YES After renaming modulo { 0->0, 2->1, 1->2, 3->3 }, it remains to prove termination of the 81-rule system { 0 0 1 1 2 3 1 1 1 2 0 1 1 0 1 1 0 0 -> 0 1 1 1 1 2 3 0 0 1 2 0 1 1 1 1 0 0 , 0 0 3 2 0 1 1 0 1 3 2 2 0 2 1 1 0 2 -> 0 1 2 2 3 0 0 0 2 0 1 3 2 1 1 0 1 2 , 0 2 0 1 2 2 0 0 2 0 3 2 2 0 1 2 1 3 -> 0 2 1 0 0 1 2 2 0 2 2 2 0 2 3 0 1 3 , 0 2 0 3 1 0 0 0 3 3 0 1 1 1 1 2 2 2 -> 0 0 2 2 3 0 3 0 0 1 1 1 0 1 1 2 3 2 , 0 2 2 2 2 3 2 2 0 2 3 2 0 1 3 3 3 1 -> 0 1 0 2 3 2 2 3 2 0 2 3 1 2 3 2 2 3 , 0 2 1 3 1 2 0 2 1 1 0 0 2 0 3 2 0 2 -> 0 1 2 2 2 0 1 1 0 0 2 2 0 3 0 2 3 1 , 0 1 2 0 3 0 3 0 3 1 0 2 0 2 1 1 2 2 -> 0 1 3 0 3 1 1 2 1 2 2 0 0 3 0 0 2 2 , 0 1 3 0 2 1 3 1 0 3 2 0 0 0 3 3 0 3 -> 0 1 2 3 0 0 3 3 0 2 0 1 1 3 3 0 0 3 , 0 3 0 2 0 3 0 2 2 2 1 0 0 0 3 1 2 0 -> 0 0 1 1 2 3 0 0 2 3 0 2 0 2 0 0 2 3 , 0 3 2 2 1 3 0 3 0 2 0 2 1 1 2 0 1 1 -> 0 0 2 3 0 0 1 1 1 3 1 2 2 2 2 0 3 1 , 0 3 1 0 3 2 0 2 0 3 0 3 0 0 3 0 0 0 -> 0 3 0 0 0 0 2 1 0 3 3 0 0 3 0 2 3 0 , 2 0 0 0 2 1 3 3 1 1 2 0 1 3 3 1 0 3 -> 3 0 1 2 2 3 3 2 0 0 1 0 1 1 3 1 0 3 , 2 0 2 0 1 0 1 3 2 2 1 1 0 0 3 0 3 1 -> 0 0 0 2 2 3 2 3 1 0 0 1 1 2 3 0 1 1 , 2 0 2 3 1 1 3 1 0 0 2 0 3 1 3 1 3 3 -> 2 3 3 2 1 1 0 3 0 0 2 3 0 1 1 3 1 3 , 2 0 1 3 2 1 3 2 1 3 1 3 1 2 1 1 1 1 -> 1 3 1 1 3 0 1 2 3 1 1 2 2 2 3 1 1 1 , 2 0 1 3 3 3 2 0 1 0 2 1 1 3 1 2 0 2 -> 1 3 1 2 0 2 3 2 3 0 1 3 0 1 0 2 1 2 , 2 0 3 0 3 2 0 3 3 2 1 2 3 1 0 1 2 0 -> 1 1 2 3 0 0 2 3 2 0 1 0 0 3 3 3 2 2 , 2 0 3 3 2 0 3 3 3 2 2 3 1 0 0 2 3 2 -> 2 3 3 0 2 3 3 0 2 3 3 0 2 3 1 2 0 2 , 2 2 0 0 2 1 2 1 1 0 3 2 1 3 1 0 0 3 -> 2 1 1 0 1 2 0 1 2 0 0 1 3 0 2 2 3 3 , 2 2 0 3 2 0 1 3 2 2 0 3 3 0 3 2 2 2 -> 2 2 3 2 3 1 3 0 2 0 3 0 2 3 2 0 2 2 , 2 2 0 3 2 0 3 3 3 2 2 1 1 1 1 0 2 1 -> 1 2 2 0 0 2 2 1 3 3 3 0 2 1 3 1 2 1 , 2 2 2 2 0 2 3 1 2 2 1 1 0 1 1 3 0 1 -> 2 2 2 1 3 0 1 1 2 2 2 1 3 0 2 1 0 1 , 2 2 2 1 2 2 2 1 2 3 2 0 2 1 2 1 3 2 -> 2 2 2 2 2 2 3 0 1 1 2 2 2 1 3 2 1 2 , 2 2 2 3 2 3 2 0 3 1 2 3 1 2 0 3 0 3 -> 2 1 1 3 0 2 3 2 2 3 0 0 2 3 2 2 3 3 , 2 2 3 1 0 1 3 2 0 2 0 1 3 3 1 1 0 0 -> 1 0 1 3 1 0 1 0 2 1 2 3 0 2 3 0 2 3 , 2 2 3 3 1 2 3 3 1 0 2 3 3 3 0 3 1 2 -> 2 3 2 3 0 3 3 3 2 3 3 1 3 2 1 0 1 2 , 2 1 0 0 1 