YES After renaming modulo { 0->0, 2->1, 3->2, 1->3 }, it remains to prove termination of the 81-rule system { 0 0 0 1 2 0 1 1 0 2 0 3 1 2 2 0 1 0 -> 0 3 2 1 2 1 1 1 0 0 2 2 1 0 0 0 0 0 , 0 0 0 2 0 3 2 0 1 0 2 0 2 0 2 3 0 2 -> 0 0 3 0 0 3 0 2 2 0 0 2 1 0 2 0 2 2 , 0 0 1 0 2 0 2 3 3 0 0 3 2 0 2 0 0 1 -> 0 0 3 3 3 0 2 0 2 2 0 0 1 0 2 0 0 1 , 0 0 1 0 2 3 2 1 3 3 1 2 2 0 1 1 1 1 -> 2 1 2 3 1 0 3 2 1 0 1 0 1 2 0 3 1 1 , 0 0 1 2 0 1 3 1 1 2 0 2 2 3 3 0 1 0 -> 0 0 3 1 1 2 2 1 0 2 3 0 1 3 0 2 1 0 , 0 0 2 3 1 2 3 0 1 2 2 0 1 3 2 0 1 1 -> 0 2 1 0 2 2 3 1 1 0 3 2 0 0 1 3 2 1 , 0 3 0 0 1 1 3 3 2 0 0 3 1 0 3 1 1 0 -> 0 3 3 0 0 0 1 1 3 1 0 3 3 0 2 1 1 0 , 0 3 0 1 2 0 1 3 1 1 3 3 2 2 1 0 2 2 -> 0 3 1 0 1 1 2 2 1 0 3 2 1 2 0 3 3 2 , 0 3 3 2 0 1 0 2 0 3 1 2 0 1 0 2 0 2 -> 0 0 0 1 2 2 3 0 3 1 0 0 0 3 2 2 1 2 , 0 3 1 2 1 0 1 2 3 0 2 0 1 1 3 3 2 2 -> 0 3 1 1 2 1 2 3 3 1 2 2 1 0 0 3 0 2 , 0 3 1 2 1 1 3 2 0 1 3 2 2 3 0 0 1 3 -> 0 2 1 3 0 3 0 1 2 0 3 2 1 3 2 1 1 3 , 0 1 3 2 0 2 2 2 2 3 3 3 2 2 2 1 3 1 -> 3 2 1 2 2 2 3 0 3 2 3 2 2 2 1 0 3 1 , 0 1 1 0 2 3 2 2 0 3 0 2 2 3 3 0 3 1 -> 0 2 3 1 0 2 1 2 3 0 0 2 3 0 3 2 3 1 , 0 2 0 0 3 2 0 0 3 2 0 2 2 3 3 3 3 0 -> 0 2 0 2 0 0 2 3 0 3 2 3 3 0 2 3 3 0 , 0 2 0 0 2 3 0 2 0 0 0 3 1 3 1 0 1 0 -> 0 2 0 0 3 3 0 1 1 2 0 0 3 0 0 2 1 0 , 0 2 0 1 0 0 0 0 1 1 0 1 3 0 1 1 1 0 -> 0 1 1 1 3 1 0 0 2 1 1 0 0 1 0 0 0 0 , 0 2 0 2 0 2 0 3 2 0 0 2 1 0 1 3 0 2 -> 3 2 1 2 0 0 3 0 0 2 1 0 2 0 0 2 0 2 , 0 2 0 2 3 2 0 3 2 0 1 1 2 3 1 0 2 3 -> 3 0 2 0 2 0 0 2 1 2 0 3 1 2 3 1 2 3 , 0 2 0 2 1 1 0 0 1 2 1 3 2 2 0 1 0 1 -> 0 2 2 3 0 0 1 1 0 0 0 1 2 1 2 1 2 1 , 0 2 3 1 2 1 3 1 2 2 1 3 1 2 2 1 1 1 -> 3 1 2 1 2 3 1 0 2 2 3 2 1 1 2 1 1 1 , 0 2 1 0 3 0 3 3 3 0 0 1 3 3 1 1 3 3 -> 0 2 1 3 0 3 1 3 1 0 0 3 3 0 3 1 3 3 , 3 0 3 3 3 1 1 2 0 1 0 2 1 2 0 2 0 0 -> 3 2 1 0 2 3 3 0 2 1 0 2 1 0 1 3 0 0 , 3 0 3 1 1 1 0 2 2 1 3 1 0 1 0 3 1 1 -> 3 0 1 1 3 1 0 1 1 3 3 0 0 1 2 1 2 1 , 3 0 2 0 2 2 0 1 3 1 2 2 3 0 1 1 2 2 -> 3 0 2 3 1 2 2 3 0 1 1 2 0 0 2 1 2 2 , 3 3 0 3 2 0 2 3 2 3 3 2 2 3 1 1 2 2 -> 3 2 3 2 3 0 2 3 2 3 2 3 2 1 2 1 3 0 , 3 3 3 0 1 3 2 1 1 1 3 2 2 3 0 0 1 0 -> 3 0 3 2 1 3 1 3 3 2 1 1 2 0 0 3 1 0 , 3 3 3 3 3 3 1 3 1 1 1 1 1 0 2 2 3 0 -> 3 3 2 1 1 2 3 1 3 3 1 0 3 0 1 3 3 1 , 3 3 3 1 0 3 1 3 2 3 0 2 2 0 0 1 3 2 -> 3 3 3 3 1 1 0 2 3 0 2 1 0 0 3 2 3 2 , 3 3 3 1 2 0 2 0 1 1 3 0 3 2 2 2 2 3 -> 3 1 2 0 3 1 2 3 2 2 1 0 3 2 3 2 0 3 , 3 3 3 2 0 3 0 3 2 3 3 0 1 2 3 3 3 2 -> 3 3 2 3 2 0 3 3 0 3 0 3 2 3 1 3 3 2 , 3 3 3 2 0 1 0 2 2 2 0 0 0 3 1 0 1 3 -> 3 1 2 1 0 3 0 2 0 0 3 2 0 3 0 2 1 3 , 3 3 1 1 1 1 2 0 1 3 2 0 0 0 1 1 1 3 -> 3 1 1 2 0 3 1 0 0 1 2 3 0 1 1 1 1 3 , 3 3 2 0 1 3 1 3 0 2 3 0 2 1 2 0 1 3 -> 3 3 0 1 2 2 2 2 0 3 3 0 3 1 1 0 1 3 , 3 3 2 3 3 1 0 1 3 2 0 1 2 2 2 1 3 2 -> 3 0 2 1 3 2 2 3 1 3 3 2 1 1 2 0 3 2 , 3 2 0 1 0 3 3 3 3 2 0 0 3 3 1 2 3 3 -> 3 0 3 3 1 3 2 1 2 3 2 0 3 3 0 0 3 3 , 3 2 0 1 3 3 2 3 3 0 2 1 2 2 3 3 1 1 -> 3 1 2 0 2 2 2 1 3 3 0 3 3 3 2 3 1 1 , 3 2 0 1 3 2 0 3 1 1 3 3 0 1 2 2 2 1 -> 2 1 3 3 2 1 3 2 1 2 3 0 0 3 0 1 2 1 , 3 2 0 1 3 2 3 1 3 3 0 1 3 3 3 3 3 3 -> 3 2 3 3 3 3 0 3 1 3 3 0 3 1 2 1 3 3 , 3 2 0 1 3 2 1 0 0 2 0 3 1 2 2 1 1 1 -> 3 2 3 0 0 1 0 3 2 2 1 1 2 1 0 1 2 1 , 3 2 3 2 0 3 2 0 0 0 2 2 0 3 1 1 1 2 -> 3 0 0 1 2 3 0 2 3 2 1 2 1 0 3 2 0 2 , 3 2 3 2 0 1 3 0 3 2 0 1 3 1 3 3 2 3 -> 3 0 3 0 3 2 1 1 0 2 3 1 3 3 3 2 2 3 , 3 2 2 3 2 2 3 0 1 3 3 2 3 1 1 2 1 2 -> 3 2 3 1 3 3 0 2 3 1 2 2 3 1 2 2 1 2 , 1 0 0 2 0 2 1 0 1 0 3 1 0 3 2 3 0 2 -> 1 0 0 2 0 2 1 1 2 0 3 1 0 0 3 3 0 2 , 1 0 3 2 3 2 0 1 3 2 0 1 3 3 0 1 2 1 -> 2 0 3 3 1 3 2 1 2 3 1 0 0 3 1 0 2 1 , 1 0 1 3 2 0 0 0 2 3 0 1 1 2 0 1 0 0 -> 1 0 2 1 0 1 3 1 0 2 0 0 2 0 3 1 0 0 , 1 0 1 1 3 0 1 0 1 1 1 3 2 0 1 0 0 0 -> 1 0 0 3 0 0 0 1 2 0 3 1 1 1 1 1 1 0 , 1 0 1 1 1 1 3 2 3 1 2 0 2 0 2 2 2 2 -> 1 0 2 0 1 3 2 2 0 3 2 1 1 1 1 2 2 2 , 1 3 3 2 0 0 2 1 3 1 3 1 2 2 0 2 3 0 -> 1 3 3 2 1 2 0 3 3 1 0 0 2 2 0 2 3 1 , 1 3 1 1 3 0 1 3 1 1 3 2 0 1 1 3 3 3 -> 1 0 1 3 1 1 2 1 1 3 0 1 3 3 3 1 3 3 , 1 3 1 1 1 0 1 0 1 3 2 2 1 1 2 3 2 2 -> 1 3 2 1 2 1 2 2 1 0 1 1 0 3 3 2 1 1 , 1 3 1 1 1 1 0 2 0 2 1 0 3 0 0 1 0 1 -> 1 1 2 1 1 0 0 3 0 1 0 1 1 3 0 2 0 1 , 1 3 2 1 2 1 3 1 1 3 2 0 0 0 2 3 3 1 -> 1 2 1 0 0 3 3 2 1 1 3 2 3 1 0 3 2 1 , 1 1 0 3 0 1 2 2 1 0 3 2 1 3 1 1 2 1 -> 1 1 3 2 1 1 1 2 1 2 3 1 0 0 0 3 2 1 , 1 1 3 0 3 2 0 1 3 0 1 3 0 1 3 3 0 3 -> 1 1 0 3 3 0 3 2 0 3 3 1 3 1 0 1 0 3 , 1 1 3 1 3 2 0 3 0 1 1 0 3 2 2 0 1 3 -> 1 1 1 3 2 1 1 3 3 1 2 0 0 3 2 0 0 3 , 1 1 2 0 0 2 3 2 0 1 2 0 2 2 3 1 2 1 -> 3 0 1 2 1 2 0 0 2 0 2 2 3 2 1 1 2 1 , 1 2 0 3 3 0 1 3 1 0 2 3 0 2 1 3 2 3 -> 1 0 3 3 3 2 2 3 1 2 1 0 0 3 1 0 2 3 , 1 2 0 1 3 1 0 0 2 0 0 1 0 1 2 3 1 0 -> 2 1 0 3 0 1 1 0 0 0 2 3 0 1 2 1 1 0 , 1 2 3 3 3 3 1 0 0 1 0 1 1 3 2 2 3 1 -> 1 2 1 2 0 1 3 2 3 1 3 1 3 0 0 3 3 1 , 2 0 0 0 0 3 1 1 2 0 2 0 2 3 2 2 2 2 -> 2 1 2 0 0 0 2 1 2 0 0 0 3 3 2 2 2 2 , 2 0 3 3 1 2 0 0 2 0 2 3 1 3 2 3 3 0 -> 2 0 3 1 2 2 3 0 2 0 3 0 2 1 3 3 3 0 , 2 0 1 3 3 3 2 3 2 1 3 2 0 0 2 1 2 1 -> 2 2 0 3 1 1 0 3 3 3 2 1 2 2 0 3 2 1 , 2 0 1 1 0 0 1 3 1 0 1 3 0 3 1 0 3 0 -> 0 3 0 1 0 1 0 0 3 1 3 1 2 1 1 0 3 0 , 2 0 1 2 3 1 2 2 0 0 0 2 1 1 1 3 1 3 -> 2 0 2 2 1 2 1 2 0 1 0 1 0 3 1 3 1 3 , 2 0 1 2 1 3 0 3 2 2 1 1 2 0 2 1 0 0 -> 2 0 2 1 2 2 3 1 2 1 1 0 3 1 0 0 2 0 , 2 0 2 0 2 2 3 0 2 0 2 2 3 2 3 3 0 2 -> 0 3 2 3 2 2 2 2 3 0 0 3 2 2 2 0 0 2 , 2 0 2 3 0 0 2 3 2 0 1 0 1 2 0 0 0 0 -> 0 0 0 1 2 3 3 0 0 0 0 0 2 2 1 2 2 0 , 2 3 0 3 1 1 3 2 2 2 0 1 2 3 0 3 1 2 -> 2 3 0 3 3 1 1 2 1 1 0 0 2 3 2 2 3 2 , 2 3 1 1 2 2 3 0 1 3 2 2 1 3 3 1 0 0 -> 2 3 2 0 1 1 1 3 3 2 3 2 1 2 3 1 0 0 , 2 3 2 0 1 0 1 1 1 1 1 3 2 0 0 2 0 0 -> 1 3 2 1 0 2 3 2 0 0 2 1 1 0 1 1 0 0 , 2 3 2 0 1 3 1 2 1 1 2 1 2 1 2 0 0 2 -> 0 3 3 2 1 2 2 1 2 1 2 1 1 0 2 0 1 2 , 2 3 2 0 1 2 2 0 3 2 1 1 1 2 1 3 0 1 -> 2 1 3 2 1 2 1 2 0 3 2 2 3 1 0 1 0 1 , 2 1 3 2 2 3 2 0 2 0 1 1 1 1 3 3 0 1 -> 2 2 1 1 3 0 0 2 0 1 3 3 1 3 1 2 2 1 , 2 2 0 1 0 1 0 2 3 2 0 1 0 0 1 1 0 2 -> 0 1 2 0 0 1 0 2 2 1 3 0 1 0 2 1 0 2 , 2 2 0 1 3 0 2 1 1 1 2 2 0 3 2 2 0 1 -> 2 2 1 1 2 2 2 2 0 2 3 1 3 0 1 0 0 1 , 2 2 3 0 0 0 2 2 0 2 0 0 2 1 3 1 2 2 -> 2 0 0 3 0 3 2 1 2 2 2 1 2 0 2 0 0 2 , 2 2 3 3 2 2 0 0 1 0 2 3 1 3 1 2 0 0 -> 2 0 3 3 2 2 0 2 0 3 2 0 3 1 2 1 1 0 , 2 2 1 0 0 0 2 0 3 0 2 3 1 3 1 3 1 1 -> 0 1 1 0 3 3 0 2 3 2 1 0 3 0 2 1 2 1 , 2 2 1 0 1 3 2 3 1 1 1 1 3 1 3 0 2 1 -> 2 0 1 1 2 3 3 1 3 2 1 1 3 1 0 1 2 1 , 2 2 2 0 3 1 3 2 3 3 3 2 0 2 0 0 2 0 -> 2 2 2 3 2 1 3 2 3 3 0 0 2 3 2 0 0 0 , 0 3 1 2 ->= 0 3 1 2 } The system was reversed. After renaming modulo { 0->0, 1->1, 2->2, 3->3 }, it remains to prove termination of the 81-rule system { 0 1 0 2 2 1 3 0 2 0 1 1 0 2 1 0 0 0 -> 0 0 0 0 0 1 2 2 0 0 1 1 1 2 1 2 3 0 , 2 0 3 2 0 2 0 2 0 1 0 2 3 0 2 0 0 0 -> 2 2 0 2 0 1 2 0 0 2 2 0 3 0 0 3 0 0 , 1 0 0 2 0 2 3 0 0 3 3 2 0 2 0 1 0 0 -> 1 0 0 2 0 1 0 0 2 2 0 2 0 3 3 3 0 0 , 1 1 1 1 0 2 2 1 3 3 1 2 3 2 0 1 0 0 -> 1 1 3 0 2 1 0 1 0 1 2 3 0 1 3 2 1 2 , 0 1 0 3 3 2 2 0 2 1 1 3 1 0 2 1 0 0 -> 0 1 2 0 3 1 0 3 2 0 1 2 2 1 1 3 0 0 , 1 1 0 2 3 1 0 2 2 1 0 3 2 1 3 2 0 0 -> 1 2 3 1 0 0 2 3 0 1 1 3 2 2 0 1 2 0 , 0 1 1 3 0 1 3 0 0 2 3 3 1 1 0 0 3 0 -> 0 1 1 2 0 3 3 0 1 3 1 1 0 0 0 3 3 0 , 2 2 0 1 2 2 3 3 1 1 3 1 0 2 1 0 3 0 -> 2 3 3 0 2 1 2 3 0 1 2 2 1 1 0 1 3 0 , 2 0 2 0 1 0 2 1 3 0 2 0 1 0 2 3 3 0 -> 2 1 2 2 3 0 0 0 1 3 0 3 2 2 1 0 0 0 , 2 2 3 3 1 1 0 2 0 3 2 1 0 1 2 1 3 0 -> 2 0 3 0 0 1 2 2 1 3 3 2 1 2 1 1 3 0 , 3 1 0 0 3 2 2 3 1 0 2 3 1 1 2 1 3 0 -> 3 1 1 2 3 1 2 3 0 2 1 0 3 0 3 1 2 0 , 1 3 1 2 2 2 3 3 3 2 2 2 2 0 2 3 1 0 -> 1 3 0 1 2 2 2 3 2 3 0 3 2 2 2 1 2 3 , 1 3 0 3 3 2 2 0 3 0 2 2 3 2 0 1 1 0 -> 1 3 2 3 0 3 2 0 0 3 2 1 2 0 1 3 2 0 , 0 3 3 3 3 2 2 0 2 3 0 0 2 3 0 0 2 0 -> 0 3 3 2 0 3 3 2 3 0 3 2 0 0 2 0 2 0 , 0 1 0 1 3 1 3 0 0 0 2 0 3 2 0 0 2 0 -> 0 1 2 0 0 3 0 0 2 1 1 0 3 3 0 0 2 0 , 0 1 1 1 0 3 1 0 1 1 0 0 0 0 1 0 2 0 -> 0 0 0 0 1 0 0 1 1 2 0 0 1 3 1 1 1 0 , 2 0 3 1 0 1 2 0 0 2 3 0 2 0 2 0 2 0 -> 2 0 2 0 0 2 0 1 2 0 0 3 0 0 2 1 2 3 , 3 2 0 1 3 2 1 1 0 2 3 0 2 3 2 0 2 0 -> 3 2 1 3 2 1 3 0 2 1 2 0 0 2 0 2 0 3 , 1 0 1 0 2 2 3 1 2 1 0 0 1 1 2 0 2 0 -> 1 2 1 2 1 2 1 0 0 0 1 1 0 0 3 2 2 0 , 1 1 1 2 2 1 3 1 2 2 1 3 1 2 1 3 2 0 -> 1 1 1 2 1 1 2 3 2 2 0 1 3 2 1 2 1 3 , 3 3 1 1 3 3 1 0 0 3 3 3 0 3 0 1 2 0 -> 3 3 1 3 0 3 3 0 0 1 3 1 3 0 3 1 2 0 , 0 0 2 0 2 1 2 0 1 0 2 1 1 3 3 3 0 3 -> 0 0 3 1 0 1 2 0 1 2 0 3 3 2 0 1 2 3 , 1 1 3 0 1 0 1 3 1 2 2 0 1 1 1 3 0 3 -> 1 2 1 2 1 0 0 3 3 1 1 0 1 3 1 1 0 3 , 2 2 1 1 0 3 2 2 1 3 1 0 2 2 0 2 0 3 -> 2 2 1 2 0 0 2 1 1 0 3 2 2 1 3 2 0 3 , 2 2 1 1 3 2 2 3 3 2 3 2 0 2 3 0 3 3 -> 0 3 1 2 1 2 3 2 3 2 3 2 0 3 2 3 2 3 , 0 1 0 0 3 2 2 3 1 1 1 2 3 1 0 3 3 3 -> 0 1 3 0 0 2 1 1 2 3 3 1 3 1 2 3 0 3 , 0 3 2 2 0 1 1 1 1 1 3 1 3 3 3 3 3 3 -> 1 3 3 1 0 3 0 1 3 3 1 3 2 1 1 2 3 3 , 2 3 1 0 0 2 2 0 3 2 3 1 3 0 1 3 3 3 -> 2 3 2 3 0 0 1 2 0 3 2 0 1 1 3 3 3 3 , 3 2 2 2 2 3 0 3 1 1 0 2 0 2 1 3 3 3 -> 3 0 2 3 2 3 0 1 2 2 3 2 1 3 0 2 1 3 , 2 3 3 3 2 1 0 3 3 2 3 0 3 0 2 3 3 3 -> 2 3 3 1 3 2 3 0 3 0 3 3 0 2 3 2 3 3 , 3 1 0 1 3 0 0 0 2 2 2 0 1 0 2 3 3 3 -> 3 1 2 0 3 0 2 3 0 0 2 0 3 0 1 2 1 3 , 3 1 1 1 0 0 0 2 3 1 0 2 1 1 1 1 3 3 -> 3 1 1 1 1 0 3 2 1 0 0 1 3 0 2 1 1 3 , 3 1 0 2 1 2 0 3 2 0 3 1 3 1 0 2 3 3 -> 3 1 0 1 1 3 0 3 3 0 2 2 2 2 1 0 3 3 , 2 3 1 2 2 2 1 0 2 3 1 0 1 3 3 2 3 3 -> 2 3 0 2 1 1 2 3 3 1 3 2 2 3 1 2 0 3 , 3 3 2 1 3 3 0 0 2 3 3 3 3 0 1 0 2 3 -> 3 3 0 0 3 3 0 2 3 2 1 2 3 1 3 3 0 3 , 1 1 3 3 2 2 1 2 0 3 3 2 3 3 1 0 2 3 -> 1 1 3 2 3 3 3 0 3 3 1 2 2 2 0 2 1 3 , 1 2 2 2 1 0 3 3 1 1 3 0 2 3 1 0 2 3 -> 1 2 1 0 3 0 0 3 2 1 2 3 1 2 3 3 1 2 , 3 3 3 3 3 3 1 0 3 3 1 3 2 3 1 0 2 3 -> 3 3 1 2 1 3 0 3 3 1 3 0 3 3 3 3 2 3 , 1 1 1 2 2 1 3 0 2 0 0 1 2 3 1 0 2 3 -> 1 2 1 0 1 2 1 1 2 2 3 0 1 0 0 3 2 3 , 2 1 1 1 3 0 2 2 0 0 0 2 3 0 2 3 2 3 -> 2 0 2 3 0 1 2 1 2 3 2 0 3 2 1 0 0 3 , 3 2 3 3 1 3 1 0 2 3 0 3 1 0 2 3 2 3 -> 3 2 2 3 3 3 1 3 2 0 1 1 2 3 0 3 0 3 , 2 1 2 1 1 3 2 3 3 1 0 3 2 2 3 2 2 3 -> 2 1 2 2 1 3 2 2 1 3 2 0 3 3 1 3 2 3 , 2 0 3 2 3 0 1 3 0 1 0 1 2 0 2 0 0 1 -> 2 0 3 3 0 0 1 3 0 2 1 1 2 0 2 0 0 1 , 1 2 1 0 3 3 1 0 2 3 1 0 2 3 2 3 0 1 -> 1 2 0 1 3 0 0 1 3 2 1 2 3 1 3 3 0 2 , 0 0 1 0 2 1 1 0 3 2 0 0 0 2 3 1 0 1 -> 0 0 1 3 0 2 0 0 2 0 1 3 1 0 1 2 0 1 , 0 0 0 1 0 2 3 1 1 1 0 1 0 3 1 1 0 1 -> 0 1 1 1 1 1 1 3 0 2 1 0 0 0 3 0 0 1 , 2 2 2 2 0 2 0 2 1 3 2 3 1 1 1 1 0 1 -> 2 2 2 1 1 1 1 2 3 0 2 2 3 1 0 2 0 1 , 0 3 2 0 2 2 1 3 1 3 1 2 0 0 2 3 3 1 -> 1 3 2 0 2 2 0 0 1 3 3 0 2 1 2 3 3 1 , 3 3 3 1 1 0 2 3 1 1 3 1 0 3 1 1 3 1 -> 3 3 1 3 3 3 1 0 3 1 1 2 1 1 3 1 0 1 , 2 2 3 2 1 1 2 2 3 1 0 1 0 1 1 1 3 1 -> 1 1 2 3 3 0 1 1 0 1 2 2 1 2 1 2 3 1 , 1 0 1 0 0 3 0 1 2 0 2 0 1 1 1 1 3 1 -> 1 0 2 0 3 1 1 0 1 0 3 0 0 1 1 2 1 1 , 1 3 3 2 0 0 0 2 3 1 1 3 1 2 1 2 3 1 -> 1 2 3 0 1 3 2 3 1 1 2 3 3 0 0 1 2 1 , 1 2 1 1 3 1 2 3 0 1 2 2 1 0 3 0 1 1 -> 1 2 3 0 0 0 1 3 2 1 2 1 1 1 2 3 1 1 , 3 0 3 3 1 0 3 1 0 3 1 0 2 3 0 3 1 1 -> 3 0 1 0 1 3 1 3 3 0 2 3 0 3 3 0 1 1 , 3 1 0 2 2 3 0 1 1 0 3 0 2 3 1 3 1 1 -> 3 0 0 2 3 0 0 2 1 3 3 1 1 2 3 1 1 1 , 1 2 1 3 2 2 0 2 1 0 2 3 2 0 0 2 1 1 -> 1 2 1 1 2 3 2 2 0 2 0 0 2 1 2 1 0 3 , 3 2 3 1 2 0 3 2 0 1 3 1 0 3 3 0 2 1 -> 3 2 0 1 3 0 0 1 2 1 3 2 2 3 3 3 0 1 , 0 1 3 2 1 0 1 0 0 2 0 0 1 3 1 0 2 1 -> 0 1 1 2 1 0 3 2 0 0 0 1 1 0 3 0 1 2 , 1 3 2 2 3 1 1 0 1 0 0 1 3 3 3 3 2 1 -> 1 3 3 0 0 3 1 3 1 3 2 3 1 0 2 1 2 1 , 2 2 2 2 3 2 0 2 0 2 1 1 3 0 0 0 0 2 -> 2 2 2 2 3 3 0 0 0 2 1 2 0 0 0 2 1 2 , 0 3 3 2 3 1 3 2 0 2 0 0 2 1 3 3 0 2 -> 0 3 3 3 1 2 0 3 0 2 0 3 2 2 1 3 0 2 , 1 2 1 2 0 0 2 3 1 2 3 2 3 3 3 1 0 2 -> 1 2 3 0 2 2 1 2 3 3 3 0 1 1 3 0 2 2 , 0 3 0 1 3 0 3 1 0 1 3 1 0 0 1 1 0 2 -> 0 3 0 1 1 2 1 3 1 3 0 0 1 0 1 0 3 0 , 3 1 3 1 1 1 2 0 0 0 2 2 1 3 2 1 0 2 -> 3 1 3 1 3 0 1 0 1 0 2 1 2 1 2 2 0 2 , 0 0 1 2 0 2 1 1 2 2 3 0 3 1 2 1 0 2 -> 0 2 0 0 1 3 0 1 1 2 1 3 2 2 1 2 0 2 , 2 0 3 3 2 3 2 2 0 2 0 3 2 2 0 2 0 2 -> 2 0 0 2 2 2 3 0 0 3 2 2 2 2 3 2 3 0 , 0 0 0 0 2 1 0 1 0 2 3 2 0 0 3 2 0 2 -> 0 2 2 1 2 2 0 0 0 0 0 3 3 2 1 0 0 0 , 2 1 3 0 3 2 1 0 2 2 2 3 1 1 3 0 3 2 -> 2 3 2 2 3 2 0 0 1 1 2 1 1 3 3 0 3 2 , 0 0 1 3 3 1 2 2 3 1 0 3 2 2 1 1 3 2 -> 0 0 1 3 2 1 2 3 2 3 3 1 1 1 0 2 3 2 , 0 0 2 0 0 2 3 1 1 1 1 1 0 1 0 2 3 2 -> 0 0 1 1 0 1 1 2 0 0 2 3 2 0 1 2 3 1 , 2 0 0 2 1 2 1 2 1 1 2 1 3 1 0 2 3 2 -> 2 1 0 2 0 1 1 2 1 2 1 2 2 1 2 3 3 0 , 1 0 3 1 2 1 1 1 2 3 0 2 2 1 0 2 3 2 -> 1 0 1 0 1 3 2 2 3 0 2 1 2 1 2 3 1 2 , 1 0 3 3 1 1 1 1 0 2 0 2 3 2 2 3 1 2 -> 1 2 2 1 3 1 3 3 1 0 2 0 0 3 1 1 2 2 , 2 0 1 1 0 0 1 0 2 3 2 0 1 0 1 0 2 2 -> 2 0 1 2 0 1 0 3 1 2 2 0 1 0 0 2 1 0 , 1 0 2 2 3 0 2 2 1 1 1 2 0 3 1 0 2 2 -> 1 0 0 1 0 3 1 3 2 0 2 2 2 2 1 1 2 2 , 2 2 1 3 1 2 0 0 2 0 2 2 0 0 0 3 2 2 -> 2 0 0 2 0 2 1 2 2 2 1 2 3 0 3 0 0 2 , 0 0 2 1 3 1 3 2 0 1 0 0 2 2 3 3 2 2 -> 0 1 1 2 1 3 0 2 3 0 2 0 2 2 3 3 0 2 , 1 1 3 1 3 1 3 2 0 3 0 2 0 0 0 1 2 2 -> 1 2 1 2 0 3 0 1 2 3 2 0 3 3 0 1 1 0 , 1 2 0 3 1 3 1 1 1 1 3 2 3 1 0 1 2 2 -> 1 2 1 0 1 3 1 1 2 3 1 3 3 2 1 1 0 2 , 0 2 0 0 2 0 2 3 3 3 2 3 1 3 0 2 2 2 -> 0 0 0 2 3 2 0 0 3 3 2 3 1 2 3 2 2 2 , 2 1 3 0 ->= 2 1 3 0 } Applying context closure of depth 1 in the following form: System R over Sigma maps to { fold(xly) -> fold(xry) | l -> r in R, x,y in Sigma } over Sigma^2, where fold(a_1...a_n) = (a_1,a_2)...(a_{n-1},a_{n}) After renaming modulo { [0, 0]->0, [0, 1]->1, [1, 0]->2, [0, 2]->3, [2, 2]->4, [2, 1]->5, [1, 3]->6, [3, 0]->7, [2, 0]->8, [1, 1]->9, [1, 2]->10, [2, 3]->11, [0, 3]->12, [3, 2]->13, [3, 3]->14, [3, 1]->15 }, it remains to prove termination of the 1296-rule system { 0 1 2 3 4 5 6 7 3 8 1 9 2 3 5 2 0 0 0 -> 0 0 0 0 0 1 10 4 8 0 1 9 9 10 5 10 11 7 0 , 3 8 12 13 8 3 8 3 8 1 2 3 11 7 3 8 0 0 0 -> 3 4 8 3 8 1 10 8 0 3 4 8 12 7 0 12 7 0 0 , 1 2 0 3 8 3 11 7 0 12 14 13 8 3 8 1 2 0 0 -> 1 2 0 3 8 1 2 0 3 4 8 3 8 12 14 14 7 0 0 , 1 9 9 9 2 3 4 5 6 14 15 10 11 13 8 1 2 0 0 -> 1 9 6 7 3 5 2 1 2 1 10 11 7 1 6 13 5 10 8 , 0 1 2 12 14 13 4 8 3 5 9 6 15 2 3 5 2 0 0 -> 0 1 10 8 12 15 2 12 13 8 1 10 4 5 9 6 7 0 0 , 1 9 2 3 11 15 2 3 4 5 2 12 13 5 6 13 8 0 0 -> 1 10 11 15 2 0 3 11 7 1 9 6 13 4 8 1 10 8 0 , 0 1 9 6 7 1 6 7 0 3 11 14 15 9 2 0 12 7 0 -> 0 1 9 10 8 12 14 7 1 6 15 9 2 0 0 12 14 7 0 , 3 4 8 1 10 4 11 14 15 9 6 15 2 3 5 2 12 7 0 -> 3 11 14 7 3 5 10 11 7 1 10 4 5 9 2 1 6 7 0 , 3 8 3 8 1 2 3 5 6 7 3 8 1 2 3 11 14 7 0 -> 3 5 10 4 11 7 0 0 1 6 7 12 13 4 5 2 0 0 0 , 3 4 11 14 15 9 2 3 8 12 13 5 2 1 10 5 6 7 0 -> 3 8 12 7 0 1 10 4 5 6 14 13 5 10 5 9 6 7 0 , 12 15 2 0 12 13 4 11 15 2 3 11 15 9 10 5 6 7 0 -> 12 15 9 10 11 15 10 11 7 3 5 2 12 7 12 15 10 8 0 , 1 6 15 10 4 4 11 14 14 13 4 4 4 8 3 11 15 2 0 -> 1 6 7 1 10 4 4 11 13 11 7 12 13 4 4 5 10 11 7 , 1 6 7 12 14 13 4 8 12 7 3 4 11 13 8 1 9 2 0 -> 1 6 13 11 7 12 13 8 0 12 13 5 10 8 1 6 13 8 0 , 0 12 14 14 14 13 4 8 3 11 7 0 3 11 7 0 3 8 0 -> 0 12 14 13 8 12 14 13 11 7 12 13 8 0 3 8 3 8 0 , 0 1 2 1 6 15 6 7 0 0 3 8 12 13 8 0 3 8 0 -> 0 1 10 8 0 12 7 0 3 5 9 2 12 14 7 0 3 8 0 , 0 1 9 9 2 12 15 2 1 9 2 0 0 0 1 2 3 8 0 -> 0 0 0 0 1 2 0 1 9 10 8 0 1 6 15 9 9 2 0 , 3 8 12 15 2 1 10 8 0 3 11 7 3 8 3 8 3 8 0 -> 3 8 3 8 0 3 8 1 10 8 0 12 7 0 3 5 10 11 7 , 12 13 8 1 6 13 5 9 2 3 11 7 3 11 13 8 3 8 0 -> 12 13 5 6 13 5 6 7 3 5 10 8 0 3 8 3 8 12 7 , 1 2 1 2 3 4 11 15 10 5 2 0 1 9 10 8 3 8 0 -> 1 10 5 10 5 10 5 2 0 0 1 9 2 0 12 13 4 8 0 , 1 9 9 10 4 5 6 15 10 4 5 6 15 10 5 6 13 8 0 -> 1 9 9 10 5 9 10 11 13 4 8 1 6 13 5 10 5 6 7 , 12 14 15 9 6 14 15 2 0 12 14 14 7 12 7 1 10 8 0 -> 12 14 15 6 7 12 14 7 0 1 6 15 6 7 12 15 10 8 0 , 0 0 3 8 3 5 10 8 1 2 3 5 9 6 14 14 7 12 7 -> 0 0 12 15 2 1 10 8 1 10 8 12 14 13 8 1 10 11 7 , 1 9 6 7 1 2 1 6 15 10 4 8 1 9 9 6 7 12 7 -> 1 10 5 10 5 2 0 12 14 15 9 2 1 6 15 9 2 12 7 , 3 4 5 9 2 12 13 4 5 6 15 2 3 4 8 3 8 12 7 -> 3 4 5 10 8 0 3 5 9 2 12 13 4 5 6 13 8 12 7 , 3 4 5 9 6 13 4 11 14 13 11 13 8 3 11 7 12 14 7 -> 0 12 15 10 5 10 11 13 11 13 11 13 8 12 13 11 13 11 7 , 0 1 2 0 12 13 4 11 15 9 9 10 11 15 2 12 14 14 7 -> 0 1 6 7 0 3 5 9 10 11 14 15 6 15 10 11 7 12 7 , 0 12 13 4 8 1 9 9 9 9 6 15 6 14 14 14 14 14 7 -> 1 6 14 15 2 12 7 1 6 14 15 6 13 5 9 10 11 14 7 , 3 11 15 2 0 3 4 8 12 13 11 15 6 7 1 6 14 14 7 -> 3 11 13 11 7 0 1 10 8 12 13 8 1 9 6 14 14 14 7 , 12 13 4 4 4 11 7 12 15 9 2 3 8 3 5 6 14 14 7 -> 12 7 3 11 13 11 7 1 10 4 11 13 5 6 7 3 5 6 7 , 3 11 14 14 13 5 2 12 14 13 11 7 12 7 3 11 14 14 7 -> 3 11 14 15 6 13 11 7 12 7 12 14 7 3 11 13 11 14 7 , 12 15 2 1 6 7 0 0 3 4 4 8 1 2 3 11 14 14 7 -> 12 15 10 8 12 7 3 11 7 0 3 8 12 7 1 10 5 6 7 , 12 15 9 9 2 0 0 3 11 15 2 3 5 9 9 9 6 14 7 -> 12 15 9 9 9 2 12 13 5 2 0 1 6 7 3 5 9 6 7 , 12 15 2 3 5 10 8 12 13 8 12 15 6 15 2 3 11 14 7 -> 12 15 2 1 9 6 7 12 14 7 3 4 4 4 5 2 12 14 7 , 3 11 15 10 4 4 5 2 3 11 15 2 1 6 14 13 11 14 7 -> 3 11 7 3 5 9 10 11 14 15 6 13 4 11 15 10 8 12 7 , 12 14 13 5 6 14 7 0 3 11 14 14 14 7 1 2 3 11 7 -> 12 14 7 0 12 14 7 3 11 13 5 10 11 15 6 14 7 12 7 , 1 9 6 14 13 4 5 10 8 12 14 13 11 14 15 2 3 11 7 -> 1 9 6 13 11 14 14 7 12 14 15 10 4 4 8 3 5 6 7 , 1 10 4 4 5 2 12 14 15 9 6 7 3 11 15 2 3 11 7 -> 1 10 5 2 12 7 0 12 13 5 10 11 15 10 11 14 15 10 8 , 12 14 14 14 14 14 15 2 12 14 15 6 13 11 15 2 3 11 7 -> 12 14 15 10 5 6 7 12 14 15 6 7 12 14 14 14 13 11 7 , 1 9 9 10 4 5 6 7 3 8 0 1 10 11 15 2 3 11 7 -> 1 10 5 2 1 10 5 9 10 4 11 7 1 2 0 12 13 11 7 , 3 5 9 9 6 7 3 4 8 0 0 3 11 7 3 11 13 11 7 -> 3 8 3 11 7 1 10 5 10 11 13 8 12 13 5 2 0 12 7 , 12 13 11 14 15 6 15 2 3 11 7 12 15 2 3 11 13 11 7 -> 12 13 4 11 14 14 15 6 13 8 1 9 10 11 7 12 7 12 7 , 3 5 10 5 9 6 13 11 14 15 2 12 13 4 11 13 4 11 7 -> 3 5 10 4 5 6 13 4 5 6 13 8 12 14 15 6 13 11 7 , 3 8 12 13 11 7 1 6 7 1 2 1 10 8 3 8 0 1 2 -> 3 8 12 14 7 0 1 6 7 3 5 9 10 8 3 8 0 1 2 , 1 10 5 2 12 14 15 2 3 11 15 2 3 11 13 11 7 1 2 -> 1 10 8 1 6 7 0 1 6 13 5 10 11 15 6 14 7 3 8 , 0 0 1 2 3 5 9 2 12 13 8 0 0 3 11 15 2 1 2 -> 0 0 1 6 7 3 8 0 3 8 1 6 15 2 1 10 8 1 2 , 0 0 0 1 2 3 11 15 9 9 2 1 2 12 15 9 2 1 2 -> 0 1 9 9 9 9 9 6 7 3 5 2 0 0 12 7 0 1 2 , 3 4 4 4 8 3 8 3 5 6 13 11 15 9 9 9 2 1 2 -> 3 4 4 5 9 9 9 10 11 7 3 4 11 15 2 3 8 1 2 , 0 12 13 8 3 4 5 6 15 6 15 10 8 0 3 11 14 15 2 -> 1 6 13 8 3 4 8 0 1 6 14 7 3 5 10 11 14 15 2 , 12 14 14 15 9 2 3 11 15 9 6 15 2 12 15 9 6 15 2 -> 12 14 15 6 14 14 15 2 12 15 9 10 5 9 6 15 2 1 2 , 3 4 11 13 5 9 10 4 11 15 2 1 2 1 9 9 6 15 2 -> 1 9 10 11 14 7 1 9 2 1 10 4 5 10 5 10 11 15 2 , 1 2 1 2 0 12 7 1 10 8 3 8 1 9 9 9 6 15 2 -> 1 2 3 8 12 15 9 2 1 2 12 7 0 1 9 10 5 9 2 , 1 6 14 13 8 0 0 3 11 15 9 6 15 10 5 10 11 15 2 -> 1 10 11 7 1 6 13 11 15 9 10 11 14 7 0 1 10 5 2 , 1 10 5 9 6 15 10 11 7 1 10 4 5 2 12 7 1 9 2 -> 1 10 11 7 0 0 1 6 13 5 10 5 9 9 10 11 15 9 2 , 12 7 12 14 15 2 12 15 2 12 15 2 3 11 7 12 15 9 2 -> 12 7 1 2 1 6 15 6 14 7 3 11 7 12 14 7 1 9 2 , 12 15 2 3 4 11 7 1 9 2 12 7 3 11 15 6 15 9 2 -> 12 7 0 3 11 7 0 3 5 6 14 15 9 10 11 15 9 9 2 , 1 10 5 6 13 4 8 3 5 2 3 11 13 8 0 3 5 9 2 -> 1 10 5 9 10 11 13 4 8 3 8 0 3 5 10 5 2 12 7 , 12 13 11 15 10 8 12 13 8 1 6 15 2 12 14 7 3 5 2 -> 12 13 8 1 6 7 0 1 10 5 6 13 4 11 14 14 7 1 2 , 0 1 6 13 5 2 1 2 0 3 8 0 1 6 15 2 3 5 2 -> 0 1 9 10 5 2 12 13 8 0 0 1 9 2 12 7 1 10 8 , 1 6 13 4 11 15 9 2 1 2 0 1 6 14 14 14 13 5 2 -> 1 6 14 7 0 12 15 6 15 6 13 11 15 2 3 5 10 5 2 , 3 4 4 4 11 13 8 3 8 3 5 9 6 7 0 0 0 3 8 -> 3 4 4 4 11 14 7 0 0 3 5 10 8 0 0 3 5 10 8 , 0 12 14 13 11 15 6 13 8 3 8 0 3 5 6 14 7 3 8 -> 0 12 14 14 15 10 8 12 7 3 8 12 13 4 5 6 7 3 8 , 1 10 5 10 8 0 3 11 15 10 11 13 11 14 14 15 2 3 8 -> 1 10 11 7 3 4 5 10 11 14 14 7 1 9 6 7 3 4 8 , 0 12 7 1 6 7 12 15 2 1 6 15 2 0 1 9 2 3 8 -> 0 12 7 1 9 10 5 6 15 6 7 0 1 2 1 2 12 7 0 , 12 15 6 15 9 9 10 8 0 0 3 4 5 6 13 5 2 3 8 -> 12 15 6 15 6 7 1 2 1 2 3 5 10 5 10 4 8 3 8 , 0 0 1 10 8 3 5 9 10 4 11 7 12 15 10 5 2 3 8 -> 0 3 8 0 1 6 7 1 9 10 5 6 13 4 5 10 8 3 8 , 3 8 12 14 13 11 13 4 8 3 8 12 13 4 8 3 8 3 8 -> 3 8 0 3 4 4 11 7 0 12 13 4 4 4 11 13 11 7 0 , 0 0 0 0 3 5 2 1 2 3 11 13 8 0 12 13 8 3 8 -> 0 3 4 5 10 4 8 0 0 0 0 12 14 13 5 2 0 0 0 , 3 5 6 7 12 13 5 2 3 4 4 11 15 9 6 7 12 13 8 -> 3 11 13 4 11 13 8 0 1 9 10 5 9 6 14 7 12 13 8 , 0 0 1 6 14 15 10 4 11 15 2 12 13 4 5 9 6 13 8 -> 0 0 1 6 13 5 10 11 13 11 14 15 9 9 2 3 11 13 8 , 0 0 3 8 0 3 11 15 9 9 9 9 2 1 2 3 11 13 8 -> 0 0 1 9 2 1 9 10 8 0 3 11 13 8 1 10 11 15 2 , 3 8 0 3 5 10 5 10 5 9 10 5 6 15 2 3 11 13 8 -> 3 5 2 3 8 1 9 10 5 10 5 10 4 5 10 11 14 7 0 , 1 2 12 15 10 5 9 9 10 11 7 3 4 5 2 3 11 13 8 -> 1 2 1 2 1 6 13 4 11 7 3 5 10 5 10 11 15 10 8 , 1 2 12 14 15 9 9 9 2 3 8 3 11 13 4 11 15 10 8 -> 1 10 4 5 6 15 6 14 15 2 3 8 0 12 15 9 10 4 8 , 3 8 1 9 2 0 1 2 3 11 13 8 1 2 1 2 3 4 8 -> 3 8 1 10 8 1 2 12 15 10 4 8 1 2 0 3 5 2 0 , 1 2 3 4 11 7 3 4 5 9 9 10 8 12 15 2 3 4 8 -> 1 2 0 1 2 12 15 6 13 8 3 4 4 4 5 9 10 4 8 , 3 4 5 6 15 10 8 0 3 8 3 4 8 0 0 12 13 4 8 -> 3 8 0 3 8 3 5 10 4 4 5 10 11 7 12 7 0 3 8 , 0 0 3 5 6 15 6 13 8 1 2 0 3 4 11 14 13 4 8 -> 0 1 9 10 5 6 7 3 11 7 3 8 3 4 11 14 7 3 8 , 1 9 6 15 6 15 6 13 8 12 7 3 8 0 0 1 10 4 8 -> 1 10 5 10 8 12 7 1 10 11 13 8 12 14 7 1 9 2 0 , 1 10 8 12 15 6 15 9 9 9 6 13 11 15 2 1 10 4 8 -> 1 10 5 2 1 6 15 9 10 11 15 6 14 13 5 9 2 3 8 , 0 3 8 0 3 8 3 11 14 14 13 11 15 6 7 3 4 4 8 -> 0 0 0 3 11 13 8 0 12 14 13 11 15 10 11 13 4 4 8 , 3 5 6 7 0 ->= 3 5 6 7 0 , 0 1 2 3 4 5 6 7 3 8 1 9 2 3 5 2 0 0 1 -> 0 0 0 0 0 1 10 4 8 0 1 9 9 10 5 10 11 7 1 , 3 8 12 13 8 3 8 3 8 1 2 3 11 7 3 8 0 0 1 -> 3 4 8 3 8 1 10 8 0 3 4 8 12 7 0 12 7 0 1 , 1 2 0 3 8 3 11 7 0 12 14 13 8 3 8 1 2 0 1 -> 1 2 0 3 8 1 2 0 3 4 8 3 8 12 14 14 7 0 1 , 1 9 9 9 2 3 4 5 6 14 15 10 11 13 8 1 2 0 1 -> 1 9 6 7 3 5 2 1 2 1 10 11 7 1 6 13 5 10 5 , 0 1 2 12 14 13 4 8 3 5 9 6 15 2 3 5 2 0 1 -> 0 1 10 8 12 15 2 12 13 8 1 10 4 5 9 6 7 0 1 , 1 9 2 3 11 15 2 3 4 5 2 12 13 5 6 13 8 0 1 -> 1 10 11 15 2 0 3 11 7 1 9 6 13 4 8 1 10 8 1 , 0 1 9 6 7 1 6 7 0 3 11 14 15 9 2 0 12 7 1 -> 0 1 9 10 8 12 14 7 1 6 15 9 2 0 0 12 14 7 1 , 3 4 8 1 10 4 11 14 15 9 6 15 2 3 5 2 12 7 1 -> 3 11 14 7 3 5 10 11 7 1 10 4 5 9 2 1 6 7 1 , 3 8 3 8 1 2 3 5 6 7 3 8 1 2 3 11 14 7 1 -> 3 5 10 4 11 7 0 0 1 6 7 12 13 4 5 2 0 0 1 , 3 4 11 14 15 9 2 3 8 12 13 5 2 1 10 5 6 7 1 -> 3 8 12 7 0 1 10 4 5 6 14 13 5 10 5 9 6 7 1 , 12 15 2 0 12 13 4 11 15 2 3 11 15 9 10 5 6 7 1 -> 12 15 9 10 11 15 10 11 7 3 5 2 12 7 12 15 10 8 1 , 1 6 15 10 4 4 11 14 14 13 4 4 4 8 3 11 15 2 1 -> 1 6 7 1 10 4 4 11 13 11 7 12 13 4 4 5 10 11 15 , 1 6 7 12 14 13 4 8 12 7 3 4 11 13 8 1 9 2 1 -> 1 6 13 11 7 12 13 8 0 12 13 5 10 8 1 6 13 8 1 , 0 12 14 14 14 13 4 8 3 11 7 0 3 11 7 0 3 8 1 -> 0 12 14 13 8 12 14 13 11 7 12 13 8 0 3 8 3 8 1 , 0 1 2 1 6 15 6 7 0 0 3 8 12 13 8 0 3 8 1 -> 0 1 10 8 0 12 7 0 3 5 9 2 12 14 7 0 3 8 1 , 0 1 9 9 2 12 15 2 1 9 2 0 0 0 1 2 3 8 1 -> 0 0 0 0 1 2 0 1 9 10 8 0 1 6 15 9 9 2 1 , 3 8 12 15 2 1 10 8 0 3 11 7 3 8 3 8 3 8 1 -> 3 8 3 8 0 3 8 1 10 8 0 12 7 0 3 5 10 11 15 , 12 13 8 1 6 13 5 9 2 3 11 7 3 11 13 8 3 8 1 -> 12 13 5 6 13 5 6 7 3 5 10 8 0 3 8 3 8 12 15 , 1 2 1 2 3 4 11 15 10 5 2 0 1 9 10 8 3 8 1 -> 1 10 5 10 5 10 5 2 0 0 1 9 2 0 12 13 4 8 1 , 1 9 9 10 4 5 6 15 10 4 5 6 15 10 5 6 13 8 1 -> 1 9 9 10 5 9 10 11 13 4 8 1 6 13 5 10 5 6 15 , 12 14 15 9 6 14 15 2 0 12 14 14 7 12 7 1 10 8 1 -> 12 14 15 6 7 12 14 7 0 1 6 15 6 7 12 15 10 8 1 , 0 0 3 8 3 5 10 8 1 2 3 5 9 6 14 14 7 12 15 -> 0 0 12 15 2 1 10 8 1 10 8 12 14 13 8 1 10 11 15 , 1 9 6 7 1 2 1 6 15 10 4 8 1 9 9 6 7 12 15 -> 1 10 5 10 5 2 0 12 14 15 9 2 1 6 15 9 2 12 15 , 3 4 5 9 2 12 13 4 5 6 15 2 3 4 8 3 8 12 15 -> 3 4 5 10 8 0 3 5 9 2 12 13 4 5 6 13 8 12 15 , 3 4 5 9 6 13 4 11 14 13 11 13 8 3 11 7 12 14 15 -> 0 12 15 10 5 10 11 13 11 13 11 13 8 12 13 11 13 11 15 , 0 1 2 0 12 13 4 11 15 9 9 10 11 15 2 12 14 14 15 -> 0 1 6 7 0 3 5 9 10 11 14 15 6 15 10 11 7 12 15 , 0 12 13 4 8 1 9 9 9 9 6 15 6 14 14 14 14 14 15 -> 1 6 14 15 2 12 7 1 6 14 15 6 13 5 9 10 11 14 15 , 3 11 15 2 0 3 4 8 12 13 11 15 6 7 1 6 14 14 15 -> 3 11 13 11 7 0 1 10 8 12 13 8 1 9 6 14 14 14 15 , 12 13 4 4 4 11 7 12 15 9 2 3 8 3 5 6 14 14 15 -> 12 7 3 11 13 11 7 1 10 4 11 13 5 6 7 3 5 6 15 , 3 11 14 14 13 5 2 12 14 13 11 7 12 7 3 11 14 14 15 -> 3 11 14 15 6 13 11 7 12 7 12 14 7 3 11 13 11 14 15 , 12 15 2 1 6 7 0 0 3 4 4 8 1 2 3 11 14 14 15 -> 12 15 10 8 12 7 3 11 7 0 3 8 12 7 1 10 5 6 15 , 12 15 9 9 2 0 0 3 11 15 2 3 5 9 9 9 6 14 15 -> 12 15 9 9 9 2 12 13 5 2 0 1 6 7 3 5 9 6 15 , 12 15 2 3 5 10 8 12 13 8 12 15 6 15 2 3 11 14 15 -> 12 15 2 1 9 6 7 12 14 7 3 4 4 4 5 2 12 14 15 , 3 11 15 10 4 4 5 2 3 11 15 2 1 6 14 13 11 14 15 -> 3 11 7 3 5 9 10 11 14 15 6 13 4 11 15 10 8 12 15 , 12 14 13 5 6 14 7 0 3 11 14 14 14 7 1 2 3 11 15 -> 12 14 7 0 12 14 7 3 11 13 5 10 11 15 6 14 7 12 15 , 1 9 6 14 13 4 5 10 8 12 14 13 11 14 15 2 3 11 15 -> 1 9 6 13 11 14 14 7 12 14 15 10 4 4 8 3 5 6 15 , 1 10 4 4 5 2 12 14 15 9 6 7 3 11 15 2 3 11 15 -> 1 10 5 2 12 7 0 12 13 5 10 11 15 10 11 14 15 10 5 , 12 14 14 14 14 14 15 2 12 14 15 6 13 11 15 2 3 11 15 -> 12 14 15 10 5 6 7 12 14 15 6 7 12 14 14 14 13 11 15 , 1 9 9 10 4 5 6 7 3 8 0 1 10 11 15 2 3 11 15 -> 1 10 5 2 1 10 5 9 10 4 11 7 1 2 0 12 13 11 15 , 3 5 9 9 6 7 3 4 8 0 0 3 11 7 3 11 13 11 15 -> 3 8 3 11 7 1 10 5 10 11 13 8 12 13 5 2 0 12 15 , 12 13 11 14 15 6 15 2 3 11 7 12 15 2 3 11 13 11 15 -> 12 13 4 11 14 14 15 6 13 8 1 9 10 11 7 12 7 12 15 , 3 5 10 5 9 6 13 11 14 15 2 12 13 4 11 13 4 11 15 -> 3 5 10 4 5 6 13 4 5 6 13 8 12 14 15 6 13 11 15 , 3 8 12 13 11 7 1 6 7 1 2 1 10 8 3 8 0 1 9 -> 3 8 12 14 7 0 1 6 7 3 5 9 10 8 3 8 0 1 9 , 1 10 5 2 12 14 15 2 3 11 15 2 3 11 13 11 7 1 9 -> 1 10 8 1 6 7 0 1 6 13 5 10 11 15 6 14 7 3 5 , 0 0 1 2 3 5 9 2 12 13 8 0 0 3 11 15 2 1 9 -> 0 0 1 6 7 3 8 0 3 8 1 6 15 2 1 10 8 1 9 , 0 0 0 1 2 3 11 15 9 9 2 1 2 12 15 9 2 1 9 -> 0 1 9 9 9 9 9 6 7 3 5 2 0 0 12 7 0 1 9 , 3 4 4 4 8 3 8 3 5 6 13 11 15 9 9 9 2 1 9 -> 3 4 4 5 9 9 9 10 11 7 3 4 11 15 2 3 8 1 9 , 0 12 13 8 3 4 5 6 15 6 15 10 8 0 3 11 14 15 9 -> 1 6 13 8 3 4 8 0 1 6 14 7 3 5 10 11 14 15 9 , 12 14 14 15 9 2 3 11 15 9 6 15 2 12 15 9 6 15 9 -> 12 14 15 6 14 14 15 2 12 15 9 10 5 9 6 15 2 1 9 , 3 4 11 13 5 9 10 4 11 15 2 1 2 1 9 9 6 15 9 -> 1 9 10 11 14 7 1 9 2 1 10 4 5 10 5 10 11 15 9 , 1 2 1 2 0 12 7 1 10 8 3 8 1 9 9 9 6 15 9 -> 1 2 3 8 12 15 9 2 1 2 12 7 0 1 9 10 5 9 9 , 1 6 14 13 8 0 0 3 11 15 9 6 15 10 5 10 11 15 9 -> 1 10 11 7 1 6 13 11 15 9 10 11 14 7 0 1 10 5 9 , 1 10 5 9 6 15 10 11 7 1 10 4 5 2 12 7 1 9 9 -> 1 10 11 7 0 0 1 6 13 5 10 5 9 9 10 11 15 9 9 , 12 7 12 14 15 2 12 15 2 12 15 2 3 11 7 12 15 9 9 -> 12 7 1 2 1 6 15 6 14 7 3 11 7 12 14 7 1 9 9 , 12 15 2 3 4 11 7 1 9 2 12 7 3 11 15 6 15 9 9 -> 12 7 0 3 11 7 0 3 5 6 14 15 9 10 11 15 9 9 9 , 1 10 5 6 13 4 8 3 5 2 3 11 13 8 0 3 5 9 9 -> 1 10 5 9 10 11 13 4 8 3 8 0 3 5 10 5 2 12 15 , 12 13 11 15 10 8 12 13 8 1 6 15 2 12 14 7 3 5 9 -> 12 13 8 1 6 7 0 1 10 5 6 13 4 11 14 14 7 1 9 , 0 1 6 13 5 2 1 2 0 3 8 0 1 6 15 2 3 5 9 -> 0 1 9 10 5 2 12 13 8 0 0 1 9 2 12 7 1 10 5 , 1 6 13 4 11 15 9 2 1 2 0 1 6 14 14 14 13 5 9 -> 1 6 14 7 0 12 15 6 15 6 13 11 15 2 3 5 10 5 9 , 3 4 4 4 11 13 8 3 8 3 5 9 6 7 0 0 0 3 5 -> 3 4 4 4 11 14 7 0 0 3 5 10 8 0 0 3 5 10 5 , 0 12 14 13 11 15 6 13 8 3 8 0 3 5 6 14 7 3 5 -> 0 12 14 14 15 10 8 12 7 3 8 12 13 4 5 6 7 3 5 , 1 10 5 10 8 0 3 11 15 10 11 13 11 14 14 15 2 3 5 -> 1 10 11 7 3 4 5 10 11 14 14 7 1 9 6 7 3 4 5 , 0 12 7 1 6 7 12 15 2 1 6 15 2 0 1 9 2 3 5 -> 0 12 7 1 9 10 5 6 15 6 7 0 1 2 1 2 12 7 1 , 12 15 6 15 9 9 10 8 0 0 3 4 5 6 13 5 2 3 5 -> 12 15 6 15 6 7 1 2 1 2 3 5 10 5 10 4 8 3 5 , 0 0 1 10 8 3 5 9 10 4 11 7 12 15 10 5 2 3 5 -> 0 3 8 0 1 6 7 1 9 10 5 6 13 4 5 10 8 3 5 , 3 8 12 14 13 11 13 4 8 3 8 12 13 4 8 3 8 3 5 -> 3 8 0 3 4 4 11 7 0 12 13 4 4 4 11 13 11 7 1 , 0 0 0 0 3 5 2 1 2 3 