 6 7 4 20 , 21 3 1 0 5 6 7 8 15 11 12 15 2 3 4 4 8 3 1 -> 21 3 1 0 4 4 8 17 15 2 17 3 5 10 11 6 7 4 1 , 21 3 1 0 5 6 7 8 15 11 12 15 2 3 4 4 8 3 4 -> 21 3 1 0 4 4 8 17 15 2 17 3 5 10 11 6 7 4 4 , 21 3 1 0 5 6 7 8 15 11 12 15 2 3 4 4 8 3 5 -> 21 3 1 0 4 4 8 17 15 2 17 3 5 10 11 6 7 4 5 , 21 3 1 0 5 6 7 8 15 11 12 15 2 3 4 4 8 3 8 -> 21 3 1 0 4 4 8 17 15 2 17 3 5 10 11 6 7 4 8 , 21 3 1 0 5 6 7 8 15 11 12 15 2 3 4 4 8 3 20 -> 21 3 1 0 4 4 8 17 15 2 17 3 5 10 11 6 7 4 20 , 12 15 16 16 0 8 17 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 17 3 5 12 3 1 16 11 7 1 2 9 7 8 9 12 15 , 12 15 16 16 0 8 17 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 17 3 5 12 3 1 16 11 7 1 2 9 7 8 9 12 3 , 12 15 16 16 0 8 17 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 17 3 5 12 3 1 16 11 7 1 2 9 7 8 9 12 9 , 12 15 16 16 0 8 17 9 6 6 12 3 1 0 8 3 5 12 17 -> 10 2 17 3 5 12 3 1 16 11 7 1 2 9 7 8 9 12 17 , 12 15 16 16 0 8 17 9 6 6 12 3 1 0 8 3 5 12 22 -> 10 2 17 3 5 12 3 1 16 11 7 1 2 9 7 8 9 12 22 , 17 15 16 16 0 8 17 9 6 6 12 3 1 0 8 3 5 12 15 -> 15 2 17 3 5 12 3 1 16 11 7 1 2 9 7 8 9 12 15 , 17 15 16 16 0 8 17 9 6 6 12 3 1 0 8 3 5 12 3 -> 15 2 17 3 5 12 3 1 16 11 7 1 2 9 7 8 9 12 3 , 17 15 16 16 0 8 17 9 6 6 12 3 1 0 8 3 5 12 9 -> 15 2 17 3 5 12 3 1 16 11 7 1 2 9 7 8 9 12 9 , 17 15 16 16 0 8 17 9 6 6 12 3 1 0 8 3 5 12 17 -> 15 2 17 3 5 12 3 1 16 11 7 1 2 9 7 8 9 12 17 , 17 15 16 16 0 8 17 9 6 6 12 3 1 0 8 3 5 12 22 -> 15 2 17 3 5 12 3 1 16 11 7 1 2 9 7 8 9 12 22 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 22 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 18->15, 16->16, 15->17, 17->18, 19->19, 20->20, 21->21, 22->22 }, it remains to prove termination of the 192-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 15 16 16 16 11 12 17 11 7 4 8 17 11 7 8 18 3 5 6 -> 15 0 1 2 18 3 5 7 1 11 10 2 9 7 5 10 2 17 11 , 11 10 2 18 18 18 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 18 17 2 9 6 7 1 2 9 12 3 5 12 18 18 9 10 , 11 10 2 18 18 18 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 18 17 2 9 6 7 1 2 9 12 3 5 12 18 18 9 7 , 11 10 2 18 18 18 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 18 17 2 9 6 7 1 2 9 12 3 5 12 18 18 9 6 , 11 10 2 18 18 18 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 18 17 2 9 6 7 1 2 9 12 3 5 12 18 18 9 12 , 11 10 2 18 18 18 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 18 17 2 9 6 7 1 2 9 12 3 5 12 18 18 9 13 , 5 10 2 18 18 18 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 18 17 2 9 6 7 1 2 9 12 3 5 12 18 18 9 10 , 5 10 2 18 18 18 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 5 12 18 17 2 9 6 7 1 2 9 12 3 5 12 18 18 9 7 , 5 10 2 18 18 18 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 5 12 18 17 2 9 6 7 1 2 9 12 3 5 12 18 18 9 6 , 5 10 2 18 18 18 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 18 17 2 9 6 7 1 2 9 12 3 5 12 18 18 9 12 , 5 10 2 18 18 18 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 5 12 18 17 2 9 6 7 1 2 9 12 3 5 12 18 18 9 13 , 6 10 2 18 18 18 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 18 17 2 9 6 7 1 2 9 12 3 5 12 18 18 9 10 , 6 10 2 18 18 18 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 6 12 18 17 2 9 6 7 1 2 9 12 3 5 12 18 18 9 7 , 6 10 2 18 18 18 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 6 12 18 17 2 9 6 7 1 2 9 12 3 5 12 18 18 9 6 , 6 10 2 18 18 18 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 18 17 2 9 6 7 1 2 9 12 3 5 12 18 18 9 12 , 6 10 2 18 18 18 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 6 12 18 17 2 9 6 7 1 2 9 12 3 5 12 18 18 9 13 , 9 10 2 18 18 18 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 18 17 2 9 6 7 1 2 9 12 3 5 12 18 18 9 10 , 9 10 2 18 18 18 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 9 12 18 17 2 9 6 7 1 2 9 12 3 5 12 18 18 9 7 , 9 10 2 18 18 18 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 9 12 18 17 2 9 6 7 1 2 9 12 3 5 12 18 18 9 6 , 9 10 2 18 18 18 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 18 17 2 9 6 7 1 2 9 12 3 5 12 18 18 9 12 , 9 10 2 18 18 18 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 9 12 18 17 2 9 6 7 1 2 9 12 3 5 12 18 18 9 13 , 19 10 2 18 18 18 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 19 12 18 17 2 9 6 7 1 2 9 12 3 5 12 18 18 9 10 , 19 10 2 18 18 18 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 19 12 18 17 2 9 6 7 1 2 9 12 3 5 12 18 18 9 7 , 19 10 2 18 18 18 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 19 12 18 17 2 9 6 7 1 2 9 12 3 5 12 18 18 9 6 , 19 10 2 18 18 18 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 19 12 18 17 2 9 6 7 1 2 9 12 3 5 12 18 18 9 12 , 19 10 2 18 18 18 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 19 12 18 17 2 9 6 7 1 2 9 12 3 5 12 18 18 9 13 , 0 1 16 0 4 5 10 2 3 1 0 8 3 5 12 17 16 0 1 -> 0 4 4 1 0 1 11 10 0 8 17 16 2 9 12 3 1 0 1 , 0 1 16 0 4 5 10 2 3 1 0 8 3 5 12 17 16 0 4 -> 0 4 4 1 0 1 11 10 0 8 17 16 2 9 12 3 1 0 4 , 0 1 16 0 4 5 10 2 3 1 0 8 3 5 12 17 16 0 5 -> 0 4 4 1 0 1 11 10 0 8 17 16 2 9 12 3 1 0 5 , 0 1 16 0 4 5 10 2 3 1 0 8 3 5 12 17 16 0 8 -> 0 4 4 1 0 1 11 10 0 8 17 16 2 9 12 3 1 0 8 , 0 1 16 0 4 5 10 2 3 1 0 8 3 5 12 17 16 0 20 -> 0 4 4 1 0 1 11 10 0 8 17 16 2 9 12 3 1 0 20 , 4 1 16 0 4 5 10 2 3 1 0 8 3 5 12 17 16 0 1 -> 4 4 4 1 0 1 11 10 0 8 17 16 2 9 12 3 1 0 1 , 4 1 16 0 4 5 10 2 3 1 0 8 3 5 12 17 16 0 4 -> 4 4 4 1 0 1 11 10 0 8 17 16 2 9 12 3 1 0 4 , 4 1 16 0 4 5 10 2 3 1 0 8 3 5 12 17 16 0 5 -> 4 4 4 1 0 1 11 10 0 8 17 16 2 9 12 3 1 0 5 , 4 1 16 0 4 5 10 2 3 1 0 8 3 5 12 17 16 0 8 -> 4 4 4 1 0 1 11 10 0 8 17 16 2 9 12 3 1 0 8 , 4 1 16 0 4 5 10 2 3 1 0 8 3 5 12 17 16 0 20 -> 4 4 4 1 0 1 11 10 0 8 17 16 2 9 12 3 1 0 20 , 7 1 16 0 4 5 10 2 3 1 0 8 3 5 12 17 16 0 1 -> 7 4 4 1 0 1 11 10 0 8 17 16 2 9 12 3 1 0 1 , 7 1 16 0 4 5 10 2 3 1 0 8 3 5 12 17 16 0 4 -> 7 4 4 1 0 1 11 10 0 8 17 16 2 9 12 3 1 0 4 , 7 1 16 0 4 5 10 2 3 1 0 8 3 5 12 17 16 0 5 -> 7 4 4 1 0 1 11 10 0 8 17 16 2 9 12 3 1 0 5 , 7 1 16 0 4 5 10 2 3 1 0 8 3 5 12 17 16 0 8 -> 7 4 4 1 0 1 11 10 0 8 17 16 2 9 12 3 1 0 8 , 7 1 16 0 4 5 10 2 3 1 0 8 3 5 12 17 16 0 20 -> 7 4 4 1 0 1 11 10 0 8 17 16 2 9 12 3 1 0 20 , 3 1 16 0 4 5 10 2 3 1 0 8 3 5 12 17 16 0 1 -> 3 4 4 1 0 1 11 10 0 8 17 16 2 9 12 3 1 0 1 , 3 1 16 0 4 5 10 2 3 1 0 8 3 5 12 17 16 0 4 -> 3 4 4 1 0 1 11 10 0 8 17 16 2 9 12 3 1 0 4 , 3 1 16 0 4 5 10 2 3 1 0 8 3 5 12 17 16 0 5 -> 3 4 4 1 0 1 11 10 0 8 17 16 2 9 12 3 1 0 5 , 3 1 16 0 4 5 10 2 3 1 0 8 3 5 12 17 16 0 8 -> 3 4 4 1 0 1 11 10 0 8 17 16 2 9 12 3 1 0 8 , 3 1 16 0 4 5 10 2 3 1 0 8 3 5 12 17 16 0 20 -> 3 4 4 1 0 1 11 10 0 8 17 16 2 9 12 3 1 0 20 , 14 1 16 0 4 5 10 2 3 1 0 8 3 5 12 17 16 0 1 -> 14 4 4 1 0 1 11 10 0 8 17 16 2 9 12 3 1 0 1 , 14 1 16 0 4 5 10 2 3 1 0 8 3 5 12 17 16 0 4 -> 14 4 4 1 0 1 11 10 0 8 17 16 2 9 12 3 1 0 4 , 14 1 16 0 4 5 10 2 3 1 0 8 3 5 12 17 16 0 5 -> 14 4 4 1 0 1 11 10 0 8 17 16 2 9 12 3 1 0 5 , 14 1 16 0 4 5 10 2 3 1 0 8 3 5 12 17 16 0 8 -> 14 4 4 1 0 1 11 10 0 8 17 16 2 9 12 3 1 0 8 , 14 1 16 0 4 5 10 2 3 1 0 8 3 5 12 17 16 0 20 -> 14 4 4 1 0 1 11 10 0 8 17 16 2 9 12 3 1 0 20 , 11 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 20 -> 11 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 20 , 5 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 1 -> 5 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 1 , 5 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 4 , 5 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 5 -> 5 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 5 , 5 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 8 -> 5 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 8 , 5 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 20 -> 5 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 20 , 6 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 20 -> 6 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 20 , 9 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 1 -> 9 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 1 , 9 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 4 , 9 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 5 -> 9 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 5 , 9 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 8 -> 9 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 8 , 9 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 20 -> 9 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 20 , 19 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 1 -> 19 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 1 , 19 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 4 -> 19 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 4 , 19 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 5 -> 19 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 5 , 19 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 8 -> 19 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 8 , 19 7 4 4 4 1 16 0 1 11 7 4 4 1 11 6 6 7 20 -> 19 7 4 4 5 7 1 16 16 11 10 0 5 6 7 4 4 4 20 , 2 9 7 4 5 12 17 16 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 17 16 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 20 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 20 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 20 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 20 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 16 0 4 20 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 20 , 0 5 7 5 7 5 6 7 1 2 17 16 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 16 11 6 6 7 8 17 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 17 16 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 16 11 6 6 7 8 17 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 17 16 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 16 11 6 6 7 8 17 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 17 16 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 16 11 6 6 7 8 17 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 17 16 0 5 10 11 7 4 20 -> 0 5 7 4 5 10 0 1 16 11 6 6 7 8 17 11 7 4 20 , 4 5 7 5 7 5 6 7 1 2 17 16 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 16 11 6 6 7 8 17 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 17 16 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 16 11 6 6 7 8 17 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 17 16 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 16 11 6 6 7 8 17 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 17 16 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 16 11 6 6 7 8 17 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 17 16 0 5 10 11 7 4 20 -> 4 5 7 4 5 10 0 1 16 11 6 6 7 8 17 11 7 4 20 , 7 5 7 5 7 5 6 7 1 2 17 16 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 16 11 6 6 7 8 17 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 17 16 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 16 11 6 6 7 8 17 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 17 16 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 16 11 6 6 7 8 17 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 17 16 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 16 11 6 6 7 8 17 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 17 16 0 5 10 11 7 4 20 -> 7 5 7 4 5 10 0 1 16 11 6 6 7 8 17 11 7 4 20 , 3 5 7 5 7 5 6 7 1 2 17 16 