2 3 1 1 3 1 1 0 3 1 3 1 1 -> 2 1 0 3 1 1 1 1 3 0 0 1 1 1 3 2 3 1 , 2 1 0 2 1 2 0 1 0 0 3 2 0 1 0 3 1 1 -> 2 2 0 0 0 1 2 0 1 0 3 1 1 2 0 1 3 1 , 2 1 0 1 0 0 0 3 0 2 0 2 2 0 3 2 0 3 -> 2 3 0 3 2 2 0 2 2 0 0 0 1 1 3 0 0 0 , 2 1 2 0 3 2 3 3 1 1 1 1 0 0 3 2 0 2 -> 3 2 1 0 2 3 1 3 1 1 0 0 0 1 3 2 2 2 , 2 1 2 1 2 1 0 2 0 2 3 2 0 0 0 2 3 3 -> 2 2 1 1 2 0 2 3 0 2 2 3 0 1 2 3 0 0 , 2 1 2 3 1 3 3 2 2 2 0 2 0 0 3 1 0 3 -> 2 3 3 1 3 0 1 2 3 2 2 3 2 1 2 0 0 0 , 2 1 3 0 3 1 0 1 0 1 0 3 1 0 1 1 0 0 -> 2 1 1 1 0 3 3 0 0 1 0 0 0 1 1 1 3 0 , 2 1 3 2 2 0 0 3 3 0 1 2 3 3 0 3 1 3 -> 3 2 3 0 1 3 3 2 3 0 1 2 1 0 0 2 3 3 , 2 1 3 3 2 1 1 1 2 0 2 1 0 2 3 1 0 2 -> 3 3 0 0 1 0 1 1 2 2 2 3 2 1 1 2 1 2 , 2 1 3 3 1 2 0 3 1 1 2 0 3 2 0 0 0 0 -> 0 3 0 2 1 2 3 0 2 0 1 2 1 3 3 0 1 0 , 2 3 2 2 0 2 1 2 2 2 0 3 2 2 0 1 3 2 -> 2 2 3 1 2 3 2 2 0 0 2 3 1 2 0 2 2 2 , 2 3 2 3 1 0 2 3 2 2 3 1 3 3 3 3 0 2 -> 2 3 3 3 2 1 3 2 3 0 1 2 2 3 0 3 3 2 , 2 3 1 1 2 0 2 1 2 0 3 2 0 3 1 3 0 3 -> 3 2 3 1 2 2 0 0 1 0 0 3 2 3 1 1 2 3 , 2 3 3 0 0 3 3 2 0 0 1 3 3 2 3 1 3 2 -> 2 3 0 0 2 3 0 2 3 3 1 1 3 3 3 3 0 2 , 2 3 3 0 2 2 3 1 1 2 2 0 3 2 1 2 0 0 -> 2 3 2 2 0 0 2 2 1 2 3 0 1 3 2 0 1 3 , 2 3 3 1 1 2 0 3 1 2 2 2 1 3 2 0 2 0 -> 1 0 2 1 2 1 2 3 2 2 3 0 3 1 2 3 0 2 , 1 0 0 3 2 1 3 1 0 1 3 0 2 1 1 0 0 1 -> 1 0 1 3 2 3 0 0 3 1 0 2 0 1 0 1 1 1 , 1 0 2 0 1 1 1 1 0 3 1 3 2 1 3 0 3 1 -> 1 0 1 0 1 1 3 0 3 3 2 3 0 2 1 1 1 1 , 1 0 2 3 3 3 3 3 2 2 3 1 0 2 0 0 2 0 -> 2 3 0 1 2 2 3 0 1 3 0 0 3 2 3 3 2 0 , 1 0 3 0 3 1 3 1 2 0 2 1 1 0 0 0 2 1 -> 0 1 1 2 1 0 2 1 0 3 0 0 1 2 3 0 3 1 , 1 2 0 2 2 3 3 0 2 0 2 1 3 3 0 3 1 1 -> 0 3 3 2 3 3 0 1 2 2 3 2 0 1 2 1 0 1 , 1 2 2 2 0 1 1 1 2 0 1 0 0 1 1 1 1 2 -> 1 1 1 1 2 2 1 0 2 0 0 0 1 2 1 1 1 2 , 1 2 1 1 1 0 1 2 1 3 0 0 3 2 1 1 2 3 -> 0 1 0 1 2 3 1 1 2 3 1 1 2 3 0 1 2 1 , 1 2 1 1 1 2 3 1 0 0 1 3 1 3 3 3 0 3 -> 1 3 3 2 3 1 0 3 1 2 3 0 1 1 1 1 3 0 , 1 2 1 1 3 1 3 0 2 3 1 2 2 3 3 1 1 1 -> 1 2 2 2 3 1 3 1 1 3 0 1 3 1 2 3 1 1 , 1 2 1 3 3 3 0 1 0 0 1 1 2 0 1 0 1 0 -> 0 3 0 1 1 1 2 3 0 0 2 3 0 0 1 1 1 1 , 1 2 3 3 3 2 1 2 1 2 0 0 3 2 3 1 0 0 -> 1 2 3 0 2 3 2 0 1 1 0 0 2 3 2 3 1 3 , 1 1 0 0 1 2 2 1 2 1 0 2 1 1 1 1 1 1 -> 1 1 1 1 2 2 0 