11 13 8 0 12 13 8 3 5 -> 0 3 4 5 10 4 8 0 0 0 0 12 14 13 5 2 0 0 1 , 3 5 6 7 12 13 5 2 3 4 4 11 15 9 6 7 12 13 5 -> 3 11 13 4 11 13 8 0 1 9 10 5 9 6 14 7 12 13 5 , 0 0 1 6 14 15 10 4 11 15 2 12 13 4 5 9 6 13 5 -> 0 0 1 6 13 5 10 11 13 11 14 15 9 9 2 3 11 13 5 , 0 0 3 8 0 3 11 15 9 9 9 9 2 1 2 3 11 13 5 -> 0 0 1 9 2 1 9 10 8 0 3 11 13 8 1 10 11 15 9 , 3 8 0 3 5 10 5 10 5 9 10 5 6 15 2 3 11 13 5 -> 3 5 2 3 8 1 9 10 5 10 5 10 4 5 10 11 14 7 1 , 1 2 12 15 10 5 9 9 10 11 7 3 4 5 2 3 11 13 5 -> 1 2 1 2 1 6 13 4 11 7 3 5 10 5 10 11 15 10 5 , 1 2 12 14 15 9 9 9 2 3 8 3 11 13 4 11 15 10 5 -> 1 10 4 5 6 15 6 14 15 2 3 8 0 12 15 9 10 4 5 , 3 8 1 9 2 0 1 2 3 11 13 8 1 2 1 2 3 4 5 -> 3 8 1 10 8 1 2 12 15 10 4 8 1 2 0 3 5 2 1 , 1 2 3 4 11 7 3 4 5 9 9 10 8 12 15 2 3 4 5 -> 1 2 0 1 2 12 15 6 13 8 3 4 4 4 5 9 10 4 5 , 3 4 5 6 15 10 8 0 3 8 3 4 8 0 0 12 13 4 5 -> 3 8 0 3 8 3 5 10 4 4 5 10 11 7 12 7 0 3 5 , 0 0 3 5 6 15 6 13 8 1 2 0 3 4 11 14 13 4 5 -> 0 1 9 10 5 6 7 3 11 7 3 8 3 4 11 14 7 3 5 , 1 9 6 15 6 15 6 13 8 12 7 3 8 0 0 1 10 4 5 -> 1 10 5 10 8 12 7 1 10 11 13 8 12 14 7 1 9 2 1 , 1 10 8 12 15 6 15 9 9 9 6 13 11 15 2 1 10 4 5 -> 1 10 5 2 1 6 15 9 10 11 15 6 14 13 5 9 2 3 5 , 0 3 8 0 3 8 3 11 14 14 13 11 15 6 7 3 4 4 5 -> 0 0 0 3 11 13 8 0 12 14 13 11 15 10 11 13 4 4 5 , 3 5 6 7 1 ->= 3 5 6 7 1 , 0 1 2 3 4 5 6 7 3 8 1 9 2 3 5 2 0 0 3 -> 0 0 0 0 0 1 10 4 8 0 1 9 9 10 5 10 11 7 3 , 3 8 12 13 8 3 8 3 8 1 2 3 11 7 3 8 0 0 3 -> 3 4 8 3 8 1 10 8 0 3 4 8 12 7 0 12 7 0 3 , 1 2 0 3 8 3 11 7 0 12 14 13 8 3 8 1 2 0 3 -> 1 2 0 3 8 1 2 0 3 4 8 3 8 12 14 14 7 0 3 , 1 9 9 9 2 3 4 5 6 14 15 10 11 13 8 1 2 0 3 -> 1 9 6 7 3 5 2 1 2 1 10 11 7 1 6 13 5 10 4 , 0 1 2 12 14 13 4 8 3 5 9 6 15 2 3 5 2 0 3 -> 0 1 10 8 12 15 2 12 13 8 1 10 4 5 9 6 7 0 3 , 1 9 2 3 11 15 2 3 4 5 2 12 13 5 6 13 8 0 3 -> 1 10 11 15 2 0 3 11 7 1 9 6 13 4 8 1 10 8 3 , 0 1 9 6 7 1 6 7 0 3 11 14 15 9 2 0 12 7 3 -> 0 1 9 10 8 12 14 7 1 6 15 9 2 0 0 12 14 7 3 , 3 4 8 1 10 4 11 14 15 9 6 15 2 3 5 2 12 7 3 -> 3 11 14 7 3 5 10 11 7 1 10 4 5 9 2 1 6 7 3 , 3 8 3 8 1 2 3 5 6 7 3 8 1 2 3 11 14 7 3 -> 3 5 10 4 11 7 0 0 1 6 7 12 13 4 5 2 0 0 3 , 3 4 11 14 15 9 2 3 8 12 13 5 2 1 10 5 6 7 3 -> 3 8 12 7 0 1 10 4 5 6 14 13 5 10 5 9 6 7 3 , 12 15 2 0 12 13 4 11 15 2 3 11 15 9 10 5 6 7 3 -> 12 15 9 10 11 15 10 11 7 3 5 2 12 7 12 15 10 8 3 , 1 6 15 10 4 4 11 14 14 13 4 4 4 8 3 11 15 2 3 -> 1 6 7 1 10 4 4 11 13 11 7 12 13 4 4 5 10 11 13 , 1 6 7 12 14 13 4 8 12 7 3 4 11 13 8 1 9 2 3 -> 1 6 13 11 7 12 13 8 0 12 13 5 10 8 1 6 13 8 3 , 0 12 14 14 14 13 4 8 3 11 7 0 3 11 7 0 3 8 3 -> 0 12 14 13 8 12 14 13 11 7 12 13 8 0 3 8 3 8 3 , 0 1 2 1 6 15 6 7 0 0 3 8 12 13 8 0 3 8 3 -> 0 1 10 8 0 12 7 0 3 5 9 2 12 14 7 0 3 8 3 , 0 1 9 9 2 12 15 2 1 9 2 0 0 0 1 2 3 8 3 -> 0 0 0 0 1 2 0 1 9 10 8 0 1 6 15 9 9 2 3 , 3 8 12 15 2 1 10 8 0 3 11 7 3 8 3 8 3 8 3 -> 3 8 3 8 0 3 8 1 10 8 0 12 7 0 3 5 10 11 13 , 12 13 8 1 6 13 5 9 2 3 11 7 3 11 13 8 3 8 3 -> 12 13 5 6 13 5 6 7 3 5 10 8 0 3 8 3 8 12 13 , 1 2 1 2 3 4 11 15 10 5 2 0 1 9 10 8 3 8 3 -> 1 10 5 10 5 10 5 2 0 0 1 9 2 0 12 13 4 8 3 , 1 9 9 10 4 5 6 15 10 4 5 6 15 10 5 6 13 8 3 -> 1 9 9 10 5 9 10 11 13 4 8 1 6 13 5 10 5 6 13 , 12 14 15 9 6 14 15 2 0 12 14 14 7 12 7 1 10 8 3 -> 12 14 15 6 7 12 14 7 0 1 6 15 6 7 12 15 10 8 3 , 0 0 3 8 3 5 10 8 1 2 3 5 9 6 14 14 7 12 13 -> 0 0 12 15 2 1 10 8 1 10 8 12 14 13 8 1 10 11 13 , 1 9 6 7 1 2 1 6 15 10 4 8 1 9 9 6 7 12 13 -> 1 10 5 10 5 2 0 12 14 15 9 2 1 6 15 9 2 12 13 , 3 4 5 9 2 12 13 4 5 6 15 2 3 4 8 3 8 12 13 -> 3 4 5 10 8 0 3 5 9 2 12 13 4 5 6 13 8 12 13 , 3 4 5 9 6 13 4 11 14 13 11 13 8 3 11 7 12 14 13 -> 0 12 15 10 5 10 11 13 11 13 11 13 8 12 13 11 13 11 13 , 0 1 2 0 12 13 4 11 15 9 9 10 11 15 2 12 14 14 13 -> 0 1 6 7 0 3 5 9 10 11 14 15 6 15 10 11 7 12 13 , 0 12 13 4 8 1 9 9 9 9 6 15 6 14 14 14 14 14 13 -> 1 6 14 15 2 12 7 1 6 14 15 6 13 5 9 10 11 14 13 , 3 11 15 2 0 3 4 8 12 13 11 15 6 7 1 6 14 14 13 -> 3 11 13 11 7 0 1 10 8 12 13 8 1 9 6 14 14 14 13 , 12 13 4 4 4 11 7 12 15 9 2 3 8 3 5 6 14 14 13 -> 12 7 3 11 13 11 7 1 10 4 11 13 5 6 7 3 5 6 13 , 3 11 14 14 13 5 2 12 14 13 11 7 12 7 3 11 14 14 13 -> 3 11 14 15 6 13 11 7 12 7 12 14 7 3 11 13 11 14 13 , 12 15 2 1 6 7 0 0 3 4 4 8 1 2 3 11 14 14 13 -> 12 15 10 8 12 7 3 11 7 0 3 8 12 7 1 10 5 6 13 , 12 15 9 9 2 0 0 3 11 15 2 3 5 9 9 9 6 14 13 -> 12 15 9 9 9 2 12 13 5 2 0 1 6 7 3 5 9 6 13 , 12 15 2 3 5 10 8 12 13 8 12 15 6 15 2 3 11 14 13 -> 12 15 2 1 9 6 7 12 14 7 3 4 4 4 5 2 12 14 13 , 3 11 15 10 4 4 5 2 3 11 15 2 1 6 14 13 11 14 13 -> 3 11 7 3 5 9 10 11 14 15 6 13 4 11 15 10 8 12 13 , 12 14 13 5 6 14 7 0 3 11 14 14 14 7 1 2 3 11 13 -> 12 14 7 0 12 14 7 3 11 13 5 10 11 15 6 14 7 12 13 , 1 9 6 14 13 4 5 10 8 12 14 13 11 14 15 2 3 11 13 -> 1 9 6 13 11 14 14 7 12 14 15 10 4 4 8 3 5 6 13 , 1 10 4 4 5 2 12 14 15 9 6 7 3 11 15 2 3 11 13 -> 1 10 5 2 12 7 0 12 13 5 10 11 15 10 11 14 15 10 4 , 12 14 14 14 14 14 15 2 12 14 15 6 13 11 15 2 3 11 13 -> 12 14 15 10 5 6 7 12 14 15 6 7 12 14 14 14 13 11 13 , 1 9 9 10 4 5 6 7 3 8 0 1 10 11 15 2 3 11 13 -> 1 10 5 2 1 10 5 9 10 4 11 7 1 2 0 12 13 11 13 , 3 5 9 9 6 7 3 4 8 0 0 3 11 7 3 11 13 11 13 -> 3 8 3 11 7 1 10 5 10 11 13 8 12 13 5 2 0 12 13 , 12 13 11 14 15 6 15 2 3 11 7 12 15 2 3 11 13 11 13 -> 12 13 4 11 14 14 15 6 13 8 1 9 10 11 7 12 7 12 13 , 3 5 10 5 9 6 13 11 14 15 2 12 13 4 11 13 4 11 13 -> 3 5 10 4 5 6 13 4 5 6 13 8 12 14 15 6 13 11 13 , 3 8 12 13 11 7 1 6 7 1 2 1 10 8 3 8 0 1 10 -> 3 8 12 14 7 0 1 6 7 3 5 9 10 8 3 8 0 1 10 , 1 10 5 2 12 14 15 2 3 11 15 2 3 11 13 11 7 1 10 -> 1 10 8 1 6 7 0 1 6 13 5 10 11 15 6 14 7 3 4 , 0 0 1 2 3 5 9 2 12 13 8 0 0 3 11 15 2 1 10 -> 0 0 1 6 7 3 8 0 3 8 1 6 15 2 1 10 8 1 10 , 0 0 0 1 2 3 11 15 9 9 2 1 2 12 15 9 2 1 10 -> 0 1 9 9 9 9 9 6 7 3 5 2 0 0 12 7 0 1 10 , 3 4 4 4 8 3 8 3 5 6 13 11 15 9 9 9 2 1 10 -> 3 4 4 5 9 9 9 10 11 7 3 4 11 15 2 3 8 1 10 , 0 12 13 8 3 4 5 6 15 6 15 10 8 0 3 11 14 15 10 -> 1 6 13 8 3 4 8 0 1 6 14 7 3 5 10 11 14 15 10 , 12 14 14 15 9 2 3 11 15 9 6 15 2 12 15 9 6 15 10 -> 12 14 15 6 14 14 15 2 12 15 9 10 5 9 6 15 2 1 10 , 3 4 11 13 5 9 10 4 11 15 2 1 2 1 9 9 6 15 10 -> 1 9 10 11 14 7 1 9 2 1 10 4 5 10 5 10 11 15 10 , 1 2 1 2 0 12 7 1 10 8 3 8 1 9 9 9 6 15 10 -> 1 2 3 8 12 15 9 2 1 2 12 7 0 1 9 10 5 9 10 , 1 6 14 13 8 0 0 3 11 15 9 6 15 10 5 10 11 15 10 -> 1 10 11 7 1 6 13 11 15 9 10 11 14 7 0 1 10 5 10 , 1 10 5 9 6 15 10 11 7 1 10 4 5 2 12 7 1 9 10 -> 1 10 11 7 0 0 1 6 13 5 10 5 9 9 10 11 15 9 10 , 12 7 12 14 15 2 12 15 2 12 15 2 3 11 7 12 15 9 10 -> 12 7 1 2 1 6 15 6 14 7 3 11 7 12 14 7 1 9 10 , 12 15 2 3 4 11 7 1 9 2 12 7 3 11 15 6 15 9 10 -> 12 7 0 3 11 7 0 3 5 6 14 15 9 10 11 15 9 9 10 , 1 10 5 6 13 4 8 3 5 2 3 11 13 8 0 3 5 9 10 -> 1 10 5 9 10 11 13 4 8 3 8 0 3 5 10 5 2 12 13 , 12 13 11 15 10 8 12 13 8 1 6 15 2 12 14 7 3 5 10 -> 12 13 8 1 6 7 0 1 10 5 6 13 4 11 14 14 7 1 10 , 0 1 6 13 5 2 1 2 0 3 8 0 1 6 15 2 3 5 10 -> 0 1 9 10 5 2 12 13 8 0 0 1 9 2 12 7 1 10 4 , 1 6 13 4 11 15 9 2 1 2 0 1 6 14 14 14 13 5 10 -> 1 6 14 7 0 12 15 6 15 6 13 11 15 2 3 5 10 5 10 , 3 4 4 4 11 13 8 3 8 3 5 9 6 7 0 0 0 3 4 -> 3 4 4 4 11 14 7 0 0 3 5 10 8 0 0 3 5 10 4 , 0 12 14 13 11 15 6 13 8 3 8 0 3 5 6 14 7 3 4 -> 0 12 14 14 15 10 8 12 7 3 8 12 13 4 5 6 7 3 4 , 1 10 5 10 8 0 3 11 15 10 11 13 11 14 14 15 2 3 4 -> 1 10 11 7 3 4 5 10 11 14 14 7 1 9 6 7 3 4 4 , 0 12 7 1 6 7 12 15 2 1 6 15 2 0 1 9 2 3 4 -> 0 12 7 1 9 10 5 6 15 6 7 0 1 2 1 2 12 7 3 , 12 15 6 15 9 9 10 8 0 0 3 4 5 6 13 5 2 3 4 -> 12 15 6 15 6 7 1 2 1 2 3 5 10 5 10 4 8 3 4 , 0 0 1 10 8 3 5 9 10 4 11 7 12 15 10 5 2 3 4 -> 0 3 8 0 1 6 7 1 9 10 5 6 13 4 5 10 8 3 4 , 3 8 12 14 13 11 13 4 8 3 8 12 13 4 8 3 8 3 4 -> 3 8 0 3 4 4 11 7 0 12 13 4 4 4 11 13 11 7 3 , 0 0 0 0 3 5 2 1 2 3 11 13 8 0 12 13 8 3 4 -> 0 3 4 5 10 4 8 0 0 0 0 12 14 13 5 2 0 0 3 , 3 5 6 7 12 13 5 2 3 4 4 11 15 9 6 7 12 13 4 -> 3 11 13 4 11 13 8 0 1 9 10 5 9 6 14 7 12 13 4 , 0 0 1 6 14 15 10 4 11 15 2 12 13 4 5 9 6 13 4 -> 0 0 1 6 13 5 10 11 13 11 14 15 9 9 2 3 11 13 4 , 0 0 3 8 0 3 11 15 9 9 9 9 2 1 2 3 11 13 4 -> 0 0 1 9 2 1 9 10 8 0 3 11 13 8 1 10 11 15 10 , 3 8 0 3 5 10 5 10 5 9 10 5 6 15 2 3 11 13 4 -> 3 5 2 3 8 1 9 10 5 10 5 10 4 5 10 11 14 7 3 , 1 2 12 15 10 5 9 9 10 11 7 3 4 5 2 3 11 13 4 -> 1 2 1 2 1 6 13 4 11 7 3 5 10 5 10 11 15 10 4 , 1 2 12 14 15 9 9 9 2 3 8 3 11 13 4 11 15 10 4 -> 1 10 4 5 6 15 6 14 15 2 3 8 0 12 15 9 10 4 4 , 3 8 1 9 2 0 1 2 3 11 13 8 1 2 1 2 3 4 4 -> 3 8 1 10 8 1 2 12 15 10 4 8 1 2 0 3 5 2 3 , 1 2 3 4 11 7 3 4 5 9 9 10 8 12 15 2 3 4 4 -> 1 2 0 1 2 12 15 6 13 8 3 4 4 4 5 9 10 4 4 , 3 4 5 6 15 10 8 0 3 8 3 4 8 0 0 12 13 4 4 -> 3 8 0 3 8 3 5 10 4 4 5 10 11 7 12 7 0 3 4 , 0 0 3 5 6 15 6 13 8 1 2 0 3 4 11 14 13 4 4 -> 0 1 9 10 5 6 7 3 11 7 3 8 3 4 11 14 7 3 4 , 1 9 6 15 6 15 6 13 8 12 7 3 8 0 0 1 10 4 4 -> 1 10 5 10 8 12 7 1 10 11 13 8 12 14 7 1 9 2 3 , 1 10 8 12 15 6 15 9 9 9 6 13 11 15 2 1 10 4 4 -> 1 10 5 2 1 6 15 9 10 11 15 6 14 13 5 9 2 3 4 , 0 3 8 0 3 8 3 11 14 14 13 11 15 6 7 3 4 4 4 -> 0 0 0 3 11 13 8 0 12 14 13 11 15 10 11 13 4 4 4 , 3 5 6 7 3 ->= 3 5 6 7 3 , 0 1 2 3 4 5 6 7 3 8 1 9 2 3 5 2 0 0 12 -> 0 0 0 0 0 1 10 4 8 0 1 9 9 10 5 10 11 7 12 , 3 8 12 13 8 3 8 3 8 1 2 3 11 7 3 8 0 0 12 -> 3 4 8 3 8 1 10 8 0 3 4 8 12 7 0 12 7 0 12 , 1 2 0 3 8 3 11 7 0 12 14 13 8 3 8 1 2 0 12 -> 1 2 0 3 8 1 2 0 3 4 8 3 8 12 14 14 7 0 12 , 1 9 9 9 2 3 4 5 6 14 15 10 11 13 8 1 2 0 12 -> 1 9 6 7 3 5 2 1 2 1 10 11 7 1 6 13 5 10 11 , 0 1 2 12 14 13 4 8 3 5 9 6 15 2 3 5 2 0 12 -> 0 1 10 8 12 15 2 12 13 8 1 10 4 5 9 6 7 0 12 , 1 9 2 3 11 15 2 3 4 5 2 12 13 5 6 13 8 0 12 -> 1 10 11 15 2 0 3 11 7 1 9 6 13 4 8 1 10 8 12 , 0 1 9 6 7 1 6 7 0 3 11 14 15 9 2 0 12 7 12 -> 0 1 9 10 8 12 14 7 1 6 15 9 2 0 0 12 14 7 12 , 3 4 8 1 10 4 11 14 15 9 6 15 2 3 5 2 12 7 12 -> 3 11 14 7 3 5 10 11 7 1 10 4 5 9 2 1 6 7 12 , 3 8 3 8 1 2 3 5 6 7 3 8 1 2 3 11 14 7 12 -> 3 5 10 4 11 7 0 0 1 6 7 12 13 4 5 2 0 0 12 , 3 4 11 14 15 9 2 3 8 12 13 5 2 1 10 5 6 7 12 -> 3 8 12 7 0 1 10 4 5 6 14 13 5 10 5 9 6 7 12 , 12 15 2 0 12 13 4 11 15 2 3 11 15 9 10 5 6 7 12 -> 12 15 9 10 11 15 10 11 7 3 5 2 12 7 12 15 10 8 12 , 1 6 15 10 4 4 11 14 14 13 4 4 4 8 3 11 15 2 12 -> 1 6 7 1 10 4 4 11 13 11 7 12 13 4 4 5 10 11 14 , 1 6 7 12 14 13 4 8 12 7 3 4 11 13 8 1 9 2 12 -> 1 6 13 11 7 12 13 8 0 12 13 5 10 8 1 6 13 8 12 , 0 12 14 14 14 13 4 8 3 11 7 0 3 11 7 0 3 8 12 -> 0 12 14 13 8 12 14 13 11 7 12 13 8 0 3 8 3 8 12 , 0 1 2 1 6 15 6 7 0 0 3 8 12 13 8 0 3 8 12 -> 0 1 10 8 0 12 7 0 3 5 9 2 12 14 7 0 3 8 12 , 0 1 9 9 2 12 15 2 1 9 2 0 0 0 1 2 3 8 12 -> 0 0 0 0 1 2 0 1 9 10 8 0 1 6 15 9 9 2 12 , 3 8 12 15 2 1 10 8 0 3 11 7 3 8 3 8 3 8 12 -> 3 8 3 8 0 3 8 1 10 8 0 12 7 0 3 5 10 11 14 , 12 13 8 1 6 13 5 9 2 3 11 7 3 11 13 8 3 8 12 -> 12 13 5 6 13 5 6 7 3 5 10 8 0 3 8 3 8 12 14 , 1 2 1 2 3 4 11 15 10 5 2 0 1 9 10 8 3 8 12 -> 1 10 5 10 5 10 5 2 0 0 1 9 2 0 12 13 4 8 12 , 1 9 9 10 4 5 6 15 10 4 5 6 15 10 5 6 13 8 12 -> 1 9 9 10 5 9 10 11 13 4 8 1 6 13 5 10 5 6 14 , 12 14 15 9 6 14 15 2 0 12 14 14 7 12 7 1 10 8 12 -> 12 14 15 6 7 12 14 7 0 1 6 15 6 7 12 15 10 8 12 , 0 0 3 8 3 5 10 8 1 2 3 5 9 6 14 14 7 12 14 -> 0 0 12 15 2 1 10 8 1 10 8 12 14 13 8 1 10 11 14 , 1 9 6 7 1 2 1 6 15 10 4 8 1 9 9 6 7 12 14 -> 1 10 5 10 5 2 0 12 14 15 9 2 1 6 15 9 2 12 14 , 3 4 5 9 2 12 13 4 5 6 15 2 3 4 8 3 8 12 14 -> 3 4 5 10 8 0 3 5 9 2 12 13 4 5 6 13 8 12 14 , 3 4 5 9 6 13 4 11 14 13 11 13 8 3 11 7 12 14 14 -> 0 12 15 10 5 10 11 13 11 13 11 13 8 12 13 11 13 11 14 , 0 1 2 0 12 13 4 11 15 9 9 10 11 15 2 12 14 14 14 -> 0 1 6 7 0 3 5 9 10 11 14 15 6 15 10 11 7 12 14 , 0 12 13 4 8 1 9 9 9 9 6 15 6 14 14 14 14 14 14 -> 1 6 14 15 2 12 7 1 6 14 15 6 13 5 9 10 11 14 14 , 3 11 15 2 0 3 4 8 12 13 11 15 6 7 1 6 14 14 14 -> 3 11 13 11 7 0 1 10 8 12 13 8 1 9 6 14 14 14 14 , 12 13 4 4 4 11 7 12 15 9 2 3 8 3 5 6 14 14 14 -> 12 7 3 11 13 11 7 1 10 4 11 13 5 6 7 3 5 6 14 , 3 11 14 14 13 5 2 12 14 13 11 7 12 7 3 11 14 14 14 -> 3 11 14 15 6 13 11 7 12 7 12 14 7 3 11 13 11 14 14 , 12 15 2 1 6 7 0 0 3 4 4 8 1 2 3 11 14 14 14 -> 12 15 10 8 12 7 3 11 7 0 3 8 12 7 1 10 5 6 14 , 12 15 9 9 2 0 0 3 11 15 2 3 5 9 9 9 6 14 14 -> 12 15 9 9 9 2 12 13 5 2 0 1 6 7 3 5 9 6 14 , 12 15 2 3 5 10 8 12 13 8 12 15 6 15 2 3 11 14 14 -> 12 15 2 1 9 6 7 12 14 7 3 4 4 4 5 2 12 14 14 , 3 11 15 10 4 4 5 2 3 11 15 2 1 6 14 13 11 14 14 -> 3 11 7 3 5 9 10 11 14 15 6 13 4 11 15 10 8 12 14 , 12 14 13 5 6 14 7 0 3 11 14 14 14 7 1 2 3 11 14 -> 12 14 7 0 12 14 7 3 11 13 5 10 11 15 6 14 7 12 14 , 1 9 6 14 13 4 5 10 8 12 14 13 11 14 15 2 3 11 14 -> 1 9 6 13 11 14 14 7 12 14 15 10 4 4 8 3 5 6 14 , 1 10 4 4 5 2 12 14 15 9 6 7 3 11 15 2 3 11 14 -> 1 10 5 2 12 7 0 12 13 5 10 11 15 10 11 14 15 10 11 , 12 14 14 14 14 14 15 2 12 14 15 6 13 11 15 2 3 11 14 -> 12 14 15 10 5 6 7 12 14 15 6 7 12 14 14 14 13 11 14 , 1 9 9 10 4 5 6 7 3 8 0 1 10 11 15 2 3 11 14 -> 1 10 5 2 1 10 5 9 10 4 11 7 1 2 0 12 13 11 14 , 3 5 9 9 6 7 3 4 8 0 0 3 11 7 3 11 13 11 14 -> 3 8 3 11 7 1 10 5 10 11 13 8 12 13 5 2 0 12 14 , 12 13 11 14 15 6 15 2 3 11 7 12 15 2 3 11 13 11 14 -> 12 13 4 11 14 14 15 6 13 8 1 9 10 11 7 12 7 12 14 , 3 5 10 5 9 6 13 11 14 15 2 12 13 4 11 13 4 11 14 -> 3 5 10 4 5 6 13 4 5 6 13 8 12 14 15 6 13 11 14 , 3 8 12 13 11 7 1 6 7 1 2 1 10 8 3 8 0 1 6 -> 3 8 12 14 7 0 1 6 7 3 5 9 10 8 3 8 0 1 6 , 1 10 5 2 12 14 15 2 3 11 15 2 3 11 13 11 7 1 6 -> 1 10 8 1 6 7 0 1 6 13 5 10 11 15 6 14 7 3 11 , 0 0 1 2 3 5 9 2 12 13 8 0 0 3 11 15 2 1 6 -> 0 0 1 6 7 3 8 0 3 8 1 6 15 2 1 10 8 1 6 , 0 0 0 1 2 3 11 15 9 9 2 1 2 12 15 9 2 1 6 -> 0 1 9 9 9 9 9 6 7 3 5 2 0 0 12 7 0 1 6 , 3 4 4 4 8 3 8 3 5 6 13 11 15 9 9 9 2 1 6 -> 3 4 4 5 9 9 9 10 11 7 3 4 11 15 2 3 8 1 6 , 0 12 13 8 3 4 5 6 15 6 15 10 8 0 3 11 14 15 6 -> 1 6 13 8 3 4 8 0 1 6 14 7 3 5 10 11 14 15 6 , 12 14 14 15 9 2 3 11 15 9 6 15 2 12 15 9 6 15 6 -> 12 14 15 6 14 14 15 2 12 15 9 10 5 9 6 15 2 1 6 , 3 4 11 13 5 9 10 4 11 15 2 1 2 1 9 9 6 15 6 -> 1 9 10 11 14 7 1 9 2 1 10 4 5 10 5 10 11 15 6 , 1 2 1 2 0 12 7 1 10 8 3 8 1 9 9 9 6 15 6 -> 1 2 3 8 12 15 9 2 1 2 12 7 0 1 9 10 5 9 6 , 1 6 14 13 8 0 0 3 11 15 9 6 15 10 5 10 11 15 6 -> 1 10 11 7 1 6 13 11 15 9 10 11 14 7 0 1 10 5 6 , 1 10 5 9 6 15 10 11 7 1 10 4 5 2 12 7 1 9 6 -> 1 10 11 7 0 0 1 6 13 5 10 5 9 9 10 11 15 9 6 , 12 7 12 14 15 2 12 15 2 12 15 2 3 11 7 12 15 9 6 -> 12 7 1 2 1 6 15 6 14 7 3 11 7 12 14 7 1 9 6 , 12 15 2 3 4 11 7 1 9 2 12 7 3 11 15 6 15 9 6 -> 12 7 0 3 11 7 0 3 5 6 14 15 9 10 11 15 9 9 6 , 1 10 5 6 13 4 8 3 5 2 3 11 13 8 0 3 5 9 6 -> 1 10 5 9 10 11 13 4 8 3 8 0 3 5 10 5 2 12 14 , 12 13 11 15 10 8 12 13 8 1 6 15 2 12 14 7 3 5 6 -> 12 13 8 1 6 7 0 1 10 5 6 13 4 11 14 14 7 1 6 , 0 1 6 13 5 2 1 2 0 3 8 0 1 6 15 2 3 5 6 -> 0 1 9 10 5 2 12 13 8 0 0 1 9 2 12 7 1 10 11 , 1 6 13 4 11 15 9 2 1 2 0 1 6 14 14 14 13 5 6 -> 1 6 14 7 0 12 15 6 15 6 13 11 15 2 3 5 10 5 6 , 3 4 4 4 11 13 8 3 8 3 5 9 6 7 0 0 0 3 11 -> 3 4 4 4 11 14 7 0 0 3 5 10 8 0 0 3 5 10 11 , 0 12 14 13 11 15 6 13 8 3 8 0 3 5 6 14 7 3 11 -> 0 12 14 14 15 10 8 12 7 3 8 12 13 4 5 6 7 3 11 , 1 10 5 10 8 0 3 11 15 10 11 13 11 14 14 15 2 3 11 -> 1 10 11 7 3 4 5 10 11 14 14 7 1 9 6 7 3 4 11 , 0 12 7 1 6 7 12 15 2 1 6 15 2 0 1 9 2 3 11 -> 0 12 7 1 9 10 5 6 15 6 7 0 1 2 1 2 12 7 12 , 12 15 6 15 9 9 10 8 0 0 3 4 5 6 13 5 2 3 11 -> 12 15 6 15 6 7 1 2 1 2 3 5 10 5 10 4 8 3 11 , 0 0 1 10 8 3 5 9 10 4 11 7 12 15 10 5 2 3 11 -> 0 3 8 0 1 6 7 1 9 10 5 6 13 4 5 10 8 3 11 , 3 8 12 14 13 11 13 4 8 3 8 12 13 4 8 3 8 3 11 -> 3 8 0 3 4 4 11 7 0 12 13 4 4 4 11 13 11 7 12 , 0 0 0 0 3 5 2 1 2 3 11 13 8 0 12 13 8 3 11 -> 0 3 4 5 10 4 8 0 0 0 0 12 14 13 5 2 0 0 12 , 3 5 6 7 12 13 5 2 3 4 4 11 15 9 6 7 12 13 11 -> 3 11 13 4 11 13 8 0 1 9 10 5 9 6 14 7 12 13 11 , 0 0 1 6 14 15 10 4 11 15 2 12 13 4 5 9 6 13 11 -> 0 0 1 6 13 5 10 11 13 11 14 15 9 9 2 3 11 13 11 , 0 0 3 8 0 3 11 15 9 9 9 9 2 1 2 3 11 13 11 -> 0 0 1 9 2 1 9 10 8 0 3 11 13 8 1 10 11 15 6 , 3 8 0 3 5 10 5 10 5 9 10 5 6 15 2 3 11 13 11 -> 3 5 2 3 8 1 9 10 5 10 5 10 4 5 10 11 14 7 12 , 1 2 12 15 10 5 9 9 10 11 7 3 4 5 2 3 11 13 11 -> 1 2 1 2 1 6 13 4 11 7 3 5 10 5 10 11 15 10 11 , 1 2 12 14 15 9 9 9 2 3 8 3 11 13 4 11 15 10 11 -> 1 10 4 5 6 15 6 14 15 2 3 8 0 12 15 9 10 4 11 , 3 8 1 9 2 0 1 2 3 11 13 8 1 2 1 2 3 4 11 -> 3 8 1 10 8 1 2 12 15 10 4 8 1 2 0 3 5 2 12 , 1 2 3 4 11 7 3 4 5 9 9 10 8 12 15 2 3 4 11 -> 1 2 0 1 2 12 15 6 13 8 3 4 4 4 5 9 10 4 11 , 3 4 5 6 15 10 8 0 3 8 3 4 8 0 0 12 13 4 11 -> 3 8 0 3 8 3 5 10 4 4 5 10 11 7 12 7 0 3 11 , 0 0 3 5 6 15 6 13 8 1 2 0 3 4 11 14 13 4 11 -> 0 1 9 10 5 6 7 3 11 7 3 8 3 4 11 14 7 3 11 , 1 9 6 15 6 15 6 13 8 12 7 3 8 0 0 1 10 4 11 -> 1 10 5 10 8 12 7 1 10 11 13 8 12 14 7 1 9 2 12 , 1 10 8 12 15 6 15 9 9 9 6 13 11 15 2 1 10 4 11 -> 1 10 5 2 1 6 15 9 10 11 15 6 14 13 5 9 2 3 11 , 0 3 8 0 3 8 3 11 14 14 13 11 15 6 7 3 4 4 11 -> 0 0 0 3 11 13 8 0 12 14 13 11 15 10 11 13 4 4 11 , 3 5 6 7 12 ->= 3 5 6 7 12 , 2 1 2 3 4 5 6 7 3 8 1 9 2 3 5 2 0 0 0 -> 2 0 0 0 0 1 10 4 8 0 1 9 9 10 5 10 11 7 0 , 10 8 12 13 8 3 8 3 8 1 2 3 11 7 3 8 0 0 0 -> 10 4 8 3 8 1 10 8 0 3 4 8 12 7 0 12 7 0 0 , 9 2 0 3 8 3 11 7 0 12 14 13 8 3 8 1 2 0 0 -> 9 2 0 3 8 1 2 0 3 4 8 3 8 12 14 14 7 0 0 , 9 9 9 9 2 3 4 5 6 14 15 10 11 13 8 1 2 0 0 -> 9 9 6 7 3 5 2 1 2 1 10 11 7 1 6 13 5 10 8 , 2 1 2 12 14 13 4 8 3 5 9 6 15 2 3 5 2 0 0 -> 2 1 10 8 12 15 2 12 13 8 1 10 4 5 9 6 7 0 0 , 9 9 2 3 11 15 2 3 4 5 2 12 13 5 6 13 8 0 0 -> 9 10 11 15 2 0 3 11 7 1 9 6 13 4 8 1 10 8 0 , 2 1 9 6 7 1 6 7 0 3 11 14 15 9 2 0 12 7 0 -> 2 1 9 10 8 12 14 7 1 6 15 9 2 0 0 12 14 7 0 , 10 4 8 1 10 4 11 14 15 9 6 15 2 3 5 2 12 7 0 -> 10 11 14 7 3 5 10 11 7 1 10 4 5 9 2 1 6 7 0 , 10 8 3 8 1 2 3 5 6 7 3 8 1 2 3 11 14 7 0 -> 10 5 10 4 11 7 0 0 1 6 7 12 13 4 5 2 0 0 0 , 10 4 11 14 15 9 2 3 8 12 13 5 2 1 10 5 6 7 0 -> 10 8 12 7 0 1 10 4 5 6 14 13 5 10 5 9 6 7 0 , 6 15 2 0 12 13 4 11 15 2 3 11 15 9 10 5 6 7 0 -> 6 15 9 10 11 15 10 11 7 3 5 2 12 7 12 15 10 8 0 , 9 6 15 10 4 4 11 14 14 13 4 4 4 8 3 11 15 2 0 -> 9 6 7 1 10 4 4 11 13 11 7 12 13 4 4 5 10 11 7 , 9 6 7 12 14 13 4 8 12 7 3 4 11 13 8 1 9 2 0 -> 9 6 13 11 7 12 13 8 0 12 13 5 10 8 1 6 13 8 0 , 2 12 14 14 14 13 4 8 3 11 7 0 3 11 7 0 3 8 0 -> 2 12 14 13 8 12 14 13 11 7 12 13 8 0 3 8 3 8 0 , 2 1 2 1 6 15 6 7 0 0 3 8 12 13 8 0 3 8 0 -> 2 1 10 8 0 12 7 0 3 5 9 2 12 14 7 0 3 8 0 , 2 1 9 9 2 12 15 2 1 9 2 0 0 0 1 2 3 8 0 -> 2 0 0 0 1 2 0 1 9 10 8 0 1 6 15 9 9 2 0 , 10 8 12 15 2 1 10 8 0 3 11 7 3 8 3 8 3 8 0 -> 10 8 3 8 0 3 8 1 10 8 0 12 7 0 3 5 10 11 7 , 6 13 8 1 6 13 5 9 2 3 11 7 3 11 13 8 3 8 0 -> 6 13 5 6 13 5 6 7 3 5 10 8 0 3 8 3 8 12 7 , 9 2 1 2 3 4 11 15 10 5 2 0 1 9 10 8 3 8 0 -> 9 10 5 10 5 10 5 2 0 0 1 9 2 0 12 13 4 8 0 , 9 9 9 10 4 5 6 15 10 4 5 6 15 10 5 6 13 8 0 -> 9 9 9 10 5 9 10 11 13 4 8 1 6 13 5 10 5 6 7 , 6 14 15 9 6 14 15 2 0 12 14 14 7 12 7 1 10 8 0 -> 6 14 15 6 7 12 14 7 0 1 6 15 6 7 12 15 10 8 0 , 2 0 3 8 3 5 10 8 1 2 3 5 9 6 14 14 7 12 7 -> 2 0 12 15 2 1 10 8 1 10 8 12 14 13 8 1 10 11 7 , 9 9 6 7 1 2 1 6 15 10 4 8 1 9 9 6 7 12 7 -> 9 10 5 10 5 2 0 12 14 15 9 2 1 6 15 9 2 12 7 , 10 4 5 9 2 12 13 4 5 6 15 2 3 4 8 3 8 12 7 -> 10 4 5 10 8 0 3 5 9 2 12 13 4 5 6 13 8 12 7 , 10 4 5 9 6 13 4 11 14 13 11 13 8 3 11 7 12 14 7 -> 2 12 15 10 5 10 11 13 11 13 11 13 8 12 13 11 13 11 7 , 2 1 2 0 12 13 4 11 15 9 9 10 11 15 2 12 14 14 7 -> 2 1 6 7 0 3 5 9 10 11 14 15 6 15 10 11 7 12 7 , 2 12 13 4 8 1 9 9 9 9 6 15 6 14 14 14 14 14 7 -> 9 6 14 15 2 12 7 1 6 14 15 6 13 5 9 10 11 14 7 , 10 11 15 2 0 3 4 8 12 13 11 15 6 7 1 6 14 14 7 -> 10 11 13 11 7 0 1 10 8 12 13 8 1 9 6 14 14 14 7 , 6 13 4 4 4 11 7 12 15 9 2 3 8 3 5 6 14 14 7 -> 6 7 3 11 13 11 7 1 10 4 11 13 5 6 7 3 5 6 7 , 10 11 14 14 13 5 2 12 14 13 11 7 12 7 3 11 14 14 7 -> 10 11 14 15 6 13 11 7 12 7 12 14 7 3 11 13 11 14 7 , 6 15 2 1 6 7 0 0 3 4 4 8 1 2 3 11 14 14 7 -> 6 15 10 8 12 7 3 11 7 0 3 8 12 7 1 10 5 6 7 , 6 15 9 9 2 0 0 3 11 15 2 3 5 9 9 9 6 14 7 -> 6 15 9 9 9 2 12 13 5 2 0 1 6 7 3 5 9 6 7 , 6 15 2 3 5 10 8 12 13 8 12 15 6 15 2 3 11 14 7 -> 6 15 2 1 9 6 7 12 14 7 3 4 4 4 5 2 12 14 7 , 10 11 15 10 4 4 5 2 3 11 15 2 1 6 14 13 11 14 7 -> 10 11 7 3 5 9 10 11 14 15 6 13 4 11 15 10 8 12 7 , 6 14 13 5 6 14 7 0 3 11 14 14 14 7 1 2 3 11 7 -> 6 14 7 0 12 14 7 3 11 13 5 10 11 15 6 14 7 12 7 , 9 9 6 14 13 4 5 10 8 12 14 13 11 14 15 2 3 11 7 -> 9 9 6 13 11 14 14 7 12 14 15 10 4 4 8 3 5 6 7 , 9 10 4 4 5 2 12 14 15 9 6 7 3 11 15 2 3 11 7 -> 9 10 5 2 12 7 0 12 13 5 10 11 15 10 11 14 15 10 8 , 6 14 14 14 14 14 15 2 12 14 15 6 13 11 15 2 3 11 7 -> 6 14 15 10 5 6 7 12 14 15 6 7 12 14 14 14 13 11 7 , 9 9 9 10 4 5 6 7 3 8 0 1 10 11 15 2 3 11 7 -> 9 10 5 2 1 10 5 9 10 4 11 7 1 2 0 12 13 11 7 , 10 5 9 9 6 7 3 4 8 0 0 3 11 7 3 11 13 11 7 -> 10 8 3 11 7 1 10 5 10 11 13 8 12 13 5 2 0 12 7 , 6 13 11 14 15 6 15 2 3 11 7 12 15 2 3 11 13 11 7 -> 6 13 4 11 14 14 15 6 13 8 1 9 10 11 7 12 7 12 7 , 10 5 10 5 9 6 13 11 14 15 2 12 13 4 11 13 4 11 7 -> 10 5 10 4 5 6 13 4 5 6 13 8 12 14 15 6 13 11 7 , 10 8 12 13 11 7 1 6 7 1 2 1 10 8 3 8 0 1 2 -> 10 8 12 14 7 0 1 6 7 3 5 9 10 8 3 8 0 1 2 , 9 10 5 2 12 14 15 2 3 11 15 2 3 11 13 11 7 1 2 -> 9 10 8 1 6 7 0 1 6 13 5 10 11 15 6 14 7 3 8 , 2 0 1 2 3 5 9 2 12 13 8 0 0 3 11 15 2 1 2 -> 2 0 1 6 7 3 8 0 3 8 1 6 15 2 1 10 8 1 2 , 2 0 0 1 2 3 11 15 9 9 2 1 2 12 15 9 2 1 2 -> 2 1 9 9 9 9 9 6 7 3 5 2 0 0 12 7 0 1 2 , 10 4 4 4 8 3 8 3 5 6 13 11 15 9 9 9 2 1 2 -> 10 4 4 5 9 9 9 10 11 7 3 4 11 15 2 3 8 1 2 , 2 12 13 8 3 4 5 6 15 6 15 10 8 0 3 11 14 15 2 -> 9 6 13 8 3 4 8 0 1 6 14 7 3 5 10 11 14 15 2 , 6 14 14 15 9 2 3 11 15 9 6 15 2 12 15 9 6 15 2 -> 6 14 15 6 14 14 15 2 12 15 9 10 5 9 6 15 2 1 2 , 10 4 11 13 5 9 10 4 11 15 2 1 2 1 9 9 6 15 2 -> 9 9 10 11 14 7 1 9 2 1 10 4 5 10 5 10 11 15 2 , 9 2 1 2 0 12 7 1 10 8 3 8 1 9 9 9 6 15 2 -> 9 2 3 8 12 15 9 2 1 2 12 7 0 1 9 10 5 9 2 , 9 6 14 13 8 0 0 3 11 15 9 6 15 10 5 10 11 15 2 -> 9 10 11 7 1 6 13 11 15 9 10 11 14 7 0 1 10 5 2 , 9 10 5 9 6 15 10 11 7 1 10 4 5 2 12 7 1 9 2 -> 9 10 11 7 0 0 1 6 13 5 10 5 9 9 10 11 15 9 2 , 6 7 12 14 15 2 12 15 2 12 15 2 3 11 7 12 15 9 2 -> 6 7 1 2 1 6 15 6 14 7 3 11 7 12 14 7 1 9 2 , 6 15 2 3 4 11 7 1 9 2 12 7 3 11 15 6 15 9 2 -> 6 7 0 3 11 7 0 3 5 6 14 15 9 10 11 15 9 9 2 , 9 10 5 6 13 4 8 3 5 2 3 11 13 8 0 3 5 9 2 -> 9 10 5 9 10 11 13 4 8 3 8 0 3 5 10 5 2 12 7 , 6 13 11 15 10 8 12 13 8 1 6 15 2 12 14 7 3 5 2 -> 6 13 8 1 6 7 0 1 10 5 6 13 4 11 14 14 7 1 2 , 2 1 6 13 5 2 1 2 0 3 8 0 1 6 15 2 3 5 2 -> 2 1 9 10 5 2 12 13 8 0 0 1 9 2 12 7 1 10 8 , 9 6 13 4 11 15 9 2 1 2 0 1 6 14 14 14 13 5 2 -> 9 6 14 7 0 12 15 6 15 6 13 11 15 2 3 5 10 5 2 , 10 4 4 4 11 13 8 3 8 3 5 9 6 7 0 0 0 3 8 -> 10 4 4 4 11 14 7 0 0 3 5 10 8 0 0 3 5 10 8 , 2 12 14 13 11 15 6 13 8 3 8 0 3 5 6 14 7 3 8 -> 2 12 14 14 15 10 8 12 7 3 8 12 13 4 5 6 7 3 8 , 9 10 5 10 8 0 3 11 15 10 11 13 11 14 14 15 2 3 8 -> 9 10 11 7 3 4 5 10 11 14 14 7 1 9 6 7 3 4 8 , 2 12 7 1 6 7 12 15 2 1 6 15 2 0 1 9 2 3 8 -> 2 12 7 1 9 10 5 6 15 6 7 0 1 2 1 2 12 7 0 , 6 15 6 15 9 9 10 8 0 0 3 4 5 6 13 5 2 3 8 -> 6 15 6 15 6 7 1 2 1 2 3 5 10 5 10 4 8 3 8 , 2 0 1 10 8 3 5 9 10 4 11 7 12 15 10 5 2 3 8 -> 2 3 8 0 1 6 7 1 9 10 5 6 13 4 5 10 8 3 8 , 10 8 12 14 13 11 13 4 8 3 8 12 13 4 8 3 8 3 8 -> 10 8 0 3 4 4 11 7 0 12 13 4 4 4 11 13 11 7 0 , 2 0 0 0 3 5 2 1 2 3 11 13 8 0 12 13 8 3 8 -> 2 3 4 5 10 4 8 0 0 0 0 12 14 13 5 2 0 0 0 , 10 5 6 7 12 13 5 2 3 4 4 11 15 9 6 7 12 13 8 -> 10 11 13 4 11 13 8 0 1 9 10 5 9 6 14 7 12 13 8 , 2 0 1 6 14 15 10 4 11 15 2 12 13 4 5 9 6 13 8 -> 2 0 1 6 13 5 10 11 13 11 14 15 9 9 2 3 11 13 8 , 2 0 3 8 0 3 11 15 9 9 9 9 2 1 2 3 11 13 8 -> 2 0 1 9 2 1 9 10 8 0 3 11 13 8 1 10 11 15 2 , 10 8 0 3 5 10 5 10 5 9 10 5 6 15 2 3 11 13 8 -> 10 5 2 3 8 1 9 10 5 10 5 10 4 5 10 11 14 7 0 , 9 2 12 15 10 5 9 9 10 11 7 3 4 5 2 3 11 13 8 -> 9 2 1 2 1 6 13 4 11 7 3 5 10 5 10 11 15 10 8 , 9 2 12 14 15 9 9 9 2 3 8 3 11 13 4 11 15 10 8 -> 9 10 4 5 6 15 6 14 15 2 3 8 0 12 15 9 10 4 8 , 10 8 1 9 2 0 1 2 3 11 13 8 1 2 1 2 3 4 8 -> 10 8 1 10 8 1 2 12 15 10 4 8 1 2 0 3 5 2 0 , 9 2 3 4 11 7 3 4 5 9 9 10 8 12 15 2 3 4 8 -> 9 2 0 1 2 12 15 6 13 8 3 4 4 4 5 9 10 4 8 , 10 4 5 6 15 10 8 0 3 8 3 4 8 0 0 12 13 4 8 -> 10 8 0 3 8 3 5 10 4 4 5 10 11 7 12 7 0 3 8 , 2 0 3 5 6 15 6 13 8 1 2 0 3 4 11 14 13 4 8 -> 2 1 9 10 5 6 7 3 11 7 3 8 3 4 11 14 7 3 8 , 9 9 6 15 6 15 6 13 8 12 7 3 8 0 0 1 10 4 8 -> 9 10 5 10 8 12 7 1 10 11 13 8 12 14 7 1 9 2 0 , 9 10 8 12 15 6 15 9 9 9 6 13 11 15 2 1 10 4 8 -> 9 10 5 2 1 6 15 9 10 11 15 6 14 13 5 9 2 3 8 , 2 3 8 0 3 8 3 11 14 14 13 11 15 6 7 3 4 4 8 -> 2 0 0 3 11 13 8 0 12 14 13 11 15 10 11 13 4 4 8 , 10 5 6 7 0 ->= 10 5 6 7 0 , 2 1 2 3 4 5 6 7 3 8 1 9 2 3 5 2 0 0 1 -> 2 0 0 0 0 1 10 4 8 0 1 9 9 10 5 10 11 7 1 , 10 8 12 13 8 3 8 3 8 1 2 3 11 7 3 8 0 0 1 -> 10 4 8 3 8 1 10 8 0 3 4 8 12 7 0 12 7 0 1 , 9 2 0 3 8 3 11 7 0 12 14 13 8 3 8 1 2 0 1 -> 9 2 0 3 8 1 2 0 3 4 8 3 8 12 14 14 7 0 1 , 9 9 9 9 2 3 4 5 6 14 15 10 11 13 8 1 2 0 1 -> 9 9 6 7 3 5 2 1 2 1 10 11 7 1 6 13 5 10 5 , 2 1 2 12 14 13 4 8 3 5 9 6 15 2 3 5 2 0 1 -> 2 1 10 8 12 15 2 12 13 8 1 10 4 5 9 6 7 0 1 , 9 9 2 3 11 15 2 3 4 5 2 12 13 5 6 13 8 0 1 -> 9 10 11 15 2 0 3 11 7 1 9 6 13 4 8 1 10 8 1 , 2 1 9 6 7 1 6 7 0 3 11 14 15 9 2 0 12 7 1 -> 2 1 9 10 8 12 14 7 1 6 15 9 2 0 0 12 14 7 1 , 10 4 8 1 10 4 11 14 15 9 6 15 2 3 5 2 12 7 1 -> 10 11 14 7 3 5 10 11 7 1 10 4 5 9 2 1 6 7 1 , 10 8 3 8 1 2 3 5 6 7 3 8 1 2 3 11 14 7 1 -> 10 5 10 4 11 7 0 0 1 6 7 12 13 4 5 2 0 0 1 , 10 4 11 14 15 9 2 3 8 12 13 5 2 1 10 5 6 7 1 -> 10 8 12 7 0 1 10 4 5 6 14 13 5 10 5 9 6 7 1 , 6 15 2 0 12 13 4 11 15 2 3 11 15 9 10 5 6 7 1 -> 6 15 9 10 11 15 10 11 7 3 5 2 12 7 12 15 10 8 1 , 9 6 15 10 4 4 11 14 14 13 4 4 4 8 3 11 15 2 1 -> 9 6 7 1 10 4 4 11 13 11 7 12 13 4 4 5 10 11 15 , 9 6 7 12 14 13 4 8 12 7 3 4 11 13 8 1 9 2 1 -> 9 6 13 11 7 12 13 8 0 12 13 5 10 8 1 6 13 8 1 , 2 12 14 14 14 13 4 8 3 11 7 0 3 11 7 0 3 8 1 -> 2 12 14 13 8 12 14 13 11 7 12 13 8 0 3 8 3 8 1 , 2 1 2 1 6 15 6 7 0 0 3 8 12 13 8 0 3 8 1 -> 2 1 10 8 0 12 7 0 3 5 9 2 12 14 7 0 3 8 1 , 2 1 9 9 2 12 15 2 1 9 2 0 0 0 1 2 3 8 1 -> 2 0 0 0 1 2 0 1 9 10 8 0 1 6 15 9 9 2 1 , 10 8 12 15 2 1 10 8 0 3 11 7 3 8 3 8 3 8 1 -> 10 8 3 8 0 3 8 1 10 8 0 12 7 0 3 5 10 11 15 , 6 13 8 1 6 13 5 9 2 3 11 7 3 11 13 8 3 8 1 -> 6 13 5 6 13 5 6 7 3 5 10 8 0 3 8 3 8 12 15 , 9 2 1 2 3 4 11 15 10 5 2 0 1 9 10 8 3 8 1 -> 9 10 5 10 5 10 5 2 0 0 1 9 2 0 12 13 4 8 1 , 9 9 9 10 4 5 6 15 10 4 5 6 15 10 5 6 13 8 1 -> 9 9 9 10 5 9 10 11 13 4 8 1 6 13 5 10 5 6 15 , 6 14 15 9 6 14 15 2 0 12 14 14 7 12 7 1 10 8 1 -> 6 14 15 6 7 12 14 7 0 1 6 15 6 7 12 15 10 8 1 , 2 0 3 8 3 5 10 8 1 2 3 5 9 6 14 14 7 12 15 -> 2 0 12 15 2 1 10 8 1 10 8 12 14 13 8 1 10 11 15 , 9 9 6 7 1 2 1 6 15 10 4 8 1 9 9 6 7 12 15 -> 9 10 5 10 5 2 0 12 14 15 9 2 1 6 15 9 2 12 15 , 10 4 5 9 2 12 13 4 5 6 15 2 3 4 8 3 8 12 15 -> 10 4 5 10 8 0 3 5 9 2 12 13 4 5 6 13 8 12 15 , 10 4 5 9 6 13 4 11 14 13 11 13 8 3 11 7 12 14 15 -> 2 12 15 10 5 10 11 13 11 13 11 13 8 12 13 11 13 11 15 , 2 1 2 0 12 13 4 11 15 9 9 10 11 15 2 12 14 14 15 -> 2 1 6 7 0 3 5 9 10 11 14 15 6 15 10 11 7 12 15 , 2 12 13 4 8 1 9 9 9 9 6 15 6 14 14 14 14 14 15 -> 9 6 14 15 2 12 7 1 6 14 15 6 13 5 9 10 11 14 15 , 10 11 15 2 0 3 4 8 12 13 11 15 6 7 1 6 14 14 15 -> 10 11 13 11 7 0 1 10 8 12 13 8 1 9 6 14 14 14 15 , 6 13 4 4 4 11 7 12 15 9 2 3 8 3 5 6 14 14 15 -> 6 7 3 11 13 11 7 1 10 4 11 13 5 6 7 3 5 6 15 , 10 11 14 14 13 5 2 12 14 13 11 7 12 7 3 11 14 14 15 -> 10 11 14 15 6 13 11 7 12 7 12 14 7 3 11 13 11 14 15 , 6 15 2 1 6 7 0 0 3 4 4 8 1 2 3 11 14 14 15 -> 6 15 10 8 12 7 3 11 7 0 3 8 12 7 1 10 5 6 15 , 6 15 9 9 2 0 0 3 11 15 2 3 5 9 9 9 6 14 15 -> 6 15 9 9 9 2 12 13 5 2 0 1 6 7 3 5 9 6 15 , 6 15 2 3 5 10 8 12 13 8 12 15 6 15 2 3 11 14 15 -> 6 15 2 1 9 6 7 12 14 7 3 4 4 4 5 2 12 14 15 , 10 11 15 10 4 4 5 2 3 11 15 2 1 6 14 13 11 14 15 -> 10 11 7 3 5 9 10 11 14 15 6 13 4 11 15 10 8 12 15 , 6 14 13 5 6 14 7 0 3 11 14 14 14 7 1 2 3 11 15 -> 6 14 7 0 12 14 7 3 11 13 5 10 11 15 6 14 7 12 15 , 9 9 6 14 13 4 5 10 8 12 14 13 11 14 15 2 3 11 15 -> 9 9 6 13 11 14 14 7 12 14 15 10 4 4 8 3 5 6 15 , 9 10 4 4 5 2 12 14 15 9 6 7 3 11 15 2 3 11 15 -> 9 10 5 2 12 7 0 12 13 5 10 11 15 10 11 14 15 10 5 , 6 14 14 14 14 14 15 2 12 14 15 6 13 11 15 2 3 11 15 -> 6 14 15 10 5 6 7 12 14 15 6 7 12 14 14 14 13 11 15 , 9 9 9 10 4 5 6 7 3 8 0 1 10 11 15 2 3 11 15 -> 9 10 5 2 1 10 5 9 10 4 11 7 1 2 0 12 13 11 15 , 10 5 9 9 6 7 3 4 8 0 0 3 11 7 3 11 13 11 15 -> 10 8 3 11 7 1 10 5 10 11 13 8 12 13 5 2 0 12 15 , 6 13 11 14 15 6 15 2 3 11 7 12 15 2 3 11 13 11 15 -> 6 13 4 11 14 14 15 6 13 8 1 9 10 11 7 12 7 12 15 , 10 5 10 5 9 6 13 11 14 15 2 12 13 4 11 13 4 11 15 -> 10 5 10 4 5 6 13 4 5 6 13 8 12 14 15 6 13 11 15 , 10 8 12 13 11 7 1 6 7 1 2 1 10 8 3 8 0 1 9 -> 10 8 12 14 7 0 1 6 7 3 5 9 10 8 3 8 0 1 9 , 9 10 5 2 12 14 15 2 3 11 15 2 3 11 13 11 7 1 9 -> 9 10 8 1 6 7 0 1 6 13 5 10 11 15 6 14 7 3 5 , 2 0 1 2 3 5 9 2 12 13 8 0 0 3 11 15 2 1 9 -> 2 0 1 6 7 3 8 0 3 8 1 6 15 2 1 10 8 1 9 , 2 0 0 1 2 3 11 15 9 9 2 1 2 12 15 9 2 1 9 -> 2 1 9 9 9 9 9 6 7 3 5 2 0 0 12 7 0 1 9 , 10 4 4 4 8 3 8 3 5 6 13 11 15 9 9 9 2 1 9 -> 10 4 4 5 9 9 9 10 11 7 3 4 11 15 2 3 8 1 9 , 2 12 13 8 3 4 5 6 15 6 15 10 8 0 3 11 14 15 9 -> 9 6 13 8 3 4 8 0 1 6 14 7 3 5 10 11 14 15 9 , 6 14 14 15 9 2 3 11 15 9 6 15 2 12 15 9 6 15 9 -> 6 14 15 6 14 14 15 2 12 15 9 10 5 9 6 15 2 1 9 , 10 4 11 13 5 9 10 4 11 15 2 1 2 1 9 9 6 15 9 -> 9 9 10 11 14 7 1 9 2 1 10 4 5 10 5 10 11 15 9 , 9 2 1 2 0 12 7 1 10 8 3 8 1 9 9 9 6 15 9 -> 9 2 3 8 12 15 9 2 1 2 12 7 0 1 9 10 5 9 9 , 9 6 14 13 8 0 0 3 11 15 9 6 15 10 5 10 11 15 9 -> 9 10 11 7 1 6 13 11 15 9 10 11 14 7 0 1 10 5 9 , 9 10 5 9 6 15 10 11 7 1 10 4 5 2 12 7 1 9 9 -> 9 10 11 7 0 0 1 6 13 5 10 5 9 9 10 11 15 9 9 , 6 7 12 14 15 2 12 15 2 12 15 2 3 11 7 12 15 9 9 -> 6 7 1 2 1 6 15 6 14 7 3 11 7 12 14 7 1 9 9 , 6 15 2 3 4 11 7 1 9 2 12 7 3 11 15 6 15 9 9 -> 6 7 0 3 11 7 0 3 5 6 14 15 9 10 11 15 9 9 9 , 9 10 5 6 13 4 8 3 5 2 3 11 13 8 0 3 5 9 9 -> 9 10 5 9 10 11 13 4 8 3 8 0 3 5 10 5 2 12 15 , 6 13 11 15 10 8 12 13 8 1 6 15 2 12 14 7 3 5 9 -> 6 13 8 1 6 7 0 1 10 5 6 13 4 11 14 14 7 1 9 , 2 1 6 13 5 2 1 2 0 3 8 0 1 6 15 2 3 5 9 -> 2 1 9 10 5 2 12 13 8 0 0 1 9 2 12 7 1 10 5 , 9 6 13 4 11 15 9 2 1 2 0 1 6 14 14 14 13 5 9 -> 9 6 14 7 0 12 15 6 15 6 13 11 15 2 3 5 10 5 9 , 10 4 4 4 11 13 8 3 8 3 5 9 6 7 0 0 0 3 5 -> 10 4 4 4 11 14 7 0 0 3 5 10 8 0 0 3 5 10 5 , 2 12 14 13 11 15 6 13 8 3 8 0 3 5 6 14 7 3 5 -> 2 12 14 14 15 10 8 12 7 3 8 12 13 4 5 6 7 3 5 , 9 10 5 10 8 0 3 11 15 10 11 13 11 14 14 15 2 3 5 -> 9 10 11 7 3 4 5 10 11 14 14 7 1 9 6 7 3 4 5 , 2 12 7 1 6 7 12 15 2 1 6 15 2 0 1 9 2 3 5 -> 2 12 7 1 9 10 5 6 15 6 7 0 1 2 1 2 12 7 1 , 6 15 6 15 9 9 10 8 0 0 3 4 5 6 13 5 2 3 5 -> 6 15 6 15 6 7 1 2 1 2 3 5 10 5 10 4 8 3 5 , 2 0 1 10 8 3 5 9 10 4 11 7 12 15 10 5 2 3 5 -> 2 3 8 0 1 6 7 1 9 10 5 6 13 4 5 10 8 3 5 , 10 8 12 14 13 11 13 4 8 3 8 12 13 4 8 3 8 3 5 -> 10 8 0 3 4 4 11 7 0 12 13 4 4 4 11 13 11 7 1 , 2 0 0 0 3 5 2 1 2 3 11 13 8 0 12 13 8 3 5 -> 2 3 4 5 10 4 8 0 0 0 0 12 14 13 5 2 0 0 1 , 10 5 6 7 12 13 5 2 3 4 4 11 15 9 6 7 12 13 5 -> 10 11 13 4 11 13 8 0 1 9 10 5 9 6 14 7 12 13 5 , 2 0 1 6 14 15 10 4 11 15 2 12 13 4 5 9 6 13 5 -> 2 0 1 6 13 5 10 11 13 11 14 15 9 9 2 3 11 13 5 , 2 0 3 8 0 3 11 15 9 9 9 9 2 1 2 3 11 13 5 -> 2 0 1 9 2 1 9 10 8 0 3 11 13 8 1 10 11 15 9 , 10 8 0 3 5 10 5 10 5 9 10 5 6 15 2 3 11 13 5 -> 10 5 2 3 8 1 9 10 5 10 5 10 4 5 10 11 14 7 1 , 9 2 12 15 10 5 9 9 10 11 7 3 4 5 2 3 11 13 5 -> 9 2 1 2 1 6 13 4 11 7 3 5 10 5 10 11 15 10 5 , 9 2 12 14 15 9 9 9 2 3 8 3 11 13 4 11 15 10 5 -> 9 10 4 5 6 15 6 14 15 2 3 8 0 12 15 9 10 4 5 , 10 8 1 9 2 0 1 2 3 11 13 8 1 2 1 2 3 4 5 -> 10 8 1 10 8 1 2 12 15 10 4 8 1 2 0 3 5 2 1 , 9 2 3 4 11 7 3 4 5 9 9 10 8 12 15 2 3 4 5 -> 9 2 0 1 2 12 15 6 13 8 3 4 4 4 5 9 10 4 5 , 10 4 5 6 15 10 8 0 3 8 3 4 8 0 0 12 13 4 5 -> 10 8 0 3 8 3 5 10 4 4 5 10 11 7 12 7 0 3 5 , 2 0 3 5 6 15 6 13 8 1 2 0 3 4 11 14 13 4 5 -> 2 1 9 10 5 6 7 3 11 7 3 8 3 4 11 14 7 3 5 , 9 9 6 15 6 15 6 13 8 12 7 3 8 0 0 1 10 4 5 -> 9 10 5 10 8 12 7 1 10 11 13 8 12 14 7 1 9 2 1 , 9 10 8 12 15 6 15 9 9 9 6 13 11 15 2 1 10 4 5 -> 9 10 5 2 1 6 15 9 10 11 15 6 14 13 5 9 2 3 5 , 2 3 8 0 3 8 3 11 14 14 13 11 15 6 7 3 4 4 5 -> 2 0 0 3 11 13 8 0 12 14 13 11 15 10 11 13 4 4 5 , 10 5 6 7 1 ->= 10 5 6 7 1 , 2 1 2 3 4 5 6 7 3 8 1 9 2 3 5 2 0 0 3 -> 2 0 0 0 0 1 10 4 8 0 1 9 9 10 5 10 11 7 3 , 10 8 12 13 8 3 8 3 8 1 2 3 11 7 3 8 0 0 3 -> 10 4 8 3 8 1 10 8 0 3 4 8 12 7 0 12 7 0 3 , 9 2 0 3 8 3 11 7 0 12 14 13 8 3 8 1 2 0 3 -> 9 2 0 3 8 1 2 0 3 4 8 3 8 12 14 14 7 0 3 , 9 9 9 9 2 3 4 5 6 14 15 10 11 13 8 1 2 0 3 -> 9 9 6 7 3 5 2 1 2 1 10 11 7 1 6 13 5 10 4 , 2 1 2 12 14 13 4 8 3 5 9 6 15 2 3 5 2 0 3 -> 2 1 10 8 12 15 2 12 13 8 1 10 4 5 9 6 7 0 3 , 9 9 2 3 11 15 2 3 4 5 2 12 13 5 6 13 8 0 3 -> 9 10 11 15 2 0 3 11 7 1 9 6 13 4 8 1 10 8 3 , 2 1 9 6 7 1 6 7 0 3 11 14 15 9 2 0 12 7 3 -> 2 1 9 10 8 12 14 7 1 6 15 9 2 0 0 12 14 7 3 , 10 4 8 1 10 4 11 14 15 9 6 15 2 3 5 2 12 7 3 -> 10 11 14 7 3 5 10 11 7 1 10 4 5 9 2 1 6 7 3 , 10 8 3 8 1 2 3 5 6 7 3 8 1 2 3 11 14 7 3 -> 10 5 10 4 11 7 0 0 1 6 7 12 13 4 5 2 0 0 3 , 10 4 11 14 15 9 2 3 8 12 13 5 2 1 10 5 6 7 3 -> 10 8 12 7 0 1 10 4 5 6 14 13 5 10 5 9 6 7 3 , 6 15 2 0 12 13 4 11 15 2 3 11 15 9 10 5 6 7 3 -> 6 15 9 10 11 15 10 11 7 3 5 2 12 7 12 15 10 8 3 , 9 6 15 10 4 4 11 14 14 13 4 4 4 8 3 11 15 2 3 -> 9 6 7 1 10 4 4 11 13 11 7 12 13 4 4 5 10 11 13 , 9 6 7 12 14 13 4 8 12 7 3 4 11 13 8 1 9 2 3 -> 9 6 13 11 7 12 13 8 0 12 13 5 10 8 1 6 13 8 3 , 2 12 14 14 14 13 4 8 3 11 7 0 3 11 7 0 3 8 3 -> 2 12 14 13 8 12 14 13 11 7 12 13 8 0 3 8 3 8 3 , 2 1 2 1 6 15 6 7 0 0 3 8 12 13 8 0 3 8 3 -> 2 1 10 8 0 12 7 0 3 5 9 2 12 14 7 0 3 8 3 , 2 1 9 9 2 12 15 2 1 9 2 0 0 0 1 2 3 8 3 -> 2 0 0 0 1 2 0 1 9 10 8 0 1 6 15 9 9 2 3 , 10 8 12 15 2 1 10 8 0 3 11 7 3 8 3 8 3 8 3 -> 10 8 3 8 0 3 8 1 10 8 0 12 7 0 3 5 10 11 13 , 6 13 8 1 6 13 5 9 2 3 11 7 3 11 13 8 3 8 3 -> 6 13 5 6 13 5 6 7 3 5 10 8 0 3 8 3 8 12 13 , 9 2 1 2 3 4 11 15 10 5 2 0 1 9 10 8 3 8 3 -> 9 10 5 10 5 10 5 2 0 0 1 9 2 0 12 13 4 8 3 , 9 9 9 10 4 5 6 15 10 4 5 6 15 10 5 6 13 8 3 -> 9 9 9 10 5 9 10 11 13 4 8 1 6 13 5 10 5 6 13 , 6 14 15 9 6 14 15 2 0 12 14 14 7 12 7 1 10 8 3 -> 6 14 15 6 7 12 14 7 0 1 6 15 6 7 12 15 10 8 3 , 2 0 3 8 3 5 10 8 1 2 3 5 9 6 14 14 7 12 13 -> 2 0 12 15 2 1 10 8 1 10 8 12 14 13 8 1 10 11 13 , 9 9 6 7 1 2 1 6 15 10 4 8 1 9 9 6 7 12 13 -> 9 10 5 10 5 2 0 12 14 15 9 2 1 6 15 9 2 12 13 , 10 4 5 9 2 12 13 4 5 6 15 2 3 4 8 3 8 12 13 -> 10 4 5 10 8 0 3 5 9 2 12 13 4 5 6 13 8 12 13 , 10 4 5 9 6 13 4 11 14 13 11 13 8 3 11 7 12 14 13 -> 2 12 15 10 5 10 11 13 11 13 11 13 8 12 13 11 13 11 13 , 2 1 2 0 12 13 4 11 15 9 9 10 11 15 2 12 14 14 13 -> 2 1 6 7 0 3 5 9 10 11 14 15 6 15 10 11 7 12 13 , 2 12 13 4 8 1 9 9 9 9 6 15 6 14 14 14 14 14 13 -> 9 6 14 15 2 12 7 1 6 14 15 6 13 5 9 10 11 14 13 , 10 11 15 2 0 3 4 8 12 13 11 15 6 7 1 6 14 14 13 -> 10 11 13 11 7 0 1 10 8 12 13 8 1 9 6 14 14 14 13 , 6 13 4 4 4 11 7 12 15 9 2 3 8 3 5 6 14 14 13 -> 6 7 3 11 13 11 7 1 10 4 11 13 5 6 7 3 5 6 13 , 10 11 14 14 13 5 2 12 14 13 11 7 12 7 3 11 14 14 13 -> 10 11 14 15 6 13 11 7 12 7 12 14 7 3 11 13 11 14 13 , 6 15 2 1 6 7 0 0 3 4 4 8 1 2 3 11 14 14 13 -> 6 15 10 8 12 7 3 11 7 0 3 8 12 7 1 10 5 6 13 , 6 15 9 9 2 0 0 3 11 15 2 3 5 9 9 9 6 14 13 -> 6 15 9 9 9 2 12 13 5 2 0 1 6 7 3 5 9 6 13 , 6 15 2 3 5 10 8 12 13 8 12 15 6 15 2 3 11 14 13 -> 6 15 2 1 9 6 7 12 14 7 3 4 4 4 5 2 12 14 13 , 10 11 15 10 4 4 5 2 3 11 15 2 1 6 14 13 11 14 13 -> 10 11 7 3 5 9 10 11 14 15 6 13 4 11 15 10 8 12 13 , 6 14 13 5 6 14 7 0 3 11 14 14 14 7 1 2 3 11 13 -> 6 14 7 0 12 14 7 3 11 13 5 10 11 15 6 14 7 12 13 , 9 9 6 14 13 4 5 10 8 12 14 13 11 14 15 2 3 11 13 -> 9 9 6 13 11 14 14 7 12 14 15 10 4 4 8 3 5 6 13 , 9 10 4 4 5 2 12 14 15 9 6 7 3 11 15 2 3 11 13 -> 9 10 5 2 12 7 0 12 13 5 10 11 15 10 11 14 15 10 4 , 6 14 14 14 14 14 15 2 12 14 15 6 13 11 15 2 3 11 13 -> 6 14 15 10 5 6 7 12 14 15 6 7 12 14 14 14 13 11 13 , 9 9 9 10 4 5 6 7 3 8 0 1 10 11 15 2 3 11 13 -> 9 10 5 2 1 10 5 9 10 4 11 7 1 2 0 12 13 11 13 , 10 5 9 9 6 7 3 4 8 0 0 3 11 7 3 11 13 11 13 -> 10 8 3 11 7 1 10 5 10 11 13 8 12 13 5 2 0 12 13 , 6 13 11 14 15 6 15 2 3 11 7 12 15 2 3 11 13 11 13 -> 6 13 4 11 14 14 15 6 13 8 1 9 10 11 7 12 7 12 13 , 10 5 10 5 9 6 13 11 14 15 2 12 13 4 11 13 4 11 13 -> 10 5 10 4 5 6 13 4 5 6 13 8 12 14 15 6 13 11 13 , 10 8 12 13 11 7 1 6 7 1 2 1 10 8 3 8 0 1 10 -> 10 8 12 14 7 0 1 6 7 3 5 9 10 8 3 8 0 1 10 , 9 10 5 2 12 14 15 2 3 11 15 2 3 11 13 11 7 1 10 -> 9 10 8 1 6 7 0 1 6 13 5 10 11 15 6 14 7 3 4 , 2 0 1 2 3 5 9 2 12 13 8 0 0 3 11 15 2 1 10 -> 2 0 1 6 7 3 8 0 3 8 1 6 15 2 1 10 8 1 10 , 2 0 0 1 2 3 11 15 9 9 2 1 2 12 15 9 2 1 10 -> 2 1 9 9 9 9 9 6 7 3 5 2 0 0 12 7 0 1 10 , 10 4 4 4 8 3 8 3 5 6 13 11 15 9 9 9 2 1 10 -> 10 4 4 5 9 9 9 10 11 7 3 4 11 15 2 3 8 1 10 , 2 12 13 8 3 4 5 6 15 6 15 10 8 0 3 11 14 15 10 -> 9 6 13 8 3 4 8 0 1 6 14 7 3 5 10 11 14 15 10 , 6 14 14 15 9 2 3 11 15 9 6 15 2 12 15 9 6 15 10 -> 6 14 15 6 14 14 15 2 12 15 9 10 5 9 6 15 2 1 10 , 10 4 11 13 5 9 10 4 11 15 2 1 2 1 9 9 6 15 10 -> 9 9 10 11 14 7 1 9 2 1 10 4 5 10 5 10 11 15 10 , 9 2 1 2 0 12 7 1 10 8 3 8 1 9 9 9 6 15 10 -> 9 2 3 8 12 15 9 2 1 2 12 7 0 1 9 10 5 9 10 , 9 6 14 13 8 0 0 3 11 15 9 6 15 10 5 10 11 15 10 -> 9 10 11 7 1 6 13 11 15 9 10 11 14 7 0 1 10 5 10 , 9 10 5 9 6 15 10 11 7 1 10 4 5 2 12 7 1 9 10 -> 9 10 11 7 0 0 1 6 13 5 10 5 9 9 10 11 15 9 10 , 6 7 12 14 15 2 12 15 2 12 15 2 3 11 7 12 15 9 10 -> 6 7 1 2 1 6 15 6 14 7 3 11 7 12 14 7 1 9 10 , 6 15 2 3 4 11 7 1 9 2 12 7 3 11 15 6 15 9 10 -> 6 7 0 3 11 7 0 3 5 6 14 15 9 10 11 15 9 9 10 , 9 10 5 6 13 4 8 3 5 2 3 11 13 8 0 3 5 9 10 -> 9 10 5 9 10 11 13 4 8 3 8 0 3 5 10 5 2 12 13 , 6 13 11 15 10 8 12 13 8 1 6 15 2 12 14 7 3 5 10 -> 6 13 8 1 6 7 0 1 10 5 6 13 4 11 14 14 7 1 10 , 2 1 6 13 5 2 1 2 0 3 8 0 1 6 15 2 3 5 10 -> 2 1 9 10 5 2 12 13 8 0 0 1 9 2 12 7 1 10 4 , 9 6 13 4 11 15 9 2 1 2 0 1 6 14 14 14 13 5 10 -> 9 6 14 7 0 12 15 6 15 6 13 11 15 2 3 5 10 5 10 , 10 4 4 4 11 13 8 3 8 3 5 9 6 7 0 0 0 3 4 -> 10 4 4 4 11 14 7 0 0 3 5 10 8 0 0 3 5 10 4 , 2 12 14 13 11 15 6 13 8 3 8 0 3 5 6 14 7 3 4 -> 2 12 14 14 15 10 8 12 7 3 8 12 13 4 5 6 7 3 4 , 9 10 5 10 8 0 3 11 15 10 11 13 11 14 14 15 2 3 4 -> 9 10 11 7 3 4 5 10 11 14 14 7 1 9 6 7 3 4 4 , 2 12 7 1 6 7 12 15 2 1 6 15 2 0 1 9 2 3 4 -> 2 12 7 1 9 10 5 6 15 6 7 0 1 2 1 2 12 7 3 , 6 15 6 15 9 9 10 8 0 0 3 4 5 6 13 5 2 3 4 -> 6 15 6 15 6 7 1 2 1 2 3 5 10 5 10 4 8 3 4 , 2 0 1 10 8 3 5 9 10 4 11 7 12 15 10 5 2 3 4 -> 2 3 8 0 1 6 7 1 9 10 5 6 13 4 5 10 8 3 4 , 10 8 12 14 13 11 13 4 8 3 8 12 13 4 8 3 8 3 4 -> 10 8 0 3 4 4 11 7 0 12 13 4 4 4 11 13 11 7 3 , 2 0 0 0 3 5 2 1 2 3 11 13 8 0 12 13 8 3 4 -> 2 3 4 5 10 4 8 0 0 0 0 12 14 13 5 2 0 0 3 , 10 5 6 7 12 13 5 2 3 4 4 11 15 9 6 7 12 13 4 -> 10 11 13 4 11 13 8 0 1 9 10 5 9 6 14 7 12 13 4 , 2 0 1 6 14 15 10 4 11 15 2 12 13 4 5 9 6 13 4 -> 2 0 1 6 13 5 10 11 13 11 14 15 9 9 2 3 11 13 4 , 2 0 3 8 0 3 11 15 9 9 9 9 2 1 2 3 11 13 4 -> 2 0 1 9 2 1 9 10 8 0 3 11 13 8 1 10 11 15 10 , 10 8 0 3 5 10 5 10 5 9 10 5 6 15 2 3 11 13 4 -> 10 5 2 3 8 1 9 10 5 10 5 10 4 5 10 11 14 7 3 , 9 2 12 15 10 5 9 9 10 11 7 3 4 5 2 3 11 13 4 -> 9 2 1 2 1 6 13 4 11 7 3 5 10 5 10 11 15 10 4 , 9 2 12 14 15 9 9 9 2 3 8 3 11 13 4 11 15 10 4 -> 9 10 4 5 6 15 6 14 15 2 3 8 0 12 15 9 10 4 4 , 10 8 1 9 2 0 1 2 3 11 13 8 1 2 1 2 3 4 4 -> 10 8 1 10 8 1 2 12 15 10 4 8 1 2 0 3 5 2 3 , 9 2 3 4 11 7 3 4 5 9 9 10 8 12 15 2 3 4 4 -> 9 2 0 1 2 12 15 6 13 8 3 4 4 4 5 9 10 4 4 , 10 4 5 6 15 10 8 0 3 8 3 4 8 0 0 12 13 4 4 -> 10 8 0 3 8 3 5 10 4 4 5 10 11 7 12 7 0 3 4 , 2 0 3 5 6 15 6 13 8 1 2 0 3 4 11 14 13 4 4 -> 2 1 9 10 5 6 7 3 11 7 3 8 3 4 11 14 7 3 4 , 9 9 6 15 6 15 6 13 8 12 7 3 8 0 0 1 10 4 4 -> 9 10 5 10 8 12 7 1 10 11 13 8 12 14 7 1 9 2 3 , 9 10 8 12 15 6 15 9 9 9 6 13 11 15 2 1 10 4 4 -> 9 10 5 2 1 6 15 9 10 11 15 6 14 13 5 9 2 3 4 , 2 3 8 0 3 8 3 11 14 14 13 11 15 6 7 3 4 4 4 -> 2 0 0 3 11 13 8 0 12 14 13 11 15 10 11 13 4 4 4 , 10 5 6 7 3 ->= 10 5 6 7 3 , 2 1 2 3 4 5 6 7 3 8 1 9 2 3 5 2 0 0 12 -> 2 0 0 0 0 1 10 4 8 0 1 9 9 10 5 10 11 7 12 , 10 8 12 13 8 3 8 3 8 1 2 3 11 7 3 8 0 0 12 -> 10 4 8 3 8 1 10 8 0 3 4 8 12 7 0 12 7 0 12 , 9 2 0 3 8 3 11 7 0 12 14 13 8 3 8 1 2 0 12 -> 9 2 0 3 8 1 2 0 3 4 8 3 8 12 14 14 7 0 12 , 9 9 9 9 2 3 4 5 6 14 15 10 11 13 8 1 2 0 12 -> 9 9 6 7 3 5 2 1 2 1 10 11 7 1 6 13 5 10 11 , 2 1 2 12 14 13 4 8 3 5 9 6 15 2 3 5 2 0 12 -> 2 1 10 8 12 15 2 12 13 8 1 10 4 5 9 6 7 0 12 , 9 9 2 3 11 15 2 3 4 5 2 12 13 5 6 13 8 0 12 -> 9 10 11 15 2 0 3 11 7 1 9 6 13 4 8 1 10 8 12 , 2 1 9 6 7 1 6 7 0 3 11 14 15 9 2 0 12 7 12 -> 2 1 9 10 8 12 14 7 1 6 15 9 2 0 0 12 14 7 12 , 10 4 8 1 10 4 11 14 15 9 6 15 2 3 5 2 12 7 12 -> 10 11 14 7 3 5 10 11 7 1 10 4 5 9 2 1 6 7 12 , 10 8 3 8 1 2 3 5 6 7 3 8 1 2 3 11 14 7 12 -> 10 5 10 4 11 7 0 0 1 6 7 12 13 4 5 2 0 0 12 , 10 4 11 14 15 9 2 3 8 12 13 5 2 1 10 5 6 7 12 -> 10 8 12 7 0 1 10 4 5 6 14 13 5 10 5 9 6 7 12 , 6 15 2 0 12 13 4 11 15 2 3 11 15 9 10 5 6 7 12 -> 6 15 9 10 11 15 10 11 7 3 5 2 12 7 12 15 10 8 12 , 9 6 15 10 4 4 11 14 14 13 4 4 4 8 3 11 15 2 12 -> 9 6 7 1 10 4 4 11 13 11 7 12 13 4 4 5 10 11 14 , 9 6 7 12 14 13 4 8 12 7 3 4 11 13 8 1 9 2 12 -> 9 6 13 11 7 12 13 8 0 12 13 5 10 8 1 6 13 8 12 , 2 12 14 14 14 13 4 8 3 11 7 0 3 11 7 0 3 8 12 -> 2 12 14 13 8 12 14 13 11 7 12 13 8 0 3 8 3 8 12 , 2 1 2 1 6 15 6 7 0 0 3 8 12 13 8 0 3 8 12 -> 2 1 10 8 0 12 7 0 3 5 9 2 12 14 7 0 3 8 12 , 2 1 9 9 2 12 15 2 1 9 2 0 0 0 1 2 3 8 12 -> 2 0 0 0 1 2 0 1 9 10 8 0 1 6 15 9 9 2 12 , 10 8 12 15 2 1 10 8 0 3 11 7 3 8 3 8 3 8 12 -> 10 8 3 8 0 3 8 1 10 8 0 12 7 0 3 5 10 11 14 , 6 13 8 1 6 13 5 9 2 3 11 7 3 11 13 8 3 8 12 -> 6 13 5 6 13 5 6 7 3 5 10 8 0 3 8 3 8 12 14 , 9 2 1 2 3 4 11 15 10 5 2 0 1 9 10 8 3 8 12 -> 9 10 5 10 5 10 5 2 0 0 1 9 2 0 12 13 4 8 12 , 9 9 9 10 4 5 6 15 10 4 5 6 15 10 5 6 13 8 12 -> 9 9 9 10 5 9 10 11 13 4 8 1 6 13 5 10 5 6 14 , 6 14 15 9 6 14 15 2 0 12 14 14 7 12 7 1 10 8 12 -> 6 14 15 6 7 12 14 7 0 1 6 15 6 7 12 15 10 8 12 , 2 0 3 8 3 5 10 8 1 2 3 5 9 6 14 14 7 12 14 -> 2 0 12 15 2 1 10 8 1 10 8 12 14 13 8 1 10 11 14 , 9 9 6 7 1 2 1 6 15 10 4 8 1 9 9 6 7 12 14 -> 9 10 5 10 5 2 0 12 14 15 9 2 1 6 15 9 2 12 14 , 10 4 5 9 2 12 13 4 5 6 15 2 3 4 8 3 8 12 14 -> 10 4 5 10 8 0 3 5 9 2 12 13 4 5 6 13 8 12 14 , 10 4 5 9 6 13 4 11 14 13 11 13 8 3 11 7 12 14 14 -> 2 12 15 10 5 10 11 13 11 13 11 13 8 12 13 11 13 11 14 , 2 1 2 0 12 13 4 11 15 9 9 10 11 15 2 12 14 14 14 -> 2 1 6 7 0 3 5 9 10 11 14 15 6 15 10 11 7 12 14 , 2 12 13 4 8 1 9 9 9 9 6 15 6 14 14 14 14 14 14 -> 9 6 14 15 2 12 7 1 6 14 15 6 13 5 9 10 11 14 14 , 10 11 15 2 0 3 4 8 12 13 11 15 6 7 1 6 14 14 14 -> 10 11 13 11 7 0 1 10 8 12 13 8 1 9 6 14 14 14 14 , 6 13 4 4 4 11 7 12 15 9 2 3 8 3 5 6 14 14 14 -> 6 7 3 11 13 11 7 1 10 4 11 13 5 6 7 3 5 6 14 , 10 11 14 14 13 5 2 12 14 13 11 7 12 7 3 11 14 14 14 -> 10 11 14 15 6 13 11 7 12 7 12 14 7 3 11 13 11 14 14 , 6 15 2 1 6 7 0 0 3 4 4 8 1 2 3 11 14 14 14 -> 6 15 10 8 12 7 3 11 7 0 3 8 12 7 1 10 5 6 14 , 6 15 9 9 2 0 0 3 11 15 2 3 5 9 9 9 6 14 14 -> 6 15 9 9 9 2 12 13 5 2 0 1 6 7 3 5 9 6 14 , 6 15 2 3 5 10 8 12 13 8 12 15 6 15 2 3 11 14 14 -> 6 15 2 1 9 6 7 12 14 7 3 4 4 4 5 2 12 14 14 , 10 11 15 10 4 4 5 2 3 11 15 2 1 6 14 13 11 14 14 -> 10 11 7 3 5 9 10 11 14 15 6 13 4 11 15 10 8 12 14 , 6 14 13 5 6 14 7 0 3 11 14 14 14 7 1 2 3 11 14 -> 6 14 7 0 12 14 7 3 11 13 5 10 11 15 6 14 7 12 14 , 9 9 6 14 13 4 5 10 8 12 14 13 11 14 15 2 3 11 14 -> 9 9 6 13 11 14 14 7 12 14 15 10 4 4 8 3 5 6 14 , 9 10 4 4 5 2 12 14 15 9 6 7 3 11 15 2 3 11 14 -> 9 10 5 2 12 7 0 12 13 5 10 11 15 10 11 14 15 10 11 , 6 14 14 14 14 14 15 2 12 14 15 6 13 11 15 2 3 11 14 -> 6 14 15 10 5 6 7 12 14 15 6 7 12 14 14 14 13 11 14 , 9 9 9 10 4 5 6 7 3 8 0 1 10 11 15 2 3 11 14 -> 9 10 5 2 1 10 5 9 10 4 11 7 1 2 0 12 13 11 14 , 10 5 9 9 6 7 3 4 8 0 0 3 11 7 3 11 13 11 14 -> 10 8 3 11 7 1 10 5 10 11 13 8 12 13 5 2 0 12 14 , 6 13 11 14 15 6 15 2 3 11 7 12 15 2 3 11 13 11 14 -> 6 13 4 11 14 14 15 6 13 8 1 9 10 11 7 12 7 12 14 , 10 5 10 5 9 6 13 11 14 15 2 12 13 4 11 13 4 11 14 -> 10 5 10 4 5 6 13 4 5 6 13 8 12 14 15 6 13 11 14 , 10 8 12 13 11 7 1 6 7 1 2 1 10 8 3 8 0 1 6 -> 10 8 12 14 7 0 1 6 7 3 5 9 10 8 3 8 0 1 6 , 9 10 5 2 12 14 15 2 3 11 15 2 3 11 13 11 7 1 6 -> 9 10 8 1 6 7 0 1 6 13 5 10 11 15 6 14 7 3 11 , 2 0 1 2 3 5 9 2 12 13 8 0 0 3 11 15 2 1 6 -> 2 0 1 6 7 3 8 0 3 8 1 6 15 2 1 10 8 1 6 , 2 0 0 1 2 3 11 15 9 9 2 1 2 12 15 9 2 1 6 -> 2 1 9 9 9 9 9 6 7 3 5 2 0 0 12 7 0 1 6 , 10 4 4 4 8 3 8 3 5 6 13 11 15 9 9 9 2 1 6 -> 10 4 4 5 9 9 9 10 11 7 3 4 11 15 2 3 8 1 6 , 2 12 13 8 3 4 5 6 15 6 15 10 8 0 3 11 14 15 6 -> 9 6 13 8 3 4 8 0 1 6 14 7 3 5 10 11 14 15 6 , 6 14 14 15 9 2 3 11 15 9 6 15 2 12 15 9 6 15 6 -> 6 14 15 6 14 14 15 2 12 15 9 10 5 9 6 15 2 1 6 , 10 4 11 13 5 9 10 4 11 15 2 1 2 1 9 9 6 15 6 -> 9 9 10 11 14 7 1 9 2 1 10 4 5 10 5 10 11 15 6 , 9 2 1 2 0 12 7 1 10 8 3 8 1 9 9 9 6 15 6 -> 9 2 3 8 12 15 9 2 1 2 12 7 0 1 9 10 5 9 6 , 9 6 14 13 8 0 0 3 11 15 9 6 15 10 5 10 11 15 6 -> 9 10 11 7 1 6 13 11 15 9 10 11 14 7 0 1 10 5 6 , 9 10 5 9 6 15 10 11 7 1 10 4 5 2 12 7 1 9 6 -> 9 10 11 7 0 0 1 6 13 5 10 5 9 9 10 11 15 9 6 , 6 7 12 14 15 2 12 15 2 12 15 2 3 11 7 12 15 9 6 -> 6 7 1 2 1 6 15 6 14 7 3 11 7 12 14 7 1 9 6 , 6 15 2 3 4 11 7 1 9 2 12 7 3 11 15 6 15 9 6 -> 6 7 0 3 11 7 0 3 5 6 14 15 9 10 11 15 9 9 6 , 9 10 5 6 13 4 8 3 5 2 3 11 13 8 0 3 5 9 6 -> 9 10 5 9 10 11 13 4 8 3 8 0 3 5 10 5 2 12 14 , 6 13 11 15 10 8 12 13 8 1 6 15 2 12 14 7 3 5 6 -> 6 13 8 1 6 7 0 1 10 5 6 13 4 11 14 14 7 1 6 , 2 1 6 13 5 2 1 2 0 3 8 0 1 6 15 2 3 5 6 -> 2 1 9 10 5 2 12 13 8 0 0 1 9 2 12 7 1 10 11 , 9 6 13 4 11 15 9 2 1 2 0 1 6 14 14 14 13 5 6 -> 9 6 14 7 0 12 15 6 15 6 13 11 15 2 3 5 10 5 6 , 10 4 4 4 11 13 8 3 8 3 5 9 6 7 0 0 0 3 11 -> 10 4 4 4 11 14 7 0 0 3 5 10 8 0 0 3 5 10 11 , 2 12 14 13 11 15 6 13 8 3 8 0 3 5 6 14 7 3 11 -> 2 12 14 14 15 10 8 12 7 3 8 12 13 4 5 6 7 3 11 , 9 10 5 10 8 0 3 11 15 10 11 13 11 14 14 15 2 3 11 -> 9 10 11 7 3 4 5 10 11 14 14 7 1 9 6 7 3 4 11 , 2 12 7 1 6 7 12 15 2 1 6 15 2 0 1 9 2 3 11 -> 2 12 7 1 9 10 5 6 15 6 7 0 1 2 1 2 12 7 12 , 6 15 6 15 9 9 10 8 0 0 3 4 5 6 13 5 2 3 11 -> 6 15 6 15 6 7 1 2 1 2 3 5 10 5 10 4 8 3 11 , 2 0 1 10 8 3 5 9 10 4 11 7 12 15 10 5 2 3 11 -> 2 3 8 0 1 6 7 1 9 10 5 6 13 4 5 10 8 3 11 , 10 8 12 14 13 11 13 4 8 3 8 12 13 4 8 3 8 3 11 -> 10 8 0 3 4 4 11 7 0 12 13 4 4 4 11 13 11 7 12 , 2 0 0 0 3 5 2 1 2 3 11 13 8 0 12 13 8 3 11 -> 2 3 4 5 10 4 8 0 0 0 0 12 14 13 5 2 0 0 12 , 10 5 6 7 12 13 5 2 3 4 4 11 15 9 6 7 12 13 11 -> 10 11 13 4 11 13 8 0 1 9 10 5 9 6 14 7 12 13 11 , 2 0 1 6 14 15 10 4 11 15 2 12 13 4 5 9 6 13 11 -> 2 0 1 6 13 5 10 11 13 11 14 15 9 9 2 3 11 13 11 , 2 0 3 8 0 3 11 15 9 9 9 9 2 1 2 3 11 13 11 -> 2 0 1 9 2 1 9 10 8 0 3 11 13 8 1 10 11 15 6 , 10 8 0 3 5 10 5 10 5 9 10 5 6 15 2 3 11 13 11 -> 10 5 2 3 8 1 9 10 5 10 5 10 4 5 10 11 14 7 12 , 9 2 12 15 10 5 9 9 10 11 7 3 4 5 2 3 11 13 11 -> 9 2 1 2 1 6 13 4 11 7 3 5 10 5 10 11 15 10 11 , 9 2 12 14 15 9 9 9 2 3 8 3 11 13 4 11 15 10 11 -> 9 10 4 5 6 15 6 14 15 2 3 8 0 12 15 9 10 4 11 , 10 8 1 9 2 0 1 2 3 11 13 8 1 2 1 2 3 4 11 -> 10 8 1 10 8 1 2 12 15 10 4 8 1 2 0 3 5 2 12 , 9 2 3 4 11 7 3 4 5 9 9 10 8 12 15 2 3 4 11 -> 9 2 0 1 2 12 15 6 13 8 3 4 4 4 5 9 10 4 11 , 10 4 5 6 15 10 8 0 3 8 3 4 8 0 0 12 13 4 11 -> 10 8 0 3 8 3 5 10 4 4 5 10 11 7 12 7 0 3 11 , 2 0 3 5 6 15 6 13 8 1 2 0 3 4 11 14 13 4 11 -> 2 1 9 10 5 6 7 3 11 7 3 8 3 4 11 14 7 3 11 , 9 9 6 15 6 15 6 13 8 12 7 3 8 0 0 1 10 4 11 -> 9 10 5 10 8 12 7 1 10 11 13 8 12 14 7 1 9 2 12 , 9 10 8 12 15 6 15 9 9 9 6 13 11 15 2 1 10 4 11 -> 9 10 5 2 1 6 15 9 10 11 15 6 14 13 5 9 2 3 11 , 2 3 8 0 3 8 3 11 14 14 13 11 15 6 7 3 4 4 11 -> 2 0 0 3 11 13 8 0 12 14 13 11 15 10 11 13 4 4 11 , 10 5 6 7 12 ->= 10 5 6 7 12 , 8 1 2 3 4 5 6 7 3 8 1 9 2 3 5 2 0 0 0 -> 8 0 0 0 0 1 10 4 8 0 1 9 9 10 5 10 11 7 0 , 4 8 12 13 8 3 8 3 8 1 2 3 11 7 3 8 0 0 0 -> 4 4 8 3 8 1 10 8 0 3 4 8 12 7 0 12 7 0 0 , 5 2 0 3 8 3 11 7 0 12 14 13 8 3 8 1 2 0 0 -> 5 2 0 3 8 1 2 0 3 4 8 3 8 12 14 14 7 0 0 , 5 9 9 9 2 3 4 5 6 14 15 10 11 13 8 1 2 0 0 -> 5 9 6 7 3 5 2 1 2 1 10 11 7 1 6 13 5 10 8 , 8 1 2 12 14 13 4 8 3 5 9 6 15 2 3 5 2 0 0 -> 8 1 10 8 12 15 2 12 13 8 1 10 4 5 9 6 7 0 0 , 5 9 2 3 11 15 2 3 4 5 2 12 13 5 6 13 8 0 0 -> 5 10 11 15 2 0 3 11 7 1 9 6 13 4 8 1 10 8 0 , 8 1 9 6 7 1 6 7 0 3 11 14 15 9 2 0 12 7 0 -> 8 1 9 10 8 12 14 7 1 6 15 9 2 0 0 12 14 7 0 , 4 4 8 1 10 4 11 14 15 9 6 15 2 3 5 2 12 7 0 -> 4 11 14 7 3 5 10 11 7 1 10 4 5 9 2 1 6 7 0 , 4 8 3 8 1 2 3 5 6 7 3 8 1 2 3 11 14 7 0 -> 4 5 10 4 11 7 0 0 1 6 7 12 13 4 5 2 0 0 0 , 4 4 11 14 15 9 2 3 8 12 13 5 2 1 10 5 6 7 0 -> 4 8 12 7 0 1 10 4 5 6 14 13 5 10 5 9 6 7 0 , 11 15 2 0 12 13 4 11 15 2 3 11 15 9 10 5 6 7 0 -> 11 15 9 10 11 15 10 11 7 3 5 2 12 7 12 15 10 8 0 , 5 6 15 10 4 4 11 14 14 13 4 4 4 8 3 11 15 2 0 -> 5 6 7 1 10 4 4 11 13 11 7 12 13 4 4 5 10 11 7 , 5 6 7 12 14 13 4 8 12 7 3 4 11 13 8 1 9 2 0 -> 5 6 13 11 7 12 13 8 0 12 13 5 10 8 1 6 13 8 0 , 8 12 14 14 14 13 4 8 3 11 7 0 3 11 7 0 3 8 0 -> 8 12 14 13 8 12 14 13 11 7 12 13 8 0 3 8 3 8 0 , 8 1 2 1 6 15 6 7 0 0 3 8 12 13 8 0 3 8 0 -> 8 1 10 8 0 12 7 0 3 5 9 2 12 14 7 0 3 8 0 , 8 1 9 9 2 12 15 2 1 9 2 0 0 0 1 2 3 8 0 -> 8 0 0 0 1 2 0 1 9 10 8 0 1 6 15 9 9 2 0 , 4 8 12 15 2 1 10 8 0 3 11 7 3 8 3 8 3 8 0 -> 4 8 3 8 0 3 8 1 10 8 0 12 7 0 3 5 10 11 7 , 11 13 8 1 6 13 5 9 2 3 11 7 3 11 13 8 3 8 0 -> 11 13 5 6 13 5 6 7 3 5 10 8 0 3 8 3 8 12 7 , 5 2 1 2 3 4 11 15 10 5 2 0 1 9 10 8 3 8 0 -> 5 10 5 10 5 10 5 2 0 0 1 9 2 0 12 13 4 8 0 , 5 9 9 10 4 5 6 15 10 4 5 6 15 10 5 6 13 8 0 -> 5 9 9 10 5 9 10 11 13 4 8 1 6 13 5 10 5 6 7 , 11 14 15 9 6 14 15 2 0 12 14 14 7 12 7 1 10 8 0 -> 11 14 15 6 7 12 14 7 0 1 6 15 6 7 12 15 10 8 0 , 8 0 3 8 3 5 10 8 1 2 3 5 9 6 14 14 7 12 7 -> 8 0 12 15 2 1 10 8 1 10 8 12 14 13 8 1 10 11 7 , 5 9 6 7 1 2 1 6 15 10 4 8 1 9 9 6 7 12 7 -> 5 10 5 10 5 2 0 12 14 15 9 2 1 6 15 9 2 12 7 , 4 4 5 9 2 12 13 4 5 6 15 2 3 4 8 3 8 12 7 -> 4 4 5 10 8 0 3 5 9 2 12 13 4 5 6 13 8 12 7 , 4 4 5 9 6 13 4 11 14 13 11 13 8 3 11 7 12 14 7 -> 8 12 15 10 5 10 11 13 11 13 11 13 8 12 13 11 13 11 7 , 8 1 2 0 12 13 4 11 15 9 9 10 11 15 2 12 14 14 7 -> 8 1 6 7 0 3 5 9 10 11 14 15 6 15 10 11 7 12 7 , 8 12 13 4 8 1 9 9 9 9 6 15 6 14 14 14 14 14 7 -> 5 6 14 15 2 12 7 1 6 14 15 6 13 5 9 10 11 14 7 , 4 11 15 2 0 3 4 8 12 13 11 15 6 7 1 6 14 14 7 -> 4 11 13 11 7 0 1 10 8 12 13 8 1 9 6 14 14 14 7 , 11 13 4 4 4 11 7 12 15 9 2 3 8 3 5 6 14 14 7 -> 11 7 3 11 13 11 7 1 10 4 11 13 5 6 7 3 5 6 7 , 4 11 14 14 13 5 2 12 14 13 11 7 12 7 3 11 14 14 7 -> 4 11 14 15 6 13 11 7 12 7 12 14 7 3 11 13 11 14 7 , 11 15 2 1 6 7 0 0 3 4 4 8 1 2 3 11 14 14 7 -> 11 15 10 8 12 7 3 11 7 0 3 8 12 7 1 10 5 6 7 , 11 15 9 9 2 0 0 3 11 15 2 3 5 9 9 9 6 14 7 -> 11 15 9 9 9 2 12 13 5 2 0 1 6 7 3 5 9 6 7 , 11 15 2 3 5 10 8 12 13 8 12 15 6 15 2 3 11 14 7 -> 11 15 2 1 9 6 7 12 14 7 3 4 4 4 5 2 12 14 7 , 4 11 15 10 4 4 5 2 3 11 15 2 1 6 14 13 11 14 7 -> 4 11 7 3 5 9 10 11 14 15 6 13 4 11 15 10 8 12 7 , 11 14 13 5 6 14 7 0 3 11 14 14 14 7 1 2 3 11 7 -> 11 14 7 0 12 14 7 3 11 13 5 10 11 15 6 14 7 12 7 , 5 9 6 14 13 4 5 10 8 12 14 13 11 14 15 2 3 11 7 -> 5 9 6 13 11 14 14 7 12 14 15 10 4 4 8 3 5 6 7 , 5 10 4 4 5 2 12 14 15 9 6 7 3 11 15 2 3 11 7 -> 5 10 5 2 12 7 0 12 13 5 10 11 15 10 11 14 15 10 8 , 11 14 14 14 14 14 15 2 12 14 15 6 13 11 15 2 3 11 7 -> 11 14 15 10 5 6 7 12 14 15 6 7 12 14 14 14 13 11 7 , 5 9 9 10 4 5 6 7 3 8 0 1 10 11 15 2 3 11 7 -> 5 10 5 2 1 10 5 9 10 4 11 7 1 2 0 12 13 11 7 , 4 5 9 9 6 7 3 4 8 0 0 3 11 7 3 11 13 11 7 -> 4 8 3 11 7 1 10 5 10 11 13 8 12 13 5 2 0 12 7 , 11 13 11 14 15 6 15 2 3 11 7 12 15 2 3 11 13 11 7 -> 11 13 4 11 14 14 15 6 13 8 1 9 10 11 7 12 7 12 7 , 4 5 10 5 9 6 13 11 14 15 2 12 13 4 11 13 4 11 7 -> 4 5 10 4 5 6 13 4 5 6 13 8 12 14 15 6 13 11 7 , 4 8 12 13 11 7 1 6 7 1 2 1 10 8 3 8 0 1 2 -> 4 8 12 14 7 0 1 6 7 3 5 9 10 8 3 8 0 1 2 , 5 10 5 2 12 14 15 2 3 11 15 2 3 11 13 11 7 1 2 -> 5 10 8 1 6 7 0 1 6 13 5 10 11 15 6 14 7 3 8 , 8 0 1 2 3 5 9 2 12 13 8 0 0 3 11 15 2 1 2 -> 8 0 1 6 7 3 8 0 3 8 1 6 15 2 1 10 8 1 2 , 8 0 0 1 2 3 11 15 9 9 2 1 2 12 15 9 2 1 2 -> 8 1 9 9 9 9 9 6 7 3 5 2 0 0 12 7 0 1 2 , 4 4 4 4 8 3 8 3 5 6 13 11 15 9 9 9 2 1 2 -> 4 4 4 5 9 9 9 10 11 7 3 4 11 15 2 3 8 1 2 , 8 12 13 8 3 4 5 6 15 6 15 10 8 0 3 11 14 15 2 -> 5 6 13 8 3 4 8 0 1 6 14 7 3 5 10 11 14 15 2 , 11 14 14 15 9 2 3 11 15 9 6 15 2 12 15 9 6 15 2 -> 11 14 15 6 14 14 15 2 12 15 9 10 5 9 6 15 2 1 2 , 4 4 11 13 5 9 10 4 11 15 2 1 2 1 9 9 6 15 2 -> 5 9 10 11 14 7 1 9 2 1 10 4 5 10 5 10 11 15 2 , 5 2 1 2 0 12 7 1 10 8 3 8 1 9 9 9 6 15 2 -> 5 2 3 8 12 15 9 2 1 2 12 7 0 1 9 10 5 9 2 , 5 6 14 13 8 0 0 3 11 15 9 6 15 10 5 10 11 15 2 -> 5 10 11 7 1 6 13 11 15 9 10 11 14 7 0 1 10 5 2 , 5 10 5 9 6 15 10 11 7 1 10 4 5 2 12 7 1 9 2 -> 5 10 11 7 0 0 1 6 13 5 10 5 9 9 10 11 15 9 2 , 11 7 12 14 15 2 12 15 2 12 15 2 3 11 7 12 15 9 2 -> 11 7 1 2 1 6 15 6 14 7 3 11 7 12 14 7 1 9 2 , 11 15 2 3 4 11 7 1 9 2 12 7 3 11 15 6 15 9 2 -> 11 7 0 3 11 7 0 3 5 6 14 15 9 10 11 15 9 9 2 , 5 10 5 6 13 4 8 3 5 2 3 11 13 8 0 3 5 9 2 -> 5 10 5 9 10 11 13 4 8 3 8 0 3 5 10 5 2 12 7 , 11 13 11 15 10 8 12 13 8 1 6 15 2 12 14 7 3 5 2 -> 11 13 8 1 6 7 0 1 10 5 6 13 4 11 14 14 7 1 2 , 8 1 6 13 5 2 1 2 0 3 8 0 1 6 15 2 3 5 2 -> 8 1 9 10 5 2 12 13 8 0 0 1 9 2 12 7 1 10 8 , 5 6 13 4 11 15 9 2 1 2 0 1 6 14 14 14 13 5 2 -> 5 6 14 7 0 12 15 6 15 6 13 11 15 2 3 5 10 5 2 , 4 4 4 4 11 13 8 3 8 3 5 9 6 7 0 0 0 3 8 -> 4 4 4 4 11 14 7 0 0 3 5 10 8 0 0 3 5 10 8 , 8 12 14 13 11 15 6 13 8 3 8 0 3 5 6 14 7 3 8 -> 8 12 14 14 15 10 8 12 7 3 8 12 13 4 5 6 7 3 8 , 5 10 5 10 8 0 3 11 15 10 11 13 11 14 14 15 2 3 8 -> 5 10 11 7 3 4 5 10 11 14 14 7 1 9 6 7 3 4 8 , 8 12 7 1 6 7 12 15 2 1 6 15 2 0 1 9 2 3 8 -> 8 12 7 1 9 10 5 6 15 6 7 0 1 2 1 2 12 7 0 , 11 15 6 15 9 9 10 8 0 0 3 4 5 6 13 5 2 3 8 -> 11 15 6 15 6 7 1 2 1 2 3 5 10 5 10 4 8 3 8 , 8 0 1 10 8 3 5 9 10 4 11 7 12 15 10 5 2 3 8 -> 8 3 8 0 1 6 7 1 9 10 5 6 13 4 5 10 8 3 8 , 4 8 12 14 13 11 13 4 8 3 8 12 13 4 8 3 8 3 8 -> 4 8 0 3 4 4 11 7 0 12 13 4 4 4 11 13 11 7 0 , 8 0 0 0 3 5 2 1 2 3 11 13 8 0 12 13 8 3 8 -> 8 3 4 5 10 4 8 0 0 0 0 12 14 13 5 2 0 0 0 , 4 5 6 7 12 13 5 2 3 4 4 11 15 9 6 7 12 13 8 -> 4 11 13 4 11 13 8 0 1 9 10 5 9 6 14 7 12 13 8 , 8 0 1 6 14 15 10 4 11 15 2 12 13 4 5 9 6 13 8 -> 8 0 1 6 13 5 10 11 13 11 14 15 9 9 2 3 11 13 8 , 8 0 3 8 0 3 11 15 9 9 9 9 2 1 2 3 11 13 8 -> 8 0 1 9 2 1 9 10 8 0 3 11 13 8 1 10 11 15 2 , 4 8 0 3 5 10 5 10 5 9 10 5 6 15 2 3 11 13 8 -> 4 5 2 3 8 1 9 10 5 10 5 10 4 5 10 11 14 7 0 , 5 2 12 15 10 5 9 9 10 11 7 3 4 5 2 3 11 13 8 -> 5 2 1 2 1 6 13 4 11 7 3 5 10 5 10 11 15 10 8 , 5 2 12 14 15 