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 16 11 6 6 7 8 17 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 17 16 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 16 11 6 6 7 8 17 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 17 16 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 16 11 6 6 7 8 17 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 17 16 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 16 11 6 6 7 8 17 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 17 16 0 5 10 11 7 4 20 -> 3 5 7 4 5 10 0 1 16 11 6 6 7 8 17 11 7 4 20 , 14 5 7 5 7 5 6 7 1 2 17 16 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 16 11 6 6 7 8 17 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 17 16 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 16 11 6 6 7 8 17 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 17 16 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 16 11 6 6 7 8 17 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 17 16 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 16 11 6 6 7 8 17 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 17 16 0 5 10 11 7 4 20 -> 14 5 7 4 5 10 0 1 16 11 6 6 7 8 17 11 7 4 20 , 11 6 7 4 5 10 16 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 16 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 16 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 16 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 16 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 16 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 16 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 16 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 19 6 7 4 5 10 16 0 4 5 6 10 11 6 7 4 4 4 4 -> 19 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 19 6 7 4 5 10 16 0 4 5 6 10 11 6 7 4 4 4 5 -> 19 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 17 11 12 17 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 18 17 2 18 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 17 11 12 17 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 18 17 2 18 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 17 11 12 17 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 18 17 2 18 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 17 11 12 17 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 18 17 2 18 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 17 11 12 17 2 3 4 4 8 3 20 -> 2 3 1 0 4 4 8 18 17 2 18 3 5 10 11 6 7 4 20 , 8 3 1 0 5 6 7 8 17 11 12 17 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 18 17 2 18 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 17 11 12 17 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 18 17 2 18 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 17 11 12 17 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 18 17 2 18 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 17 11 12 17 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 18 17 2 18 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 17 11 12 17 2 3 4 4 8 3 20 -> 8 3 1 0 4 4 8 18 17 2 18 3 5 10 11 6 7 4 20 , 12 3 1 0 5 6 7 8 17 11 12 17 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 18 17 2 18 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 17 11 12 17 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 18 17 2 18 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 17 11 12 17 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 18 17 2 18 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 17 11 12 17 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 18 17 2 18 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 17 11 12 17 2 3 4 4 8 3 20 -> 12 3 1 0 4 4 8 18 17 2 18 3 5 10 11 6 7 4 20 , 18 3 1 0 5 6 7 8 17 11 12 17 2 3 4 4 8 3 1 -> 18 3 1 0 4 4 8 18 17 2 18 3 5 10 11 6 7 4 1 , 18 3 1 0 5 6 7 8 17 11 12 17 2 3 4 4 8 3 4 -> 18 3 1 0 4 4 8 18 17 2 18 3 5 10 11 6 7 4 4 , 18 3 1 0 5 6 7 8 17 11 12 17 2 3 4 4 8 3 5 -> 18 3 1 0 4 4 8 18 17 2 18 3 5 10 11 6 7 4 5 , 18 3 1 0 5 6 7 8 17 11 12 17 2 3 4 4 8 3 8 -> 18 3 1 0 4 4 8 18 17 2 18 3 5 10 11 6 7 4 8 , 18 3 1 0 5 6 7 8 17 11 12 17 2 3 4 4 8 3 20 -> 18 3 1 0 4 4 8 18 17 2 18 3 5 10 11 6 7 4 20 , 21 3 1 0 5 6 7 8 17 11 12 17 2 3 4 4 8 3 1 -> 21 3 1 0 4 4 8 18 17 2 18 3 5 10 11 6 7 4 1 , 21 3 1 0 5 6 7 8 17 11 12 17 2 3 4 4 8 3 4 -> 21 3 1 0 4 4 8 18 17 2 18 3 5 10 11 6 7 4 4 , 21 3 1 0 5 6 7 8 17 11 12 17 2 3 4 4 8 3 5 -> 21 3 1 0 4 4 8 18 17 2 18 3 5 10 11 6 7 4 5 , 21 3 1 0 5 6 7 8 17 11 12 17 2 3 4 4 8 3 8 -> 21 3 1 0 4 4 8 18 17 2 18 3 5 10 11 6 7 4 8 , 21 3 1 0 5 6 7 8 17 11 12 17 2 3 4 4 8 3 20 -> 21 3 1 0 4 4 8 18 17 2 18 3 5 10 11 6 7 4 20 , 12 17 16 16 0 8 18 9 6 6 12 3 1 0 8 3 5 12 17 -> 10 2 18 3 5 12 3 1 16 11 7 1 2 9 7 8 9 12 17 , 12 17 16 16 0 8 18 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 18 3 5 12 3 1 16 11 7 1 2 9 7 8 9 12 3 , 12 17 16 16 0 8 18 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 18 3 5 12 3 1 16 11 7 1 2 9 7 8 9 12 9 , 12 17 16 16 0 8 18 9 6 6 12 3 1 0 8 3 5 12 18 -> 10 2 18 3 5 12 3 1 16 11 7 1 2 9 7 8 9 12 18 , 12 17 16 16 0 8 18 9 6 6 12 3 1 0 8 3 5 12 22 -> 10 2 18 3 5 12 3 1 16 11 7 1 2 9 7 8 9 12 22 , 18 17 16 16 0 8 18 9 6 6 12 3 1 0 8 3 5 12 17 -> 17 2 18 3 5 12 3 1 16 11 7 1 2 9 7 8 9 12 17 , 18 17 16 16 0 8 18 9 6 6 12 3 1 0 8 3 5 12 3 -> 17 2 18 3 5 12 3 1 16 11 7 1 2 9 7 8 9 12 3 , 18 17 16 16 0 8 18 9 6 6 12 3 1 0 8 3 5 12 9 -> 17 2 18 3 5 12 3 1 16 11 7 1 2 9 7 8 9 12 9 , 18 17 16 16 0 8 18 9 6 6 12 3 1 0 8 3 5 12 18 -> 17 2 18 3 5 12 3 1 16 11 7 1 2 9 7 8 9 12 18 , 18 17 16 16 0 8 18 9 6 6 12 3 1 0 8 3 5 12 22 -> 17 2 18 3 5 12 3 1 16 11 7 1 2 9 7 8 9 12 22 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 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| | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 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0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 22 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 18->15, 17->16, 19->17, 16->18, 20->19, 21->20, 22->21 }, it remains to prove termination of the 191-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 190-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 189-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 188-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 187-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 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0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 186-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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| | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 185-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 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interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 184-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / 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0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 183-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 182-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 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0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 181-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 180-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 179-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 178-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 177-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 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0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 176-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 175-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 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0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 174-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 173-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 172-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 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0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 171-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 170-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 169-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 168-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 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/ 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 167-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 166-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 165-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 164-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 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0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 163-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 162-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 161-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 160-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 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0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 159-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 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0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 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0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 158-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 5 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 11 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 157-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 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0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 156-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 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0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 155-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 154-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 153-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 152-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 151-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 150-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 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0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 149-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 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0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 148-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 147-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 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| | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 146-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 145-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 144-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 143-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 142-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 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| | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 141-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 140-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 139-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 