1 2 2 1 1 0 1 0 1 1 1 , 1 1 0 3 2 1 0 3 2 1 2 3 0 2 0 3 0 0 -> 1 3 1 1 2 3 0 3 0 2 3 0 0 0 2 2 1 0 , 1 1 2 0 2 1 0 0 3 0 1 2 2 1 2 1 2 1 -> 1 1 2 0 3 1 2 2 2 0 0 1 0 2 1 1 2 1 , 1 1 2 2 1 3 2 1 2 3 2 0 1 1 0 3 2 2 -> 1 1 2 1 3 2 2 3 2 1 1 2 0 0 1 2 3 2 , 1 1 2 2 3 2 0 0 2 1 3 1 3 2 0 2 2 0 -> 0 2 1 1 3 2 0 1 2 3 1 2 2 3 0 2 2 0 , 1 1 2 1 3 1 0 1 0 3 2 0 2 2 0 2 3 3 -> 1 1 0 2 1 0 2 1 3 2 0 1 0 2 3 2 3 3 , 1 1 1 1 2 2 0 2 2 1 1 0 0 2 1 1 2 2 -> 0 1 2 1 0 1 0 1 1 2 1 1 1 2 2 2 2 2 , 1 1 3 2 1 3 0 3 2 2 2 0 2 2 0 2 3 2 -> 1 3 2 2 1 0 2 3 2 2 0 2 2 3 2 3 0 1 , 1 1 3 3 2 3 2 2 0 2 1 1 0 3 1 0 3 3 -> 1 1 3 2 3 1 2 3 3 2 0 0 1 3 3 2 0 1 , 1 3 0 1 0 3 1 0 1 3 1 2 1 1 1 3 0 3 -> 1 3 1 3 3 0 0 1 1 1 2 3 1 0 1 3 1 0 , 1 3 2 0 2 0 2 1 2 0 3 2 0 3 2 1 1 3 -> 1 2 1 2 2 0 2 0 1 3 0 0 3 3 3 2 2 1 , 1 3 2 0 1 3 2 0 0 2 0 2 0 2 1 1 2 0 -> 1 0 3 2 0 2 0 2 1 0 1 1 2 3 0 0 2 2 , 1 3 2 2 0 3 2 1 2 0 2 3 1 0 2 1 2 2 -> 1 3 1 0 2 2 2 3 1 2 2 3 0 0 2 2 1 2 , 1 3 1 2 0 0 0 1 3 1 3 0 3 0 1 2 2 1 -> 1 1 3 0 3 0 1 2 0 1 1 0 2 3 2 3 0 1 , 1 3 1 1 1 3 0 3 2 0 3 1 2 2 1 0 1 3 -> 1 1 2 2 0 2 1 3 3 0 3 3 1 1 1 0 1 3 , 1 3 3 1 3 2 0 2 2 2 3 2 0 2 0 3 1 0 -> 1 2 0 0 2 1 3 2 2 3 3 3 2 2 3 1 0 0 , 3 0 2 0 2 1 3 3 2 1 3 1 2 2 2 3 3 0 -> 3 0 2 1 2 3 3 2 3 0 2 3 2 1 0 2 3 1 , 3 0 3 2 0 2 0 3 3 2 0 3 1 3 3 1 0 3 -> 2 3 0 1 0 0 3 3 1 2 3 0 3 3 2 3 3 0 , 3 2 0 0 3 0 3 1 3 1 3 0 2 0 2 2 1 3 -> 3 0 2 3 1 3 3 2 2 0 1 0 0 3 2 3 0 1 , 3 2 2 0 3 0 2 2 3 1 2 1 3 3 2 3 3 2 -> 3 2 3 1 2 2 2 3 3 0 3 1 2 3 0 2 3 2 , 3 2 1 0 3 1 1 3 1 0 3 3 1 3 3 2 2 3 -> 3 1 1 3 2 3 3 1 2 3 3 0 1 0 1 3 2 3 , 3 2 1 3 1 0 1 3 2 2 2 3 3 1 0 0 0 3 -> 3 2 3 1 2 3 0 1 2 0 0 1 3 2 1 3 3 0 , 3 1 0 2 1 2 0 3 3 3 3 2 1 2 2 0 2 0 -> 3 0 0 1 2 3 1 3 3 2 2 3 2 2 0 1 0 2 , 3 1 3 1 1 0 3 3 1 0 2 0 0 1 0 2 2 2 -> 3 0 2 3 1 0 3 0 2 1 3 0 1 0 1 1 2 2 , 3 3 0 2 0 3 1 0 2 2 2 2 3 2 1 3 3 3 -> 3 1 3 2 2 2 0 3 3 0 1 2 3 0 2 3 2 3 , 3 3 2 0 3 1 3 0 3 2 0 1 0 3 0 1 1 0 -> 3 3 3 1 0 3 0 3 0 2 0 0 2 3 0 1 1 1 , 3 3 2 1 1 1 3 3 3 2 3 0 2 2 2 1 2 0 -> 3 3 3 2 1 3 2 3 0 1 1 2 3 0 1 2 2 2 , 0 2 1 3 ->= 0 2 1 3 } 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, 1]->2, [1, 2]->3, [2, 