9 9 9 2 3 8 3 11 13 4 11 15 10 8 -> 5 10 4 5 6 15 6 14 15 2 3 8 0 12 15 9 10 4 8 , 4 8 1 9 2 0 1 2 3 11 13 8 1 2 1 2 3 4 8 -> 4 8 1 10 8 1 2 12 15 10 4 8 1 2 0 3 5 2 0 , 5 2 3 4 11 7 3 4 5 9 9 10 8 12 15 2 3 4 8 -> 5 2 0 1 2 12 15 6 13 8 3 4 4 4 5 9 10 4 8 , 4 4 5 6 15 10 8 0 3 8 3 4 8 0 0 12 13 4 8 -> 4 8 0 3 8 3 5 10 4 4 5 10 11 7 12 7 0 3 8 , 8 0 3 5 6 15 6 13 8 1 2 0 3 4 11 14 13 4 8 -> 8 1 9 10 5 6 7 3 11 7 3 8 3 4 11 14 7 3 8 , 5 9 6 15 6 15 6 13 8 12 7 3 8 0 0 1 10 4 8 -> 5 10 5 10 8 12 7 1 10 11 13 8 12 14 7 1 9 2 0 , 5 10 8 12 15 6 15 9 9 9 6 13 11 15 2 1 10 4 8 -> 5 10 5 2 1 6 15 9 10 11 15 6 14 13 5 9 2 3 8 , 8 3 8 0 3 8 3 11 14 14 13 11 15 6 7 3 4 4 8 -> 8 0 0 3 11 13 8 0 12 14 13 11 15 10 11 13 4 4 8 , 4 5 6 7 0 ->= 4 5 6 7 0 , 8 1 2 3 4 5 6 7 3 8 1 9 2 3 5 2 0 0 1 -> 8 0 0 0 0 1 10 4 8 0 1 9 9 10 5 10 11 7 1 , 4 8 12 13 8 3 8 3 8 1 2 3 11 7 3 8 0 0 1 -> 4 4 8 3 8 1 10 8 0 3 4 8 12 7 0 12 7 0 1 , 5 2 0 3 8 3 11 7 0 12 14 13 8 3 8 1 2 0 1 -> 5 2 0 3 8 1 2 0 3 4 8 3 8 12 14 14 7 0 1 , 5 9 9 9 2 3 4 5 6 14 15 10 11 13 8 1 2 0 1 -> 5 9 6 7 3 5 2 1 2 1 10 11 7 1 6 13 5 10 5 , 8 1 2 12 14 13 4 8 3 5 9 6 15 2 3 5 2 0 1 -> 8 1 10 8 12 15 2 12 13 8 1 10 4 5 9 6 7 0 1 , 5 9 2 3 11 15 2 3 4 5 2 12 13 5 6 13 8 0 1 -> 5 10 11 15 2 0 3 11 7 1 9 6 13 4 8 1 10 8 1 , 8 1 9 6 7 1 6 7 0 3 11 14 15 9 2 0 12 7 1 -> 8 1 9 10 8 12 14 7 1 6 15 9 2 0 0 12 14 7 1 , 4 4 8 1 10 4 11 14 15 9 6 15 2 3 5 2 12 7 1 -> 4 11 14 7 3 5 10 11 7 1 10 4 5 9 2 1 6 7 1 , 4 8 3 8 1 2 3 5 6 7 3 8 1 2 3 11 14 7 1 -> 4 5 10 4 11 7 0 0 1 6 7 12 13 4 5 2 0 0 1 , 4 4 11 14 15 9 2 3 8 12 13 5 2 1 10 5 6 7 1 -> 4 8 12 7 0 1 10 4 5 6 14 13 5 10 5 9 6 7 1 , 11 15 2 0 12 13 4 11 15 2 3 11 15 9 10 5 6 7 1 -> 11 15 9 10 11 15 10 11 7 3 5 2 12 7 12 15 10 8 1 , 5 6 15 10 4 4 11 14 14 13 4 4 4 8 3 11 15 2 1 -> 5 6 7 1 10 4 4 11 13 11 7 12 13 4 4 5 10 11 15 , 5 6 7 12 14 13 4 8 12 7 3 4 11 13 8 1 9 2 1 -> 5 6 13 11 7 12 13 8 0 12 13 5 10 8 1 6 13 8 1 , 8 12 14 14 14 13 4 8 3 11 7 0 3 11 7 0 3 8 1 -> 8 12 14 13 8 12 14 13 11 7 12 13 8 0 3 8 3 8 1 , 8 1 2 1 6 15 6 7 0 0 3 8 12 13 8 0 3 8 1 -> 8 1 10 8 0 12 7 0 3 5 9 2 12 14 7 0 3 8 1 , 8 1 9 9 2 12 15 2 1 9 2 0 0 0 1 2 3 8 1 -> 8 0 0 0 1 2 0 1 9 10 8 0 1 6 15 9 9 2 1 , 4 8 12 15 2 1 10 8 0 3 11 7 3 8 3 8 3 8 1 -> 4 8 3 8 0 3 8 1 10 8 0 12 7 0 3 5 10 11 15 , 11 13 8 1 6 13 5 9 2 3 11 7 3 11 13 8 3 8 1 -> 11 13 5 6 13 5 6 7 3 5 10 8 0 3 8 3 8 12 15 , 5 2 1 2 3 4 11 15 10 5 2 0 1 9 10 8 3 8 1 -> 5 10 5 10 5 10 5 2 0 0 1 9 2 0 12 13 4 8 1 , 5 9 9 10 4 5 6 15 10 4 5 6 15 10 5 6 13 8 1 -> 5 9 9 10 5 9 10 11 13 4 8 1 6 13 5 10 5 6 15 , 11 14 15 9 6 14 15 2 0 12 14 14 7 12 7 1 10 8 1 -> 11 14 15 6 7 12 14 7 0 1 6 15 6 7 12 15 10 8 1 , 8 0 3 8 3 5 10 8 1 2 3 5 9 6 14 14 7 12 15 -> 8 0 12 15 2 1 10 8 1 10 8 12 14 13 8 1 10 11 15 , 5 9 6 7 1 2 1 6 15 10 4 8 1 9 9 6 7 12 15 -> 5 10 5 10 5 2 0 12 14 15 9 2 1 6 15 9 2 12 15 , 4 4 5 9 2 12 13 4 5 6 15 2 3 4 8 3 8 12 15 -> 4 4 5 10 8 0 3 5 9 2 12 13 4 5 6 13 8 12 15 , 4 4 5 9 6 13 4 11 14 13 11 13 8 3 11 7 12 14 15 -> 8 12 15 10 5 10 11 13 11 13 11 13 8 12 13 11 13 11 15 , 8 1 2 0 12 13 4 11 15 9 9 10 11 15 2 12 14 14 15 -> 8 1 6 7 0 3 5 9 10 11 14 15 6 15 10 11 7 12 15 , 8 12 13 4 8 1 9 9 9 9 6 15 6 14 14 14 14 14 15 -> 5 6 14 15 2 12 7 1 6 14 15 6 13 5 9 10 11 14 15 , 4 11 15 2 0 3 4 8 12 13 11 15 6 7 1 6 14 14 15 -> 4 11 13 11 7 0 1 10 8 12 13 8 1 9 6 14 14 14 15 , 11 13 4 4 4 11 7 12 15 9 2 3 8 3 5 6 14 14 15 -> 11 7 3 11 13 11 7 1 10 4 11 13 5 6 7 3 5 6 15 , 4 11 14 14 13 5 2 12 14 13 11 7 12 7 3 11 14 14 15 -> 4 11 14 15 6 13 11 7 12 7 12 14 7 3 11 13 11 14 15 , 11 15 2 1 6 7 0 0 3 4 4 8 1 2 3 11 14 14 15 -> 11 15 10 8 12 7 3 11 7 0 3 8 12 7 1 10 5 6 15 , 11 15 9 9 2 0 0 3 11 15 2 3 5 9 9 9 6 14 15 -> 11 15 9 9 9 2 12 13 5 2 0 1 6 7 3 5 9 6 15 , 11 15 2 3 5 10 8 12 13 8 12 15 6 15 2 3 11 14 15 -> 11 15 2 1 9 6 7 12 14 7 3 4 4 4 5 2 12 14 15 , 4 11 15 10 4 4 5 2 3 11 15 2 1 6 14 13 11 14 15 -> 4 11 7 3 5 9 10 11 14 15 6 13 4 11 15 10 8 12 15 , 11 14 13 5 6 14 7 0 3 11 14 14 14 7 1 2 3 11 15 -> 11 14 7 0 12 14 7 3 11 13 5 10 11 15 6 14 7 12 15 , 5 9 6 14 13 4 5 10 8 12 14 13 11 14 15 2 3 11 15 -> 5 9 6 13 11 14 14 7 12 14 15 10 4 4 8 3 5 6 15 , 5 10 4 4 5 2 12 14 15 9 6 7 3 11 15 2 3 11 15 -> 5 10 5 2 12 7 0 12 13 5 10 11 15 10 11 14 15 10 5 , 11 14 14 14 14 14 15 2 12 14 15 6 13 11 15 2 3 11 15 -> 11 14 15 10 5 6 7 12 14 15 6 7 12 14 14 14 13 11 15 , 5 9 9 10 4 5 6 7 3 8 0 1 10 11 15 2 3 11 15 -> 5 10 5 2 1 10 5 9 10 4 11 7 1 2 0 12 13 11 15 , 4 5 9 9 6 7 3 4 8 0 0 3 11 7 3 11 13 11 15 -> 4 8 3 11 7 1 10 5 10 11 13 8 12 13 5 2 0 12 15 , 11 13 11 14 15 6 15 2 3 11 7 12 15 2 3 11 13 11 15 -> 11 13 4 11 14 14 15 6 13 8 1 9 10 11 7 12 7 12 15 , 4 5 10 5 9 6 13 11 14 15 2 12 13 4 11 13 4 11 15 -> 4 5 10 4 5 6 13 4 5 6 13 8 12 14 15 6 13 11 15 , 4 8 12 13 11 7 1 6 7 1 2 1 10 8 3 8 0 1 9 -> 4 8 12 14 7 0 1 6 7 3 5 9 10 8 3 8 0 1 9 , 5 10 5 2 12 14 15 2 3 11 15 2 3 11 13 11 7 1 9 -> 5 10 8 1 6 7 0 1 6 13 5 10 11 15 6 14 7 3 5 , 8 0 1 2 3 5 9 2 12 13 8 0 0 3 11 15 2 1 9 -> 8 0 1 6 7 3 8 0 3 8 1 6 15 2 1 10 8 1 9 , 8 0 0 1 2 3 11 15 9 9 2 1 2 12 15 9 2 1 9 -> 8 1 9 9 9 9 9 6 7 3 5 2 0 0 12 7 0 1 9 , 4 4 4 4 8 3 8 3 5 6 13 11 15 9 9 9 2 1 9 -> 4 4 4 5 9 9 9 10 11 7 3 4 11 15 2 3 8 1 9 , 8 12 13 8 3 4 5 6 15 6 15 10 8 0 3 11 14 15 9 -> 5 6 13 8 3 4 8 0 1 6 14 7 3 5 10 11 14 15 9 , 11 14 14 15 9 2 3 11 15 9 6 15 2 12 15 9 6 15 9 -> 11 14 15 6 14 14 15 2 12 15 9 10 5 9 6 15 2 1 9 , 4 4 11 13 5 9 10 4 11 15 2 1 2 1 9 9 6 15 9 -> 5 9 10 11 14 7 1 9 2 1 10 4 5 10 5 10 11 15 9 , 5 2 1 2 0 12 7 1 10 8 3 8 1 9 9 9 6 15 9 -> 5 2 3 8 12 15 9 2 1 2 12 7 0 1 9 10 5 9 9 , 5 6 14 13 8 0 0 3 11 15 9 6 15 10 5 10 11 15 9 -> 5 10 11 7 1 6 13 11 15 9 10 11 14 7 0 1 10 5 9 , 5 10 5 9 6 15 10 11 7 1 10 4 5 2 12 7 1 9 9 -> 5 10 11 7 0 0 1 6 13 5 10 5 9 9 10 11 15 9 9 , 11 7 12 14 15 2 12 15 2 12 15 2 3 11 7 12 15 9 9 -> 11 7 1 2 1 6 15 6 14 7 3 11 7 12 14 7 1 9 9 , 11 15 2 3 4 11 7 1 9 2 12 7 3 11 15 6 15 9 9 -> 11 7 0 3 11 7 0 3 5 6 14 15 9 10 11 15 9 9 9 , 5 10 5 6 13 4 8 3 5 2 3 11 13 8 0 3 5 9 9 -> 5 10 5 9 10 11 13 4 8 3 8 0 3 5 10 5 2 12 15 , 11 13 11 15 10 8 12 13 8 1 6 15 2 12 14 7 3 5 9 -> 11 13 8 1 6 7 0 1 10 5 6 13 4 11 14 14 7 1 9 , 8 1 6 13 5 2 1 2 0 3 8 0 1 6 15 2 3 5 9 -> 8 1 9 10 5 2 12 13 8 0 0 1 9 2 12 7 1 10 5 , 5 6 13 4 11 15 9 2 1 2 0 1 6 14 14 14 13 5 9 -> 5 6 14 7 0 12 15 6 15 6 13 11 15 2 3 5 10 5 9 , 4 4 4 4 11 13 8 3 8 3 5 9 6 7 0 0 0 3 5 -> 4 4 4 4 11 14 7 0 0 3 5 10 8 0 0 3 5 10 5 , 8 12 14 13 11 15 6 13 8 3 8 0 3 5 6 14 7 3 5 -> 8 12 14 14 15 10 8 12 7 3 8 12 13 4 5 6 7 3 5 , 5 10 5 10 8 0 3 11 15 10 11 13 11 14 14 15 2 3 5 -> 5 10 11 7 3 4 5 10 11 14 14 7 1 9 6 7 3 4 5 , 8 12 7 1 6 7 12 15 2 1 6 15 2 0 1 9 2 3 5 -> 8 12 7 1 9 10 5 6 15 6 7 0 1 2 1 2 12 7 1 , 11 15 6 15 9 9 10 8 0 0 3 4 5 6 13 5 2 3 5 -> 11 15 6 15 6 7 1 2 1 2 3 5 10 5 10 4 8 3 5 , 8 0 1 10 8 3 5 9 10 4 11 7 12 15 10 5 2 3 5 -> 8 3 8 0 1 6 7 1 9 10 5 6 13 4 5 10 8 3 5 , 4 8 12 14 13 11 13 4 8 3 8 12 13 4 8 3 8 3 5 -> 4 8 0 3 4 4 11 7 0 12 13 4 4 4 11 13 11 7 1 , 8 0 0 0 3 5 2 1 2 3 11 13 8 0 12 13 8 3 5 -> 8 3 4 5 10 4 8 0 0 0 0 12 14 13 5 2 0 0 1 , 4 5 6 7 12 13 5 2 3 4 4 11 15 9 6 7 12 13 5 -> 4 11 13 4 11 13 8 0 1 9 10 5 9 6 14 7 12 13 5 , 8 0 1 6 14 15 10 4 11 15 2 12 13 4 5 9 6 13 5 -> 8 0 1 6 13 5 10 11 13 11 14 15 9 9 2 3 11 13 5 , 8 0 3 8 0 3 11 15 9 9 9 9 2 1 2 3 11 13 5 -> 8 0 1 9 2 1 9 10 8 0 3 11 13 8 1 10 11 15 9 , 4 8 0 3 5 10 5 10 5 9 10 5 6 15 2 3 11 13 5 -> 4 5 2 3 8 1 9 10 5 10 5 10 4 5 10 11 14 7 1 , 5 2 12 15 10 5 9 9 10 11 7 3 4 5 2 3 11 13 5 -> 5 2 1 2 1 6 13 4 11 7 3 5 10 5 10 11 15 10 5 , 5 2 12 14 15 9 9 9 2 3 8 3 11 13 4 11 15 10 5 -> 5 10 4 5 6 15 6 14 15 2 3 8 0 12 15 9 10 4 5 , 4 8 1 9 2 0 1 2 3 11 13 8 1 2 1 2 3 4 5 -> 4 8 1 10 8 1 2 12 15 10 4 8 1 2 0 3 5 2 1 , 5 2 3 4 11 7 3 4 5 9 9 10 8 12 15 2 3 4 5 -> 5 2 0 1 2 12 15 6 13 8 3 4 4 4 5 9 10 4 5 , 4 4 5 6 15 10 8 0 3 8 3 4 8 0 0 12 13 4 5 -> 4 8 0 3 8 3 5 10 4 4 5 10 11 7 12 7 0 3 5 , 8 0 3 5 6 15 6 13 8 1 2 0 3 4 11 14 13 4 5 -> 8 1 9 10 5 6 7 3 11 7 3 8 3 4 11 14 7 3 5 , 5 9 6 15 6 15 6 13 8 12 7 3 8 0 0 1 10 4 5 -> 5 10 5 10 8 12 7 1 10 11 13 8 12 14 7 1 9 2 1 , 5 10 8 12 15 6 15 9 9 9 6 13 11 15 2 1 10 4 5 -> 5 10 5 2 1 6 15 9 10 11 15 6 14 13 5 9 2 3 5 , 8 3 8 0 3 8 3 11 14 14 13 11 15 6 7 3 4 4 5 -> 8 0 0 3 11 13 8 0 12 14 13 11 15 10 11 13 4 4 5 , 4 5 6 7 1 ->= 4 5 6 7 1 , 8 1 2 3 4 5 6 7 3 8 1 9 2 3 5 2 0 0 3 -> 8 0 0 0 0 1 10 4 8 0 1 9 9 10 5 10 11 7 3 , 4 8 12 13 8 3 8 3 8 1 2 3 11 7 3 8 0 0 3 -> 4 4 8 3 8 1 10 8 0 3 4 8 12 7 0 12 7 0 3 , 5 2 0 3 8 3 11 7 0 12 14 13 8 3 8 1 2 0 3 -> 5 2 0 3 8 1 2 0 3 4 8 3 8 12 14 14 7 0 3 , 5 9 9 9 2 3 4 5 6 14 15 10 11 13 8 1 2 0 3 -> 5 9 6 7 3 5 2 1 2 1 10 11 7 1 6 13 5 10 4 , 8 1 2 12 14 13 4 8 3 5 9 6 15 2 3 5 2 0 3 -> 8 1 10 8 12 15 2 12 13 8 1 10 4 5 9 6 7 0 3 , 5 9 2 3 11 15 2 3 4 5 2 12 13 5 6 13 8 0 3 -> 5 10 11 15 2 0 3 11 7 1 9 6 13 4 8 1 10 8 3 , 8 1 9 6 7 1 6 7 0 3 11 14 15 9 2 0 12 7 3 -> 8 1 9 10 8 12 14 7 1 6 15 9 2 0 0 12 14 7 3 , 4 4 8 1 10 4 11 14 15 9 6 15 2 3 5 2 12 7 3 -> 4 11 14 7 3 5 10 11 7 1 10 4 5 9 2 1 6 7 3 , 4 8 3 8 1 2 3 5 6 7 3 8 1 2 3 11 14 7 3 -> 4 5 10 4 11 7 0 0 1 6 7 12 13 4 5 2 0 0 3 , 4 4 11 14 15 9 2 3 8 12 13 5 2 1 10 5 6 7 3 -> 4 8 12 7 0 1 10 4 5 6 14 13 5 10 5 9 6 7 3 , 11 15 2 0 12 13 4 11 15 2 3 11 15 9 10 5 6 7 3 -> 11 15 9 10 11 15 10 11 7 3 5 2 12 7 12 15 10 8 3 , 5 6 15 10 4 4 11 14 14 13 4 4 4 8 3 11 15 2 3 -> 5 6 7 1 10 4 4 11 13 11 7 12 13 4 4 5 10 11 13 , 5 6 7 12 14 13 4 8 12 7 3 4 11 13 8 1 9 2 3 -> 5 6 13 11 7 12 13 8 0 12 13 5 10 8 1 6 13 8 3 , 8 12 14 14 14 13 4 8 3 11 7 0 3 11 7 0 3 8 3 -> 8 12 14 13 8 12 14 13 11 7 12 13 8 0 3 8 3 8 3 , 8 1 2 1 6 15 6 7 0 0 3 8 12 13 8 0 3 8 3 -> 8 1 10 8 0 12 7 0 3 5 9 2 12 14 7 0 3 8 3 , 8 1 9 9 2 12 15 2 1 9 2 0 0 0 1 2 3 8 3 -> 8 0 0 0 1 2 0 1 9 10 8 0 1 6 15 9 9 2 3 , 4 8 12 15 2 1 10 8 0 3 11 7 3 8 3 8 3 8 3 -> 4 8 3 8 0 3 8 1 10 8 0 12 7 0 3 5 10 11 13 , 11 13 8 1 6 13 5 9 2 3 11 7 3 11 13 8 3 8 3 -> 11 13 5 6 13 5 6 7 3 5 10 8 0 3 8 3 8 12 13 , 5 2 1 2 3 4 11 15 10 5 2 0 1 9 10 8 3 8 3 -> 5 10 5 10 5 10 5 2 0 0 1 9 2 0 12 13 4 8 3 , 5 9 9 10 4 5 6 15 10 4 5 6 15 10 5 6 13 8 3 -> 5 9 9 10 5 9 10 11 13 4 8 1 6 13 5 10 5 6 13 , 11 14 15 9 6 14 15 2 0 12 14 14 7 12 7 1 10 8 3 -> 11 14 15 6 7 12 14 7 0 1 6 15 6 7 12 15 10 8 3 , 8 0 3 8 3 5 10 8 1 2 3 5 9 6 14 14 7 12 13 -> 8 0 12 15 2 1 10 8 1 10 8 12 14 13 8 1 10 11 13 , 5 9 6 7 1 2 1 6 15 10 4 8 1 9 9 6 7 12 13 -> 5 10 5 10 5 2 0 12 14 15 9 2 1 6 15 9 2 12 13 , 4 4 5 9 2 12 13 4 5 6 15 2 3 4 8 3 8 12 13 -> 4 4 5 10 8 0 3 5 9 2 12 13 4 5 6 13 8 12 13 , 4 4 5 9 6 13 4 11 14 13 11 13 8 3 11 7 12 14 13 -> 8 12 15 10 5 10 11 13 11 13 11 13 8 12 13 11 13 11 13 , 8 1 2 0 12 13 4 11 15 9 9 10 11 15 2 12 14 14 13 -> 8 1 6 7 0 3 5 9 10 11 14 15 6 15 10 11 7 12 13 , 8 12 13 4 8 1 9 9 9 9 6 15 6 14 14 14 14 14 13 -> 5 6 14 15 2 12 7 1 6 14 15 6 13 5 9 10 11 14 13 , 4 11 15 2 0 3 4 8 12 13 11 15 6 7 1 6 14 14 13 -> 4 11 13 11 7 0 1 10 8 12 13 8 1 9 6 14 14 14 13 , 11 13 4 4 4 11 7 12 15 9 2 3 8 3 5 6 14 14 13 -> 11 7 3 11 13 11 7 1 10 4 11 13 5 6 7 3 5 6 13 , 4 11 14 14 13 5 2 12 14 13 11 7 12 7 3 11 14 14 13 -> 4 11 14 15 6 13 11 7 12 7 12 14 7 3 11 13 11 14 13 , 11 15 2 1 6 7 0 0 3 4 4 8 1 2 3 11 14 14 13 -> 11 15 10 8 12 7 3 11 7 0 3 8 12 7 1 10 5 6 13 , 11 15 9 9 2 0 0 3 11 15 2 3 5 9 9 9 6 14 13 -> 11 15 9 9 9 2 12 13 5 2 0 1 6 7 3 5 9 6 13 , 11 15 2 3 5 10 8 12 13 8 12 15 6 15 2 3 11 14 13 -> 11 15 2 1 9 6 7 12 14 7 3 4 4 4 5 2 12 14 13 , 4 11 15 10 4 4 5 2 3 11 15 2 1 6 14 13 11 14 13 -> 4 11 7 3 5 9 10 11 14 15 6 13 4 11 15 10 8 12 13 , 11 14 13 5 6 14 7 0 3 11 14 14 14 7 1 2 3 11 13 -> 11 14 7 0 12 14 7 3 11 13 5 10 11 15 6 14 7 12 13 , 5 9 6 14 13 4 5 10 8 12 14 13 11 14 15 2 3 11 13 -> 5 9 6 13 11 14 14 7 12 14 15 10 4 4 8 3 5 6 13 , 5 10 4 4 5 2 12 14 15 9 6 7 3 11 15 2 3 11 13 -> 5 10 5 2 12 7 0 12 13 5 10 11 15 10 11 14 15 10 4 , 11 14 14 14 14 14 15 2 12 14 15 6 13 11 15 2 3 11 13 -> 11 14 15 10 5 6 7 12 14 15 6 7 12 14 14 14 13 11 13 , 5 9 9 10 4 5 6 7 3 8 0 1 10 11 15 2 3 11 13 -> 5 10 5 2 1 10 5 9 10 4 11 7 1 2 0 12 13 11 13 , 4 5 9 9 6 7 3 4 8 0 0 3 11 7 3 11 13 11 13 -> 4 8 3 11 7 1 10 5 10 11 13 8 12 13 5 2 0 12 13 , 11 13 11 14 15 6 15 2 3 11 7 12 15 2 3 11 13 11 13 -> 11 13 4 11 14 14 15 6 13 8 1 9 10 11 7 12 7 12 13 , 4 5 10 5 9 6 13 11 14 15 2 12 13 4 11 13 4 11 13 -> 4 5 10 4 5 6 13 4 5 6 13 8 12 14 15 6 13 11 13 , 4 8 12 13 11 7 1 6 7 1 2 1 10 8 3 8 0 1 10 -> 4 8 12 14 7 0 1 6 7 3 5 9 10 8 3 8 0 1 10 , 5 10 5 2 12 14 15 2 3 11 15 2 3 11 13 11 7 1 10 -> 5 10 8 1 6 7 0 1 6 13 5 10 11 15 6 14 7 3 4 , 8 0 1 2 3 5 9 2 12 13 8 0 0 3 11 15 2 1 10 -> 8 0 1 6 7 3 8 0 3 8 1 6 15 2 1 10 8 1 10 , 8 0 0 1 2 3 11 15 9 9 2 1 2 12 15 9 2 1 10 -> 8 1 9 9 9 9 9 6 7 3 5 2 0 0 12 7 0 1 10 , 4 4 4 4 8 3 8 3 5 6 13 11 15 9 9 9 2 1 10 -> 4 4 4 5 9 9 9 10 11 7 3 4 11 15 2 3 8 1 10 , 8 12 13 8 3 4 5 6 15 6 15 10 8 0 3 11 14 15 10 -> 5 6 13 8 3 4 8 0 1 6 14 7 3 5 10 11 14 15 10 , 11 14 14 15 9 2 3 11 15 9 6 15 2 12 15 9 6 15 10 -> 11 14 15 6 14 14 15 2 12 15 9 10 5 9 6 15 2 1 10 , 4 4 11 13 5 9 10 4 11 15 2 1 2 1 9 9 6 15 10 -> 5 9 10 11 14 7 1 9 2 1 10 4 5 10 5 10 11 15 10 , 5 2 1 2 0 12 7 1 10 8 3 8 1 9 9 9 6 15 10 -> 5 2 3 8 12 15 9 2 1 2 12 7 0 1 9 10 5 9 10 , 5 6 14 13 8 0 0 3 11 15 9 6 15 10 5 10 11 15 10 -> 5 10 11 7 1 6 13 11 15 9 10 11 14 7 0 1 10 5 10 , 5 10 5 9 6 15 10 11 7 1 10 4 5 2 12 7 1 9 10 -> 5 10 11 7 0 0 1 6 13 5 10 5 9 9 10 11 15 9 10 , 11 7 12 14 15 2 12 15 2 12 15 2 3 11 7 12 15 9 10 -> 11 7 1 2 1 6 15 6 14 7 3 11 7 12 14 7 1 9 10 , 11 15 2 3 4 11 7 1 9 2 12 7 3 11 15 6 15 9 10 -> 11 7 0 3 11 7 0 3 5 6 14 15 9 10 11 15 9 9 10 , 5 10 5 6 13 4 8 3 5 2 3 11 13 8 0 3 5 9 10 -> 5 10 5 9 10 11 13 4 8 3 8 0 3 5 10 5 2 12 13 , 11 13 11 15 10 8 12 13 8 1 6 15 2 12 14 7 3 5 10 -> 11 13 8 1 6 7 0 1 10 5 6 13 4 11 14 14 7 1 10 , 8 1 6 13 5 2 1 2 0 3 8 0 1 6 15 2 3 5 10 -> 8 1 9 10 5 2 12 13 8 0 0 1 9 2 12 7 1 10 4 , 5 6 13 4 11 15 9 2 1 2 0 1 6 14 14 14 13 5 10 -> 5 6 14 7 0 12 15 6 15 6 13 11 15 2 3 5 10 5 10 , 4 4 4 4 11 13 8 3 8 3 5 9 6 7 0 0 0 3 4 -> 4 4 4 4 11 14 7 0 0 3 5 10 8 0 0 3 5 10 4 , 8 12 14 13 11 15 6 13 8 3 8 0 3 5 6 14 7 3 4 -> 8 12 14 14 15 10 8 12 7 3 8 12 13 4 5 6 7 3 4 , 5 10 5 10 8 0 3 11 15 10 11 13 11 14 14 15 2 3 4 -> 5 10 11 7 3 4 5 10 11 14 14 7 1 9 6 7 3 4 4 , 8 12 7 1 6 7 12 15 2 1 6 15 2 0 1 9 2 3 4 -> 8 12 7 1 9 10 5 6 15 6 7 0 1 2 1 2 12 7 3 , 11 15 6 15 9 9 10 8 0 0 3 4 5 6 13 5 2 3 4 -> 11 15 6 15 6 7 1 2 1 2 3 5 10 5 10 4 8 3 4 , 8 0 1 10 8 3 5 9 10 4 11 7 12 15 10 5 2 3 4 -> 8 3 8 0 1 6 7 1 9 10 5 6 13 4 5 10 8 3 4 , 4 8 12 14 13 11 13 4 8 3 8 12 13 4 8 3 8 3 4 -> 4 8 0 3 4 4 11 7 0 12 13 4 4 4 11 13 11 7 3 , 8 0 0 0 3 5 2 1 2 3 11 13 8 0 12 13 8 3 4 -> 8 3 4 5 10 4 8 0 0 0 0 12 14 13 5 2 0 0 3 , 4 5 6 7 12 13 5 2 3 4 4 11 15 9 6 7 12 13 4 -> 4 11 13 4 11 13 8 0 1 9 10 5 9 6 14 7 12 13 4 , 8 0 1 6 14 15 10 4 11 15 2 12 13 4 5 9 6 13 4 -> 8 0 1 6 13 5 10 11 13 11 14 15 9 9 2 3 11 13 4 , 8 0 3 8 0 3 11 15 9 9 9 9 2 1 2 3 11 13 4 -> 8 0 1 9 2 1 9 10 8 0 3 11 13 8 1 10 11 15 10 , 4 8 0 3 5 10 5 10 5 9 10 5 6 15 2 3 11 13 4 -> 4 5 2 3 8 1 9 10 5 10 5 10 4 5 10 11 14 7 3 , 5 2 12 15 10 5 9 9 10 11 7 3 4 5 2 3 11 13 4 -> 5 2 1 2 1 6 13 4 11 7 3 5 10 5 10 11 15 10 4 , 5 2 12 14 15 9 9 9 2 3 8 3 11 13 4 11 15 10 4 -> 5 10 4 5 6 15 6 14 15 2 3 8 0 12 15 9 10 4 4 , 4 8 1 9 2 0 1 2 3 11 13 8 1 2 1 2 3 4 4 -> 4 8 1 10 8 1 2 12 15 10 4 8 1 2 0 3 5 2 3 , 5 2 3 4 11 7 3 4 5 9 9 10 8 12 15 2 3 4 4 -> 5 2 0 1 2 12 15 6 13 8 3 4 4 4 5 9 10 4 4 , 4 4 5 6 15 10 8 0 3 8 3 4 8 0 0 12 13 4 4 -> 4 8 0 3 8 3 5 10 4 4 5 10 11 7 12 7 0 3 4 , 8 0 3 5 6 15 6 13 8 1 2 0 3 4 11 14 13 4 4 -> 8 1 9 10 5 6 7 3 11 7 3 8 3 4 11 14 7 3 4 , 5 9 6 15 6 15 6 13 8 12 7 3 8 0 0 1 10 4 4 -> 5 10 5 10 8 12 7 1 10 11 13 8 12 14 7 1 9 2 3 , 5 10 8 12 15 6 15 9 9 9 6 13 11 15 2 1 10 4 4 -> 5 10 5 2 1 6 15 9 10 11 15 6 14 13 5 9 2 3 4 , 8 3 8 0 3 8 3 11 14 14 13 11 15 6 7 3 4 4 4 -> 8 0 0 3 11 13 8 0 12 14 13 11 15 10 11 13 4 4 4 , 4 5 6 7 3 ->= 4 5 6 7 3 , 8 1 2 3 4 5 6 7 3 8 1 9 2 3 5 2 0 0 12 -> 8 0 0 0 0 1 10 4 8 0 1 9 9 10 5 10 11 7 12 , 4 8 12 13 8 3 8 3 8 1 2 3 11 7 3 8 0 0 12 -> 4 4 8 3 8 1 10 8 0 3 4 8 12 7 0 12 7 0 12 , 5 2 0 3 8 3 11 7 0 12 14 13 8 3 8 1 2 0 12 -> 5 2 0 3 8 1 2 0 3 4 8 3 8 12 14 14 7 0 12 , 5 9 9 9 2 3 4 5 6 14 15 10 11 13 8 1 2 0 12 -> 5 9 6 7 3 5 2 1 2 1 10 11 7 1 6 13 5 10 11 , 8 1 2 12 14 13 4 8 3 5 9 6 15 2 3 5 2 0 12 -> 8 1 10 8 12 15 2 12 13 8 1 10 4 5 9 6 7 0 12 , 5 9 2 3 11 15 2 3 4 5 2 12 13 5 6 13 8 0 12 -> 5 10 11 15 2 0 3 11 7 1 9 6 13 4 8 1 10 8 12 , 8 1 9 6 7 1 6 7 0 3 11 14 15 9 2 0 12 7 12 -> 8 1 9 10 8 12 14 7 1 6 15 9 2 0 0 12 14 7 12 , 4 4 8 1 10 4 11 14 15 9 6 15 2 3 5 2 12 7 12 -> 4 11 14 7 3 5 10 11 7 1 10 4 5 9 2 1 6 7 12 , 4 8 3 8 1 2 3 5 6 7 3 8 1 2 3 11 14 7 12 -> 4 5 10 4 11 7 0 0 1 6 7 12 13 4 5 2 0 0 12 , 4 4 11 14 15 9 2 3 8 12 13 5 2 1 10 5 6 7 12 -> 4 8 12 7 0 1 10 4 5 6 14 13 5 10 5 9 6 7 12 , 11 15 2 0 12 13 4 11 15 2 3 11 15 9 10 5 6 7 12 -> 11 15 9 10 11 15 10 11 7 3 5 2 12 7 12 15 10 8 12 , 5 6 15 10 4 4 11 14 14 13 4 4 4 8 3 11 15 2 12 -> 5 6 7 1 10 4 4 11 13 11 7 12 13 4 4 5 10 11 14 , 5 6 7 12 14 13 4 8 12 7 3 4 11 13 8 1 9 2 12 -> 5 6 13 11 7 12 13 8 0 12 13 5 10 8 1 6 13 8 12 , 8 12 14 14 14 13 4 8 3 11 7 0 3 11 7 0 3 8 12 -> 8 12 14 13 8 12 14 13 11 7 12 13 8 0 3 8 3 8 12 , 8 1 2 1 6 15 6 7 0 0 3 8 12 13 8 0 3 8 12 -> 8 1 10 8 0 12 7 0 3 5 9 2 12 14 7 0 3 8 12 , 8 1 9 9 2 12 15 2 1 9 2 0 0 0 1 2 3 8 12 -> 8 0 0 0 1 2 0 1 9 10 8 0 1 6 15 9 9 2 12 , 4 8 12 15 2 1 10 8 0 3 11 7 3 8 3 8 3 8 12 -> 4 8 3 8 0 3 8 1 10 8 0 12 7 0 3 5 10 11 14 , 11 13 8 1 6 13 5 9 2 3 11 7 3 11 13 8 3 8 12 -> 11 13 5 6 13 5 6 7 3 5 10 8 0 3 8 3 8 12 14 , 5 2 1 2 3 4 11 15 10 5 2 0 1 9 10 8 3 8 12 -> 5 10 5 10 5 10 5 2 0 0 1 9 2 0 12 13 4 8 12 , 5 9 9 10 4 5 6 15 10 4 5 6 15 10 5 6 13 8 12 -> 5 9 9 10 5 9 10 11 13 4 8 1 6 13 5 10 5 6 14 , 11 14 15 9 6 14 15 2 0 12 14 14 7 12 7 1 10 8 12 -> 11 14 15 6 7 12 14 7 0 1 6 15 6 7 12 15 10 8 12 , 8 0 3 8 3 5 10 8 1 2 3 5 9 6 14 14 7 12 14 -> 8 0 12 15 2 1 10 8 1 10 8 12 14 13 8 1 10 11 14 , 5 9 6 7 1 2 1 6 15 10 4 8 1 9 9 6 7 12 14 -> 5 10 5 10 5 2 0 12 14 15 9 2 1 6 15 9 2 12 14 , 4 4 5 9 2 12 13 4 5 6 15 2 3 4 8 3 8 12 14 -> 4 4 5 10 8 0 3 5 9 2 12 13 4 5 6 13 8 12 14 , 4 4 5 9 6 13 4 11 14 13 11 13 8 3 11 7 12 14 14 -> 8 12 15 10 5 10 11 13 11 13 11 13 8 12 13 11 13 11 14 , 8 1 2 0 12 13 4 11 15 9 9 10 11 15 2 12 14 14 14 -> 8 1 6 7 0 3 5 9 10 11 14 15 6 15 10 11 7 12 14 , 8 12 13 4 8 1 9 9 9 9 6 15 6 14 14 14 14 14 14 -> 5 6 14 15 2 12 7 1 6 14 15 6 13 5 9 10 11 14 14 , 4 11 15 2 0 3 4 8 12 13 11 15 6 7 1 6 14 14 14 -> 4 11 13 11 7 0 1 10 8 12 13 8 1 9 6 14 14 14 14 , 11 13 4 4 4 11 7 12 15 9 2 3 8 3 5 6 14 14 14 -> 11 7 3 11 13 11 7 1 10 4 11 13 5 6 7 3 5 6 14 , 4 11 14 14 13 5 2 12 14 13 11 7 12 7 3 11 14 14 14 -> 4 11 14 15 6 13 11 7 12 7 12 14 7 3 11 13 11 14 14 , 11 15 2 1 6 7 0 0 3 4 4 8 1 2 3 11 14 14 14 -> 11 15 10 8 12 7 3 11 7 0 3 8 12 7 1 10 5 6 14 , 11 15 9 9 2 0 0 3 11 15 2 3 5 9 9 9 6 14 14 -> 11 15 9 9 9 2 12 13 5 2 0 1 6 7 3 5 9 6 14 , 11 15 2 3 5 10 8 12 13 8 12 15 6 15 2 3 11 14 14 -> 11 15 2 1 9 6 7 12 14 7 3 4 4 4 5 2 12 14 14 , 4 11 15 10 4 4 5 2 3 11 15 2 1 6 14 13 11 14 14 -> 4 11 7 3 5 9 10 11 14 15 6 13 4 11 15 10 8 12 14 , 11 14 13 5 6 14 7 0 3 11 14 14 14 7 1 2 3 11 14 -> 11 14 7 0 12 14 7 3 11 13 5 10 11 15 6 14 7 12 14 , 5 9 6 14 13 4 5 10 8 12 14 13 11 14 15 2 3 11 14 -> 5 9 6 13 11 14 14 7 12 14 15 10 4 4 8 3 5 6 14 , 5 10 4 4 5 2 12 14 15 9 6 7 3 11 15 2 3 11 14 -> 5 10 5 2 12 7 0 12 13 5 10 11 15 10 11 14 15 10 11 , 11 14 14 14 14 14 15 2 12 14 15 6 13 11 15 2 3 11 14 -> 11 14 15 10 5 6 7 12 14 15 6 7 12 14 14 14 13 11 14 , 5 9 9 10 4 5 6 7 3 8 0 1 10 11 15 2 3 11 14 -> 5 10 5 2 1 10 5 9 10 4 11 7 1 2 0 12 13 11 14 , 4 5 9 9 6 7 3 4 8 0 0 3 11 7 3 11 13 11 14 -> 4 8 3 11 7 1 10 5 10 11 13 8 12 13 5 2 0 12 14 , 11 13 11 14 15 6 15 2 3 11 7 12 15 2 3 11 13 11 14 -> 11 13 4 11 14 14 15 6 13 8 1 9 10 11 7 12 7 12 14 , 4 5 10 5 9 6 13 11 14 15 2 12 13 4 11 13 4 11 14 -> 4 5 10 4 5 6 13 4 5 6 13 8 12 14 15 6 13 11 14 , 4 8 12 13 11 7 1 6 7 1 2 1 10 8 3 8 0 1 6 -> 4 8 12 14 7 0 1 6 7 3 5 9 10 8 3 8 0 1 6 , 5 10 5 2 12 14 15 2 3 11 15 2 3 11 13 11 7 1 6 -> 5 10 8 1 6 7 0 1 6 13 5 10 11 15 6 14 7 3 11 , 8 0 1 2 3 5 9 2 12 13 8 0 0 3 11 15 2 1 6 -> 8 0 1 6 7 3 8 0 3 8 1 6 15 2 1 10 8 1 6 , 8 0 0 1 2 3 11 15 9 9 2 1 2 12 15 9 2 1 6 -> 8 1 9 9 9 9 9 6 7 3 5 2 0 0 12 7 0 1 6 , 4 4 4 4 8 3 8 3 5 6 13 11 15 9 9 9 2 1 6 -> 4 4 4 5 9 9 9 10 11 7 3 4 11 15 2 3 8 1 6 , 8 12 13 8 3 4 5 6 15 6 15 10 8 0 3 11 14 15 6 -> 5 6 13 8 3 4 8 0 1 6 14 7 3 5 10 11 14 15 6 , 11 14 14 15 9 2 3 11 15 9 6 15 2 12 15 9 6 15 6 -> 11 14 15 6 14 14 15 2 12 15 9 10 5 9 6 15 2 1 6 , 4 4 11 13 5 9 10 4 11 15 2 1 2 1 9 9 6 15 6 -> 5 9 10 11 14 7 1 9 2 1 10 4 5 10 5 10 11 15 6 , 5 2 1 2 0 12 7 1 10 8 3 8 1 9 9 9 6 15 6 -> 5 2 3 8 12 15 9 2 1 2 12 7 0 1 9 10 5 9 6 , 5 6 14 13 8 0 0 3 11 15 9 6 15 10 5 10 11 15 6 -> 5 10 11 7 1 6 13 11 15 9 10 11 14 7 0 1 10 5 6 , 5 10 5 9 6 15 10 11 7 1 10 4 5 2 12 7 1 9 6 -> 5 10 11 7 0 0 1 6 13 5 10 5 9 9 10 11 15 9 6 , 11 7 12 14 15 2 12 15 2 12 15 2 3 11 7 12 15 9 6 -> 11 7 1 2 1 6 15 6 14 7 3 11 7 12 14 7 1 9 6 , 11 15 2 3 4 11 7 1 9 2 12 7 3 11 15 6 15 9 6 -> 11 7 0 3 11 7 0 3 5 6 14 15 9 10 11 15 9 9 6 , 5 10 5 6 13 4 8 3 5 2 3 11 13 8 0 3 5 9 6 -> 5 10 5 9 10 11 13 4 8 3 8 0 3 5 10 5 2 12 14 , 11 13 11 15 10 8 12 13 8 1 6 15 2 12 14 7 3 5 6 -> 11 13 8 1 6 7 0 1 10 5 6 13 4 11 14 14 7 1 6 , 8 1 6 13 5 2 1 2 0 3 8 0 1 6 15 2 3 5 6 -> 8 1 9 10 5 2 12 13 8 0 0 1 9 2 12 7 1 10 11 , 5 6 13 4 11 15 9 2 1 2 0 1 6 14 14 14 13 5 6 -> 5 6 14 7 0 12 15 6 15 6 13 11 15 2 3 5 10 5 6 , 4 4 4 4 11 13 8 3 8 3 5 9 6 7 0 0 0 3 11 -> 4 4 4 4 11 14 7 0 0 3 5 10 8 0 0 3 5 10 11 , 8 12 14 13 11 15 6 13 8 3 8 0 3 5 6 14 7 3 11 -> 8 12 14 14 15 10 8 12 7 3 8 12 13 4 5 6 7 3 11 , 5 10 5 10 8 0 3 11 15 10 11 13 11 14 14 15 2 3 11 -> 5 10 11 7 3 4 5 10 11 14 14 7 1 9 6 7 3 4 11 , 8 12 7 1 6 7 12 15 2 1 6 15 2 0 1 9 2 3 11 -> 8 12 7 1 9 10 5 6 15 6 7 0 1 2 1 2 12 7 12 , 11 15 6 15 9 9 10 8 0 0 3 4 5 6 13 5 2 3 11 -> 11 15 6 15 6 7 1 2 1 2 3 5 10 5 10 4 8 3 11 , 8 0 1 10 8 3 5 9 10 4 11 7 12 15 10 5 2 3 11 -> 8 3 8 0 1 6 7 1 9 10 5 6 13 4 5 10 8 3 11 , 4 8 12 14 13 11 13 4 8 3 8 12 13 4 8 3 8 3 11 -> 4 8 0 3 4 4 11 7 0 12 13 4 4 4 11 13 11 7 12 , 8 0 0 0 3 5 2 1 2 3 11 13 8 0 12 13 8 3 11 -> 8 3 4 5 10 4 8 0 0 0 0 12 14 13 5 2 0 0 12 , 4 5 6 7 12 13 5 2 3 4 4 11 15 9 6 7 12 13 11 -> 4 11 13 4 11 13 8 0 1 9 10 5 9 6 14 7 12 13 11 , 8 0 1 6 14 15 10 4 11 15 2 12 13 4 5 9 6 13 11 -> 8 0 1 6 13 5 10 11 13 11 14 15 9 9 2 3 11 13 11 , 8 0 3 8 0 3 11 15 9 9 9 9 2 1 2 3 11 13 11 -> 8 0 1 9 2 1 9 10 8 0 3 11 13 8 1 10 11 15 6 , 4 8 0 3 5 10 5 10 5 9 10 5 6 15 2 3 11 13 11 -> 4 5 2 3 8 1 9 10 5 10 5 10 4 5 10 11 14 7 12 , 5 2 12 15 10 5 9 9 10 11 7 3 4 5 2 3 11 13 11 -> 5 2 1 2 1 6 13 4 11 7 3 5 10 5 10 11 15 10 11 , 5 2 12 14 15 9 9 9 2 3 8 3 11 13 4 11 15 10 11 -> 5 10 4 5 6 15 6 14 15 2 3 8 0 12 15 9 10 4 11 , 4 8 1 9 2 0 1 2 3 11 13 8 1 2 1 2 3 4 11 -> 4 8 1 10 8 1 2 12 15 10 4 8 1 2 0 3 5 2 12 , 5 2 3 4 11 7 3 4 5 9 9 10 8 12 15 2 3 4 11 -> 5 2 0 1 2 12 15 6 13 8 3 4 4 4 5 9 10 4 11 , 4 4 5 6 15 10 8 0 3 8 3 4 8 0 0 12 13 4 11 -> 4 8 0 3 8 3 5 10 4 4 5 10 11 7 12 7 0 3 11 , 8 0 3 5 6 15 6 13 8 1 2 0 3 4 11 14 13 4 11 -> 8 1 9 10 5 6 7 3 11 7 3 8 3 4 11 14 7 3 11 , 5 9 6 15 6 15 6 13 8 12 7 3 8 0 0 1 10 4 11 -> 5 10 5 10 8 12 7 1 10 11 13 8 12 14 7 1 9 2 12 , 5 10 8 12 15 6 15 9 9 9 6 13 11 15 2 1 10 4 11 -> 5 10 5 2 1 6 15 9 10 11 15 6 14 13 5 9 2 3 11 , 8 3 8 0 3 8 3 11 14 14 13 11 15 6 7 3 4 4 11 -> 8 0 0 3 11 13 8 0 12 14 13 11 15 10 11 13 4 4 11 , 4 5 6 7 12 ->= 4 5 6 7 12 , 7 1 2 3 4 5 6 7 3 8 1 9 2 3 5 2 0 0 0 -> 7 0 0 0 0 1 10 4 8 0 1 9 9 10 5 10 11 7 0 , 13 8 12 13 8 3 8 3 8 1 2 3 11 7 3 8 0 0 0 -> 13 4 8 3 8 1 10 8 0 3 4 8 12 7 0 12 7 0 0 , 15 2 0 3 8 3 11 7 0 12 14 13 8 3 8 1 2 0 0 -> 15 2 0 3 8 1 2 0 3 4 8 3 8 12 14 14 7 0 0 , 15 9 9 9 2 3 4 5 6 14 15 10 11 13 8 1 2 0 0 -> 15 9 6 7 3 5 2 1 2 1 10 11 7 1 6 13 5 10 8 , 7 1 2 12 14 13 4 8 3 5 9 6 15 2 3 5 2 0 0 -> 7 1 10 8 12 15 2 12 13 8 1 10 4 5 9 6 7 0 0 , 15 9 2 3 11 15 2 3 4 5 2 12 13 5 6 13 8 0 0 -> 15 10 11 15 2 0 3 11 7 1 9 6 13 4 8 1 10 8 0 , 7 1 9 6 7 1 6 7 0 3 11 14 15 9 2 0 12 7 0 -> 7 1 9 10 8 12 14 7 1 6 15 9 2 0 0 12 14 7 0 , 13 4 8 1 10 4 11 14 15 9 6 15 2 3 5 2 12 7 0 -> 13 11 14 7 3 5 10 11 7 1 10 4 5 9 2 1 6 7 0 , 13 8 3 8 1 2 3 5 6 7 3 8 1 2 3 11 14 7 0 -> 13 5 10 4 11 7 0 0 1 6 7 12 13 4 5 2 0 0 0 , 13 4 11 14 15 9 2 3 8 12 13 5 2 1 10 5 6 7 0 -> 13 8 12 7 0 1 10 4 5 6 14 13 5 10 5 9 6 7 0 , 14 15 2 0 12 13 4 11 15 2 3 11 15 9 10 5 6 7 0 -> 14 15 9 10 11 15 10 11 7 3 5 2 12 7 12 15 10 8 0 , 15 6 15 10 4 4 11 14 14 13 4 4 4 8 3 11 15 2 0 -> 15 6 7 1 10 4 4 11 13 11 7 12 13 4 4 5 10 11 7 , 15 6 7 12 14 13 4 8 12 7 3 4 11 13 8 1 9 2 0 -> 15 6 13 11 7 12 13 8 0 12 13 5 10 8 1 6 13 8 0 , 7 12 14 14 14 13 4 8 3 11 7 0 3 11 7 0 3 8 0 -> 7 12 14 13 8 12 14 13 11 7 12 13 8 0 3 8 3 8 0 , 7 1 2 1 6 15 6 7 0 0 3 8 12 13 8 0 3 8 0 -> 7 1 10 8 0 12 7 0 3 5 9 2 12 14 7 0 3 8 0 , 7 1 9 9 2 12 15 2 1 9 2 0 0 0 1 2 3 8 0 -> 7 0 0 0 1 2 0 1 9 10 8 0 1 6 15 9 9 2 0 , 13 8 12 15 2 1 10 8 0 3 11 7 3 8 3 8 3 8 0 -> 13 8 3 8 0 3 8 1 10 8 0 12 7 0 3 5 10 11 7 , 14 13 8 1 6 13 5 9 2 3 11 7 3 11 13 8 3 8 0 -> 14 13 5 6 13 5 6 7 3 5 10 8 0 3 8 3 8 12 7 , 15 2 1 2 3 4 11 15 10 5 2 0 1 9 10 8 3 8 0 -> 15 10 5 10 5 10 5 2 0 0 1 9 2 0 12 13 4 8 0 , 15 9 9 10 4 5 6 15 10 4 5 6 15 10 5 6 13 8 0 -> 15 9 9 10 5 9 10 11 13 4 8 1 6 13 5 10 5 6 7 , 14 14 15 9 6 14 15 2 0 12 14 14 7 12 7 1 10 8 0 -> 14 14 15 6 7 12 14 7 0 1 6 15 6 7 12 15 10 8 0 , 7 0 3 8 3 5 10 8 1 2 3 5 9 6 14 14 7 12 7 -> 7 0 12 15 2 1 10 8 1 10 8 12 14 13 8 1 10 11 7 , 15 9 6 7 1 2 1 6 15 10 4 8 1 9 9 6 7 12 7 -> 15 10 5 10 5 2 0 12 14 15 9 2 1 6 15 9 2 12 7 , 13 4 5 9 2 12 13 4 5 6 15 2 3 4 8 3 8 12 7 -> 13 4 5 10 8 0 3 5 9 2 12 13 4 5 6 13 8 12 7 , 13 4 5 9 6 13 4 11 14 13 11 13 8 3 11 7 12 14 7 -> 7 12 15 10 5 10 11 13 11 13 11 13 8 12 13 11 13 11 7 , 7 1 2 0 12 13 4 11 15 9 9 10 11 15 2 12 14 14 7 -> 7 1 6 7 0 3 5 9 10 11 14 15 6 15 10 11 7 12 7 , 7 12 13 4 8 1 9 9 9 9 6 15 6 14 14 14 14 14 7 -> 15 6 14 15 2 12 7 1 6 14 15 6 13 5 9 10 11 14 7 , 13 11 15 2 0 3 4 8 12 13 11 15 6 7 1 6 14 14 7 -> 13 11 13 11 7 0 1 10 8 12 13 8 1 9 6 14 14 14 7 , 14 13 4 4 4 11 7 12 15 9 2 3 8 3 5 6 14 14 7 -> 14 7 3 11 13 11 7 1 10 4 11 13 5 6 7 3 5 6 7 , 13 11 14 14 13 5 2 12 14 13 11 7 12 7 3 11 14 14 7 -> 13 11 14 15 6 13 11 7 12 7 12 14 7 3 11 13 11 14 7 , 14 15 2 1 6 7 0 0 3 4 4 8 1 2 3 11 14 14 7 -> 14 15 10 8 12 7 3 11 7 0 3 8 12 7 1 10 5 6 7 , 14 15 9 9 2 0 0 3 11 15 2 3 5 9 9 9 6 14 7 -> 14 15 9 9 9 2 12 13 5 2 0 1 6 7 3 5 9 6 7 , 14 15 2 3 5 10 8 12 13 8 12 15 6 15 2 3 11 14 7 -> 14 15 2 1 9 6 7 12 14 7 3 4 4 4 5 2 12 14 7 , 13 11 15 10 4 4 5 2 3 11 15 2 1 6 14 13 11 14 7 -> 13 11 7 3 5 9 10 11 14 15 6 13 4 11 15 10 8 12 7 , 14 14 13 5 6 14 7 0 3 11 14 14 14 7 1 2 3 11 7 -> 14 14 7 0 12 14 7 3 11 13 