138-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 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0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 137-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 136-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 135-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 134-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 133-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 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0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 132-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 131-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 130-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 129-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 128-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 127-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 126-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 125-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 124-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 123-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 122-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 121-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 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| | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 120-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is 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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 119-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 118-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 117-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 116-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 115-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 114-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 3 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 3 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 113-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 9 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 9 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20, 21->21 }, it remains to prove termination of the 112-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 21 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 21 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 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0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 21 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20 }, it remains to prove termination of the 111-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 7 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 7 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20 }, it remains to prove termination of the 110-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 6 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20 }, it remains to prove termination of the 109-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 13 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 13 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted 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0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20 }, it remains to prove termination of the 108-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 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0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20 }, it remains to prove termination of the 107-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20 }, it remains to prove termination of the 106-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 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0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20 }, it remains to prove termination of the 105-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 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0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20 }, it remains to prove termination of the 104-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 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0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20 }, it remains to prove termination of the 103-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 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0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20 }, it remains to prove termination of the 102-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 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0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20 }, it remains to prove termination of the 101-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 5 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 5 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20 }, it remains to prove termination of the 100-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 9 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 9 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20 }, it remains to prove termination of the 99-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 17 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 17 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20 }, it remains to prove termination of the 98-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 2 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 2 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20 }, it remains to prove termination of the 97-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 8 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 8 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20 }, it remains to prove termination of the 96-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 15 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 15 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19, 20->20 }, it remains to prove termination of the 95-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 20 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 20 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 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0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 20 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19 }, it remains to prove termination of the 94-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 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0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19 }, it remains to prove termination of the 93-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19 }, it remains to prove termination of the 92-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 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0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19 }, it remains to prove termination of the 90-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19 }, it remains to prove termination of the 88-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19 }, it remains to prove termination of the 86-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 5 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 5 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19 }, it remains to prove termination of the 84-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19 }, it remains to prove termination of the 83-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 15 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 15 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19 }, it remains to prove termination of the 82-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 6 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 6 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19 }, it remains to prove termination of the 80-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 9 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 9 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19 }, it remains to prove termination of the 78-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 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0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19 }, it remains to prove termination of the 77-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 12 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 12 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 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0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19 }, it remains to prove termination of the 76-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 17 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 17 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 0 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 0 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 1 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 5 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 8 , 4 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 19 -> 4 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 19 , 7 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 3 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 14 1 18 0 4 5 10 2 3 1 0 8 3 5 12 16 18 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 18 2 9 12 3 1 0 4 , 11 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 18 0 1 11 7 4 4 1 11 6 6 7 19 -> 6 7 4 4 5 7 1 18 18 11 10 0 5 6 7 4 4 4 19 , 2 9 7 4 5 12 16 18 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 19 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 19 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 18 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 0 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 19 -> 4 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 19 , 7 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 18 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 18 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 17 6 7 4 5 10 18 0 4 5 6 10 11 6 7 4 4 4 4 -> 17 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 19 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 19 , 12 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 , 15 16 18 18 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 18 11 7 1 2 9 7 8 9 12 16 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 18->17, 19->18, 17->19 }, it remains to prove termination of the 75-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 0 1 17 0 4 5 10 2 3 1 0 8 3 5 12 16 17 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 17 2 9 12 3 1 0 1 , 0 1 17 0 4 5 10 2 3 1 0 8 3 5 12 16 17 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 17 2 9 12 3 1 0 4 , 0 1 17 0 4 5 10 2 3 1 0 8 3 5 12 16 17 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 17 2 9 12 3 1 0 5 , 0 1 17 0 4 5 10 2 3 1 0 8 3 5 12 16 17 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 17 2 9 12 3 1 0 8 , 0 1 17 0 4 5 10 2 3 1 0 8 3 5 12 16 17 0 18 -> 0 4 4 1 0 1 11 10 0 8 16 17 2 9 12 3 1 0 18 , 4 1 17 0 4 5 10 2 3 1 0 8 3 5 12 16 17 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 17 2 9 12 3 1 0 1 , 4 1 17 0 4 5 10 2 3 1 0 8 3 5 12 16 17 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 17 2 9 12 3 1 0 4 , 4 1 17 0 4 5 10 2 3 1 0 8 3 5 12 16 17 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 