3]->4, [3, 1]->5, [2, 0]->6, [1, 0]->7, [3, 0]->8, [0, 3]->9, [3, 2]->10, [1, 3]->11, [2, 2]->12, [0, 2]->13, [2, 1]->14, [3, 3]->15 }, it remains to prove termination of the 1296-rule system { 0 0 1 2 3 4 5 2 2 3 6 1 2 7 1 2 7 0 0 -> 0 1 2 2 2 3 4 8 0 1 3 6 1 2 2 2 7 0 0 , 0 0 9 10 6 1 2 7 1 11 10 12 6 13 14 2 7 13 6 -> 0 1 3 12 4 8 0 0 13 6 1 11 10 14 2 7 1 3 6 , 0 13 6 1 3 12 6 0 13 6 9 10 12 6 1 3 14 11 8 -> 0 13 14 7 0 1 3 12 6 13 12 12 6 13 4 8 1 11 8 , 0 13 6 9 5 7 0 0 9 15 8 1 2 2 2 3 12 12 6 -> 0 0 13 12 4 8 9 8 0 1 2 2 7 1 2 3 4 10 6 , 0 13 12 12 12 4 10 12 6 13 4 10 6 1 11 15 15 5 7 -> 0 1 7 13 4 10 12 4 10 6 13 4 5 3 4 10 12 4 8 , 0 13 14 11 5 3 6 13 14 2 7 0 13 6 9 10 6 13 6 -> 0 1 3 12 12 6 1 2 7 0 13 12 6 9 8 13 4 5 7 , 0 1 3 6 9 8 9 8 9 5 7 13 6 13 14 2 3 12 6 -> 0 1 11 8 9 5 2 3 14 3 12 6 0 9 8 0 13 12 6 , 0 1 11 8 13 14 11 5 7 9 10 6 0 0 9 15 8 9 8 -> 0 1 3 4 8 0 9 15 8 13 6 1 2 11 15 8 0 9 8 , 0 9 8 13 6 9 8 13 12 12 14 7 0 0 9 5 3 6 0 -> 0 0 1 2 3 4 8 0 13 4 8 13 6 13 6 0 13 4 8 , 0 9 10 12 14 11 8 9 8 13 6 13 14 2 3 6 1 2 7 -> 0 0 13 4 8 0 1 2 2 11 5 3 12 12 12 6 9 5 7 , 0 9 5 7 9 10 6 13 6 9 8 9 8 0 9 8 0 0 0 -> 0 9 8 0 0 0 13 14 7 9 15 8 0 9 8 13 4 8 0 , 13 6 0 0 13 14 11 15 5 2 3 6 1 11 15 5 7 9 8 -> 9 8 1 3 12 4 15 10 6 0 1 7 1 2 11 5 7 9 8 , 13 6 13 6 1 7 1 11 10 12 14 2 7 0 9 8 9 5 7 -> 0 0 0 13 12 4 10 4 5 7 0 1 2 3 4 8 1 2 7 , 13 6 13 4 5 2 11 5 7 0 13 6 9 5 11 5 11 15 8 -> 13 4 15 10 14 2 7 9 8 0 13 4 8 1 2 11 5 11 8 , 13 6 1 11 10 14 11 10 14 11 5 11 5 3 14 2 2 2 7 -> 1 11 5 2 11 8 1 3 4 5 2 3 12 12 4 5 2 2 7 , 13 6 1 11 15 15 10 6 1 7 13 14 2 11 5 3 6 13 6 -> 1 11 5 3 6 13 4 10 4 8 1 11 8 1 7 13 14 3 6 , 13 6 9 8 9 10 6 9 15 10 14 3 4 5 7 1 3 6 0 -> 1 2 3 4 8 0 13 4 10 6 1 7 0 9 15 15 10 12 6 , 13 6 9 15 10 6 9 15 15 10 12 4 5 7 0 13 4 10 6 -> 13 4 15 8 13 4 15 8 13 4 15 8 13 4 5 3 6 13 6 , 13 12 6 0 13 14 3 14 2 7 9 10 14 11 5 7 0 9 8 -> 13 14 2 7 1 3 6 1 3 6 0 1 11 8 13 12 4 15 8 , 13 12 6 9 10 6 1 11 10 12 6 9 15 8 9 10 12 12 6 -> 13 12 4 10 4 5 11 8 13 6 9 8 13 4 10 6 13 12 6 , 13 12 6 9 10 6 9 15 15 10 12 14 2 2 2 7 13 14 7 -> 1 3 12 6 0 13 12 14 