5 10 11 15 6 14 7 12 7 , 15 9 6 14 13 4 5 10 8 12 14 13 11 14 15 2 3 11 7 -> 15 9 6 13 11 14 14 7 12 14 15 10 4 4 8 3 5 6 7 , 15 10 4 4 5 2 12 14 15 9 6 7 3 11 15 2 3 11 7 -> 15 10 5 2 12 7 0 12 13 5 10 11 15 10 11 14 15 10 8 , 14 14 14 14 14 14 15 2 12 14 15 6 13 11 15 2 3 11 7 -> 14 14 15 10 5 6 7 12 14 15 6 7 12 14 14 14 13 11 7 , 15 9 9 10 4 5 6 7 3 8 0 1 10 11 15 2 3 11 7 -> 15 10 5 2 1 10 5 9 10 4 11 7 1 2 0 12 13 11 7 , 13 5 9 9 6 7 3 4 8 0 0 3 11 7 3 11 13 11 7 -> 13 8 3 11 7 1 10 5 10 11 13 8 12 13 5 2 0 12 7 , 14 13 11 14 15 6 15 2 3 11 7 12 15 2 3 11 13 11 7 -> 14 13 4 11 14 14 15 6 13 8 1 9 10 11 7 12 7 12 7 , 13 5 10 5 9 6 13 11 14 15 2 12 13 4 11 13 4 11 7 -> 13 5 10 4 5 6 13 4 5 6 13 8 12 14 15 6 13 11 7 , 13 8 12 13 11 7 1 6 7 1 2 1 10 8 3 8 0 1 2 -> 13 8 12 14 7 0 1 6 7 3 5 9 10 8 3 8 0 1 2 , 15 10 5 2 12 14 15 2 3 11 15 2 3 11 13 11 7 1 2 -> 15 10 8 1 6 7 0 1 6 13 5 10 11 15 6 14 7 3 8 , 7 0 1 2 3 5 9 2 12 13 8 0 0 3 11 15 2 1 2 -> 7 0 1 6 7 3 8 0 3 8 1 6 15 2 1 10 8 1 2 , 7 0 0 1 2 3 11 15 9 9 2 1 2 12 15 9 2 1 2 -> 7 1 9 9 9 9 9 6 7 3 5 2 0 0 12 7 0 1 2 , 13 4 4 4 8 3 8 3 5 6 13 11 15 9 9 9 2 1 2 -> 13 4 4 5 9 9 9 10 11 7 3 4 11 15 2 3 8 1 2 , 7 12 13 8 3 4 5 6 15 6 15 10 8 0 3 11 14 15 2 -> 15 6 13 8 3 4 8 0 1 6 14 7 3 5 10 11 14 15 2 , 14 14 14 15 9 2 3 11 15 9 6 15 2 12 15 9 6 15 2 -> 14 14 15 6 14 14 15 2 12 15 9 10 5 9 6 15 2 1 2 , 13 4 11 13 5 9 10 4 11 15 2 1 2 1 9 9 6 15 2 -> 15 9 10 11 14 7 1 9 2 1 10 4 5 10 5 10 11 15 2 , 15 2 1 2 0 12 7 1 10 8 3 8 1 9 9 9 6 15 2 -> 15 2 3 8 12 15 9 2 1 2 12 7 0 1 9 10 5 9 2 , 15 6 14 13 8 0 0 3 11 15 9 6 15 10 5 10 11 15 2 -> 15 10 11 7 1 6 13 11 15 9 10 11 14 7 0 1 10 5 2 , 15 10 5 9 6 15 10 11 7 1 10 4 5 2 12 7 1 9 2 -> 15 10 11 7 0 0 1 6 13 5 10 5 9 9 10 11 15 9 2 , 14 7 12 14 15 2 12 15 2 12 15 2 3 11 7 12 15 9 2 -> 14 7 1 2 1 6 15 6 14 7 3 11 7 12 14 7 1 9 2 , 14 15 2 3 4 11 7 1 9 2 12 7 3 11 15 6 15 9 2 -> 14 7 0 3 11 7 0 3 5 6 14 15 9 10 11 15 9 9 2 , 15 10 5 6 13 4 8 3 5 2 3 11 13 8 0 3 5 9 2 -> 15 10 5 9 10 11 13 4 8 3 8 0 3 5 10 5 2 12 7 , 14 13 11 15 10 8 12 13 8 1 6 15 2 12 14 7 3 5 2 -> 14 13 8 1 6 7 0 1 10 5 6 13 4 11 14 14 7 1 2 , 7 1 6 13 5 2 1 2 0 3 8 0 1 6 15 2 3 5 2 -> 7 1 9 10 5 2 12 13 8 0 0 1 9 2 12 7 1 10 8 , 15 6 13 4 11 15 9 2 1 2 0 1 6 14 14 14 13 5 2 -> 15 6 14 7 0 12 15 6 15 6 13 11 15 2 3 5 10 5 2 , 13 4 4 4 11 13 8 3 8 3 5 9 6 7 0 0 0 3 8 -> 13 4 4 4 11 14 7 0 0 3 5 10 8 0 0 3 5 10 8 , 7 12 14 13 11 15 6 13 8 3 8 0 3 5 6 14 7 3 8 -> 7 12 14 14 15 10 8 12 7 3 8 12 13 4 5 6 7 3 8 , 15 10 5 10 8 0 3 11 15 10 11 13 11 14 14 15 2 3 8 -> 15 10 11 7 3 4 5 10 11 14 14 7 1 9 6 7 3 4 8 , 7 12 7 1 6 7 12 15 2 1 6 15 2 0 1 9 2 3 8 -> 7 12 7 1 9 10 5 6 15 6 7 0 1 2 1 2 12 7 0 , 14 15 6 15 9 9 10 8 0 0 3 4 5 6 13 5 2 3 8 -> 14 15 6 15 6 7 1 2 1 2 3 5 10 5 10 4 8 3 8 , 7 0 1 10 8 3 5 9 10 4 11 7 12 15 10 5 2 3 8 -> 7 3 8 0 1 6 7 1 9 10 5 6 13 4 5 10 8 3 8 , 13 8 12 14 13 11 13 4 8 3 8 12 13 4 8 3 8 3 8 -> 13 8 0 3 4 4 11 7 0 12 13 4 4 4 11 13 11 7 0 , 7 0 0 0 3 5 2 1 2 3 11 13 8 0 12 13 8 3 8 -> 7 3 4 5 10 4 8 0 0 0 0 12 14 13 5 2 0 0 0 , 13 5 6 7 12 13 5 2 3 4 4 11 15 9 6 7 12 13 8 -> 13 11 13 4 11 13 8 0 1 9 10 5 9 6 14 7 12 13 8 , 7 0 1 6 14 15 10 4 11 15 2 12 13 4 5 9 6 13 8 -> 7 0 1 6 13 5 10 11 13 11 14 15 9 9 2 3 11 13 8 , 7 0 3 8 0 3 11 15 9 9 9 9 2 1 2 3 11 13 8 -> 7 0 1 9 2 1 9 10 8 0 3 11 13 8 1 10 11 15 2 , 13 8 0 3 5 10 5 10 5 9 10 5 6 15 2 3 11 13 8 -> 13 5 2 3 8 1 9 10 5 10 5 10 4 5 10 11 14 7 0 , 15 2 12 15 10 5 9 9 10 11 7 3 4 5 2 3 11 13 8 -> 15 2 1 2 1 6 13 4 11 7 3 5 10 5 10 11 15 10 8 , 15 2 12 14 15 9 9 9 2 3 8 3 11 13 4 11 15 10 8 -> 15 10 4 5 6 15 6 14 15 2 3 8 0 12 15 9 10 4 8 , 13 8 1 9 2 0 1 2 3 11 13 8 1 2 1 2 3 4 8 -> 13 8 1 10 8 1 2 12 15 10 4 8 1 2 0 3 5 2 0 , 15 2 3 4 11 7 3 4 5 9 9 10 8 12 15 2 3 4 8 -> 15 2 0 1 2 12 15 6 13 8 3 4 4 4 5 9 10 4 8 , 13 4 5 6 15 10 8 0 3 8 3 4 8 0 0 12 13 4 8 -> 13 8 0 3 8 3 5 10 4 4 5 10 11 7 12 7 0 3 8 , 7 0 3 5 6 15 6 13 8 1 2 0 3 4 11 14 13 4 8 -> 7 1 9 10 5 6 7 3 11 7 3 8 3 4 11 14 7 3 8 , 15 9 6 15 6 15 6 13 8 12 7 3 8 0 0 1 10 4 8 -> 15 10 5 10 8 12 7 1 10 11 13 8 12 14 7 1 9 2 0 , 15 10 8 12 15 6 15 9 9 9 6 13 11 15 2 1 10 4 8 -> 15 10 5 2 1 6 15 9 10 11 15 6 14 13 5 9 2 3 8 , 7 3 8 0 3 8 3 11 14 14 13 11 15 6 7 3 4 4 8 -> 7 0 0 3 11 13 8 0 12 14 13 11 15 10 11 13 4 4 8 , 13 5 6 7 0 ->= 13 5 6 7 0 , 7 1 2 3 4 5 6 7 3 8 1 9 2 3 5 2 0 0 1 -> 7 0 0 0 0 1 10 4 8 0 1 9 9 10 5 10 11 7 1 , 13 8 12 13 8 3 8 3 8 1 2 3 11 7 3 8 0 0 1 -> 13 4 8 3 8 1 10 8 0 3 4 8 12 7 0 12 7 0 1 , 15 2 0 3 8 3 11 7 0 12 14 13 8 3 8 1 2 0 1 -> 15 2 0 3 8 1 2 0 3 4 8 3 8 12 14 14 7 0 1 , 15 9 9 9 2 3 4 5 6 14 15 10 11 13 8 1 2 0 1 -> 15 9 6 7 3 5 2 1 2 1 10 11 7 1 6 13 5 10 5 , 7 1 2 12 14 13 4 8 3 5 9 6 15 2 3 5 2 0 1 -> 7 1 10 8 12 15 2 12 13 8 1 10 4 5 9 6 7 0 1 , 15 9 2 3 11 15 2 3 4 5 2 12 13 5 6 13 8 0 1 -> 15 10 11 15 2 0 3 11 7 1 9 6 13 4 8 1 10 8 1 , 7 1 9 6 7 1 6 7 0 3 11 14 15 9 2 0 12 7 1 -> 7 1 9 10 8 12 14 7 1 6 15 9 2 0 0 12 14 7 1 , 13 4 8 1 10 4 11 14 15 9 6 15 2 3 5 2 12 7 1 -> 13 11 14 7 3 5 10 11 7 1 10 4 5 9 2 1 6 7 1 , 13 8 3 8 1 2 3 5 6 7 3 8 1 2 3 11 14 7 1 -> 13 5 10 4 11 7 0 0 1 6 7 12 13 4 5 2 0 0 1 , 13 4 11 14 15 9 2 3 8 12 13 5 2 1 10 5 6 7 1 -> 13 8 12 7 0 1 10 4 5 6 14 13 5 10 5 9 6 7 1 , 14 15 2 0 12 13 4 11 15 2 3 11 15 9 10 5 6 7 1 -> 14 15 9 10 11 15 10 11 7 3 5 2 12 7 12 15 10 8 1 , 15 6 15 10 4 4 11 14 14 13 4 4 4 8 3 11 15 2 1 -> 15 6 7 1 10 4 4 11 13 11 7 12 13 4 4 5 10 11 15 , 15 6 7 12 14 13 4 8 12 7 3 4 11 13 8 1 9 2 1 -> 15 6 13 11 7 12 13 8 0 12 13 5 10 8 1 6 13 8 1 , 7 12 14 14 14 13 4 8 3 11 7 0 3 11 7 0 3 8 1 -> 7 12 14 13 8 12 14 13 11 7 12 13 8 0 3 8 3 8 1 , 7 1 2 1 6 15 6 7 0 0 3 8 12 13 8 0 3 8 1 -> 7 1 10 8 0 12 7 0 3 5 9 2 12 14 7 0 3 8 1 , 7 1 9 9 2 12 15 2 1 9 2 0 0 0 1 2 3 8 1 -> 7 0 0 0 1 2 0 1 9 10 8 0 1 6 15 9 9 2 1 , 13 8 12 15 2 1 10 8 0 3 11 7 3 8 3 8 3 8 1 -> 13 8 3 8 0 3 8 1 10 8 0 12 7 0 3 5 10 11 15 , 14 13 8 1 6 13 5 9 2 3 11 7 3 11 13 8 3 8 1 -> 14 13 5 6 13 5 6 7 3 5 10 8 0 3 8 3 8 12 15 , 15 2 1 2 3 4 11 15 10 5 2 0 1 9 10 8 3 8 1 -> 15 10 5 10 5 10 5 2 0 0 1 9 2 0 12 13 4 8 1 , 15 9 9 10 4 5 6 15 10 4 5 6 15 10 5 6 13 8 1 -> 15 9 9 10 5 9 10 11 13 4 8 1 6 13 5 10 5 6 15 , 14 14 15 9 6 14 15 2 0 12 14 14 7 12 7 1 10 8 1 -> 14 14 15 6 7 12 14 7 0 1 6 15 6 7 12 15 10 8 1 , 7 0 3 8 3 5 10 8 1 2 3 5 9 6 14 14 7 12 15 -> 7 0 12 15 2 1 10 8 1 10 8 12 14 13 8 1 10 11 15 , 15 9 6 7 1 2 1 6 15 10 4 8 1 9 9 6 7 12 15 -> 15 10 5 10 5 2 0 12 14 15 9 2 1 6 15 9 2 12 15 , 13 4 5 9 2 12 13 4 5 6 15 2 3 4 8 3 8 12 15 -> 13 4 5 10 8 0 3 5 9 2 12 13 4 5 6 13 8 12 15 , 13 4 5 9 6 13 4 11 14 13 11 13 8 3 11 7 12 14 15 -> 7 12 15 10 5 10 11 13 11 13 11 13 8 12 13 11 13 11 15 , 7 1 2 0 12 13 4 11 15 9 9 10 11 15 2 12 14 14 15 -> 7 1 6 7 0 3 5 9 10 11 14 15 6 15 10 11 7 12 15 , 7 12 13 4 8 1 9 9 9 9 6 15 6 14 14 14 14 14 15 -> 15 6 14 15 2 12 7 1 6 14 15 6 13 5 9 10 11 14 15 , 13 11 15 2 0 3 4 8 12 13 11 15 6 7 1 6 14 14 15 -> 13 11 13 11 7 0 1 10 8 12 13 8 1 9 6 14 14 14 15 , 14 13 4 4 4 11 7 12 15 9 2 3 8 3 5 6 14 14 15 -> 14 7 3 11 13 11 7 1 10 4 11 13 5 6 7 3 5 6 15 , 13 11 14 14 13 5 2 12 14 13 11 7 12 7 3 11 14 14 15 -> 13 11 14 15 6 13 11 7 12 7 12 14 7 3 11 13 11 14 15 , 14 15 2 1 6 7 0 0 3 4 4 8 1 2 3 11 14 14 15 -> 14 15 10 8 12 7 3 11 7 0 3 8 12 7 1 10 5 6 15 , 14 15 9 9 2 0 0 3 11 15 2 3 5 9 9 9 6 14 15 -> 14 15 9 9 9 2 12 13 5 2 0 1 6 7 3 5 9 6 15 , 14 15 2 3 5 10 8 12 13 8 12 15 6 15 2 3 11 14 15 -> 14 15 2 1 9 6 7 12 14 7 3 4 4 4 5 2 12 14 15 , 13 11 15 10 4 4 5 2 3 11 15 2 1 6 14 13 11 14 15 -> 13 11 7 3 5 9 10 11 14 15 6 13 4 11 15 10 8 12 15 , 14 14 13 5 6 14 7 0 3 11 14 14 14 7 1 2 3 11 15 -> 14 14 7 0 12 14 7 3 11 13 5 10 11 15 6 14 7 12 15 , 15 9 6 14 13 4 5 10 8 12 14 13 11 14 15 2 3 11 15 -> 15 9 6 13 11 14 14 7 12 14 15 10 4 4 8 3 5 6 15 , 15 10 4 4 5 2 12 14 15 9 6 7 3 11 15 2 3 11 15 -> 15 10 5 2 12 7 0 12 13 5 10 11 15 10 11 14 15 10 5 , 14 14 14 14 14 14 15 2 12 14 15 6 13 11 15 2 3 11 15 -> 14 14 15 10 5 6 7 12 14 15 6 7 12 14 14 14 13 11 15 , 15 9 9 10 4 5 6 7 3 8 0 1 10 11 15 2 3 11 15 -> 15 10 5 2 1 10 5 9 10 4 11 7 1 2 0 12 13 11 15 , 13 5 9 9 6 7 3 4 8 0 0 3 11 7 3 11 13 11 15 -> 13 8 3 11 7 1 10 5 10 11 13 8 12 13 5 2 0 12 15 , 14 13 11 14 15 6 15 2 3 11 7 12 15 2 3 11 13 11 15 -> 14 13 4 11 14 14 15 6 13 8 1 9 10 11 7 12 7 12 15 , 13 5 10 5 9 6 13 11 14 15 2 12 13 4 11 13 4 11 15 -> 13 5 10 4 5 6 13 4 5 6 13 8 12 14 15 6 13 11 15 , 13 8 12 13 11 7 1 6 7 1 2 1 10 8 3 8 0 1 9 -> 13 8 12 14 7 0 1 6 7 3 5 9 10 8 3 8 0 1 9 , 15 10 5 2 12 14 15 2 3 11 15 2 3 11 13 11 7 1 9 -> 15 10 8 1 6 7 0 1 6 13 5 10 11 15 6 14 7 3 5 , 7 0 1 2 3 5 9 2 12 13 8 0 0 3 11 15 2 1 9 -> 7 0 1 6 7 3 8 0 3 8 1 6 15 2 1 10 8 1 9 , 7 0 0 1 2 3 11 15 9 9 2 1 2 12 15 9 2 1 9 -> 7 1 9 9 9 9 9 6 7 3 5 2 0 0 12 7 0 1 9 , 13 4 4 4 8 3 8 3 5 6 13 11 15 9 9 9 2 1 9 -> 13 4 4 5 9 9 9 10 11 7 3 4 11 15 2 3 8 1 9 , 7 12 13 8 3 4 5 6 15 6 15 10 8 0 3 11 14 15 9 -> 15 6 13 8 3 4 8 0 1 6 14 7 3 5 10 11 14 15 9 , 14 14 14 15 9 2 3 11 15 9 6 15 2 12 15 9 6 15 9 -> 14 14 15 6 14 14 15 2 12 15 9 10 5 9 6 15 2 1 9 , 13 4 11 13 5 9 10 4 11 15 2 1 2 1 9 9 6 15 9 -> 15 9 10 11 14 7 1 9 2 1 10 4 5 10 5 10 11 15 9 , 15 2 1 2 0 12 7 1 10 8 3 8 1 9 9 9 6 15 9 -> 15 2 3 8 12 15 9 2 1 2 12 7 0 1 9 10 5 9 9 , 15 6 14 13 8 0 0 3 11 15 9 6 15 10 5 10 11 15 9 -> 15 10 11 7 1 6 13 11 15 9 10 11 14 7 0 1 10 5 9 , 15 10 5 9 6 15 10 11 7 1 10 4 5 2 12 7 1 9 9 -> 15 10 11 7 0 0 1 6 13 5 10 5 9 9 10 11 15 9 9 , 14 7 12 14 15 2 12 15 2 12 15 2 3 11 7 12 15 9 9 -> 14 7 1 2 1 6 15 6 14 7 3 11 7 12 14 7 1 9 9 , 14 15 2 3 4 11 7 1 9 2 12 7 3 11 15 6 15 9 9 -> 14 7 0 3 11 7 0 3 5 6 14 15 9 10 11 15 9 9 9 , 15 10 5 6 13 4 8 3 5 2 3 11 13 8 0 3 5 9 9 -> 15 10 5 9 10 11 13 4 8 3 8 0 3 5 10 5 2 12 15 , 14 13 11 15 10 8 12 13 8 1 6 15 2 12 14 7 3 5 9 -> 14 13 8 1 6 7 0 1 10 5 6 13 4 11 14 14 7 1 9 , 7 1 6 13 5 2 1 2 0 3 8 0 1 6 15 2 3 5 9 -> 7 1 9 10 5 2 12 13 8 0 0 1 9 2 12 7 1 10 5 , 15 6 13 4 11 15 9 2 1 2 0 1 6 14 14 14 13 5 9 -> 15 6 14 7 0 12 15 6 15 6 13 11 15 2 3 5 10 5 9 , 13 4 4 4 11 13 8 3 8 3 5 9 6 7 0 0 0 3 5 -> 13 4 4 4 11 14 7 0 0 3 5 10 8 0 0 3 5 10 5 , 7 12 14 13 11 15 6 13 8 3 8 0 3 5 6 14 7 3 5 -> 7 12 14 14 15 10 8 12 7 3 8 12 13 4 5 6 7 3 5 , 15 10 5 10 8 0 3 11 15 10 11 13 11 14 14 15 2 3 5 -> 15 10 11 7 3 4 5 10 11 14 14 7 1 9 6 7 3 4 5 , 7 12 7 1 6 7 12 15 2 1 6 15 2 0 1 9 2 3 5 -> 7 12 7 1 9 10 5 6 15 6 7 0 1 2 1 2 12 7 1 , 14 15 6 15 9 9 10 8 0 0 3 4 5 6 13 5 2 3 5 -> 14 15 6 15 6 7 1 2 1 2 3 5 10 5 10 4 8 3 5 , 7 0 1 10 8 3 5 9 10 4 11 7 12 15 10 5 2 3 5 -> 7 3 8 0 1 6 7 1 9 10 5 6 13 4 5 10 8 3 5 , 13 8 12 14 13 11 13 4 8 3 8 12 13 4 8 3 8 3 5 -> 13 8 0 3 4 4 11 7 0 12 13 4 4 4 11 13 11 7 1 , 7 0 0 0 3 5 2 1 2 3 11 13 8 0 12 13 8 3 5 -> 7 3 4 5 10 4 8 0 0 0 0 12 14 13 5 2 0 0 1 , 13 5 6 7 12 13 5 2 3 4 4 11 15 9 6 7 12 13 5 -> 13 11 13 4 11 13 8 0 1 9 10 5 9 6 14 7 12 13 5 , 7 0 1 6 14 15 10 4 11 15 2 12 13 4 5 9 6 13 5 -> 7 0 1 6 13 5 10 11 13 11 14 15 9 9 2 3 11 13 5 , 7 0 3 8 0 3 11 15 9 9 9 9 2 1 2 3 11 13 5 -> 7 0 1 9 2 1 9 10 8 0 3 11 13 8 1 10 11 15 9 , 13 8 0 3 5 10 5 10 5 9 10 5 6 15 2 3 11 13 5 -> 13 5 2 3 8 1 9 10 5 10 5 10 4 5 10 11 14 7 1 , 15 2 12 15 10 5 9 9 10 11 7 3 4 5 2 3 11 13 5 -> 15 2 1 2 1 6 13 4 11 7 3 5 10 5 10 11 15 10 5 , 15 2 12 14 15 9 9 9 2 3 8 3 11 13 4 11 15 10 5 -> 15 10 4 5 6 15 6 14 15 2 3 8 0 12 15 9 10 4 5 , 13 8 1 9 2 0 1 2 3 11 13 8 1 2 1 2 3 4 5 -> 13 8 1 10 8 1 2 12 15 10 4 8 1 2 0 3 5 2 1 , 15 2 3 4 11 7 3 4 5 9 9 10 8 12 15 2 3 4 5 -> 15 2 0 1 2 12 15 6 13 8 3 4 4 4 5 9 10 4 5 , 13 4 5 6 15 10 8 0 3 8 3 4 8 0 0 12 13 4 5 -> 13 8 0 3 8 3 5 10 4 4 5 10 11 7 12 7 0 3 5 , 7 0 3 5 6 15 6 13 8 1 2 0 3 4 11 14 13 4 5 -> 7 1 9 10 5 6 7 3 11 7 3 8 3 4 11 14 7 3 5 , 15 9 6 15 6 15 6 13 8 12 7 3 8 0 0 1 10 4 5 -> 15 10 5 10 8 12 7 1 10 11 13 8 12 14 7 1 9 2 1 , 15 10 8 12 15 6 15 9 9 9 6 13 11 15 2 1 10 4 5 -> 15 10 5 2 1 6 15 9 10 11 15 6 14 13 5 9 2 3 5 , 7 3 8 0 3 8 3 11 14 14 13 11 15 6 7 3 4 4 5 -> 7 0 0 3 11 13 8 0 12 14 13 11 15 10 11 13 4 4 5 , 13 5 6 7 1 ->= 13 5 6 7 1 , 7 1 2 3 4 5 6 7 3 8 1 9 2 3 5 2 0 0 3 -> 7 0 0 0 0 1 10 4 8 0 1 9 9 10 5 10 11 7 3 , 13 8 12 13 8 3 8 3 8 1 2 3 11 7 3 8 0 0 3 -> 13 4 8 3 8 1 10 8 0 3 4 8 12 7 0 12 7 0 3 , 15 2 0 3 8 3 11 7 0 12 14 13 8 3 8 1 2 0 3 -> 15 2 0 3 8 1 2 0 3 4 8 3 8 12 14 14 7 0 3 , 15 9 9 9 2 3 4 5 6 14 15 10 11 13 8 1 2 0 3 -> 15 9 6 7 3 5 2 1 2 1 10 11 7 1 6 13 5 10 4 , 7 1 2 12 14 13 4 8 3 5 9 6 15 2 3 5 2 0 3 -> 7 1 10 8 12 15 2 12 13 8 1 10 4 5 9 6 7 0 3 , 15 9 2 3 11 15 2 3 4 5 2 12 13 5 6 13 8 0 3 -> 15 10 11 15 2 0 3 11 7 1 9 6 13 4 8 1 10 8 3 , 7 1 9 6 7 1 6 7 0 3 11 14 15 9 2 0 12 7 3 -> 7 1 9 10 8 12 14 7 1 6 15 9 2 0 0 12 14 7 3 , 13 4 8 1 10 4 11 14 15 9 6 15 2 3 5 2 12 7 3 -> 13 11 14 7 3 5 10 11 7 1 10 4 5 9 2 1 6 7 3 , 13 8 3 8 1 2 3 5 6 7 3 8 1 2 3 11 14 7 3 -> 13 5 10 4 11 7 0 0 1 6 7 12 13 4 5 2 0 0 3 , 13 4 11 14 15 9 2 3 8 12 13 5 2 1 10 5 6 7 3 -> 13 8 12 7 0 1 10 4 5 6 14 13 5 10 5 9 6 7 3 , 14 15 2 0 12 13 4 11 15 2 3 11 15 9 10 5 6 7 3 -> 14 15 9 10 11 15 10 11 7 3 5 2 12 7 12 15 10 8 3 , 15 6 15 10 4 4 11 14 14 13 4 4 4 8 3 11 15 2 3 -> 15 6 7 1 10 4 4 11 13 11 7 12 13 4 4 5 10 11 13 , 15 6 7 12 14 13 4 8 12 7 3 4 11 13 8 1 9 2 3 -> 15 6 13 11 7 12 13 8 0 12 13 5 10 8 1 6 13 8 3 , 7 12 14 14 14 13 4 8 3 11 7 0 3 11 7 0 3 8 3 -> 7 12 14 13 8 12 14 13 11 7 12 13 8 0 3 8 3 8 3 , 7 1 2 1 6 15 6 7 0 0 3 8 12 13 8 0 3 8 3 -> 7 1 10 8 0 12 7 0 3 5 9 2 12 14 7 0 3 8 3 , 7 1 9 9 2 12 15 2 1 9 2 0 0 0 1 2 3 8 3 -> 7 0 0 0 1 2 0 1 9 10 8 0 1 6 15 9 9 2 3 , 13 8 12 15 2 1 10 8 0 3 11 7 3 8 3 8 3 8 3 -> 13 8 3 8 0 3 8 1 10 8 0 12 7 0 3 5 10 11 13 , 14 13 8 1 6 13 5 9 2 3 11 7 3 11 13 8 3 8 3 -> 14 13 5 6 13 5 6 7 3 5 10 8 0 3 8 3 8 12 13 , 15 2 1 2 3 4 11 15 10 5 2 0 1 9 10 8 3 8 3 -> 15 10 5 10 5 10 5 2 0 0 1 9 2 0 12 13 4 8 3 , 15 9 9 10 4 5 6 15 10 4 5 6 15 10 5 6 13 8 3 -> 15 9 9 10 5 9 10 11 13 4 8 1 6 13 5 10 5 6 13 , 14 14 15 9 6 14 15 2 0 12 14 14 7 12 7 1 10 8 3 -> 14 14 15 6 7 12 14 7 0 1 6 15 6 7 12 15 10 8 3 , 7 0 3 8 3 5 10 8 1 2 3 5 9 6 14 14 7 12 13 -> 7 0 12 15 2 1 10 8 1 10 8 12 14 13 8 1 10 11 13 , 15 9 6 7 1 2 1 6 15 10 4 8 1 9 9 6 7 12 13 -> 15 10 5 10 5 2 0 12 14 15 9 2 1 6 15 9 2 12 13 , 13 4 5 9 2 12 13 4 5 6 15 2 3 4 8 3 8 12 13 -> 13 4 5 10 8 0 3 5 9 2 12 13 4 5 6 13 8 12 13 , 13 4 5 9 6 13 4 11 14 13 11 13 8 3 11 7 12 14 13 -> 7 12 15 10 5 10 11 13 11 13 11 13 8 12 13 11 13 11 13 , 7 1 2 0 12 13 4 11 15 9 9 10 11 15 2 12 14 14 13 -> 7 1 6 7 0 3 5 9 10 11 14 15 6 15 10 11 7 12 13 , 7 12 13 4 8 1 9 9 9 9 6 15 6 14 14 14 14 14 13 -> 15 6 14 15 2 12 7 1 6 14 15 6 13 5 9 10 11 14 13 , 13 11 15 2 0 3 4 8 12 13 11 15 6 7 1 6 14 14 13 -> 13 11 13 11 7 0 1 10 8 12 13 8 1 9 6 14 14 14 13 , 14 13 4 4 4 11 7 12 15 9 2 3 8 3 5 6 14 14 13 -> 14 7 3 11 13 11 7 1 10 4 11 13 5 6 7 3 5 6 13 , 13 11 14 14 13 5 2 12 14 13 11 7 12 7 3 11 14 14 13 -> 13 11 14 15 6 13 11 7 12 7 12 14 7 3 11 13 11 14 13 , 14 15 2 1 6 7 0 0 3 4 4 8 1 2 3 11 14 14 13 -> 14 15 10 8 12 7 3 11 7 0 3 8 12 7 1 10 5 6 13 , 14 15 9 9 2 0 0 3 11 15 2 3 5 9 9 9 6 14 13 -> 14 15 9 9 9 2 12 13 5 2 0 1 6 7 3 5 9 6 13 , 14 15 2 3 5 10 8 12 13 8 12 15 6 15 2 3 11 14 13 -> 14 15 2 1 9 6 7 12 14 7 3 4 4 4 5 2 12 14 13 , 13 11 15 10 4 4 5 2 3 11 15 2 1 6 14 13 11 14 13 -> 13 11 7 3 5 9 10 11 14 15 6 13 4 11 15 10 8 12 13 , 14 14 13 5 6 14 7 0 3 11 14 14 14 7 1 2 3 11 13 -> 14 14 7 0 12 14 7 3 11 13 5 10 11 15 6 14 7 12 13 , 15 9 6 14 13 4 5 10 8 12 14 13 11 14 15 2 3 11 13 -> 15 9 6 13 11 14 14 7 12 14 15 10 4 4 8 3 5 6 13 , 15 10 4 4 5 2 12 14 15 9 6 7 3 11 15 2 3 11 13 -> 15 10 5 2 12 7 0 12 13 5 10 11 15 10 11 14 15 10 4 , 14 14 14 14 14 14 15 2 12 14 15 6 13 11 15 2 3 11 13 -> 14 14 15 10 5 6 7 12 14 15 6 7 12 14 14 14 13 11 13 , 15 9 9 10 4 5 6 7 3 8 0 1 10 11 15 2 3 11 13 -> 15 10 5 2 1 10 5 9 10 4 11 7 1 2 0 12 13 11 13 , 13 5 9 9 6 7 3 4 8 0 0 3 11 7 3 11 13 11 13 -> 13 8 3 11 7 1 10 5 10 11 13 8 12 13 5 2 0 12 13 , 14 13 11 14 15 6 15 2 3 11 7 12 15 2 3 11 13 11 13 -> 14 13 4 11 14 14 15 6 13 8 1 9 10 11 7 12 7 12 13 , 13 5 10 5 9 6 13 11 14 15 2 12 13 4 11 13 4 11 13 -> 13 5 10 4 5 6 13 4 5 6 13 8 12 14 15 6 13 11 13 , 13 8 12 13 11 7 1 6 7 1 2 1 10 8 3 8 0 1 10 -> 13 8 12 14 7 0 1 6 7 3 5 9 10 8 3 8 0 1 10 , 15 10 5 2 12 14 15 2 3 11 15 2 3 11 13 11 7 1 10 -> 15 10 8 1 6 7 0 1 6 13 5 10 11 15 6 14 7 3 4 , 7 0 1 2 3 5 9 2 12 13 8 0 0 3 11 15 2 1 10 -> 7 0 1 6 7 3 8 0 3 8 1 6 15 2 1 10 8 1 10 , 7 0 0 1 2 3 11 15 9 9 2 1 2 12 15 9 2 1 10 -> 7 1 9 9 9 9 9 6 7 3 5 2 0 0 12 7 0 1 10 , 13 4 4 4 8 3 8 3 5 6 13 11 15 9 9 9 2 1 10 -> 13 4 4 5 9 9 9 10 11 7 3 4 11 15 2 3 8 1 10 , 7 12 13 8 3 4 5 6 15 6 15 10 8 0 3 11 14 15 10 -> 15 6 13 8 3 4 8 0 1 6 14 7 3 5 10 11 14 15 10 , 14 14 14 15 9 2 3 11 15 9 6 15 2 12 15 9 6 15 10 -> 14 14 15 6 14 14 15 2 12 15 9 10 5 9 6 15 2 1 10 , 13 4 11 13 5 9 10 4 11 15 2 1 2 1 9 9 6 15 10 -> 15 9 10 11 14 7 1 9 2 1 10 4 5 10 5 10 11 15 10 , 15 2 1 2 0 12 7 1 10 8 3 8 1 9 9 9 6 15 10 -> 15 2 3 8 12 15 9 2 1 2 12 7 0 1 9 10 5 9 10 , 15 6 14 13 8 0 0 3 11 15 9 6 15 10 5 10 11 15 10 -> 15 10 11 7 1 6 13 11 15 9 10 11 14 7 0 1 10 5 10 , 15 10 5 9 6 15 10 11 7 1 10 4 5 2 12 7 1 9 10 -> 15 10 11 7 0 0 1 6 13 5 10 5 9 9 10 11 15 9 10 , 14 7 12 14 15 2 12 15 2 12 15 2 3 11 7 12 15 9 10 -> 14 7 1 2 1 6 15 6 14 7 3 11 7 12 14 7 1 9 10 , 14 15 2 3 4 11 7 1 9 2 12 7 3 11 15 6 15 9 10 -> 14 7 0 3 11 7 0 3 5 6 14 15 9 10 11 15 9 9 10 , 15 10 5 6 13 4 8 3 5 2 3 11 13 8 0 3 5 9 10 -> 15 10 5 9 10 11 13 4 8 3 8 0 3 5 10 5 2 12 13 , 14 13 11 15 10 8 12 13 8 1 6 15 2 12 14 7 3 5 10 -> 14 13 8 1 6 7 0 1 10 5 6 13 4 11 14 14 7 1 10 , 7 1 6 13 5 2 1 2 0 3 8 0 1 6 15 2 3 5 10 -> 7 1 9 10 5 2 12 13 8 0 0 1 9 2 12 7 1 10 4 , 15 6 13 4 11 15 9 2 1 2 0 1 6 14 14 14 13 5 10 -> 15 6 14 7 0 12 15 6 15 6 13 11 15 2 3 5 10 5 10 , 13 4 4 4 11 13 8 3 8 3 5 9 6 7 0 0 0 3 4 -> 13 4 4 4 11 14 7 0 0 3 5 10 8 0 0 3 5 10 4 , 7 12 14 13 11 15 6 13 8 3 8 0 3 5 6 14 7 3 4 -> 7 12 14 14 15 10 8 12 7 3 8 12 13 4 5 6 7 3 4 , 15 10 5 10 8 0 3 11 15 10 11 13 11 14 14 15 2 3 4 -> 15 10 11 7 3 4 5 10 11 14 14 7 1 9 6 7 3 4 4 , 7 12 7 1 6 7 12 15 2 1 6 15 2 0 1 9 2 3 4 -> 7 12 7 1 9 10 5 6 15 6 7 0 1 2 1 2 12 7 3 , 14 15 6 15 9 9 10 8 0 0 3 4 5 6 13 5 2 3 4 -> 14 15 6 15 6 7 1 2 1 2 3 5 10 5 10 4 8 3 4 , 7 0 1 10 8 3 5 9 10 4 11 7 12 15 10 5 2 3 4 -> 7 3 8 0 1 6 7 1 9 10 5 6 13 4 5 10 8 3 4 , 13 8 12 14 13 11 13 4 8 3 8 12 13 4 8 3 8 3 4 -> 13 8 0 3 4 4 11 7 0 12 13 4 4 4 11 13 11 7 3 , 7 0 0 0 3 5 2 1 2 3 11 13 8 0 12 13 8 3 4 -> 7 3 4 5 10 4 8 0 0 0 0 12 14 13 5 2 0 0 3 , 13 5 6 7 12 13 5 2 3 4 4 11 15 9 6 7 12 13 4 -> 13 11 13 4 11 13 8 0 1 9 10 5 9 6 14 7 12 13 4 , 7 0 1 6 14 15 10 4 11 15 2 12 13 4 5 9 6 13 4 -> 7 0 1 6 13 5 10 11 13 11 14 15 9 9 2 3 11 13 4 , 7 0 3 8 0 3 11 15 9 9 9 9 2 1 2 3 11 13 4 -> 7 0 1 9 2 1 9 10 8 0 3 11 13 8 1 10 11 15 10 , 13 8 0 3 5 10 5 10 5 9 10 5 6 15 2 3 11 13 4 -> 13 5 2 3 8 1 9 10 5 10 5 10 4 5 10 11 14 7 3 , 15 2 12 15 10 5 9 9 10 11 7 3 4 5 2 3 11 13 4 -> 15 2 1 2 1 6 13 4 11 7 3 5 10 5 10 11 15 10 4 , 15 2 12 14 15 9 9 9 2 3 8 3 11 13 4 11 15 10 4 -> 15 10 4 5 6 15 6 14 15 2 3 8 0 12 15 9 10 4 4 , 13 8 1 9 2 0 1 2 3 11 13 8 1 2 1 2 3 4 4 -> 13 8 1 10 8 1 2 12 15 10 4 8 1 2 0 3 5 2 3 , 15 2 3 4 11 7 3 4 5 9 9 10 8 12 15 2 3 4 4 -> 15 2 0 1 2 12 15 6 13 8 3 4 4 4 5 9 10 4 4 , 13 4 5 6 15 10 8 0 3 8 3 4 8 0 0 12 13 4 4 -> 13 8 0 3 8 3 5 10 4 4 5 10 11 7 12 7 0 3 4 , 7 0 3 5 6 15 6 13 8 1 2 0 3 4 11 14 13 4 4 -> 7 1 9 10 5 6 7 3 11 7 3 8 3 4 11 14 7 3 4 , 15 9 6 15 6 15 6 13 8 12 7 3 8 0 0 1 10 4 4 -> 15 10 5 10 8 12 7 1 10 11 13 8 12 14 7 1 9 2 3 , 15 10 8 12 15 6 15 9 9 9 6 13 11 15 2 1 10 4 4 -> 15 10 5 2 1 6 15 9 10 11 15 6 14 13 5 9 2 3 4 , 7 3 8 0 3 8 3 11 14 14 13 11 15 6 7 3 4 4 4 -> 7 0 0 3 11 13 8 0 12 14 13 11 15 10 11 13 4 4 4 , 13 5 6 7 3 ->= 13 5 6 7 3 , 7 1 2 3 4 5 6 7 3 8 1 9 2 3 5 2 0 0 12 -> 7 0 0 0 0 1 10 4 8 0 1 9 9 10 5 10 11 7 12 , 13 8 12 13 8 3 8 3 8 1 2 3 11 7 3 8 0 0 12 -> 13 4 8 3 8 1 10 8 0 3 4 8 12 7 0 12 7 0 12 , 15 2 0 3 8 3 11 7 0 12 14 13 8 3 8 1 2 0 12 -> 15 2 0 3 8 1 2 0 3 4 8 3 8 12 14 14 7 0 12 , 15 9 9 9 2 3 4 5 6 14 15 10 11 13 8 1 2 0 12 -> 15 9 6 7 3 5 2 1 2 1 10 11 7 1 6 13 5 10 11 , 7 1 2 12 14 13 4 8 3 5 9 6 15 2 3 5 2 0 12 -> 7 1 10 8 12 15 2 12 13 8 1 10 4 5 9 6 7 0 12 , 15 9 2 3 11 15 2 3 4 5 2 12 13 5 6 13 8 0 12 -> 15 10 11 15 2 0 3 11 7 1 9 6 13 4 8 1 10 8 12 , 7 1 9 6 7 1 6 7 0 3 11 14 15 9 2 0 12 7 12 -> 7 1 9 10 8 12 14 7 1 6 15 9 2 0 0 12 14 7 12 , 13 4 8 1 10 4 11 14 15 9 6 15 2 3 5 2 12 7 12 -> 13 11 14 7 3 5 10 11 7 1 10 4 5 9 2 1 6 7 12 , 13 8 3 8 1 2 3 5 6 7 3 8 1 2 3 11 14 7 12 -> 13 5 10 4 11 7 0 0 1 6 7 12 13 4 5 2 0 0 12 , 13 4 11 14 15 9 2 3 8 12 13 5 2 1 10 5 6 7 12 -> 13 8 12 7 0 1 10 4 5 6 14 13 5 10 5 9 6 7 12 , 14 15 2 0 12 13 4 11 15 2 3 11 15 9 10 5 6 7 12 -> 14 15 9 10 11 15 10 11 7 3 5 2 12 7 12 15 10 8 12 , 15 6 15 10 4 4 11 14 14 13 4 4 4 8 3 11 15 2 12 -> 15 6 7 1 10 4 4 11 13 11 7 12 13 4 4 5 10 11 14 , 15 6 7 12 14 13 4 8 12 7 3 4 11 13 8 1 9 2 12 -> 15 6 13 11 7 12 13 8 0 12 13 5 10 8 1 6 13 8 12 , 7 12 14 14 14 13 4 8 3 11 7 0 3 11 7 0 3 8 12 -> 7 12 14 13 8 12 14 13 11 7 12 13 8 0 3 8 3 8 12 , 7 1 2 1 6 15 6 7 0 0 3 8 12 13 8 0 3 8 12 -> 7 1 10 8 0 12 7 0 3 5 9 2 12 14 7 0 3 8 12 , 7 1 9 9 2 12 15 2 1 9 2 0 0 0 1 2 3 8 12 -> 7 0 0 0 1 2 0 1 9 10 8 0 1 6 15 9 9 2 12 , 13 8 12 15 2 1 10 8 0 3 11 7 3 8 3 8 3 8 12 -> 13 8 3 8 0 3 8 1 10 8 0 12 7 0 3 5 10 11 14 , 14 13 8 1 6 13 5 9 2 3 11 7 3 11 13 8 3 8 12 -> 14 13 5 6 13 5 6 7 3 5 10 8 0 3 8 3 8 12 14 , 15 2 1 2 3 4 11 15 10 5 2 0 1 9 10 8 3 8 12 -> 15 10 5 10 5 10 5 2 0 0 1 9 2 0 12 13 4 8 12 , 15 9 9 10 4 5 6 15 10 4 5 6 15 10 5 6 13 8 12 -> 15 9 9 10 5 9 10 11 13 4 8 1 6 13 5 10 5 6 14 , 14 14 15 9 6 14 15 2 0 12 14 14 7 12 7 1 10 8 12 -> 14 14 15 6 7 12 14 7 0 1 6 15 6 7 12 15 10 8 12 , 7 0 3 8 3 5 10 8 1 2 3 5 9 6 14 14 7 12 14 -> 7 0 12 15 2 1 10 8 1 10 8 12 14 13 8 1 10 11 14 , 15 9 6 7 1 2 1 6 15 10 4 8 1 9 9 6 7 12 14 -> 15 10 5 10 5 2 0 12 14 15 9 2 1 6 15 9 2 12 14 , 13 4 5 9 2 12 13 4 5 6 15 2 3 4 8 3 8 12 14 -> 13 4 5 10 8 0 3 5 9 2 12 13 4 5 6 13 8 12 14 , 13 4 5 9 6 13 4 11 14 13 11 13 8 3 11 7 12 14 14 -> 7 12 15 10 5 10 11 13 11 13 11 13 8 12 13 11 13 11 14 , 7 1 2 0 12 13 4 11 15 9 9 10 11 15 2 12 14 14 14 -> 7 1 6 7 0 3 5 9 10 11 14 15 6 15 10 11 7 12 14 , 7 12 13 4 8 1 9 9 9 9 6 15 6 14 14 14 14 14 14 -> 15 6 14 15 2 12 7 1 6 14 15 6 13 5 9 10 11 14 14 , 13 11 15 2 0 3 4 8 12 13 11 15 6 7 1 6 14 14 14 -> 13 11 13 11 7 0 1 10 8 12 13 8 1 9 6 14 14 14 14 , 14 13 4 4 4 11 7 12 15 9 2 3 8 3 5 6 14 14 14 -> 14 7 3 11 13 11 7 1 10 4 11 13 5 6 7 3 5 6 14 , 13 11 14 14 13 5 2 12 14 13 11 7 12 7 3 11 14 14 14 -> 13 11 14 15 6 13 11 7 12 7 12 14 7 3 11 13 11 14 14 , 14 15 2 1 6 7 0 0 3 4 4 8 1 2 3 11 14 14 14 -> 14 15 10 8 12 7 3 11 7 0 3 8 12 7 1 10 5 6 14 , 14 15 9 9 2 0 0 3 11 15 2 3 5 9 9 9 6 14 14 -> 14 15 9 9 9 2 12 13 5 2 0 1 6 7 3 5 9 6 14 , 14 15 2 3 5 10 8 12 13 8 12 15 6 15 2 3 11 14 14 -> 14 15 2 1 9 6 7 12 14 7 3 4 4 4 5 2 12 14 14 , 13 11 15 10 4 4 5 2 3 11 15 2 1 6 14 13 11 14 14 -> 13 11 7 3 5 9 10 11 14 15 6 13 4 11 15 10 8 12 14 , 14 14 13 5 6 14 7 0 3 11 14 14 14 7 1 2 3 11 14 -> 14 14 7 0 12 14 7 3 11 13 5 10 11 15 6 14 7 12 14 , 15 9 6 14 13 4 5 10 8 12 14 13 11 14 15 2 3 11 14 -> 15 9 6 13 11 14 14 7 12 14 15 10 4 4 8 3 5 6 14 , 15 10 4 4 5 2 12 14 15 9 6 7 3 11 15 2 3 11 14 -> 15 10 5 2 12 7 0 12 13 5 10 11 15 10 11 14 15 10 11 , 14 14 14 14 14 14 15 2 12 14 15 6 13 11 15 2 3 11 14 -> 14 14 15 10 5 6 7 12 14 15 6 7 12 14 14 14 13 11 14 , 15 9 9 10 4 5 6 7 3 8 0 1 10 11 15 2 3 11 14 -> 15 10 5 2 1 10 5 9 10 4 11 7 1 2 0 12 13 11 14 , 13 5 9 9 6 7 3 4 8 0 0 3 11 7 3 11 13 11 14 -> 13 8 3 11 7 1 10 5 10 11 13 8 12 13 5 2 0 12 14 , 14 13 11 14 15 6 15 2 3 11 7 12 15 2 3 11 13 11 14 -> 14 13 4 11 14 14 15 6 13 8 1 9 10 11 7 12 7 12 14 , 13 5 10 5 9 6 13 11 14 15 2 12 13 4 11 13 4 11 14 -> 13 5 10 4 5 6 13 4 5 6 13 8 12 14 15 6 13 11 14 , 13 8 12 13 11 7 1 6 7 1 2 1 10 8 3 8 0 1 6 -> 13 8 12 14 7 0 1 6 7 3 5 9 10 8 3 8 0 1 6 , 15 10 5 2 12 14 15 2 3 11 15 2 3 11 13 11 7 1 6 -> 15 10 8 1 6 7 0 1 6 13 5 10 11 15 6 14 7 3 11 , 7 0 1 2 3 5 9 2 12 13 8 0 0 3 11 15 2 1 6 -> 7 0 1 6 7 3 8 0 3 8 1 6 15 2 1 10 8 1 6 , 7 0 0 1 2 3 11 15 9 9 2 1 2 12 15 9 2 1 6 -> 7 1 9 9 9 9 9 6 7 3 5 2 0 0 12 7 0 1 6 , 13 4 4 4 8 3 8 3 5 6 13 11 15 9 9 9 2 1 6 -> 13 4 4 5 9 9 9 10 11 7 3 4 11 15 2 3 8 1 6 , 7 12 13 8 3 4 5 6 15 6 15 10 8 0 3 11 14 15 6 -> 15 6 13 8 3 4 8 0 1 6 14 7 3 5 10 11 14 15 6 , 14 14 14 15 9 2 3 11 15 9 6 15 2 12 15 9 6 15 6 -> 14 14 15 6 14 14 15 2 12 15 9 10 5 9 6 15 2 1 6 , 13 4 11 13 5 9 10 4 11 15 2 1 2 1 9 9 6 15 6 -> 15 9 10 11 14 7 1 9 2 1 10 4 5 10 5 10 11 15 6 , 15 2 1 2 0 12 7 1 10 8 3 8 1 9 9 9 6 15 6 -> 15 2 3 8 12 15 9 2 1 2 12 7 0 1 9 10 5 9 6 , 15 6 14 13 8 0 0 3 11 15 9 6 15 10 5 10 11 15 6 -> 15 10 11 7 1 6 13 11 15 9 10 11 14 7 0 1 10 5 6 , 15 10 5 9 6 15 10 11 7 1 10 4 5 2 12 7 1 9 6 -> 15 10 11 7 0 0 1 6 13 5 10 5 9 9 10 11 15 9 6 , 14 7 12 14 15 2 12 15 2 12 15 2 3 11 7 12 15 9 6 -> 14 7 1 2 1 6 15 6 14 7 3 11 7 12 14 7 1 9 6 , 14 15 2 3 4 11 7 1 9 2 12 7 3 11 15 6 15 9 6 -> 14 7 0 3 11 7 0 3 5 6 14 15 9 10 11 15 9 9 6 , 15 10 5 6 13 4 8 3 5 2 3 11 13 8 0 3 5 9 6 -> 15 10 5 9 10 11 13 4 8 3 8 0 3 5 10 5 2 12 14 , 14 13 11 15 10 8 12 13 8 1 6 15 2 12 14 7 3 5 6 -> 14 13 8 1 6 7 0 1 10 5 6 13 4 11 14 14 7 1 6 , 7 1 6 13 5 2 1 2 0 3 8 0 1 6 15 2 3 5 6 -> 7 1 9 10 5 2 12 13 8 0 0 1 9 2 12 7 1 10 11 , 15 6 13 4 11 15 9 2 1 2 0 1 6 14 14 14 13 5 6 -> 15 6 14 7 0 12 15 6 15 6 13 11 15 2 3 5 10 5 6 , 13 4 4 4 11 13 8 3 8 3 5 9 6 7 0 0 0 3 11 -> 13 4 4 4 11 14 7 0 0 3 5 10 8 0 0 3 5 10 11 , 7 12 14 13 11 15 6 13 8 3 8 0 3 5 6 14 7 3 11 -> 7 12 14 14 15 10 8 12 7 3 8 12 13 4 5 6 7 3 11 , 15 10 5 10 8 0 3 11 15 10 11 13 11 14 14 15 2 3 11 -> 15 10 11 7 3 4 5 10 11 14 14 7 1 9 6 7 3 4 11 , 7 12 7 1 6 7 12 15 2 1 6 15 2 0 1 9 2 3 11 -> 7 12 7 1 9 10 5 6 15 6 7 0 1 2 1 2 12 7 12 , 14 15 6 15 9 9 10 8 0 0 3 4 5 6 13 5 2 3 11 -> 14 15 6 15 6 7 1 2 1 2 3 5 10 5 10 4 8 3 11 , 7 0 1 10 8 3 5 9 10 4 11 7 12 15 10 5 2 3 11 -> 7 3 8 0 1 6 7 1 9 10 5 6 13 4 5 10 8 3 11 , 13 8 12 14 13 11 13 4 8 3 8 12 13 4 8 3 8 3 11 -> 13 8 0 3 4 4 11 7 0 12 13 4 4 4 11 13 11 7 12 , 7 0 0 0 3 5 2 1 2 3 11 13 8 0 12 13 8 3 11 -> 7 3 4 5 10 4 8 0 0 0 0 12 14 13 5 2 0 0 12 , 13 5 6 7 12 13 5 2 3 4 4 11 15 9 6 7 12 13 11 -> 13 11 13 4 11 13 8 0 1 9 10 5 9 6 14 7 12 13 11 , 7 0 1 6 14 15 10 4 11 15 2 12 13 4 5 9 6 13 11 -> 7 0 1 6 13 5 10 11 13 11 14 15 9 9 2 3 11 13 11 , 7 0 3 8 0 3 11 15 9 9 9 9 2 1 2 3 11 13 11 -> 7 0 1 9 2 1 9 10 8 0 3 11 13 8 1 10 11 15 6 , 13 8 0 3 5 10 5 10 5 9 10 5 6 15 2 3 11 13 11 -> 13 5 2 3 8 1 9 10 5 10 5 10 4 5 10 11 14 7 12 , 15 2 12 15 10 5 9 9 10 11 7 3 4 5 2 3 11 13 11 -> 15 2 1 2 1 6 13 4 11 7 3 5 10 5 10 11 15 10 11 , 15 2 12 14 15 9 9 9 2 3 8 3 11 13 4 11 15 10 11 -> 15 10 4 5 6 15 6 14 15 2 3 8 0 12 15 9 10 4 11 , 13 8 1 9 2 0 1 2 3 11 13 8 1 2 1 2 3 4 11 -> 13 8 1 10 8 1 2 12 15 10 4 8 1 2 0 3 5 2 12 , 15 2 3 4 11 7 3 4 5 9 9 10 8 12 15 2 3 4 11 -> 15 2 0 1 2 12 15 6 13 8 3 4 4 4 5 9 10 4 11 , 13 4 5 6 15 10 8 0 3 8 3 4 8 0 0 12 13 4 11 -> 13 8 0 3 8 3 5 10 4 4 5 10 11 7 12 7 0 3 11 , 7 0 3 5 6 15 6 13 8 1 2 0 3 4 11 14 13 4 11 -> 7 1 9 10 5 6 7 3 11 7 3 8 3 4 11 14 7 3 11 , 15 9 6 15 6 15 6 13 8 12 7 3 8 0 0 1 10 4 11 -> 15 10 5 10 8 12 7 1 10 11 13 8 12 14 7 1 9 2 12 , 15 10 8 12 15 6 15 9 9 9 6 13 11 15 2 1 10 4 11 -> 15 10 5 2 1 6 15 9 10 11 15 6 14 13 5 9 2 3 11 , 7 3 8 0 3 8 3 11 14 14 13 11 15 6 7 3 4 4 11 -> 7 0 0 3 11 13 8 0 12 14 13 11 15 10 11 13 4 4 11 , 13 5 6 7 12 ->= 13 5 6 7 12 } 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 2 | | 0 1 | \ / 1 is interpreted by / \ | 1 6 | | 0 1 | \ / 2 is interpreted by / \ | 1 11 | | 0 1 | \ / 3 is interpreted by / \ | 1 8 | | 0 1 | \ / 4 is interpreted by / \ | 1 5 | | 0 1 | \ / 5 is interpreted by / \ | 1 0 | | 0 1 | \ / 6 is interpreted by / \ | 1 3 | | 0 1 | \ / 7 is interpreted by / \ | 1 1 | | 0 1 | \ / 8 is interpreted by / \ | 1 2 | | 0 1 | \ / 9 is interpreted by / \ | 1 8 | | 0 1 | \ / 10 is interpreted by / \ | 1 0 | | 0 1 | \ / 11 is interpreted by / \ | 1 0 | | 0 1 | \ / 12 is interpreted by / \ | 1 0 | | 0 1 | \ / 13 is interpreted by / \ | 1 6 | | 0 1 | \ / 14 is interpreted by / \ | 1 1 | | 0 1 | \ / 15 is interpreted by / \ | 1 9 | | 0 1 | \ / After renaming modulo { 1->0, 2->1, 0->2, 3->3, 8->4, 11->5, 7->6, 12->7, 14->8, 13->9, 4->10, 5->11, 15->12, 6->13, 10->14, 9->15 }, it remains to prove termination of the 100-rule system { 0 1 2 3 4 3 5 6 2 7 8 9 4 3 4 0 1 2 2 -> 0 1 2 3 4 0 1 2 3 10 4 3 4 7 8 8 6 2 2 , 3 5 8 8 9 11 1 7 8 9 5 6 7 6 3 5 8 8 6 -> 3 5 8 12 13 9 5 6 7 6 7 8 6 3 5 9 5 8 6 , 0 1 0 1 2 7 6 0 14 4 3 4 0 15 15 15 13 12 1 -> 0 1 3 4 7 12 15 1 0 1 7 6 2 0 15 14 11 15 1 , 2 2 0 14 4 3 11 15 14 10 5 6 7 12 14 11 1 3 4 -> 2 3 4 2 0 13 6 0 15 14 11 13 9 10 11 14 4 3 4 , 2 2 0 13 8 12 14 10 5 12 1 7 9 10 11 15 13 9 4 -> 2 2 0 13 9 11 14 5 9 5 8 12 15 15 1 3 5 9 4 , 3 11 13 6 2 ->= 3 11 13 6 2 , 0 1 2 3 4 3 5 6 2 7 8 9 4 3 4 0 1 2 0 -> 0 1 2 3 4 0 1 2 3 10 4 3 4 7 8 8 6 2 0 , 3 5 8 8 9 11 1 7 8 9 5 6 7 6 3 5 8 8 12 -> 3 5 8 12 13 9 5 6 7 6 7 8 6 3 5 9 5 8 12 , 0 1 0 1 2 7 6 0 14 4 3 4 0 15 15 15 13 12 15 -> 0 1 3 4 7 12 15 1 0 1 7 6 2 0 15 14 11 15 15 , 2 2 0 14 4 3 11 15 14 10 5 6 7 12 14 11 1 3 11 -> 2 3 4 2 0 13 6 0 15 14 11 13 9 10 11 14 4 3 11 , 2 2 0 13 8 12 14 10 5 12 1 7 9 10 11 15 13 9 11 -> 2 2 0 13 9 11 14 5 9 5 8 12 15 15 1 3 5 9 11 , 3 11 13 6 0 ->= 3 11 13 6 0 , 0 1 2 3 4 3 5 6 2 7 8 9 4 3 4 0 1 2 3 -> 0 1 2 3 4 0 1 2 3 10 4 3 4 7 8 8 6 2 3 , 3 5 8 8 9 11 1 7 8 9 5 6 7 6 3 5 8 8 9 -> 3 5 8 12 13 9 5 6 7 6 7 8 6 3 5 9 5 8 9 , 0 1 0 1 2 7 6 0 14 4 3 4 0 15 15 15 13 12 14 -> 0 1 3 4 7 12 15 1 0 1 7 6 2 0 15 14 11 15 14 , 2 2 0 14 4 3 11 15 14 10 5 6 7 12 14 11 1 3 10 -> 2 3 4 2 0 13 6 0 15 14 11 13 9 10 11 14 4 3 10 , 2 2 0 13 8 12 14 10 5 12 1 7 9 10 11 15 13 9 10 -> 2 2 0 13 9 11 14 5 9 5 8 12 15 15 1 3 5 9 10 , 3 11 13 6 3 ->= 3 11 13 6 3 , 0 1 2 3 4 3 5 6 2 7 8 9 4 3 4 0 1 2 7 -> 0 1 2 3 4 0 1 2 3 10 4 3 4 7 8 8 6 2 7 , 3 5 8 8 9 11 1 7 8 9 5 6 7 6 3 5 8 8 8 -> 3 5 8 12 13 9 5 6 7 6 7 8 6 3 5 9 5 8 8 , 0 1 0 1 2 7 6 0 14 4 3 4 0 15 15 15 13 12 13 -> 0 1 3 4 7 12 15 1 0 1 7 6 2 0 15 14 11 15 13 , 2 2 0 14 4 3 11 15 14 10 5 6 7 12 14 11 1 3 5 -> 2 3 4 2 0 13 6 0 15 14 11 13 9 10 11 14 4 3 5 , 2 2 0 13 8 12 14 10 5 12 1 7 9 10 11 15 13 9 5 -> 2 2 0 13 9 11 14 5 9 5 8 12 15 15 1 3 5 9 5 , 3 11 13 6 7 ->= 3 11 13 6 7 , 15 1 2 3 4 3 5 6 2 7 8 9 4 3 4 0 1 2 2 -> 15 1 2 3 4 0 1 2 3 10 4 3 4 7 8 8 6 2 2 , 14 10 11 15 13 9 10 5 8 9 5 9 4 3 5 6 7 8 6 -> 1 7 12 14 11 14 5 9 5 9 5 9 4 7 9 5 9 5 6 , 14 5 8 8 9 11 1 7 8 9 5 6 7 6 3 5 8 8 6 -> 14 5 8 12 13 9 5 6 7 6 7 8 6 3 5 9 5 8 6 , 15 1 0 1 2 7 6 0 14 4 3 4 0 15 15 15 13 12 1 -> 15 1 3 4 7 12 15 1 0 1 7 6 2 0 15 14 11 15 1 , 1 2 0 14 4 3 11 15 14 10 5 6 7 12 14 11 1 3 4 -> 1 3 4 2 0 13 6 0 15 14 11 13 9 10 11 14 4 3 4 , 1 2 0 13 8 12 14 10 5 12 1 7 9 10 11 15 13 9 4 -> 1 2 0 13 9 11 14 5 9 5 8 12 15 15 1 3 5 9 4 , 14 11 13 6 2 ->= 14 11 13 6 2 , 15 1 2 3 4 3 5 6 2 7 8 9 4 3 4 0 1 2 0 -> 15 1 2 3 4 0 1 2 3 10 4 3 4 7 8 8 6 2 0 , 14 10 11 15 13 9 10 5 8 9 5 9 4 3 5 6 7 8 12 -> 1 7 12 14 11 14 5 9 5 9 5 9 4 7 9 5 9 5 12 , 14 5 8 8 9 11 1 7 8 9 5 6 7 6 3 5 8 8 12 -> 14 5 8 12 13 9 5 6 7 6 7 8 6 3 5 9 5 8 12 , 15 1 0 1 2 7 6 0 14 4 3 4 0 15 15 15 13 12 15 -> 15 1 3 4 7 12 15 1 0 1 7 6 2 0 15 14 11 15 15 , 1 2 0 14 4 3 11 15 14 10 5 6 7 12 14 11 1 3 11 -> 1 3 4 2 0 13 6 0 15 14 11 13 9 10 11 14 4 3 11 , 1 2 0 13 8 12 14 10 5 12 1 7 9 10 11 15 13 9 11 -> 1 2 0 13 9 11 14 5 9 5 8 12 15 15 1 3 5 9 11 , 14 11 13 6 0 ->= 14 11 13 6 0 , 15 1 2 3 4 3 5 6 2 7 8 9 4 3 4 0 1 2 3 -> 15 1 2 3 4 0 1 2 3 10 4 3 4 7 8 8 6 2 3 , 14 10 11 15 13 9 10 5 8 9 5 9 4 3 5 6 7 8 9 -> 1 7 12 14 11 14 5 9 5 9 5 9 4 7 9 5 9 5 9 , 14 5 8 8 9 11 1 7 8 9 5 6 7 6 3 5 8 8 9 -> 14 5 8 12 13 9 5 6 7 6 7 8 6 3 5 9 5 8 9 , 15 1 0 1 2 7 6 0 14 4 3 4 0 15 15 15 13 12 14 -> 15 1 3 4 7 12 15 1 0 1 7 6 2 0 15 14 11 15 14 , 1 2 0 14 4 3 11 15 14 10 5 6 7 12 14 11 1 3 10 -> 1 3 4 2 0 13 6 0 15 14 11 13 9 10 11 14 4 3 10 , 1 2 0 13 8 12 14 10 5 12 1 7 9 10 11 15 13 9 10 -> 1 2 0 13 9 11 14 5 9 5 8 12 15 15 1 3 5 9 10 , 14 11 13 6 3 ->= 14 11 13 6 3 , 15 1 2 3 4 3 5 6 2 7 8 9 4 3 4 0 1 2 7 -> 15 1 2 3 4 0 1 2 3 10 4 3 4 7 8 8 6 2 7 , 14 10 11 15 13 9 10 5 8 9 5 9 4 3 5 6 7 8 8 -> 1 7 12 14 11 14 5 9 5 9 5 9 4 7 9 5 9 5 8 , 14 5 8 8 9 11 1 7 8 9 5 6 7 6 3 5 8 8 8 -> 14 5 8 12 13 9 5 6 7 6 7 8 6 3 5 9 5 8 8 , 15 1 0 1 2 7 6 0 14 4 3 4 0 15 15 15 13 12 13 -> 15 1 3 4 7 12 15 1 0 1 7 6 2 0 15 14 11 15 13 , 1 2 0 14 4 3 11 15 14 10 5 6 7 12 14 11 1 3 5 -> 1 3 4 2 0 13 6 0 15 14 11 13 9 10 11 14 4 3 5 , 1 2 0 13 8 12 14 10 5 12 1 7 9 10 11 15 13 9 5 -> 1 2 0 13 9 11 14 5 9 5 8 12 15 15 1 3 5 9 5 , 14 11 13 6 7 ->= 14 11 13 6 7 , 11 1 2 3 4 3 5 6 2 7 8 9 4 3 4 0 1 2 2 -> 11 1 2 3 4 0 1 2 3 10 4 3 4 7 8 8 6 2 2 , 10 5 8 8 9 11 1 7 8 9 5 6 7 6 3 5 8 8 6 -> 10 5 8 12 13 9 5 6 7 6 7 8 6 3 5 9 5 8 6 , 11 1 0 1 2 7 6 0 14 4 3 4 0 15 15 15 13 12 1 -> 11 1 3 4 7 12 15 1 0 1 7 6 2 0 15 14 11 15 1 , 4 2 0 14 4 3 11 15 14 10 5 6 7 12 14 11 1 3 4 -> 4 3 4 2 0 13 6 0 15 14 11 13 9 10 11 14 4 3 4 , 4 2 0 13 8 12 14 10 5 12 1 7 9 10 11 15 13 9 4 -> 4 2 0 13 9 11 14 5 9 5 8 12 15 15 1 3 5 9 4 , 10 11 13 6 2 ->= 10 11 13 6 2 , 11 1 2 3 4 3 5 6 2 7 8 9 4 3 4 0 1 2 0 -> 11 1 2 3 4 0 1 2 3 10 4 3 4 7 8 8 6 2 0 , 10 5 8 8 9 11 1 7 8 9 5 6 7 6 3 5 8 8 12 -> 10 5 8 12 13 9 5 6 7 6 7 8 6 3 5 9 5 8 12 , 11 1 0 1 2 7 6 0 14 4 3 4 0 15 15 15 13 12 15 -> 11 1 3 4 7 12 15 1 0 1 7 6 2 0 15 14 11 15 15 , 4 2 0 14 4 3 11 15 14 10 5 6 7 12 14 11 1 3 11 -> 4 3 4 2 0 13 6 0 15 14 11 13 9 10 11 14 4 3 11 , 4 2 0 13 8 12 14 10 5 12 1 7 9 10 11 15 13 9 11 -> 4 2 0 13 9 11 14 5 9 5 8 12 15 15 1 3 5 9 11 , 10 11 13 6 0 ->= 10 11 13 6 0 , 11 1 2 3 4 3 5 6 2 7 8 9 4 3 4 0 1 2 3 -> 11 1 2 3 4 0 1 2 3 10 4 3 4 7 8 8 6 2 3 , 10 5 8 8 9 11 1 7 8 9 5 6 7 6 3 5 8 8 9 -> 10 5 8 12 13 9 5 6 7 6 7 8 6 3 5 9 5 8 9 , 11 1 0 1 2 7 6 0 14 4 3 4 0 15 15 15 13 12 14 -> 11 1 3 4 7 12 15 1 0 1 7 6 2 0 15 14 11 15 14 , 4 2 0 14 4 3 11 15 14 10 5 6 7 12 14 11 1 3 10 -> 4 3 4 2 0 13 6 0 15 14 11 13 9 10 11 14 4 3 10 , 4 2 0 13 8 12 14 10 5 12 1 7 9 10 11 15 13 9 10 -> 4 2 0 13 9 11 14 5 9 5 8 12 15 15 1 3 5 9 10 , 10 11 13 6 3 ->= 10 11 13 6 3 , 11 1 2 3 4 3 5 6 2 7 8 9 4 3 4 0 1 2 7 -> 11 1 2 3 4 0 1 2 3 10 4 3 4 7 8 8 6 2 7 , 10 5 8 8 9 11 1 7 8 9 5 6 7 6 3 5 8 8 8 -> 10 5 8 12 13 9 5 6 7 6 7 8 6 3 5 9 5 8 8 , 11 1 0 1 2 7 6 0 14 4 3 4 0 15 15 15 13 12 13 -> 11 1 3 4 7 12 15 1 0 1 7 6 2 0 15 14 11 15 13 , 4 2 0 14 4 3 11 15 14 10 5 6 7 12 14 11 1 3 5 -> 4 3 4 2 0 13 6 0 15 14 11 13 9 10 11 14 4 3 5 , 4 2 0 13 8 12 14 10 5 12 1 7 9 10 11 15 13 9 5 -> 4 2 0 13 9 11 14 5 9 5 8 12 15 15 1 3 5 9 5 , 10 11 13 6 7 ->= 10 11 13 6 7 , 12 1 2 3 4 3 5 6 2 7 8 9 4 3 4 0 1 2 2 -> 12 1 2 3 4 0 1 2 3 10 4 3 4 7 8 8 6 2 2 , 9 5 8 8 9 11 1 7 8 9 5 6 7 6 3 5 8 8 6 -> 9 5 8 12 13 9 5 6 7 6 7 8 6 3 5 9 5 8 6 , 12 1 0 1 2 7 6 0 14 4 3 4 0 15 15 15 13 12 1 -> 12 1 3 4 7 12 15 1 0 1 7 6 2 0 15 14 11 15 1 , 6 2 0 14 4 3 11 15 14 10 5 6 7 12 14 11 1 3 4 -> 6 3 4 2 0 13 6 0 15 14 11 13 9 10 11 14 4 3 4 , 6 2 0 13 8 12 14 10 5 12 1 7 9 10 11 15 13 9 4 -> 6 2 0 13 9 11 14 5 9 5 8 12 15 15 1 3 5 9 4 , 9 11 13 6 2 ->= 9 11 13 6 2 , 12 1 2 3 4 3 5 6 2 7 8 9 4 3 4 0 1 2 0 -> 12 1 2 3 4 0 1 2 3 10 4 3 4 7 8 8 6 2 0 , 9 5 8 8 9 11 1 7 8 9 5 6 7 6 3 5 8 8 12 -> 9 5 8 12 13 9 5 6 7 6 7 8 6 3 5 9 5 8 12 , 12 1 0 1 2 7 6 0 14 4 3 4 0 15 15 15 13 12 15 -> 12 1 3 4 7 12 15 1 0 1 7 6 2 0 15 14 11 15 15 , 6 2 0 14 4 3 11 15 14 10 5 6 7 12 14 11 1 3 11 -> 6 3 4 2 0 13 6 0 15 14 11 13 9 10 11 14 4 3 11 , 6 2 0 13 8 12 14 10 5 12 1 7 9 10 11 15 13 9 11 -> 6 2 0 13 9 11 14 5 9 5 8 12 15 15 1 3 5 9 11 , 9 11 13 6 0 ->= 9 11 13 6 0 , 12 1 2 3 4 3 5 6 2 7 8 9 4 3 4 0 1 2 3 -> 12 1 2 3 4 0 1 2 3 10 4 3 4 7 8 8 6 2 3 , 9 5 8 8 9 11 1 7 8 9 5 6 7 6 3 5 8 8 9 -> 9 5 8 12 13 9 5 6 7 6 7 8 6 3 5 9 5 8 9 , 12 1 0 1 2 7 6 0 14 4 3 4 0 15 15 15 13 12 14 -> 12 1 3 4 7 12 15 1 0 1 7 6 2 0 15 14 11 15 14 , 6 2 0 14 4 3 11 15 14 10 5 6 7 12 14 11 1 3 10 -> 6 3 4 2 0 13 6 0 15 14 11 13 9 10 11 14 4 3 10 , 6 2 0 13 8 12 14 10 5 12 1 7 9 10 11 15 13 9 10 -> 6 2 0 13 9 11 14 5 9 5 8 12 15 15 1 3 5 9 10 , 9 11 13 6 3 ->= 9 11 13 6 3 , 12 1 2 3 4 3 5 6 2 7 8 9 4 3 4 0 1 2 7 -> 12 1 2 3 4 0 1 2 3 10 4 3 4 7 8 8 6 2 7 , 9 5 8 8 9 11 1 7 8 9 5 6 7 6 3 5 8 8 8 -> 9 5 8 12 13 9 5 6 7 6 7 8 6 3 5 9 5 8 8 , 12 1 0 1 2 7 6 0 14 4 3 4 0 15 15 15 13 12 13 -> 12 1 3 4 7 12 15 1 0 1 7 6 2 0 15 14 11 15 13 , 6 2 0 14 4 3 11 15 14 10 5 6 7 12 14 11 1 3 5 -> 6 3 4 2 0 13 6 0 15 14 11 13 9 10 11 14 4 3 5 , 6 2 0 13 8 12 14 10 5 12 1 7 9 10 11 15 13 9 5 -> 6 2 0 13 9 11 14 5 9 5 8 12 15 15 1 3 5 9 5 , 9 11 13 6 7 ->= 9 11 13 6 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 | \ / After renaming modulo { 3->0, 5->1, 8->2, 9->3, 11->4, 1->5, 7->6, 6->7, 12->8, 13->9, 0->10, 2->11, 14->12, 4->13, 15->14, 10->15 }, it remains to prove termination of the 99-rule system { 0 1 2 2 3 4 5 6 2 3 1 7 6 7 0 1 2 2 7 -> 0 1 2 8 9 3 1 7 6 7 6 2 7 0 1 3 1 2 7 , 10 5 10 5 11 6 7 10 12 13 0 13 10 14 14 14 9 8 5 -> 10 5 0 13 6 8 14 5 10 5 6 7 11 10 14 12 4 14 5 , 11 11 10 12 13 0 4 14 12 15 1 7 6 8 12 4 5 0 13 -> 11 0 13 11 10 9 7 10 14 12 4 9 3 15 4 12 13 0 13 , 11 11 10 9 2 8 12 15 1 8 5 6 3 15 4 14 9 3 13 -> 11 11 10 9 3 4 12 1 3 1 2 8 14 14 5 0 1 3 13 , 0 4 9 7 11 ->= 0 4 9 7 11 , 10 5 11 0 13 0 1 7 11 6 2 3 13 0 13 10 5 11 10 -> 10 5 11 0 13 10 5 11 0 15 13 0 13 6 2 2 7 11 10 , 0 1 2 2 3 4 5 6 2 3 1 7 6 7 0 1 2 2 8 -> 0 1 2 8 9 3 1 7 6 7 6 2 7 0 1 3 1 2 8 , 10 5 10 5 11 6 7 10 12 13 0 13 10 14 14 14 9 8 14 -> 10 5 0 13 6 8 14 5 10 5 6 7 11 10 14 12 4 14 14 , 11 11 10 12 13 0 4 14 12 15 1 7 6 8 12 4 5 0 4 -> 11 0 13 11 10 9 7 10 14 12 4 9 3 15 4 12 13 0 4 , 11 11 10 9 2 8 12 15 1 8 5 6 3 15 4 14 9 3 4 -> 11 11 10 9 3 4 12 1 3 1 2 8 14 14 5 0 1 3 4 , 0 4 9 7 10 ->= 0 4 9 7 10 , 10 5 11 0 13 0 1 7 11 6 2 3 13 0 13 10 5 11 0 -> 10 5 11 0 13 10 5 11 0 15 13 0 13 6 2 2 7 11 0 , 0 1 2 2 3 4 5 6 2 3 1 7 6 7 0 1 2 2 3 -> 0 1 2 8 9 3 1 7 6 7 6 2 7 0 1 3 1 2 3 , 10 5 10 5 11 6 7 10 12 13 0 13 10 14 14 14 9 8 12 -> 10 5 0 13 6 8 14 5 10 5 6 7 11 10 14 12 4 14 12 , 11 11 10 12 13 0 4 14 12 15 1 7 6 8 12 4 5 0 15 -> 11 0 13 11 10 9 7 10 14 12 4 9 3 15 4 12 13 0 15 , 11 11 10 9 2 8 12 15 1 8 5 6 3 15 4 14 9 3 15 -> 11 11 10 9 3 4 12 1 3 1 2 8 14 14 5 0 1 3 15 , 0 4 9 7 0 ->= 0 4 9 7 0 , 10 5 11 0 13 0 1 7 11 6 2 3 13 0 13 10 5 11 6 -> 10 5 11 0 13 10 5 11 0 15 13 0 13 6 2 2 7 11 6 , 0 1 2 2 3 4 5 6 2 3 1 7 6 7 0 1 2 2 2 -> 0 1 2 8 9 3 1 7 6 7 6 2 7 0 1 3 1 2 2 , 10 5 10 5 11 6 7 10 12 13 0 13 10 14 14 14 9 8 9 -> 10 5 0 13 6 8 14 5 10 5 6 7 11 10 14 12 4 14 9 , 11 11 10 12 13 0 4 14 12 15 1 7 6 8 12 4 5 0 1 -> 11 0 13 11 10 9 7 10 14 12 4 9 3 15 4 12 13 0 1 , 11 11 10 9 2 8 12 15 1 8 5 6 3 15 4 14 9 3 1 -> 11 11 10 9 3 4 12 1 3 1 2 8 14 14 5 0 1 3 1 , 0 4 9 7 6 ->= 0 4 9 7 6 , 14 5 11 0 13 0 1 7 11 6 2 3 13 0 13 10 5 11 11 -> 14 5 11 0 13 10 5 11 0 15 13 0 13 6 2 2 7 11 11 , 12 15 4 14 9 3 15 1 2 3 1 3 13 0 1 7 6 2 7 -> 5 6 8 12 4 12 1 3 1 3 1 3 13 6 3 1 3 1 7 , 12 1 2 2 3 4 5 6 2 3 1 7 6 7 0 1 2 2 7 -> 12 1 2 8 9 3 1 7 6 7 6 2 7 0 1 3 1 2 7 , 14 5 10 5 11 6 7 10 12 13 0 13 10 14 14 14 9 8 5 -> 14 5 0 13 6 8 14 5 10 5 6 7 11 10 14 12 4 14 5 , 5 11 10 12 13 0 4 14 12 15 1 7 6 8 12 4 5 0 13 -> 5 0 13 11 10 9 7 10 14 12 4 9 3 15 4 12 13 0 13 , 5 11 10 9 2 8 12 15 1 8 5 6 3 15 4 14 9 3 13 -> 5 11 10 9 3 4 12 1 3 1 2 8 14 14 5 0 1 3 13 , 12 4 9 7 11 ->= 12 4 9 7 11 , 14 5 11 0 13 0 1 7 11 6 2 3 13 0 13 10 5 11 10 -> 14 5 11 0 13 10 5 11 0 15 13 0 13 6 2 2 7 11 10 , 12 15 4 14 9 3 15 1 2 3 1 3 13 0 1 7 6 2 8 -> 5 6 8 12 4 12 1 3 1 3 1 3 13 6 3 1 3 1 8 , 12 1 2 2 3 4 5 6 2 3 1 7 6 7 0 1 2 2 8 -> 12 1 2 8 9 3 1 7 6 7 6 2 7 0 1 3 1 2 8 , 14 5 10 5 11 6 7 10 12 13 0 13 10 14 14 14 9 8 14 -> 14 5 0 13 6 8 14 5 10 5 6 7 11 10 14 12 4 14 14 , 5 11 10 12 13 0 4 14 12 15 1 7 6 8 12 4 5 0 4 -> 5 0 13 11 10 9 7 10 14 12 4 9 3 15 4 12 13 0 4 , 5 11 10 9 2 8 12 15 1 8 5 6 3 15 4 14 9 3 4 -> 5 11 10 9 3 4 12 1 3 1 2 8 14 14 5 0 1 3 4 , 12 4 9 7 10 ->= 12 4 9 7 10 , 14 5 11 0 13 0 1 7 11 6 2 3 13 0 13 10 5 11 0 -> 14 5 11 0 13 10 5 11 0 15 13 0 13 6 2 2 7 11 0 , 12 15 4 14 9 3 15 1 2 3 1 3 13 0 1 7 6 2 3 -> 5 6 8 12 4 12 1 3 1 3 1 3 13 6 3 1 3 1 3 , 12 1 2 2 3 4 5 6 2 3 1 7 6 7 0 1 2 2 3 -> 12 1 2 8 9 3 1 7 6 7 6 2 7 0 1 3 1 2 3 , 14 5 10 5 11 6 7 10 12 13 0 13 10 14 14 14 9 8 12 -> 14 5 0 13 6 8 14 5 10 5 6 7 11 10 14 12 4 14 12 , 5 11 10 12 13 0 4 14 12 15 1 7 6 8 12 4 5 0 15 -> 5 0 13 11 10 9 7 10 14 12 4 9 3 15 4 12 13 0 15 , 5 11 10 9 2 8 12 15 1 8 5 6 3 15 4 14 9 3 15 -> 5 11 10 9 3 4 12 1 3 1 2 8 14 14 5 0 1 3 15 , 12 4 9 7 0 ->= 12 4 9 7 0 , 14 5 11 0 13 0 1 7 11 6 2 3 13 0 13 10 5 11 6 -> 14 5 11 0 13 10 5 11 0 15 13 0 13 6 2 2 7 11 6 , 12 15 4 14 9 3 15 1 2 3 1 3 13 0 1 7 6 2 2 -> 5 6 8 12 4 12 1 3 1 3 1 3 13 6 3 1 3 1 2 , 12 1 2 2 3 4 5 6 2 3 1 7 6 7 0 1 2 2 2 -> 12 1 2 8 9 3 1 7 6 7 6 2 7 0 1 3 1 2 2 , 14 5 10 5 11 6 7 10 12 13 0 13 10 14 14 14 9 8 9 -> 14 5 0 13 6 8 14 5 10 5 6 7 11 10 14 12 4 14 9 , 5 11 10 12 13 0 4 14 12 15 1 7 6 8 12 4 5 0 1 -> 5 0 13 11 10 9 7 10 14 12 4 9 3 15 4 12 13 0 1 , 5 11 10 9 2 8 12 15 1 8 5 6 3 15 4 14 9 3 1 -> 5 11 10 9 3 4 12 1 3 1 2 8 14 14 5 0 1 3 1 , 12 4 9 7 6 ->= 12 4 9 7 6 , 4 5 11 0 13 0 1 7 11 6 2 3 13 0 13 10 5 11 11 -> 4 5 11 0 13 10 5 11 0 15 13 0 13 6 2 2 7 11 11 , 15 1 2 2 3 4 5 6 2 3 1 7 6 7 0 1 2 2 7 -> 15 1 2 8 9 3 1 7 6 7 6 2 7 0 1 3 1 2 7 , 4 5 10 5 11 6 7 10 12 13 0 13 10 14 14 14 9 8 5 -> 4 5 0 13 6 8 14 5 10 5 6 7 11 10 14 12 4 14 5 , 13 11 10 12 13 0 4 14 12 15 1 7 6 8 12 4 5 0 13 -> 13 0 13 11 10 9 7 10 14 12 4 9 3 15 4 12 13 0 13 , 13 11 10 9 2 8 12 15 1 8 5 6 3 15 4 14 9 3 13 -> 13 11 10 9 3 4 12 1 3 1 2 8 14 14 5 0 1 3 13 , 15 4 9 7 11 ->= 15 4 9 7 11 , 4 5 11 0 13 0 1 7 11 6 2 3 13 0 13 10 5 11 10 -> 4 5 11 0 13 10 5 11 0 15 13 0 13 6 2 2 7 11 10 , 15 1 2 2 3 4 5 6 2 3 1 7 6 7 0 1 2 2 8 -> 15 1 2 8 9 3 1 7 6 7 6 2 7 0 1 3 1 2 8 , 4 5 10 5 11 6 7 10 12 13 0 13 10 14 14 14 9 8 14 -> 4 5 0 13 6 8 14 5 10 5 6 7 11 10 14 12 4 14 14 , 13 11 10 12 13 0 4 14 12 15 1 7 6 8 12 4 5 0 4 -> 13 0 13 11 10 9 7 10 14 12 4 9 3 15 4 12 13 0 4 , 13 11 10 9 2 8 12 15 1 8 5 6 3 15 4 14 9 3 4 -> 13 11 10 9 3 4 12 1 3 1 2 8 14 14 5 0 1 3 4 , 15 4 9 7 10 ->= 15 4 9 7 10 , 4 5 11 0 13 0 1 7 11 6 2 3 13 0 13 10 5 11 0 -> 4 5 11 0 13 10 5 11 0 15 13 0 13 6 2 2 7 11 0 , 15 1 2 2 3 4 5 6 2 3 1 7 6 7 0 1 2 2 3 -> 15 1 2 8 9 3 1 7 6 7 6 2 7 0 1 3 1 2 3 , 4 5 10 5 11 6 7 10 12 13 0 13 10 14 14 14 9 8 12 -> 4 5 0 13 6 8 14 5 10 5 6 7 11 10 14 12 4 14 12 , 13 11 10 12 13 0 4 14 12 15 1 7 6 8 12 4 5 0 15 -> 13 0 13 11 10 9 7 10 14 12 4 9 3 15 4 12 13 0 15 , 13 11 10 9 2 8 12 15 1 8 5 6 3 15 4 14 9 3 15 -> 13 11 10 9 3 4 12 1 3 1 2 8 14 14 5 0 1 3 15 , 15 4 9 7 0 ->= 15 4 9 7 0 , 4 5 11 0 13 0 1 7 11 6 2 3 13 0 13 10 5 11 6 -> 4 5 11 0 13 10 5 11 0 15 13 0 13 6 2 2 7 11 6 , 15 1 2 2 3 4 5 6 2 3 1 7 6 7 0 1 2 2 2 -> 15 1 2 8 9 3 1 7 6 7 6 2 7 0 1 3 1 2 2 , 4 5 10 5 11 6 7 10 12 13 0 13 10 14 14 14 9 8 9 -> 4 5 0 13 6 8 14 5 10 5 6 7 11 10 14 12 4 14 9 , 13 11 10 12 13 0 4 14 12 15 1 7 6 8 12 4 5 0 1 -> 13 0 13 11 10 9 7 10 14 12 4 9 3 15 4 12 13 0 1 , 13 11 10 9 2 8 12 15 1 8 5 6 3 15 4 14 9 3 1 -> 13 11 10 9 3 4 12 1 3 1 2 8 14 14 5 0 1 3 1 , 15 4 9 7 6 ->= 15 4 9 7 6 , 8 5 11 0 13 0 1 7 11 6 2 3 13 0 13 10 5 11 11 -> 8 5 11 0 13 10 5 11 0 15 13 0 13 6 2 2 7 11 11 , 3 1 2 2 3 4 5 6 2 3 1 7 6 7 0 1 2 2 7 -> 3 1 2 8 9 3 1 7 6 7 6 2 7 0 1 3 1 2 7 , 8 5 10 5 11 6 7 10 12 13 0 13 10 14 14 14 9 8 5 -> 8 5 0 13 6 8 14 5 10 5 6 7 11 10 14 12 4 14 5 , 7 11 10 12 13 0 4 14 12 15 1 7 6 8 12 4 5 0 13 -> 7 0 13 11 10 9 7 10 14 12 4 9 3 15 4 12 13 0 13 , 7 11 10 9 2 8 12 15 1 8 5 6 3 15 4 14 9 3 13 -> 7 11 10 9 3 4 12 1 3 1 2 8 14 14 5 0 1 3 13 , 3 4 9 7 11 ->= 3 4 9 7 11 , 8 5 11 0 13 0 1 7 11 6 2 3 13 0 13 10 5 11 10 -> 8 5 11 0 13 10 5 11 0 15 13 0 13 6 2 2 7 11 10 , 3 1 2 2 3 4 5 6 2 3 1 7 6 7 0 1 2 2 8 -> 3 1 2 8 9 3 1 7 6 7 6 2 7 0 1 3 1 2 8 , 8 5 10 5 11 6 7 10 12 13 0 13 10 14 14 14 9 8 14 -> 8 5 0 13 6 8 14 5 10 5 6 7 11 10 14 12 4 14 14 , 7 11 10 12 13 0 4 14 12 15 1 7 6 8 12 4 5 0 4 -> 7 0 13 11 10 9 7 10 14 12 4 9 3 15 4 12 13 0 4 , 7 11 10 9 2 8 12 15 1 8 5 6 3 15 4 14 9 3 4 -> 7 11 10 9 3 4 12 1 3 1 2 8 14 14 5 0 1 3 4 , 3 4 9 7 10 ->= 3 4 9 7 10 , 8 5 11 0 13 0 1 7 11 6 2 3 13 0 13 10 5 11 0 -> 8 5 11 0 13 10 5 11 0 15 13 0 13 6 2 2 7 11 0 , 3 1 2 2 3 4 5 6 2 3 1 7 6 7 0 1 2 2 3 -> 3 1 2 8 9 3 1 7 6 7 6 2 7 0 1 3 1 2 3 , 8 5 10 5 11 6 7 10 12 13 0 13 10 14 14 14 9 8 12 -> 8 5 0 13 6 8 14 5 10 5 6 7 11 10 14 12 4 14 12 , 7 11 10 12 13 0 4 14 12 15 1 7 6 8 12 4 5 0 15 -> 7 0 13 11 10 9 7 10 14 12 4 9 3 15 4 12 13 0 15 , 7 11 10 9 2 8 12 15 1 8 5 6 3 15 4 14 9 3 15 -> 7 11 10 9 3 4 12 1 3 1 2 8 14 14 5 0 1 3 15 , 3 4 9 7 0 ->= 3 4 9 7 0 , 8 5 11 0 13 0 1 7 11 6 2 3 13 0 13 10 5 11 6 -> 8 5 11 0 13 10 5 11 0 15 13 0 13 6 2 2 7 11 6 , 3 1 2 2 3 4 5 6 2 3 1 7 6 7 0 1 2 2 2 -> 3 1 2 8 9 3 1 7 6 7 6 2 7 0 1 3 1 2 2 , 8 5 10 5 11 6 7 10 12 13 0 13 10 14 14 14 9 8 9 -> 8 5 0 13 6 8 14 5 10 5 6 7 11 10 14 12 4 14 9 , 7 11 10 12 13 0 4 14 12 15 1 7 6 8 12 4 5 0 1 -> 7 0 13 11 10 9 7 10 14 12 4 9 3 15 4 12 13 0 1 , 7 11 10 9 2 8 12 15 1 8 5 6 3 15 4 14 9 3 1 -> 7 11 10 9 3 4 12 1 3 1 2 8 14 14 5 0 1 3 1 , 3 4 9 7 6 ->= 3 4 9 7 6 } 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 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 | \ / After renaming modulo { 10->0, 5->1, 11->2, 6->3, 7->4, 12->5, 13->6, 0->7, 14->8, 9->9, 8->10, 4->11, 15->12, 1->13, 3->14, 2->15 }, it remains to prove termination of the 98-rule system { 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 2 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 2 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 7 11 9 4 2 ->= 7 11 9 4 2 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 7 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 7 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 2 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 2 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 7 11 9 4 0 ->= 7 11 9 4 0 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 7 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 7 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 2 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 2 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 7 11 9 4 7 ->= 7 11 9 4 7 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 7 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 7 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 2 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 2 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 7 11 9 4 3 ->= 7 11 9 4 3 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 4 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 4 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 5 11 9 4 2 ->= 5 11 9 4 2 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 10 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 10 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 5 11 9 4 0 ->= 5 11 9 4 0 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 14 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 14 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 5 11 9 4 7 ->= 5 11 9 4 7 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 15 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 15 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 5 11 9 4 3 ->= 5 11 9 4 3 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 12 11 9 4 2 ->= 12 11 9 4 2 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 12 11 9 4 0 ->= 12 11 9 4 0 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 12 11 9 4 7 ->= 12 11 9 4 7 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 12 11 9 4 3 ->= 12 11 9 4 3 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 14 11 9 4 2 ->= 14 11 9 4 2 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 14 11 9 4 0 ->= 14 11 9 4 0 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 14 11 9 4 7 ->= 14 11 9 4 7 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 14 11 9 4 3 ->= 14 11 9 4 3 } 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 }, it remains to prove termination of the 97-rule system { 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 7 11 9 4 2 ->= 7 11 9 4 2 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 7 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 7 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 2 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 2 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 7 11 9 4 0 ->= 7 11 9 4 0 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 7 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 7 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 2 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 2 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 7 11 9 4 7 ->= 7 11 9 4 7 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 7 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 7 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 2 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 2 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 7 11 9 4 3 ->= 7 11 9 4 3 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 4 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 4 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 5 11 9 4 2 ->= 5 11 9 4 2 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 10 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 10 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 5 11 9 4 0 ->= 5 11 9 4 0 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 14 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 14 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 5 11 9 4 7 ->= 5 11 9 4 7 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 15 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 15 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 5 11 9 4 3 ->= 5 11 9 4 3 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 12 11 9 4 2 ->= 12 11 9 4 2 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 12 11 9 4 0 ->= 12 11 9 4 0 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 12 11 9 4 7 ->= 12 11 9 4 7 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 12 11 9 4 3 ->= 12 11 9 4 3 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 14 11 9 4 2 ->= 14 11 9 4 2 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 14 11 9 4 0 ->= 14 11 9 4 0 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 14 11 9 4 7 ->= 14 11 9 4 7 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 14 11 9 4 3 ->= 14 11 9 4 3 } 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 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 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 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 }, it remains to prove termination of the 96-rule system { 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 7 11 9 4 2 ->= 7 11 9 4 2 , 7 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 7 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 2 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 2 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 7 11 9 4 0 ->= 7 11 9 4 0 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 7 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 7 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 2 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 2 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 7 11 9 4 7 ->= 7 11 9 4 7 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 7 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 7 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 2 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 2 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 7 11 9 4 3 ->= 7 11 9 4 3 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 4 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 4 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 5 11 9 4 2 ->= 5 11 9 4 2 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 10 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 10 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 5 11 9 4 0 ->= 5 11 9 4 0 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 14 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 14 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 5 11 9 4 7 ->= 5 11 9 4 7 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 15 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 15 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 5 11 9 4 3 ->= 5 11 9 4 3 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 12 11 9 4 2 ->= 12 11 9 4 2 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 12 11 9 4 0 ->= 12 11 9 4 0 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 12 11 9 4 7 ->= 12 11 9 4 7 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 12 11 9 4 3 ->= 12 11 9 4 3 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 14 11 9 4 2 ->= 14 11 9 4 2 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 14 11 9 4 0 ->= 14 11 9 4 0 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 14 11 9 4 7 ->= 14 11 9 4 7 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 14 11 9 4 3 ->= 14 11 9 4 3 } 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 }, it remains to prove termination of the 95-rule system { 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 7 11 9 4 2 ->= 7 11 9 4 2 , 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 2 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 2 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 7 11 9 4 0 ->= 7 11 9 4 0 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 7 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 7 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 2 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 