17 2 9 12 3 1 0 5 , 4 1 17 0 4 5 10 2 3 1 0 8 3 5 12 16 17 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 17 2 9 12 3 1 0 8 , 4 1 17 0 4 5 10 2 3 1 0 8 3 5 12 16 17 0 18 -> 4 4 4 1 0 1 11 10 0 8 16 17 2 9 12 3 1 0 18 , 7 1 17 0 4 5 10 2 3 1 0 8 3 5 12 16 17 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 17 2 9 12 3 1 0 4 , 3 1 17 0 4 5 10 2 3 1 0 8 3 5 12 16 17 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 17 2 9 12 3 1 0 4 , 14 1 17 0 4 5 10 2 3 1 0 8 3 5 12 16 17 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 17 2 9 12 3 1 0 4 , 11 7 4 4 4 1 17 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 17 17 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 17 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 17 17 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 17 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 17 17 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 17 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 17 17 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 17 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 17 17 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 17 0 1 11 7 4 4 1 11 6 6 7 18 -> 6 7 4 4 5 7 1 17 17 11 10 0 5 6 7 4 4 4 18 , 2 9 7 4 5 12 16 17 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 17 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 17 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 17 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 17 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 17 0 4 18 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 18 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 17 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 17 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 17 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 17 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 17 0 4 18 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 18 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 17 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 17 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 17 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 17 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 17 0 4 18 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 18 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 17 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 17 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 17 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 17 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 17 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 17 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 17 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 17 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 17 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 17 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 17 0 5 10 11 7 4 18 -> 0 5 7 4 5 10 0 1 17 11 6 6 7 8 16 11 7 4 18 , 4 5 7 5 7 5 6 7 1 2 16 17 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 17 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 17 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 17 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 17 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 17 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 17 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 17 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 17 0 5 10 11 7 4 18 -> 4 5 7 4 5 10 0 1 17 11 6 6 7 8 16 11 7 4 18 , 7 5 7 5 7 5 6 7 1 2 16 17 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 17 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 17 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 17 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 17 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 17 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 17 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 17 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 17 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 17 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 17 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 19 6 7 4 5 10 17 0 4 5 6 10 11 6 7 4 4 4 4 -> 19 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 18 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 18 , 12 16 17 17 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 10 2 15 3 5 12 3 1 17 11 7 1 2 9 7 8 9 12 16 , 15 16 17 17 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 17 11 7 1 2 9 7 8 9 12 16 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19 }, it remains to prove termination of the 74-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 11 10 2 15 15 15 3 8 9 6 12 9 10 0 8 9 12 9 10 -> 11 12 15 16 2 9 6 7 1 2 9 12 3 5 12 15 15 9 10 , 0 1 17 0 4 5 10 2 3 1 0 8 3 5 12 16 17 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 17 2 9 12 3 1 0 1 , 0 1 17 0 4 5 10 2 3 1 0 8 3 5 12 16 17 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 17 2 9 12 3 1 0 4 , 0 1 17 0 4 5 10 2 3 1 0 8 3 5 12 16 17 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 17 2 9 12 3 1 0 5 , 0 1 17 0 4 5 10 2 3 1 0 8 3 5 12 16 17 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 17 2 9 12 3 1 0 8 , 0 1 17 0 4 5 10 2 3 1 0 8 3 5 12 16 17 0 18 -> 0 4 4 1 0 1 11 10 0 8 16 17 2 9 12 3 1 0 18 , 4 1 17 0 4 5 10 2 3 1 0 8 3 5 12 16 17 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 17 2 9 12 3 1 0 1 , 4 1 17 0 4 5 10 2 3 1 0 8 3 5 12 16 17 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 17 2 9 12 3 1 0 4 , 4 1 17 0 4 5 10 2 3 1 0 8 3 5 12 16 17 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 17 2 9 12 3 1 0 5 , 4 1 17 0 4 5 10 2 3 1 0 8 3 5 12 16 17 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 17 2 9 12 3 1 0 8 , 4 1 17 0 4 5 10 2 3 1 0 8 3 5 12 16 17 0 18 -> 4 4 4 1 0 1 11 10 0 8 16 17 2 9 12 3 1 0 18 , 7 1 17 0 4 5 10 2 3 1 0 8 3 5 12 16 17 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 17 2 9 12 3 1 0 4 , 3 1 17 0 4 5 10 2 3 1 0 8 3 5 12 16 17 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 17 2 9 12 3 1 0 4 , 14 1 17 0 4 5 10 2 3 1 0 8 3 5 12 16 17 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 17 2 9 12 3 1 0 4 , 11 7 4 4 4 1 17 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 17 17 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 17 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 17 17 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 17 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 17 17 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 17 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 17 17 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 17 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 17 17 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 17 0 1 11 7 4 4 1 11 6 6 7 18 -> 6 7 4 4 5 7 1 17 17 11 10 0 5 6 7 4 4 4 18 , 2 9 7 4 5 12 16 17 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 17 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 17 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 17 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 17 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 17 0 4 18 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 18 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 17 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 17 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 17 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 17 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 17 0 4 18 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 18 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 17 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 17 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 17 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 17 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 17 0 4 18 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 18 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 17 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 17 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 17 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 17 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 17 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 17 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 17 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 17 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 17 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 17 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 17 0 5 10 11 7 4 18 -> 0 5 7 4 5 10 0 1 17 11 6 6 7 8 16 11 7 4 18 , 4 5 7 5 7 5 6 7 1 2 16 17 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 17 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 17 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 17 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 17 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 17 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 17 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 17 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 17 0 5 10 11 7 4 18 -> 4 5 7 4 5 10 0 1 17 11 6 6 7 8 16 11 7 4 18 , 7 5 7 5 7 5 6 7 1 2 16 17 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 17 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 17 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 17 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 17 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 17 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 17 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 17 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 17 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 17 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 17 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 19 6 7 4 5 10 17 0 4 5 6 10 11 6 7 4 4 4 4 -> 19 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 18 -> 12 3 1 0 4 4 8 15 16 2 15 3 5 10 11 6 7 4 18 , 15 16 17 17 0 8 15 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 15 3 5 12 3 1 17 11 7 1 2 9 7 8 9 12 16 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 16 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 17 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 18 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 19 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 17->15, 16->16, 18->17, 19->18, 15->19 }, it remains to prove termination of the 73-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 17 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 17 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 17 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 17 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 17 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 17 , 2 9 7 4 5 12 16 15 2 3 5 7 1 0 4 4 5 7 4 -> 0 5 7 1 2 9 7 4 8 9 7 4 8 9 7 1 0 1 0 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 17 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 17 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 17 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 17 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 17 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 