11 15 15 8 13 14 11 5 3 14 7 , 13 12 12 12 6 13 4 5 3 12 14 2 7 1 2 11 8 1 7 -> 13 12 12 14 11 8 1 2 3 12 12 14 11 8 13 14 7 1 7 , 13 12 12 14 3 12 12 14 3 4 10 6 13 14 3 14 11 10 6 -> 13 12 12 12 12 12 4 8 1 2 3 12 12 14 11 10 14 3 6 , 13 12 12 4 10 4 10 6 9 5 3 4 5 3 6 9 8 9 8 -> 13 14 2 11 8 13 4 10 12 4 8 0 13 4 10 12 4 15 8 , 13 12 4 5 7 1 11 10 6 13 6 1 11 15 5 2 7 0 0 -> 1 7 1 11 5 7 1 7 13 14 3 4 8 13 4 8 13 4 8 , 13 12 4 15 5 3 4 15 5 7 13 4 15 15 8 9 5 3 6 -> 13 4 10 4 8 9 15 15 10 4 15 5 11 10 14 7 1 3 6 , 13 14 7 0 1 3 4 5 2 11 5 2 7 9 5 11 5 2 7 -> 13 14 7 9 5 2 2 2 11 8 0 1 2 2 11 10 4 5 7 , 13 14 7 13 14 3 6 1 7 0 9 10 6 1 7 9 5 2 7 -> 13 12 6 0 0 1 3 6 1 7 9 5 2 3 6 1 11 5 7 , 13 14 7 1 7 0 0 9 8 13 6 13 12 6 9 10 6 9 8 -> 13 4 8 9 10 12 6 13 12 6 0 0 1 2 11 8 0 0 0 , 13 14 3 6 9 10 4 15 5 2 2 2 7 0 9 10 6 13 6 -> 9 10 14 7 13 4 5 11 5 2 7 0 0 1 11 10 12 12 6 , 13 14 3 14 3 14 7 13 6 13 4 10 6 0 0 13 4 15 8 -> 13 12 14 2 3 6 13 4 8 13 12 4 8 1 3 4 8 0 0 , 13 14 3 4 5 11 15 10 12 12 6 13 6 0 9 5 7 9 8 -> 13 4 15 5 11 8 1 3 4 10 12 4 10 14 3 6 0 0 0 , 13 14 11 8 9 5 7 1 7 1 7 9 5 7 1 2 7 0 0 -> 13 14 2 2 7 9 15 8 0 1 7 0 0 1 2 2 11 8 0 , 13 14 11 10 12 6 0 9 15 8 1 3 4 15 8 9 5 11 8 -> 9 10 4 8 1 11 15 10 4 8 1 3 14 7 0 13 4 15 8 , 13 14 11 15 10 14 2 2 3 6 13 14 7 13 4 5 7 13 6 -> 9 15 8 0 1 7 1 2 3 12 12 4 10 14 2 3 14 3 6 , 13 14 11 15 5 3 6 9 5 2 3 6 9 10 6 0 0 0 0 -> 0 9 8 13 14 3 4 8 13 6 1 3 14 11 15 8 1 7 0 , 13 4 10 12 6 13 14 3 12 12 6 9 10 12 6 1 11 10 6 -> 13 12 4 5 3 4 10 12 6 0 13 4 5 3 6 13 12 12 6 , 13 4 10 4 5 7 13 4 10 12 4 5 11 15 15 15 8 13 6 -> 13 4 15 15 10 14 11 10 4 8 1 3 12 4 8 9 15 10 6 , 13 4 5 2 3 6 13 14 3 6 9 10 6 9 5 11 8 9 8 -> 9 10 4 5 3 12 6 0 1 7 0 9 10 4 5 2 3 4 8 , 13 4 15 8 0 9 15 10 6 0 1 11 15 10 4 5 11 10 6 -> 13 4 8 0 13 4 8 13 4 15 5 2 11 15 15 15 8 13 6 , 13 4 15 8 13 12 4 5 2 3 12 6 9 10 14 3 6 0 0 -> 13 4 10 12 6 0 13 12 14 3 4 8 1 11 10 6 1 11 8 , 13 4 15 5 2 3 6 9 5 3 12 12 14 11 10 6 13 6 0 -> 1 7 13 14 3 14 3 4 10 12 4 8 9 5 3 4 8 13 6 , 1 7 0 9 10 14 11 5 7 1 11 8 13 14 2 7 0 1 7 -> 1 7 1 11 10 4 8 0 9 5 7 13 6 1 7 1 2 2 