2 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 7 11 9 4 7 ->= 7 11 9 4 7 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 7 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 7 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 2 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 2 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 7 11 9 4 3 ->= 7 11 9 4 3 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 4 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 4 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 5 11 9 4 2 ->= 5 11 9 4 2 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 10 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 10 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 5 11 9 4 0 ->= 5 11 9 4 0 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 14 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 14 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 5 11 9 4 7 ->= 5 11 9 4 7 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 15 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 15 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 5 11 9 4 3 ->= 5 11 9 4 3 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 12 11 9 4 2 ->= 12 11 9 4 2 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 12 11 9 4 0 ->= 12 11 9 4 0 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 12 11 9 4 7 ->= 12 11 9 4 7 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 12 11 9 4 3 ->= 12 11 9 4 3 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 14 11 9 4 2 ->= 14 11 9 4 2 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 14 11 9 4 0 ->= 14 11 9 4 0 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 14 11 9 4 7 ->= 14 11 9 4 7 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 14 11 9 4 3 ->= 14 11 9 4 3 } 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 | | 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 | \ / 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 }, it remains to prove termination of the 94-rule system { 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 7 11 9 4 2 ->= 7 11 9 4 2 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 2 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 2 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 7 11 9 4 0 ->= 7 11 9 4 0 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 7 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 7 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 2 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 2 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 7 11 9 4 7 ->= 7 11 9 4 7 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 7 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 7 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 2 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 2 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 7 11 9 4 3 ->= 7 11 9 4 3 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 4 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 4 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 5 11 9 4 2 ->= 5 11 9 4 2 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 10 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 10 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 5 11 9 4 0 ->= 5 11 9 4 0 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 14 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 14 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 5 11 9 4 7 ->= 5 11 9 4 7 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 15 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 15 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 5 11 9 4 3 ->= 5 11 9 4 3 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 12 11 9 4 2 ->= 12 11 9 4 2 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 12 11 9 4 0 ->= 12 11 9 4 0 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 12 11 9 4 7 ->= 12 11 9 4 7 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 12 11 9 4 3 ->= 12 11 9 4 3 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 14 11 9 4 2 ->= 14 11 9 4 2 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 14 11 9 4 0 ->= 14 11 9 4 0 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 14 11 9 4 7 ->= 14 11 9 4 7 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 14 11 9 4 3 ->= 14 11 9 4 3 } 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 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 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 }, it remains to prove termination of the 93-rule system { 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 7 11 9 4 2 ->= 7 11 9 4 2 , 2 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 2 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 7 11 9 4 0 ->= 7 11 9 4 0 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 7 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 7 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 2 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 2 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 7 11 9 4 7 ->= 7 11 9 4 7 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 7 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 7 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 2 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 2 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 7 11 9 4 3 ->= 7 11 9 4 3 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 4 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 4 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 5 11 9 4 2 ->= 5 11 9 4 2 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 10 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 10 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 5 11 9 4 0 ->= 5 11 9 4 0 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 14 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 14 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 5 11 9 4 7 ->= 5 11 9 4 7 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 15 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 15 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 5 11 9 4 3 ->= 5 11 9 4 3 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 12 11 9 4 2 ->= 12 11 9 4 2 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 12 11 9 4 0 ->= 12 11 9 4 0 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 12 11 9 4 7 ->= 12 11 9 4 7 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 12 11 9 4 3 ->= 12 11 9 4 3 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 14 11 9 4 2 ->= 14 11 9 4 2 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 14 11 9 4 0 ->= 14 11 9 4 0 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 14 11 9 4 7 ->= 14 11 9 4 7 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 14 11 9 4 3 ->= 14 11 9 4 3 } 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 }, it remains to prove termination of the 92-rule system { 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 7 11 9 4 2 ->= 7 11 9 4 2 , 7 11 9 4 0 ->= 7 11 9 4 0 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 7 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 7 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 2 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 2 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 7 11 9 4 7 ->= 7 11 9 4 7 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 7 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 7 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 2 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 2 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 7 11 9 4 3 ->= 7 11 9 4 3 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 4 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 4 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 5 11 9 4 2 ->= 5 11 9 4 2 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 10 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 10 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 5 11 9 4 0 ->= 5 11 9 4 0 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 14 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 14 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 5 11 9 4 7 ->= 5 11 9 4 7 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 15 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 15 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 5 11 9 4 3 ->= 5 11 9 4 3 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 12 11 9 4 2 ->= 12 11 9 4 2 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 12 11 9 4 0 ->= 12 11 9 4 0 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 12 11 9 4 7 ->= 12 11 9 4 7 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 12 11 9 4 3 ->= 12 11 9 4 3 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 14 11 9 4 2 ->= 14 11 9 4 2 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 14 11 9 4 0 ->= 14 11 9 4 0 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 14 11 9 4 7 ->= 14 11 9 4 7 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 14 11 9 4 3 ->= 14 11 9 4 3 } 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 }, it remains to prove termination of the 91-rule system { 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 7 11 9 4 2 ->= 7 11 9 4 2 , 7 11 9 4 0 ->= 7 11 9 4 0 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 2 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 2 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 7 11 9 4 7 ->= 7 11 9 4 7 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 7 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 7 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 2 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 2 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 7 11 9 4 3 ->= 7 11 9 4 3 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 4 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 4 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 5 11 9 4 2 ->= 5 11 9 4 2 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 10 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 10 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 5 11 9 4 0 ->= 5 11 9 4 0 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 14 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 14 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 5 11 9 4 7 ->= 5 11 9 4 7 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 15 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 15 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 5 11 9 4 3 ->= 5 11 9 4 3 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 12 11 9 4 2 ->= 12 11 9 4 2 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 12 11 9 4 0 ->= 12 11 9 4 0 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 12 11 9 4 7 ->= 12 11 9 4 7 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 12 11 9 4 3 ->= 12 11 9 4 3 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 14 11 9 4 2 ->= 14 11 9 4 2 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 14 11 9 4 0 ->= 14 11 9 4 0 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 14 11 9 4 7 ->= 14 11 9 4 7 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 14 11 9 4 3 ->= 14 11 9 4 3 } 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 | | 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 | \ / 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 }, it remains to prove termination of the 90-rule system { 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 7 11 9 4 2 ->= 7 11 9 4 2 , 7 11 9 4 0 ->= 7 11 9 4 0 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 2 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 2 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 7 11 9 4 7 ->= 7 11 9 4 7 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 7 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 7 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 2 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 2 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 7 11 9 4 3 ->= 7 11 9 4 3 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 4 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 4 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 5 11 9 4 2 ->= 5 11 9 4 2 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 10 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 10 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 5 11 9 4 0 ->= 5 11 9 4 0 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 14 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 14 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 5 11 9 4 7 ->= 5 11 9 4 7 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 15 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 15 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 5 11 9 4 3 ->= 5 11 9 4 3 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 12 11 9 4 2 ->= 12 11 9 4 2 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 12 11 9 4 0 ->= 12 11 9 4 0 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 12 11 9 4 7 ->= 12 11 9 4 7 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 12 11 9 4 3 ->= 12 11 9 4 3 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 14 11 9 4 2 ->= 14 11 9 4 2 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 14 11 9 4 0 ->= 14 11 9 4 0 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 14 11 9 4 7 ->= 14 11 9 4 7 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 14 11 9 4 3 ->= 14 11 9 4 3 } 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 }, it remains to prove termination of the 89-rule system { 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 7 11 9 4 2 ->= 7 11 9 4 2 , 7 11 9 4 0 ->= 7 11 9 4 0 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 2 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 2 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 7 11 9 4 7 ->= 7 11 9 4 7 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 7 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 7 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 2 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 2 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 7 11 9 4 3 ->= 7 11 9 4 3 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 4 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 4 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 5 11 9 4 2 ->= 5 11 9 4 2 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 10 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 10 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 5 11 9 4 0 ->= 5 11 9 4 0 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 14 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 14 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 5 11 9 4 7 ->= 5 11 9 4 7 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 15 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 15 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 5 11 9 4 3 ->= 5 11 9 4 3 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 12 11 9 4 2 ->= 12 11 9 4 2 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 12 11 9 4 0 ->= 12 11 9 4 0 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 12 11 9 4 7 ->= 12 11 9 4 7 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 12 11 9 4 3 ->= 12 11 9 4 3 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 14 11 9 4 2 ->= 14 11 9 4 2 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 14 11 9 4 0 ->= 14 11 9 4 0 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 14 11 9 4 7 ->= 14 11 9 4 7 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 14 11 9 4 3 ->= 14 11 9 4 3 } 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 }, it remains to prove termination of the 88-rule system { 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 7 11 9 4 2 ->= 7 11 9 4 2 , 7 11 9 4 0 ->= 7 11 9 4 0 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 7 11 9 4 7 ->= 7 11 9 4 7 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 7 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 7 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 2 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 2 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 7 11 9 4 3 ->= 7 11 9 4 3 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 4 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 4 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 5 11 9 4 2 ->= 5 11 9 4 2 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 10 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 10 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 5 11 9 4 0 ->= 5 11 9 4 0 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 14 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 14 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 5 11 9 4 7 ->= 5 11 9 4 7 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 15 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 15 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 5 11 9 4 3 ->= 5 11 9 4 3 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 12 11 9 4 2 ->= 12 11 9 4 2 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 12 11 9 4 0 ->= 12 11 9 4 0 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 12 11 9 4 7 ->= 12 11 9 4 7 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 12 11 9 4 3 ->= 12 11 9 4 3 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 14 11 9 4 2 ->= 14 11 9 4 2 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 14 11 9 4 0 ->= 14 11 9 4 0 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 14 11 9 4 7 ->= 14 11 9 4 7 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 14 11 9 4 3 ->= 14 11 9 4 3 } 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 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 }, it remains to prove termination of the 87-rule system { 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 7 11 9 4 2 ->= 7 11 9 4 2 , 7 11 9 4 0 ->= 7 11 9 4 0 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 7 11 9 4 7 ->= 7 11 9 4 7 , 7 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 7 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 2 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 2 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 7 11 9 4 3 ->= 7 11 9 4 3 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 4 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 4 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 5 11 9 4 2 ->= 5 11 9 4 2 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 10 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 10 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 5 11 9 4 0 ->= 5 11 9 4 0 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 14 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 14 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 5 11 9 4 7 ->= 5 11 9 4 7 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 15 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 15 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 5 11 9 4 3 ->= 5 11 9 4 3 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 12 11 9 4 2 ->= 12 11 9 4 2 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 12 11 9 4 0 ->= 12 11 9 4 0 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 12 11 9 4 7 ->= 12 11 9 4 7 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 12 11 9 4 3 ->= 12 11 9 4 3 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 14 11 9 4 2 ->= 14 11 9 4 2 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 14 11 9 4 0 ->= 14 11 9 4 0 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 14 11 9 4 7 ->= 14 11 9 4 7 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 14 11 9 4 3 ->= 14 11 9 4 3 } 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 }, it remains to prove termination of the 86-rule system { 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 7 11 9 4 2 ->= 7 11 9 4 2 , 7 11 9 4 0 ->= 7 11 9 4 0 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 7 11 9 4 7 ->= 7 11 9 4 7 , 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 2 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 2 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 7 11 9 4 3 ->= 7 11 9 4 3 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 4 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 4 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 5 11 9 4 2 ->= 5 11 9 4 2 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 10 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 10 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 5 11 9 4 0 ->= 5 11 9 4 0 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 14 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 14 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 5 11 9 4 7 ->= 5 11 9 4 7 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 15 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 15 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 5 11 9 4 3 ->= 5 11 9 4 3 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 12 11 9 4 2 ->= 12 11 9 4 2 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 12 11 9 4 0 ->= 12 11 9 4 0 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 12 11 9 4 7 ->= 12 11 9 4 7 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 12 11 9 4 3 ->= 12 11 9 4 3 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 14 11 9 4 2 ->= 14 11 9 4 2 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 14 11 9 4 0 ->= 14 11 9 4 0 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 14 11 9 4 7 ->= 14 11 9 4 7 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 14 11 9 4 3 ->= 14 11 9 4 3 } 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 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 | \ / 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 1 | | 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 | \ / 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 }, it remains to prove termination of the 85-rule system { 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 7 11 9 4 2 ->= 7 11 9 4 2 , 7 11 9 4 0 ->= 7 11 9 4 0 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 7 11 9 4 7 ->= 7 11 9 4 7 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 2 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 2 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 7 11 9 4 3 ->= 7 11 9 4 3 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 4 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 4 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 5 11 9 4 2 ->= 5 11 9 4 2 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 10 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 10 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 5 11 9 4 0 ->= 5 11 9 4 0 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 14 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 14 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 5 11 9 4 7 ->= 5 11 9 4 7 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 15 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 15 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 5 11 9 4 3 ->= 5 11 9 4 3 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 12 11 9 4 2 ->= 12 11 9 4 2 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 12 11 9 4 0 ->= 12 11 9 4 0 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 12 11 9 4 7 ->= 12 11 9 4 7 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 12 11 9 4 3 ->= 12 11 9 4 3 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 14 11 9 4 2 ->= 14 11 9 4 2 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 14 11 9 4 0 ->= 14 11 9 4 0 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 14 11 9 4 7 ->= 14 11 9 4 7 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 14 11 9 4 3 ->= 14 11 9 4 3 } 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 }, it remains to prove termination of the 84-rule system { 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 7 11 9 4 2 ->= 7 11 9 4 2 , 7 11 9 4 0 ->= 7 11 9 4 0 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 7 11 9 4 7 ->= 7 11 9 4 7 , 2 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 2 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 7 11 9 4 3 ->= 7 11 9 4 3 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 4 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 4 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 5 11 9 4 2 ->= 5 11 9 4 2 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 10 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 10 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 5 11 9 4 0 ->= 5 11 9 4 0 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 14 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 14 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 5 11 9 4 7 ->= 5 11 9 4 7 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 15 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 15 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 5 11 9 4 3 ->= 5 11 9 4 3 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 12 11 9 4 2 ->= 12 11 9 4 2 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 12 11 9 4 0 ->= 12 11 9 4 0 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 12 11 9 4 7 ->= 12 11 9 4 7 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 12 11 9 4 3 ->= 12 11 9 4 3 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 14 11 9 4 2 ->= 14 11 9 4 2 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 14 11 9 4 0 ->= 14 11 9 4 0 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 14 11 9 4 7 ->= 14 11 9 4 7 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 14 11 9 4 3 ->= 14 11 9 4 3 } 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 }, it remains to prove termination of the 83-rule system { 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 7 11 9 4 2 ->= 7 11 9 4 2 , 7 11 9 4 0 ->= 7 11 9 4 0 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 7 11 9 4 7 ->= 7 11 9 4 7 , 7 11 9 4 3 ->= 7 11 9 4 3 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 4 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 4 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 5 11 9 4 2 ->= 5 11 9 4 2 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 10 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 10 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 5 11 9 4 0 ->= 5 11 9 4 0 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 14 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 14 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 5 11 9 4 7 ->= 5 11 9 4 7 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 15 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 15 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 5 11 9 4 3 ->= 5 11 9 4 3 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 