17 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 17 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 17 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 17 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 17 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 18 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 18 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 1 -> 12 3 1 0 4 4 8 19 16 2 19 3 5 10 11 6 7 4 1 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 4 -> 12 3 1 0 4 4 8 19 16 2 19 3 5 10 11 6 7 4 4 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 5 -> 12 3 1 0 4 4 8 19 16 2 19 3 5 10 11 6 7 4 5 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 8 -> 12 3 1 0 4 4 8 19 16 2 19 3 5 10 11 6 7 4 8 , 12 3 1 0 5 6 7 8 16 11 12 16 2 3 4 4 8 3 17 -> 12 3 1 0 4 4 8 19 16 2 19 3 5 10 11 6 7 4 17 , 19 16 15 15 0 8 19 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 19 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 16 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2: 0 is interpreted by / \ | 1 0 | | 0 1 | \ / 1 is interpreted by / \ | 1 0 | | 0 1 | \ / 2 is interpreted by / \ | 1 0 | | 0 1 | \ / 3 is interpreted by / \ | 1 0 | | 0 1 | \ / 4 is interpreted by / \ | 1 0 | | 0 1 | \ / 5 is interpreted by / \ | 1 0 | | 0 1 | \ / 6 is interpreted by / \ | 1 0 | | 0 1 | \ / 7 is interpreted by / \ | 1 0 | | 0 1 | \ / 8 is interpreted by / \ | 1 0 | | 0 1 | \ / 9 is interpreted by / \ | 1 0 | | 0 1 | \ / 10 is interpreted by / \ | 1 0 | | 0 1 | \ / 11 is interpreted by / \ | 1 0 | | 0 1 | \ / 12 is interpreted by / \ | 1 1 | | 0 1 | \ / 13 is interpreted by / \ | 1 1 | | 0 1 | \ / 14 is interpreted by / \ | 1 1 | | 0 1 | \ / 15 is interpreted by / \ | 1 0 | | 0 1 | \ / 16 is interpreted by / \ | 1 1 | | 0 1 | \ / 17 is interpreted by / \ | 1 1 | | 0 1 | \ / 18 is interpreted by / \ | 1 1 | | 0 1 | \ / 19 is interpreted by / \ | 1 0 | | 0 1 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18, 19->19 }, it remains to prove termination of the 67-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 17 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 17 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 17 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 17 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 17 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 17 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 17 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 17 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 17 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 17 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 17 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 17 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 17 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 17 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 17 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 17 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 18 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 18 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 19 16 15 15 0 8 19 9 6 6 12 3 1 0 8 3 5 12 16 -> 16 2 19 3 5 12 3 1 15 11 7 1 2 9 7 8 9 12 16 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2: 0 is interpreted by / \ | 1 0 | | 0 1 | \ / 1 is interpreted by / \ | 1 0 | | 0 1 | \ / 2 is interpreted by / \ | 1 0 | | 0 1 | \ / 3 is interpreted by / \ | 1 0 | | 0 1 | \ / 4 is interpreted by / \ | 1 0 | | 0 1 | \ / 5 is interpreted by / \ | 1 0 | | 0 1 | \ / 6 is interpreted by / \ | 1 0 | | 0 1 | \ / 7 is interpreted by / \ | 1 0 | | 0 1 | \ / 8 is interpreted by / \ | 1 0 | | 0 1 | \ / 9 is interpreted by / \ | 1 0 | | 0 1 | \ / 10 is interpreted by / \ | 1 0 | | 0 1 | \ / 11 is interpreted by / \ | 1 0 | | 0 1 | \ / 12 is interpreted by / \ | 1 1 | | 0 1 | \ / 13 is interpreted by / \ | 1 1 | | 0 1 | \ / 14 is interpreted by / \ | 1 1 | | 0 1 | \ / 15 is interpreted by / \ | 1 0 | | 0 1 | \ / 16 is interpreted by / \ | 1 1 | | 0 1 | \ / 17 is interpreted by / \ | 1 1 | | 0 1 | \ / 18 is interpreted by / \ | 1 1 | | 0 1 | \ / 19 is interpreted by / \ | 1 1 | | 0 1 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17, 18->18 }, it remains to prove termination of the 66-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 17 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 17 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 17 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 17 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 17 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 17 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 17 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 17 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 17 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 17 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 17 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 17 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 17 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 17 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 17 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 17 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 11 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 11 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 5 -> 11 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 11 , 5 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 5 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 6 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 6 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 9 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 9 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 , 18 6 7 4 5 10 15 0 4 5 6 10 11 6 7 4 4 4 4 -> 18 6 6 6 6 7 4 4 5 7 4 1 0 1 0 5 7 1 0 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2: 0 is interpreted by / \ | 1 0 | | 0 1 | \ / 1 is interpreted by / \ | 1 1 | | 0 1 | \ / 2 is interpreted by / \ | 1 1 | | 0 1 | \ / 3 is interpreted by / \ | 1 1 | | 0 1 | \ / 4 is interpreted by / \ | 1 1 | | 0 1 | \ / 5 is interpreted by / \ | 1 1 | | 0 1 | \ / 6 is interpreted by / \ | 1 1 | | 0 1 | \ / 7 is interpreted by / \ | 1 1 | | 0 1 | \ / 8 is interpreted by / \ | 1 1 | | 0 1 | \ / 9 is interpreted by / \ | 1 1 | | 0 1 | \ / 10 is interpreted by / \ | 1 1 | | 0 1 | \ / 11 is interpreted by / \ | 1 1 | | 0 1 | \ / 12 is interpreted by / \ | 1 0 | | 0 1 | \ / 13 is interpreted by / \ | 1 0 | | 0 1 | \ / 14 is interpreted by / \ | 1 0 | | 0 1 | \ / 15 is interpreted by / \ | 1 1 | | 0 1 | \ / 16 is interpreted by / \ | 1 0 | | 0 1 | \ / 17 is interpreted by / \ | 1 0 | | 0 1 | \ / 18 is interpreted by / \ | 1 0 | | 0 1 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17 }, it remains to prove termination of the 60-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 17 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 17 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 17 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 17 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 17 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 17 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 17 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 17 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 17 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 17 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 17 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 17 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 0 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 17 -> 0 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 17 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 1 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 1 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 5 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 5 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 8 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 8 , 4 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 17 -> 4 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 17 , 7 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 7 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 3 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 3 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 , 14 5 7 5 7 5 6 7 1 2 16 15 0 5 10 11 7 4 4 -> 14 5 7 4 5 10 0 1 15 11 6 6 7 8 16 11 7 4 4 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2: 0 is interpreted by / \ | 1 1 | | 0 1 | \ / 1 is interpreted by / \ | 1 0 | | 0 1 | \ / 2 is interpreted by / \ | 1 0 | | 0 1 | \ / 3 is interpreted by / \ | 1 0 | | 0 1 | \ / 4 is interpreted by / \ | 1 0 | | 0 1 | \ / 5 is interpreted by / \ | 1 0 | | 0 1 | \ / 6 is interpreted by / \ | 1 0 | | 0 1 | \ / 7 is interpreted by / \ | 1 1 | | 0 1 | \ / 8 is interpreted by / \ | 1 0 | | 0 1 | \ / 9 is interpreted by / \ | 1 0 | | 0 1 | \ / 10 is interpreted by / \ | 1 0 | | 0 1 | \ / 11 is interpreted by / \ | 1 0 | | 0 1 | \ / 12 is interpreted by / \ | 1 1 | | 0 1 | \ / 13 is interpreted by / \ | 1 1 | | 0 1 | \ / 14 is interpreted by / \ | 1 1 | | 0 1 | \ / 15 is interpreted by / \ | 1 0 | | 0 1 | \ / 16 is interpreted by / \ | 1 1 | | 0 1 | \ / 17 is interpreted by / \ | 1 1 | | 0 1 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15, 16->16, 17->17 }, it remains to prove termination of the 47-rule system { 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 7 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 7 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 0 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 13 -> 0 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 13 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 10 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 10 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 4 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 12 -> 4 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 12 , 7 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 7 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 3 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 3 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 14 1 2 3 4 1 0 4 5 6 7 8 9 10 11 6 6 6 6 -> 14 1 0 5 10 2 3 5 6 6 7 4 1 2 3 5 6 6 6 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 0 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 17 -> 0 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 17 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 1 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 1 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 5 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 5 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 8 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 8 , 4 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 17 -> 4 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 17 , 7 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 7 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 3 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 3 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 14 1 15 0 4 5 10 2 3 1 0 8 3 5 12 16 15 0 4 -> 14 4 4 1 0 1 11 10 0 8 16 15 2 9 12 3 1 0 4 , 11 