7 , 1 7 13 6 1 2 2 2 7 9 5 11 10 14 11 8 9 5 7 -> 1 7 1 7 1 2 11 8 9 15 10 4 8 13 14 2 2 2 7 , 1 7 13 4 15 15 15 15 10 12 4 5 7 13 6 0 13 6 0 -> 13 4 8 1 3 12 4 8 1 11 8 0 9 10 4 15 10 6 0 , 1 7 9 8 9 5 11 5 3 6 13 14 2 7 0 0 13 14 7 -> 0 1 2 3 14 7 13 14 7 9 8 0 1 3 4 8 9 5 7 , 1 3 6 13 12 4 15 8 13 6 13 14 11 15 8 9 5 2 7 -> 0 9 15 10 4 15 8 1 3 12 4 10 6 1 3 14 7 1 7 , 1 3 12 12 6 1 2 2 3 6 1 7 0 1 2 2 2 3 6 -> 1 2 2 2 3 12 14 7 13 6 0 0 1 3 14 2 2 3 6 , 1 3 14 2 2 7 1 3 14 11 8 0 9 10 14 2 3 4 8 -> 0 1 7 1 3 4 5 2 3 4 5 2 3 4 8 1 3 14 7 , 1 3 14 2 2 3 4 5 7 0 1 11 5 11 15 15 8 9 8 -> 1 11 15 10 4 5 7 9 5 3 4 8 1 2 2 2 11 8 0 , 1 3 14 2 11 5 11 8 13 4 5 3 12 4 15 5 2 2 7 -> 1 3 12 12 4 5 11 5 2 11 8 1 11 5 3 4 5 2 7 , 1 3 14 11 15 15 8 1 7 0 1 2 3 6 1 7 1 7 0 -> 0 9 8 1 2 2 3 4 8 0 13 4 8 0 1 2 2 2 7 , 1 3 4 15 15 10 14 3 14 3 6 0 9 10 4 5 7 0 0 -> 1 3 4 8 13 4 10 6 1 2 7 0 13 4 10 4 5 11 8 , 1 2 7 0 1 3 12 14 3 14 7 13 14 2 2 2 2 2 7 -> 1 2 2 2 3 12 6 1 3 12 14 2 7 1 7 1 2 2 7 , 1 2 7 9 10 14 7 9 10 14 3 4 8 13 6 9 8 0 0 -> 1 11 5 2 3 4 8 9 8 13 4 8 0 0 13 12 14 7 0 , 1 2 3 6 13 14 7 0 9 8 1 3 12 14 3 14 3 14 7 -> 1 2 3 6 9 5 3 12 12 6 0 1 7 13 14 2 3 14 7 , 1 2 3 12 14 11 10 14 3 4 10 6 1 2 7 9 10 12 6 -> 1 2 3 14 11 10 12 4 10 14 2 3 6 0 1 3 4 10 6 , 1 2 3 12 4 10 6 0 13 14 11 5 11 10 6 13 12 6 0 -> 0 13 14 2 11 10 6 1 3 4 5 3 12 4 8 13 12 6 0 , 1 2 3 14 11 5 7 1 7 9 10 6 13 12 6 13 4 15 8 -> 1 2 7 13 14 7 13 14 11 10 6 1 7 13 4 10 4 15 8 , 1 2 2 2 3 12 6 13 12 14 2 7 0 13 14 2 3 12 6 -> 0 1 3 14 7 1 7 1 2 3 14 2 2 3 12 12 12 12 6 , 1 2 11 10 14 11 8 9 10 12 12 6 13 12 6 13 4 10 6 -> 1 11 10 12 14 7 13 4 10 12 6 13 12 4 10 4 8 1 7 , 1 2 11 15 10 4 10 12 6 13 14 2 7 9 5 7 9 15 8 -> 1 2 11 10 4 5 3 4 15 10 6 0 1 11 15 10 6 1 7 , 1 11 8 1 7 9 5 7 1 11 5 3 14 2 2 11 8 9 8 -> 1 11 5 11 15 8 0 1 2 2 3 4 5 7 1 11 5 7 0 , 1 11 10 6 13 6 13 14 3 6 9 10 6 9 10 14 2 11 8 -> 1 3 14 3 12 6 13 6 1 11 8 0 9 15 15 10 12 14 7 , 1 11 10 6 1 11 10 6 0 13 6 13 6 13 14 2 3 6 0 -> 1 7 9 10 6 13 6 13 14 7 1 2 3 4 8 0 13 12 6 , 1 11 10 12 6 9 10 14 3 6 13 4 5 7 13 14 3 12 6 -> 1 11 5 7 13 12 12 4 5 3 12 