12 11 9 4 2 ->= 12 11 9 4 2 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 12 11 9 4 0 ->= 12 11 9 4 0 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 12 11 9 4 7 ->= 12 11 9 4 7 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 12 11 9 4 3 ->= 12 11 9 4 3 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 14 11 9 4 2 ->= 14 11 9 4 2 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 14 11 9 4 0 ->= 14 11 9 4 0 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 14 11 9 4 7 ->= 14 11 9 4 7 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 14 11 9 4 3 ->= 14 11 9 4 3 } 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 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 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 }, it remains to prove termination of the 82-rule system { 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 7 11 9 4 2 ->= 7 11 9 4 2 , 7 11 9 4 0 ->= 7 11 9 4 0 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 7 11 9 4 7 ->= 7 11 9 4 7 , 7 11 9 4 3 ->= 7 11 9 4 3 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 5 11 9 4 2 ->= 5 11 9 4 2 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 10 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 10 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 5 11 9 4 0 ->= 5 11 9 4 0 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 14 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 14 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 5 11 9 4 7 ->= 5 11 9 4 7 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 15 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 15 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 5 11 9 4 3 ->= 5 11 9 4 3 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 12 11 9 4 2 ->= 12 11 9 4 2 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 12 11 9 4 0 ->= 12 11 9 4 0 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 12 11 9 4 7 ->= 12 11 9 4 7 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 12 11 9 4 3 ->= 12 11 9 4 3 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 14 11 9 4 2 ->= 14 11 9 4 2 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 14 11 9 4 0 ->= 14 11 9 4 0 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 14 11 9 4 7 ->= 14 11 9 4 7 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 14 11 9 4 3 ->= 14 11 9 4 3 } 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 }, it remains to prove termination of the 81-rule system { 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 7 11 9 4 2 ->= 7 11 9 4 2 , 7 11 9 4 0 ->= 7 11 9 4 0 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 7 11 9 4 7 ->= 7 11 9 4 7 , 7 11 9 4 3 ->= 7 11 9 4 3 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 5 11 9 4 2 ->= 5 11 9 4 2 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 10 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 10 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 5 11 9 4 0 ->= 5 11 9 4 0 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 14 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 14 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 5 11 9 4 7 ->= 5 11 9 4 7 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 15 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 15 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 5 11 9 4 3 ->= 5 11 9 4 3 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 12 11 9 4 2 ->= 12 11 9 4 2 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 12 11 9 4 0 ->= 12 11 9 4 0 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 12 11 9 4 7 ->= 12 11 9 4 7 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 12 11 9 4 3 ->= 12 11 9 4 3 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 14 11 9 4 2 ->= 14 11 9 4 2 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 14 11 9 4 0 ->= 14 11 9 4 0 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 14 11 9 4 7 ->= 14 11 9 4 7 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 14 11 9 4 3 ->= 14 11 9 4 3 } 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 }, it remains to prove termination of the 80-rule system { 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 7 11 9 4 2 ->= 7 11 9 4 2 , 7 11 9 4 0 ->= 7 11 9 4 0 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 7 11 9 4 7 ->= 7 11 9 4 7 , 7 11 9 4 3 ->= 7 11 9 4 3 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 5 11 9 4 2 ->= 5 11 9 4 2 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 10 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 10 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 5 11 9 4 0 ->= 5 11 9 4 0 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 14 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 14 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 5 11 9 4 7 ->= 5 11 9 4 7 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 15 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 15 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 5 11 9 4 3 ->= 5 11 9 4 3 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 12 11 9 4 2 ->= 12 11 9 4 2 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 12 11 9 4 0 ->= 12 11 9 4 0 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 12 11 9 4 7 ->= 12 11 9 4 7 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 12 11 9 4 3 ->= 12 11 9 4 3 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 14 11 9 4 2 ->= 14 11 9 4 2 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 14 11 9 4 0 ->= 14 11 9 4 0 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 14 11 9 4 7 ->= 14 11 9 4 7 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 14 11 9 4 3 ->= 14 11 9 4 3 } 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 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 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 }, it remains to prove termination of the 79-rule system { 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 7 11 9 4 2 ->= 7 11 9 4 2 , 7 11 9 4 0 ->= 7 11 9 4 0 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 7 11 9 4 7 ->= 7 11 9 4 7 , 7 11 9 4 3 ->= 7 11 9 4 3 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 5 11 9 4 2 ->= 5 11 9 4 2 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 5 11 9 4 0 ->= 5 11 9 4 0 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 14 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 14 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 5 11 9 4 7 ->= 5 11 9 4 7 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 15 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 15 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 5 11 9 4 3 ->= 5 11 9 4 3 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 12 11 9 4 2 ->= 12 11 9 4 2 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 12 11 9 4 0 ->= 12 11 9 4 0 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 12 11 9 4 7 ->= 12 11 9 4 7 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 12 11 9 4 3 ->= 12 11 9 4 3 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 14 11 9 4 2 ->= 14 11 9 4 2 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 14 11 9 4 0 ->= 14 11 9 4 0 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 14 11 9 4 7 ->= 14 11 9 4 7 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 14 11 9 4 3 ->= 14 11 9 4 3 } 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 }, it remains to prove termination of the 78-rule system { 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 7 11 9 4 2 ->= 7 11 9 4 2 , 7 11 9 4 0 ->= 7 11 9 4 0 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 7 11 9 4 7 ->= 7 11 9 4 7 , 7 11 9 4 3 ->= 7 11 9 4 3 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 5 11 9 4 2 ->= 5 11 9 4 2 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 5 11 9 4 0 ->= 5 11 9 4 0 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 14 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 14 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 5 11 9 4 7 ->= 5 11 9 4 7 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 15 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 15 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 5 11 9 4 3 ->= 5 11 9 4 3 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 12 11 9 4 2 ->= 12 11 9 4 2 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 12 11 9 4 0 ->= 12 11 9 4 0 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 12 11 9 4 7 ->= 12 11 9 4 7 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 12 11 9 4 3 ->= 12 11 9 4 3 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 14 11 9 4 2 ->= 14 11 9 4 2 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 14 11 9 4 0 ->= 14 11 9 4 0 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 14 11 9 4 7 ->= 14 11 9 4 7 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 14 11 9 4 3 ->= 14 11 9 4 3 } 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 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 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 }, it remains to prove termination of the 77-rule system { 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 7 11 9 4 2 ->= 7 11 9 4 2 , 7 11 9 4 0 ->= 7 11 9 4 0 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 7 11 9 4 7 ->= 7 11 9 4 7 , 7 11 9 4 3 ->= 7 11 9 4 3 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 5 11 9 4 2 ->= 5 11 9 4 2 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 5 11 9 4 0 ->= 5 11 9 4 0 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 14 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 14 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 5 11 9 4 7 ->= 5 11 9 4 7 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 15 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 15 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 5 11 9 4 3 ->= 5 11 9 4 3 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 12 11 9 4 2 ->= 12 11 9 4 2 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 12 11 9 4 0 ->= 12 11 9 4 0 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 12 11 9 4 7 ->= 12 11 9 4 7 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 12 11 9 4 3 ->= 12 11 9 4 3 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 14 11 9 4 2 ->= 14 11 9 4 2 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 14 11 9 4 0 ->= 14 11 9 4 0 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 14 11 9 4 7 ->= 14 11 9 4 7 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 14 11 9 4 3 ->= 14 11 9 4 3 } 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 }, it remains to prove termination of the 76-rule system { 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 7 11 9 4 2 ->= 7 11 9 4 2 , 7 11 9 4 0 ->= 7 11 9 4 0 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 7 11 9 4 7 ->= 7 11 9 4 7 , 7 11 9 4 3 ->= 7 11 9 4 3 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 5 11 9 4 2 ->= 5 11 9 4 2 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 5 11 9 4 0 ->= 5 11 9 4 0 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 14 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 14 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 5 11 9 4 7 ->= 5 11 9 4 7 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 15 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 15 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 5 11 9 4 3 ->= 5 11 9 4 3 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 12 11 9 4 2 ->= 12 11 9 4 2 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 12 11 9 4 0 ->= 12 11 9 4 0 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 12 11 9 4 7 ->= 12 11 9 4 7 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 12 11 9 4 3 ->= 12 11 9 4 3 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 14 11 9 4 2 ->= 14 11 9 4 2 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 14 11 9 4 0 ->= 14 11 9 4 0 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 14 11 9 4 7 ->= 14 11 9 4 7 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 14 11 9 4 3 ->= 14 11 9 4 3 } 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 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 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 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 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 }, it remains to prove termination of the 75-rule system { 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 7 11 9 4 2 ->= 7 11 9 4 2 , 7 11 9 4 0 ->= 7 11 9 4 0 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 7 11 9 4 7 ->= 7 11 9 4 7 , 7 11 9 4 3 ->= 7 11 9 4 3 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 5 11 9 4 2 ->= 5 11 9 4 2 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 5 11 9 4 0 ->= 5 11 9 4 0 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 5 11 9 4 7 ->= 5 11 9 4 7 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 15 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 15 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 5 11 9 4 3 ->= 5 11 9 4 3 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 12 11 9 4 2 ->= 12 11 9 4 2 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 12 11 9 4 0 ->= 12 11 9 4 0 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 12 11 9 4 7 ->= 12 11 9 4 7 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 12 11 9 4 3 ->= 12 11 9 4 3 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 14 11 9 4 2 ->= 14 11 9 4 2 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 14 11 9 4 0 ->= 14 11 9 4 0 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 14 11 9 4 7 ->= 14 11 9 4 7 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 14 11 9 4 3 ->= 14 11 9 4 3 } 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 }, it remains to prove termination of the 74-rule system { 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 7 11 9 4 2 ->= 7 11 9 4 2 , 7 11 9 4 0 ->= 7 11 9 4 0 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 7 11 9 4 7 ->= 7 11 9 4 7 , 7 11 9 4 3 ->= 7 11 9 4 3 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 5 11 9 4 2 ->= 5 11 9 4 2 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 5 11 9 4 0 ->= 5 11 9 4 0 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 5 11 9 4 7 ->= 5 11 9 4 7 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 15 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 15 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 5 11 9 4 3 ->= 5 11 9 4 3 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 12 11 9 4 2 ->= 12 11 9 4 2 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 12 11 9 4 0 ->= 12 11 9 4 0 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 12 11 9 4 7 ->= 12 11 9 4 7 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 12 11 9 4 3 ->= 12 11 9 4 3 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 14 11 9 4 2 ->= 14 11 9 4 2 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 14 11 9 4 0 ->= 14 11 9 4 0 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 14 11 9 4 7 ->= 14 11 9 4 7 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 14 11 9 4 3 ->= 14 11 9 4 3 } 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 }, it remains to prove termination of the 73-rule system { 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 7 11 9 4 2 ->= 7 11 9 4 2 , 7 11 9 4 0 ->= 7 11 9 4 0 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 7 11 9 4 7 ->= 7 11 9 4 7 , 7 11 9 4 3 ->= 7 11 9 4 3 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 5 11 9 4 2 ->= 5 11 9 4 2 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 5 11 9 4 0 ->= 5 11 9 4 0 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 5 11 9 4 7 ->= 5 11 9 4 7 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 15 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 15 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 5 11 9 4 3 ->= 5 11 9 4 3 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 12 11 9 4 2 ->= 12 11 9 4 2 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 12 11 9 4 0 ->= 12 11 9 4 0 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 12 11 9 4 7 ->= 12 11 9 4 7 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 12 11 9 4 3 ->= 12 11 9 4 3 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 14 11 9 4 2 ->= 14 11 9 4 2 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 14 11 9 4 0 ->= 14 11 9 4 0 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 14 11 9 4 7 ->= 14 11 9 4 7 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 14 11 9 4 3 ->= 14 11 9 4 3 } 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 }, it remains to prove termination of the 72-rule system { 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 7 11 9 4 2 ->= 7 11 9 4 2 , 7 11 9 4 0 ->= 7 11 9 4 0 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 7 11 9 4 7 ->= 7 11 9 4 7 , 7 11 9 4 3 ->= 7 11 9 4 3 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 5 11 9 4 2 ->= 5 11 9 4 2 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 5 11 9 4 0 ->= 5 11 9 4 0 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 5 11 9 4 7 ->= 5 11 9 4 7 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 5 12 11 8 9 14 12 13 15 14 13 14 6 7 13 4 3 15 15 -> 1 3 10 5 11 5 13 14 13 14 13 14 6 3 14 13 14 13 15 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 5 11 9 4 3 ->= 5 11 9 4 3 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 12 11 9 4 2 ->= 12 11 9 4 2 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 12 11 9 4 0 ->= 12 11 9 4 0 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 12 11 9 4 7 ->= 12 11 9 4 7 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 12 11 9 4 3 ->= 12 11 9 4 3 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 14 11 9 4 2 ->= 14 11 9 4 2 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 14 11 9 4 0 ->= 14 11 9 4 0 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 14 11 9 4 7 ->= 14 11 9 4 7 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 14 11 9 4 3 ->= 14 11 9 4 3 } 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 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 }, it remains to prove termination of the 71-rule system { 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 7 11 9 4 2 ->= 7 11 9 4 2 , 7 11 9 4 0 ->= 7 11 9 4 0 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 7 11 9 4 7 ->= 7 11 9 4 7 , 7 11 9 4 3 ->= 7 11 9 4 3 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 5 11 9 4 2 ->= 5 11 9 4 2 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 5 11 9 4 0 ->= 5 11 9 4 0 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 5 11 9 4 7 ->= 5 11 9 4 7 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 5 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 5 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 1 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 1 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 5 11 9 4 3 ->= 5 11 9 4 3 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 12 11 9 4 2 ->= 12 11 9 4 2 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 12 11 9 4 0 ->= 12 11 9 4 0 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 12 11 9 4 7 ->= 12 11 9 4 7 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 12 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 12 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 6 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 6 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 12 11 9 4 3 ->= 12 11 9 4 3 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 4 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 4 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 6 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 6 , 14 11 9 4 2 ->= 14 11 9 4 2 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 10 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 10 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 11 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 11 , 14 11 9 4 0 ->= 14 11 9 4 0 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 14 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 14 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 12 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 12 , 14 11 9 4 7 ->= 14 11 9 4 7 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 14 13 15 15 14 11 1 3 15 14 13 4 3 4 7 13 15 15 15 -> 14 13 15 10 9 14 13 4 3 4 3 15 4 7 13 14 13 15 15 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 4 2 0 9 15 10 5 12 13 10 1 3 14 12 11 8 9 14 13 -> 4 2 0 9 14 11 5 13 14 13 15 10 8 8 1 7 13 14 13 , 14 11 9 4 3 ->= 14 11 9 4 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 1 | | 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 0 | | 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 0 | | 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 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 | \ / 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 }, it remains to prove termination of the 53-rule system { 0 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 0 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 2 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 2 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 7 11 9 4 2 ->= 7 11 9 4 2 , 7 11 9 4 0 ->= 7 11 9 4 0 , 0 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 0 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 7 11 9 4 7 ->= 7 11 9 4 7 , 7 11 9 4 3 ->= 7 11 9 4 3 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 5 11 9 4 2 ->= 5 11 9 4 2 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 5 11 9 4 0 ->= 5 11 9 4 0 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 5 11 9 4 7 ->= 5 11 9 4 7 , 8 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 8 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 8 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 8 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 1 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 1 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 5 11 9 4 3 ->= 5 11 9 4 3 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 12 11 9 4 2 ->= 12 11 9 4 2 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 12 11 9 4 0 ->= 12 11 9 4 0 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 12 11 9 4 7 ->= 12 11 9 4 7 , 11 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 11 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 11 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 11 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 6 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 6 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 12 11 9 4 3 ->= 12 11 9 4 3 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 2 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 2 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 1 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 1 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 6 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 6 , 14 11 9 4 2 ->= 14 11 9 4 2 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 0 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 0 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 8 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 8 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 11 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 11 , 14 11 9 4 0 ->= 14 11 9 4 0 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 7 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 7 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 5 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 5 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 12 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 12 , 14 11 9 4 7 ->= 14 11 9 4 7 , 10 1 2 7 6 7 13 4 2 3 15 14 6 7 6 0 1 2 3 -> 10 1 2 7 6 0 1 2 7 12 6 7 6 3 15 15 4 2 3 , 10 1 0 1 2 3 4 0 5 6 7 6 0 8 8 8 9 10 9 -> 10 1 7 6 3 10 8 1 0 1 3 4 2 0 8 5 11 8 9 , 4 2 0 5 6 7 11 8 5 12 13 4 3 10 5 11 1 7 13 -> 4 7 6 2 0 9 4 0 8 5 11 9 14 12 11 5 6 7 13 , 14 11 9 4 3 ->= 14 11 9 4 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 1 | | 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 0 | | 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 0 | | 0 1 | \ / 9 is interpreted by / \ | 1 1 | | 0 1 | \ / 10 is interpreted by / \ | 1 1 | | 0 1 | \ / 11 is interpreted by / \ | 1 0 | | 0 1 | \ / 12 is interpreted by / \ | 1 0 | | 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 | \ / After renaming modulo { 2->0, 0->1, 5->2, 6->3, 7->4, 11->5, 8->6, 12->7, 13->8, 4->9, 3->10, 10->11, 1->12, 9->13, 14->14 }, it remains to prove termination of the 27-rule system { 0 0 1 2 3 4 5 6 2 7 8 9 10 11 2 5 12 4 3 -> 0 4 3 0 1 13 9 1 6 2 5 13 14 7 5 2 3 4 3 , 4 5 13 9 0 ->= 4 5 13 9 0 , 4 5 13 9 1 ->= 4 5 13 9 1 , 4 5 13 9 4 ->= 4 5 13 9 4 , 4 5 13 9 10 ->= 4 5 13 9 10 , 12 0 1 2 3 4 5 6 2 7 8 9 10 11 2 5 12 4 3 -> 12 4 3 0 1 13 9 1 6 2 5 13 14 7 5 2 3 4 3 , 2 5 13 9 0 ->= 2 5 13 9 0 , 2 5 13 9 1 ->= 2 5 13 9 1 , 2 5 13 9 4 ->= 2 5 13 9 4 , 12 0 1 2 3 4 5 6 2 7 8 9 10 11 2 5 12 4 8 -> 12 4 3 0 1 13 9 1 6 2 5 13 14 7 5 2 3 4 8 , 2 5 13 9 10 ->= 2 5 13 9 10 , 3 0 1 2 3 4 5 6 2 7 8 9 10 11 2 5 12 4 3 -> 3 4 3 0 1 13 9 1 6 2 5 13 14 7 5 2 3 4 3 , 7 5 13 9 0 ->= 7 5 13 9 0 , 3 0 1 2 3 4 5 6 2 7 8 9 10 11 2 5 12 4 5 -> 3 4 3 0 1 13 9 1 6 2 5 13 14 7 5 2 3 4 5 , 7 5 13 9 1 ->= 7 5 13 9 1 , 3 0 1 2 3 4 5 6 2 7 8 9 10 11 2 5 12 4 7 -> 3 4 3 0 1 13 9 1 6 2 5 13 14 7 5 2 3 4 7 , 7 5 13 9 4 ->= 7 5 13 9 4 , 3 0 1 2 3 4 5 6 2 7 8 9 10 11 2 5 12 4 8 -> 3 4 3 0 1 13 9 1 6 2 5 13 14 7 5 2 3 4 8 , 7 5 13 9 10 ->= 7 5 13 9 10 , 9 0 1 2 3 4 5 6 2 7 8 9 10 11 2 5 12 4 3 -> 9 4 3 0 1 13 9 1 6 2 5 13 14 7 5 2 3 4 3 , 14 5 13 9 0 ->= 14 5 13 9 0 , 9 0 1 2 3 4 5 6 2 7 8 9 10 11 2 5 12 4 5 -> 9 4 3 0 1 13 9 1 6 2 5 13 14 7 5 2 3 4 5 , 14 5 13 9 1 ->= 14 5 13 9 1 , 9 0 1 2 3 4 5 6 2 7 8 9 10 11 2 5 12 4 7 -> 9 4 3 0 1 13 9 1 6 2 5 13 14 7 5 2 3 4 7 , 14 5 13 9 4 ->= 14 5 13 9 4 , 9 0 1 2 3 4 5 6 2 7 8 9 10 11 2 5 12 4 8 -> 9 4 3 0 1 13 9 1 6 2 5 13 14 7 5 2 3 4 8 , 14 5 13 9 10 ->= 14 5 13 9 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 0 | | 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 0 | | 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 0 | | 0 1 | \ / 14 is interpreted by / \ | 1 0 | | 0 1 | \ / After renaming modulo { 4->0, 5->1, 13->2, 9->3, 0->4, 1->5, 10->6, 2->7, 7->8, 14->9 }, it remains to prove termination of the 16-rule system { 0 1 2 3 4 ->= 0 1 2 3 4 , 0 1 2 3 5 ->= 0 1 2 3 5 , 0 1 2 3 0 ->= 0 1 2 3 0 , 0 1 2 3 6 ->= 0 1 2 3 6 , 7 1 2 3 4 ->= 7 1 2 3 4 , 7 1 2 3 5 ->= 7 1 2 3 5 , 7 1 2 3 0 ->= 7 1 2 3 0 , 7 1 2 3 6 ->= 7 1 2 3 6 , 8 1 2 3 4 ->= 8 1 2 3 4 , 8 1 2 3 5 ->= 8 1 2 3 5 , 8 1 2 3 0 ->= 8 1 2 3 0 , 8 1 2 3 6 ->= 8 1 2 3 6 , 9 1 2 3 4 ->= 9 1 2 3 4 , 9 1 2 3 5 ->= 9 1 2 3 5 , 9 1 2 3 0 ->= 9 1 2 3 0 , 9 1 2 3 6 ->= 9 1 2 3 6 } The system is trivially terminating.