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 11 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 1 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 1 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 4 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 4 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 5 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 5 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 8 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 8 , 6 7 4 4 4 1 15 0 1 11 7 4 4 1 11 6 6 7 17 -> 6 7 4 4 5 7 1 15 15 11 10 0 5 6 7 4 4 4 17 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 0 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 17 -> 0 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 17 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 4 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 17 -> 4 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 17 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 1 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 1 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 5 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 5 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 8 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 8 , 7 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 17 -> 7 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 17 , 3 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 3 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 , 14 4 4 4 4 4 5 10 0 5 7 5 6 7 1 15 0 4 4 -> 14 4 4 1 0 1 0 4 5 6 7 1 11 6 7 4 4 4 4 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2: 0 is interpreted by / \ | 1 0 | | 0 1 | \ / 1 is interpreted by / \ | 1 1 | | 0 1 | \ / 2 is interpreted by / \ | 1 0 | | 0 1 | \ / 3 is interpreted by / \ | 1 1 | | 0 1 | \ / 4 is interpreted by / \ | 1 1 | | 0 1 | \ / 5 is interpreted by / \ | 1 1 | | 0 1 | \ / 6 is interpreted by / \ | 1 1 | | 0 1 | \ / 7 is interpreted by / \ | 1 0 | | 0 1 | \ / 8 is interpreted by / \ | 1 1 | | 0 1 | \ / 9 is interpreted by / \ | 1 1 | | 0 1 | \ / 10 is interpreted by / \ | 1 1 | | 0 1 | \ / 11 is interpreted by / \ | 1 1 | | 0 1 | \ / 12 is interpreted by / \ | 1 0 | | 0 1 | \ / 13 is interpreted by / \ | 1 0 | | 0 1 | \ / 14 is interpreted by / \ | 1 0 | | 0 1 | \ / 15 is interpreted by / \ | 1 1 | | 0 1 | \ / 16 is interpreted by / \ | 1 0 | | 0 1 | \ / 17 is interpreted by / \ | 1 0 | | 0 1 | \ / After renaming modulo { 0->0, 1->1, 15->2, 4->3, 5->4, 10->5, 2->6, 3->7, 8->8, 12->9, 16->10, 11->11, 9->12, 17->13, 7->14, 14->15, 6->16 }, it remains to prove termination of the 36-rule system { 0 1 2 0 3 4 5 6 7 1 0 8 7 4 9 10 2 0 1 -> 0 3 3 1 0 1 11 5 0 8 10 2 6 12 9 7 1 0 1 , 0 1 2 0 3 4 5 6 7 1 0 8 7 4 9 10 2 0 3 -> 0 3 3 1 0 1 11 5 0 8 10 2 6 12 9 7 1 0 3 , 0 1 2 0 3 4 5 6 7 1 0 8 7 4 9 10 2 0 4 -> 0 3 3 1 0 1 11 5 0 8 10 2 6 12 9 7 1 0 4 , 0 1 2 0 3 4 5 6 7 1 0 8 7 4 9 10 2 0 8 -> 0 3 3 1 0 1 11 5 0 8 10 2 6 12 9 7 1 0 8 , 0 1 2 0 3 4 5 6 7 1 0 8 7 4 9 10 2 0 13 -> 0 3 3 1 0 1 11 5 0 8 10 2 6 12 9 7 1 0 13 , 3 1 2 0 3 4 5 6 7 1 0 8 7 4 9 10 2 0 1 -> 3 3 3 1 0 1 11 5 0 8 10 2 6 12 9 7 1 0 1 , 3 1 2 0 3 4 5 6 7 1 0 8 7 4 9 10 2 0 3 -> 3 3 3 1 0 1 11 5 0 8 10 2 6 12 9 7 1 0 3 , 3 1 2 0 3 4 5 6 7 1 0 8 7 4 9 10 2 0 4 -> 3 3 3 1 0 1 11 5 0 8 10 2 6 12 9 7 1 0 4 , 3 1 2 0 3 4 5 6 7 1 0 8 7 4 9 10 2 0 8 -> 3 3 3 1 0 1 11 5 0 8 10 2 6 12 9 7 1 0 8 , 3 1 2 0 3 4 5 6 7 1 0 8 7 4 9 10 2 0 13 -> 3 3 3 1 0 1 11 5 0 8 10 2 6 12 9 7 1 0 13 , 14 1 2 0 3 4 5 6 7 1 0 8 7 4 9 10 2 0 3 -> 14 3 3 1 0 1 11 5 0 8 10 2 6 12 9 7 1 0 3 , 7 1 2 0 3 4 5 6 7 1 0 8 7 4 9 10 2 0 3 -> 7 3 3 1 0 1 11 5 0 8 10 2 6 12 9 7 1 0 3 , 15 1 2 0 3 4 5 6 7 1 0 8 7 4 9 10 2 0 3 -> 15 3 3 1 0 1 11 5 0 8 10 2 6 12 9 7 1 0 3 , 11 14 3 3 3 1 2 0 1 11 14 3 3 1 11 16 16 14 3 -> 11 14 3 3 4 14 1 2 2 11 5 0 4 16 14 3 3 3 3 , 16 14 3 3 3 1 2 0 1 11 14 3 3 1 11 16 16 14 1 -> 16 14 3 3 4 14 1 2 2 11 5 0 4 16 14 3 3 3 1 , 16 14 3 3 3 1 2 0 1 11 14 3 3 1 11 16 16 14 3 -> 16 14 3 3 4 14 1 2 2 11 5 0 4 16 14 3 3 3 3 , 16 14 3 3 3 1 2 0 1 11 14 3 3 1 11 16 16 14 4 -> 16 14 3 3 4 14 1 2 2 11 5 0 4 16 14 3 3 3 4 , 16 14 3 3 3 1 2 0 1 11 14 3 3 1 11 16 16 14 8 -> 16 14 3 3 4 14 1 2 2 11 5 0 4 16 14 3 3 3 8 , 16 14 3 3 3 1 2 0 1 11 14 3 3 1 11 16 16 14 13 -> 16 14 3 3 4 14 1 2 2 11 5 0 4 16 14 3 3 3 13 , 0 3 3 3 3 3 4 5 0 4 14 4 16 14 1 2 0 3 1 -> 0 3 3 1 0 1 0 3 4 16 14 1 11 16 14 3 3 3 1 , 0 3 3 3 3 3 4 5 0 4 14 4 16 14 1 2 0 3 3 -> 0 3 3 1 0 1 0 3 4 16 14 1 11 16 14 3 3 3 3 , 0 3 3 3 3 3 4 5 0 4 14 4 16 14 1 2 0 3 4 -> 0 3 3 1 0 1 0 3 4 16 14 1 11 16 14 3 3 3 4 , 0 3 3 3 3 3 4 5 0 4 14 4 16 14 1 2 0 3 8 -> 0 3 3 1 0 1 0 3 4 16 14 1 11 16 14 3 3 3 8 , 0 3 3 3 3 3 4 5 0 4 14 4 16 14 1 2 0 3 13 -> 0 3 3 1 0 1 0 3 4 16 14 1 11 16 14 3 3 3 13 , 3 3 3 3 3 3 4 5 0 4 14 4 16 14 1 2 0 3 1 -> 3 3 3 1 0 1 0 3 4 16 14 1 11 16 14 3 3 3 1 , 3 3 3 3 3 3 4 5 0 4 14 4 16 14 1 2 0 3 3 -> 3 3 3 1 0 1 0 3 4 16 14 1 11 16 14 3 3 3 3 , 3 3 3 3 3 3 4 5 0 4 14 4 16 14 1 2 0 3 4 -> 3 3 3 1 0 1 0 3 4 16 14 1 11 16 14 3 3 3 4 , 3 3 3 3 3 3 4 5 0 4 14 4 16 14 1 2 0 3 8 -> 3 3 3 1 0 1 0 3 4 16 14 1 11 16 14 3 3 3 8 , 3 3 3 3 3 3 4 5 0 4 14 4 16 14 1 2 0 3 13 -> 3 3 3 1 0 1 0 3 4 16 14 1 11 16 14 3 3 3 13 , 14 3 3 3 3 3 4 5 0 4 14 4 16 14 1 2 0 3 1 -> 14 3 3 1 0 1 0 3 4 16 14 1 11 16 14 3 3 3 1 , 14 3 3 3 3 3 4 5 0 4 14 4 16 14 1 2 0 3 3 -> 14 3 3 1 0 1 0 3 4 16 14 1 11 16 14 3 3 3 3 , 14 3 3 3 3 3 4 5 0 4 14 4 16 14 1 2 0 3 4 -> 14 3 3 1 0 1 0 3 4 16 14 1 11 16 14 3 3 3 4 , 14 3 3 3 3 3 4 5 0 4 14 4 16 14 1 2 0 3 8 -> 14 3 3 1 0 1 0 3 4 16 14 1 11 16 14 3 3 3 8 , 14 3 3 3 3 3 4 5 0 4 14 4 16 14 1 2 0 3 13 -> 14 3 3 1 0 1 0 3 4 16 14 1 11 16 14 3 3 3 13 , 7 3 3 3 3 3 4 5 0 4 14 4 16 14 1 2 0 3 3 -> 7 3 3 1 0 1 0 3 4 16 14 1 11 16 14 3 3 3 3 , 15 3 3 3 3 3 4 5 0 4 14 4 16 14 1 2 0 3 3 -> 15 3 3 1 0 1 0 3 4 16 14 1 11 16 14 3 3 3 3 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2: 0 is interpreted by / \ | 1 0 | | 0 1 | \ / 1 is interpreted by / \ | 1 1 | | 0 1 | \ / 2 is interpreted by / \ | 1 1 | | 0 1 | \ / 3 is interpreted by / \ | 1 0 | | 0 1 | \ / 4 is interpreted by / \ | 1 1 | | 0 1 | \ / 5 is interpreted by / \ | 1 1 | | 0 1 | \ / 6 is interpreted by / \ | 1 0 | | 0 1 | \ / 7 is interpreted by / \ | 1 1 | | 0 1 | \ / 8 is interpreted by / \ | 1 0 | | 0 1 | \ / 9 is interpreted by / \ | 1 0 | | 0 1 | \ / 10 is interpreted by / \ | 1 0 | | 0 1 | \ / 11 is interpreted by / \ | 1 1 | | 0 1 | \ / 12 is interpreted by / \ | 1 0 | | 0 1 | \ / 13 is interpreted by / \ | 1 0 | | 0 1 | \ / 14 is interpreted by / \ | 1 0 | | 0 1 | \ / 15 is interpreted by / \ | 1 0 | | 0 1 | \ / 16 is interpreted by / \ | 1 1 | | 0 1 | \ / After renaming modulo { 11->0, 14->1, 3->2, 1->3, 2->4, 0->5, 16->6, 4->7, 5->8, 8->9, 13->10, 7->11, 15->12 }, it remains to prove termination of the 23-rule system { 0 1 2 2 2 3 4 5 3 0 1 2 2 3 0 6 6 1 2 -> 0 1 2 2 7 1 3 4 4 0 8 5 7 6 1 2 2 2 2 , 6 1 2 2 2 3 4 5 3 0 1 2 2 3 0 6 6 1 3 -> 6 1 2 2 7 1 3 4 4 0 8 5 7 6 1 2 2 2 3 , 6 1 2 2 2 3 4 5 3 0 1 2 2 3 0 6 6 1 2 -> 6 1 2 2 7 1 3 4 4 0 8 5 7 6 1 2 2 2 2 , 6 1 2 2 2 3 4 5 3 0 1 2 2 3 0 6 6 1 7 -> 6 1 2 2 7 1 3 4 4 0 8 5 7 6 1 2 2 2 7 , 6 1 2 2 2 3 4 5 3 0 1 2 2 3 0 6 6 1 9 -> 6 1 2 2 7 1 3 4 4 0 8 5 7 6 1 2 2 2 9 , 6 1 2 2 2 3 4 5 3 0 1 2 2 3 0 6 6 1 10 -> 6 1 2 2 7 1 3 4 4 0 8 5 7 6 1 2 2 2 10 , 5 2 2 2 2 2 7 8 5 7 1 7 6 1 3 4 5 2 3 -> 5 2 2 3 5 3 5 2 7 6 1 3 0 6 1 2 2 2 3 , 5 2 2 2 2 2 7 8 5 7 1 7 6 1 3 4 5 2 2 -> 5 2 2 3 5 3 5 2 7 6 1 3 0 6 1 2 2 2 2 , 5 2 2 2 2 2 7 8 5 7 1 7 6 1 3 4 5 2 7 -> 5 2 2 3 5 3 5 2 7 6 1 3 0 6 1 2 2 2 7 , 5 2 2 2 2 2 7 8 5 7 1 7 6 1 3 4 5 2 9 -> 5 2 2 3 5 3 5 2 7 6 1 3 0 6 1 2 2 2 9 , 5 2 2 2 2 2 7 8 5 7 1 7 6 1 3 4 5 2 10 -> 5 2 2 3 5 3 5 2 7 6 1 3 0 6 1 2 2 2 10 , 2 2 2 2 2 2 7 8 5 7 1 7 6 1 3 4 5 2 3 -> 2 2 2 3 5 3 5 2 7 6 1 3 0 6 1 2 2 2 3 , 2 2 2 2 2 2 7 8 5 7 1 7 6 1 3 4 5 2 2 -> 2 2 2 3 5 3 5 2 7 6 1 3 0 6 1 2 2 2 2 , 2 2 2 2 2 2 7 8 5 7 1 7 6 1 3 4 5 2 7 -> 2 2 2 3 5 3 5 2 7 6 1 3 0 6 1 2 2 2 7 , 2 2 2 2 2 2 7 8 5 7 1 7 6 1 3 4 5 2 9 -> 2 2 2 3 5 3 5 2 7 6 1 3 0 6 1 2 2 2 9 , 2 2 2 2 2 2 7 8 5 7 1 7 6 1 3 4 5 2 10 -> 2 2 2 3 5 3 5 2 7 6 1 3 0 6 1 2 2 2 10 , 1 2 2 2 2 2 7 8 5 7 1 7 6 1 3 4 5 2 3 -> 1 2 2 3 5 3 5 2 7 6 1 3 0 6 1 2 2 2 3 , 1 2 2 2 2 2 7 8 5 7 1 7 6 1 3 4 5 2 2 -> 1 2 2 3 5 3 5 2 7 6 1 3 0 6 1 2 2 2 2 , 1 2 2 2 2 2 7 8 5 7 1 7 6 1 3 4 5 2 7 -> 1 2 2 3 5 3 5 2 7 6 1 3 0 6 1 2 2 2 7 , 1 2 2 2 2 2 7 8 5 7 1 7 6 1 3 4 5 2 9 -> 1 2 2 3 5 3 5 2 7 6 1 3 0 6 1 2 2 2 9 , 1 2 2 2 2 2 7 8 5 7 1 7 6 1 3 4 5 2 10 -> 1 2 2 3 5 3 5 2 7 6 1 3 0 6 1 2 2 2 10 , 11 2 2 2 2 2 7 8 5 7 1 7 6 1 3 4 5 2 2 -> 11 2 2 3 5 3 5 2 7 6 1 3 0 6 1 2 2 2 2 , 12 2 2 2 2 2 7 8 5 7 1 7 6 1 3 4 5 2 2 -> 12 2 2 3 5 3 5 2 7 6 1 3 0 6 1 2 2 2 2 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 6->0, 1->1, 2->2, 3->3, 4->4, 5->5, 0->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12 }, it remains to prove termination of the 22-rule system { 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 3 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 3 , 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 2 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 2 , 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 7 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 7 , 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 9 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 9 , 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 10 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 10 , 5 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 3 -> 5 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 3 , 5 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 2 -> 5 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 2 , 5 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 7 -> 5 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 7 , 5 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 9 -> 5 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 9 , 5 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 10 -> 5 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 10 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 3 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 3 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 2 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 2 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 7 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 7 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 9 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 9 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 10 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 10 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 3 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 3 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 2 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 2 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 7 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 7 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 9 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 9 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 10 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 10 , 11 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 2 -> 11 