4 8 0 13 12 14 3 6 , 1 11 5 3 6 0 0 1 11 5 11 8 9 8 1 3 12 14 7 -> 1 2 11 8 9 8 1 3 6 1 2 7 13 4 10 4 8 1 7 , 1 11 5 2 2 11 8 9 10 6 9 5 3 12 14 7 1 11 8 -> 1 2 3 12 6 13 14 11 15 8 9 15 5 2 2 7 1 11 8 , 1 11 15 5 11 10 6 13 12 12 4 10 6 13 6 9 5 7 0 -> 1 3 6 0 13 14 11 10 12 4 15 15 10 12 4 5 7 0 0 , 9 8 13 6 13 14 11 15 10 14 11 5 3 12 12 4 15 8 0 -> 9 8 13 14 3 4 15 10 4 8 13 4 10 14 7 13 4 5 7 , 9 8 9 10 6 13 6 9 15 10 6 9 5 11 15 5 7 9 8 -> 13 4 8 1 7 0 9 15 5 3 4 8 9 15 10 4 15 8 0 , 9 10 6 0 9 8 9 5 11 5 11 8 13 6 13 12 14 11 8 -> 9 8 13 4 5 11 15 10 12 6 1 7 0 9 10 4 8 1 7 , 9 10 12 6 9 8 13 12 4 5 3 14 11 15 10 4 15 10 6 -> 9 10 4 5 3 12 12 4 15 8 9 5 3 4 8 13 4 10 6 , 9 10 14 7 9 5 2 11 5 7 9 15 5 11 15 10 12 4 8 -> 9 5 2 11 10 4 15 5 3 4 15 8 1 7 1 11 10 4 8 , 9 10 14 11 5 7 1 11 10 12 12 4 15 5 7 0 0 9 8 -> 9 10 4 5 3 4 8 1 3 6 0 1 11 10 14 11 15 8 0 , 9 5 7 13 14 3 6 9 15 15 15 10 14 3 12 6 13 6 0 -> 9 8 0 1 3 4 5 11 15 10 12 4 10 12 6 1 7 13 6 , 9 5 11 5 2 7 9 15 5 7 13 6 0 1 7 13 12 12 6 -> 9 8 13 4 5 7 9 8 13 14 11 8 1 7 1 2 3 12 6 , 9 15 8 13 6 9 5 7 13 12 12 12 4 10 14 11 15 15 8 -> 9 5 11 10 12 12 6 9 15 8 1 3 4 8 13 4 10 4 8 , 9 15 10 6 9 5 11 8 9 10 6 1 7 9 8 1 2 7 0 -> 9 15 15 5 7 9 8 9 8 13 6 0 13 4 8 1 2 2 7 , 9 15 10 14 2 2 11 15 15 10 4 8 13 12 12 14 3 6 0 -> 9 15 15 10 14 11 10 4 8 1 2 3 4 8 1 3 12 12 6 , 0 13 14 11 8 ->= 0 13 14 11 8 , 0 0 1 2 3 4 5 2 2 3 6 1 2 7 1 2 7 0 1 -> 0 1 2 2 2 3 4 8 0 1 3 6 1 2 2 2 7 0 1 , 0 0 9 10 6 1 2 7 1 11 10 12 6 13 14 2 7 13 14 -> 0 1 3 12 4 8 0 0 13 6 1 11 10 14 2 7 1 3 14 , 0 13 6 1 3 12 6 0 13 6 9 10 12 6 1 3 14 11 5 -> 0 13 14 7 0 1 3 12 6 13 12 12 6 13 4 8 1 11 5 , 0 13 6 9 5 7 0 0 9 15 8 1 2 2 2 3 12 12 14 -> 0 0 13 12 4 8 9 8 0 1 2 2 7 1 2 3 4 10 14 , 0 13 12 12 12 4 10 12 6 13 4 10 6 1 11 15 15 5 2 -> 0 1 7 13 4 10 12 4 10 6 13 4 5 3 4 10 12 4 5 , 0 13 14 11 5 3 6 13 14 2 7 0 13 6 9 10 6 13 14 -> 0 1 3 12 12 6 1 2 7 0 13 12 6 9 8 13 4 5 2 , 0 1 3 6 9 8 9 8 9 5 7 13 6 13 14 2 3 12 14 -> 0 1 11 8 9 5 2 3 14 3 12 6 0 9 8 0 13 12 14 , 0 1 11 8 13 14 11 5 7 9 10 6 0 0 9 15 8 9 5 -> 0 1 3 4 8 0 9 15 8 13 6 1 2 11 15 8 0 9 