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 2 , 12 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 2 -> 12 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 2 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12 }, it remains to prove termination of the 21-rule system { 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 3 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 3 , 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 2 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 2 , 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 7 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 7 , 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 9 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 9 , 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 10 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 10 , 5 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 2 -> 5 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 2 , 5 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 7 -> 5 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 7 , 5 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 9 -> 5 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 9 , 5 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 10 -> 5 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 10 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 3 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 3 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 2 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 2 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 7 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 7 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 9 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 9 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 10 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 10 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 3 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 3 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 2 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 2 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 7 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 7 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 9 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 9 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 10 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 10 , 11 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 2 -> 11 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 2 , 12 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 2 -> 12 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 2 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12 }, it remains to prove termination of the 20-rule system { 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 3 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 3 , 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 2 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 2 , 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 7 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 7 , 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 9 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 9 , 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 10 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 10 , 5 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 7 -> 5 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 7 , 5 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 9 -> 5 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 9 , 5 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 10 -> 5 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 10 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 3 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 3 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 2 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 2 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 7 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 7 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 9 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 9 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 10 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 10 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 3 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 3 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 2 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 2 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 7 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 7 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 9 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 9 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 10 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 10 , 11 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 2 -> 11 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 2 , 12 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 2 -> 12 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 2 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12 }, it remains to prove termination of the 19-rule system { 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 3 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 3 , 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 2 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 2 , 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 7 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 7 , 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 9 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 9 , 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 10 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 10 , 5 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 9 -> 5 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 9 , 5 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 10 -> 5 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 10 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 3 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 3 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 2 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 2 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 7 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 7 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 9 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 9 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 10 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 10 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 3 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 3 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 2 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 2 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 7 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 7 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 9 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 9 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 10 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 10 , 11 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 2 -> 11 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 2 , 12 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 2 -> 12 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 2 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12 }, it remains to prove termination of the 18-rule system { 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 3 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 3 , 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 2 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 2 , 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 7 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 7 , 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 9 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 9 , 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 10 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 10 , 5 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 10 -> 5 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 10 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 3 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 3 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 2 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 2 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 7 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 7 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 9 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 9 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 10 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 10 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 3 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 3 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 2 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 2 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 7 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 7 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 9 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 9 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 10 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 10 , 11 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 2 -> 11 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 2 , 12 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 2 -> 12 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 2 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12 }, it remains to prove termination of the 17-rule system { 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 3 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 3 , 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 2 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 2 , 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 7 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 7 , 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 9 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 9 , 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 10 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 10 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 3 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 3 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 2 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 2 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 7 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 7 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 9 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 9 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 10 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 10 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 3 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 3 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 2 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 2 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 7 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 7 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 9 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 9 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 10 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 10 , 11 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 2 -> 11 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 2 , 12 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 2 -> 12 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 2 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 12->11 }, it remains to prove termination of the 16-rule system { 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 3 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 3 , 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 2 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 2 , 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 7 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 7 , 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 9 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 9 , 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 10 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 10 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 3 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 3 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 2 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 2 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 7 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 7 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 9 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 9 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 10 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 10 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 3 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 3 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 2 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 2 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 7 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 7 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 9 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 9 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 10 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 10 , 11 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 2 -> 11 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 2 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10 }, it remains to prove termination of the 15-rule system { 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 3 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 3 , 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 2 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 2 , 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 7 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 7 , 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 9 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 9 , 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 10 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 10 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 3 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 3 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 2 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 2 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 7 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 7 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 9 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 9 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 10 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 10 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 3 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 3 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 2 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 2 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 7 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 7 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 9 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 9 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 10 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 10 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10 }, it remains to prove termination of the 14-rule system { 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 2 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 2 , 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 7 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 7 , 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 9 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 9 , 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 10 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 10 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 3 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 3 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 2 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 2 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 7 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 7 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 9 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 9 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 10 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 10 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 3 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 3 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 2 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 2 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 7 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 7 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 9 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 9 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 10 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 10 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10 }, it remains to prove termination of the 13-rule system { 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 7 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 7 , 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 9 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 9 , 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 10 -> 0 1 2 2 7 1 3 4 4 6 8 5 7 0 1 2 2 2 10 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 3 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 3 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 2 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 2 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 7 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 7 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 9 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 9 , 2 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 10 -> 2 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 10 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 3 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 3 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 2 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 2 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 7 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 7 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 9 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 9 , 1 2 2 2 2 2 7 8 5 7 1 7 0 1 3 4 5 2 10 -> 1 2 2 3 5 3 5 2 7 0 1 3 6 0 1 2 2 2 10 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 9->7, 7->8, 8->9, 10->10 }, it remains to prove termination of the 12-rule system { 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 7 -> 0 1 2 2 8 1 3 4 4 6 9 5 8 0 1 2 2 2 7 , 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 10 -> 0 1 2 2 8 1 3 4 4 6 9 5 8 0 1 2 2 2 10 , 2 2 2 2 2 2 8 9 5 8 1 8 0 1 3 4 5 2 3 -> 2 2 2 3 5 3 5 2 8 0 1 3 6 0 1 2 2 2 3 , 2 2 2 2 2 2 8 9 5 8 1 8 0 1 3 4 5 2 2 -> 2 2 2 3 5 3 5 2 8 0 1 3 6 0 1 2 2 2 2 , 2 2 2 2 2 2 8 9 5 8 1 8 0 1 3 4 5 2 8 -> 2 2 2 3 5 3 5 2 8 0 1 3 6 0 1 2 2 2 8 , 2 2 2 2 2 2 8 9 5 8 1 8 0 1 3 4 5 2 7 -> 2 2 2 3 5 3 5 2 8 0 1 3 6 0 1 2 2 2 7 , 2 2 2 2 2 2 8 9 5 8 1 8 0 1 3 4 5 2 10 -> 2 2 2 3 5 3 5 2 8 0 1 3 6 0 1 2 2 2 10 , 1 2 2 2 2 2 8 9 5 8 1 8 0 1 3 4 5 2 3 -> 1 2 2 3 5 3 5 2 8 0 1 3 6 0 1 2 2 2 3 , 1 2 2 2 2 2 8 9 5 8 1 8 0 1 3 4 5 2 2 -> 1 2 2 3 5 3 5 2 8 0 1 3 6 0 1 2 2 2 2 , 1 2 2 2 2 2 8 9 5 8 1 8 0 1 3 4 5 2 8 -> 1 2 2 3 5 3 5 2 8 0 1 3 6 0 1 2 2 2 8 , 1 2 2 2 2 2 8 9 5 8 1 8 0 1 3 4 5 2 7 -> 1 2 2 3 5 3 5 2 8 0 1 3 6 0 1 2 2 2 7 , 1 2 2 2 2 2 8 9 5 8 1 8 0 1 3 4 5 2 10 -> 1 2 2 3 5 3 5 2 8 0 1 3 6 0 1 2 2 2 10 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 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0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 10->7, 8->8, 9->9, 7->10 }, it remains to prove termination of the 11-rule system { 0 1 2 2 2 3 4 5 3 6 1 2 2 3 6 0 0 1 7 -> 0 1 2 2 8 1 3 4 4 6 9 5 8 0 1 2 2 2 7 , 2 2 2 2 2 2 8 9 5 8 1 8 0 1 3 4 5 2 3 -> 2 2 2 3 5 3 5 2 8 0 1 3 6 0 1 2 2 2 3 , 2 2 2 2 2 2 8 9 5 8 1 8 0 1 3 4 5 2 2 -> 2 2 2 3 5 3 5 2 8 0 1 3 6 0 1 2 2 2 2 , 2 2 2 2 2 2 8 9 5 8 1 8 0 1 3 4 5 2 8 -> 2 2 2 3 5 3 5 2 8 0 1 3 6 0 1 2 2 2 8 , 2 2 2 2 2 2 8 9 5 8 1 8 0 1 3 4 5 2 10 -> 2 2 2 3 5 3 5 2 8 0 1 3 6 0 1 2 2 2 10 , 2 2 2 2 2 2 8 9 5 8 1 8 0 1 3 4 5 2 7 -> 2 2 2 3 5 3 5 2 8 0 1 3 6 0 1 2 2 2 7 , 1 2 2 2 2 2 8 9 5 8 1 8 0 1 3 4 5 2 3 -> 1 2 2 3 5 3 5 2 8 0 1 3 6 0 1 2 2 2 3 , 1 2 2 2 2 2 8 9 5 8 1 8 0 1 3 4 5 2 2 -> 1 2 2 3 5 3 5 2 8 0 1 3 6 0 1 2 2 2 2 , 1 2 2 2 2 2 8 9 5 8 1 8 0 1 3 4 5 2 8 -> 1 2 2 3 5 3 5 2 8 0 1 3 6 0 1 2 2 2 8 , 1 2 2 2 2 2 8 9 5 8 1 8 0 1 3 4 5 2 10 -> 1 2 2 3 5 3 5 2 8 0 1 3 6 0 1 2 2 2 10 , 1 2 2 2 2 2 8 9 5 8 1 8 0 1 3 4 5 2 7 -> 1 2 2 3 5 3 5 2 8 0 1 3 6 0 1 2 2 2 7 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 2->0, 8->1, 9->2, 5->3, 1->4, 0->5, 3->6, 4->7, 6->8, 10->9, 7->10 }, it remains to prove termination of the 10-rule system { 0 0 0 0 0 0 1 2 3 1 4 1 5 4 6 7 3 0 6 -> 0 0 0 6 3 6 3 0 1 5 4 6 8 5 4 0 0 0 6 , 0 0 0 0 0 0 1 2 3 1 4 1 5 4 6 7 3 0 0 -> 0 0 0 6 3 6 3 0 1 5 4 6 8 5 4 0 0 0 0 , 0 0 0 0 0 0 1 2 3 1 4 1 5 4 6 7 3 0 1 -> 0 0 0 6 3 6 3 0 1 5 4 6 8 5 4 0 0 0 1 , 0 0 0 0 0 0 1 2 3 1 4 1 5 4 6 7 3 0 9 -> 0 0 0 6 3 6 3 0 1 5 4 6 8 5 4 0 0 0 9 , 0 0 0 0 0 0 1 2 3 1 4 1 5 4 6 7 3 0 10 -> 0 0 0 6 3 6 3 0 1 5 4 6 8 5 4 0 0 0 10 , 4 0 0 0 0 0 1 2 3 1 4 1 5 4 6 7 3 0 6 -> 4 0 0 6 3 6 3 0 1 5 4 6 8 5 4 0 0 0 6 , 4 0 0 0 0 0 1 2 3 1 4 1 5 4 6 7 3 0 0 -> 4 0 0 6 3 6 3 0 1 5 4 6 8 5 4 0 0 0 0 , 4 0 0 0 0 0 1 2 3 1 4 1 5 4 6 7 3 0 1 -> 4 0 0 6 3 6 3 0 1 5 4 6 8 5 4 0 0 0 1 , 4 0 0 0 0 0 1 2 3 1 4 1 5 4 6 7 3 0 9 -> 4 0 0 6 3 6 3 0 1 5 4 6 8 5 4 0 0 0 9 , 4 0 0 0 0 0 1 2 3 1 4 1 5 4 6 7 3 0 10 -> 4 0 0 6 3 6 3 0 1 5 4 6 8 5 4 0 0 0 10 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2: 0 is interpreted by / \ | 1 0 | | 0 1 | \ / 1 is interpreted by / \ | 1 1 | | 0 1 | \ / 2 is interpreted by / \ | 1 1 | | 0 1 | \ / 3 is interpreted by / \ | 1 0 | | 0 1 | \ / 4 is interpreted by / \ | 1 0 | | 0 1 | \ / 5 is interpreted by / \ | 1 0 | | 0 1 | \ / 6 is interpreted by / \ | 1 0 | | 0 1 | \ / 7 is interpreted by / \ | 1 1 | | 0 1 | \ / 8 is interpreted by / \ | 1 0 | | 0 1 | \ / 9 is interpreted by / \ | 1 0 | | 0 1 | \ / 10 is interpreted by / \ | 1 0 | | 0 1 | \ / After renaming modulo { }, it remains to prove termination of the 0-rule system { } The system is trivially terminating.