5 , 0 9 8 13 6 9 8 13 12 12 14 7 0 0 9 5 3 6 1 -> 0 0 1 2 3 4 8 0 13 4 8 13 6 13 6 0 13 4 5 , 0 9 10 12 14 11 8 9 8 13 6 13 14 2 3 6 1 2 2 -> 0 0 13 4 8 0 1 2 2 11 5 3 12 12 12 6 9 5 2 , 0 9 5 7 9 10 6 13 6 9 8 9 8 0 9 8 0 0 1 -> 0 9 8 0 0 0 13 14 7 9 15 8 0 9 8 13 4 8 1 , 13 6 0 0 13 14 11 15 5 2 3 6 1 11 15 5 7 9 5 -> 9 8 1 3 12 4 15 10 6 0 1 7 1 2 11 5 7 9 5 , 13 6 13 6 1 7 1 11 10 12 14 2 7 0 9 8 9 5 2 -> 0 0 0 13 12 4 10 4 5 7 0 1 2 3 4 8 1 2 2 , 13 6 13 4 5 2 11 5 7 0 13 6 9 5 11 5 11 15 5 -> 13 4 15 10 14 2 7 9 8 0 13 4 8 1 2 11 5 11 5 , 13 6 1 11 10 14 11 10 14 11 5 11 5 3 14 2 2 2 2 -> 1 11 5 2 11 8 1 3 4 5 2 3 12 12 4 5 2 2 2 , 13 6 1 11 15 15 10 6 1 7 13 14 2 11 5 3 6 13 14 -> 1 11 5 3 6 13 4 10 4 8 1 11 8 1 7 13 14 3 14 , 13 6 9 8 9 10 6 9 15 10 14 3 4 5 7 1 3 6 1 -> 1 2 3 4 8 0 13 4 10 6 1 7 0 9 15 15 10 12 14 , 13 6 9 15 10 6 9 15 15 10 12 4 5 7 0 13 4 10 14 -> 13 4 15 8 13 4 15 8 13 4 15 8 13 4 5 3 6 13 14 , 13 12 6 0 13 14 3 14 2 7 9 10 14 11 5 7 0 9 5 -> 13 14 2 7 1 3 6 1 3 6 0 1 11 8 13 12 4 15 5 , 13 12 6 9 10 6 1 11 10 12 6 9 15 8 9 10 12 12 14 -> 13 12 4 10 4 5 11 8 13 6 9 8 13 4 10 6 13 12 14 , 13 12 6 9 10 6 9 15 15 10 12 14 2 2 2 7 13 14 2 -> 1 3 12 6 0 13 12 14 11 15 15 8 13 14 11 5 3 14 2 , 13 12 12 12 6 13 4 5 3 12 14 2 7 1 2 11 8 1 2 -> 13 12 12 14 11 8 1 2 3 12 12 14 11 8 13 14 7 1 2 , 13 12 12 14 3 12 12 14 3 4 10 6 13 14 3 14 11 10 14 -> 13 12 12 12 12 12 4 8 1 2 3 12 12 14 11 10 14 3 14 , 13 12 12 4 10 4 10 6 9 5 3 4 5 3 6 9 8 9 5 -> 13 14 2 11 8 13 4 10 12 4 8 0 13 4 10 12 4 15 5 , 13 12 4 5 7 1 11 10 6 13 6 1 11 15 5 2 7 0 1 -> 1 7 1 11 5 7 1 7 13 14 3 4 8 13 4 8 13 4 5 , 13 12 4 15 5 3 4 15 5 7 13 4 15 15 8 9 5 3 14 -> 13 4 10 4 8 9 15 15 10 4 15 5 11 10 14 7 1 3 14 , 13 14 7 0 1 3 4 5 2 11 5 2 7 9 5 11 5 2 2 -> 13 14 7 9 5 2 2 2 11 8 0 1 2 2 11 10 4 5 2 , 13 14 7 13 14 3 6 1 7 0 9 10 6 1 7 9 5 2 2 -> 13 12 6 0 0 1 3 6 1 7 9 5 2 3 6 1 11 5 2 , 13 14 7 1 7 0 0 9 8 13 6 13 12 6 9 10 6 9 5 -> 13 4 8 9 10 12 6 13 12 6 0 0 1 2 11 8 0 0 1 , 13 14 3 6 9 10 4 15 5 2 2 2 7 0 9 10 6 13 14 -> 9 10 14 7 13 4 5 11 5 2 7 0 0 1 11 10 12 12 14 , 13 14 3 14 3 14 7 13 6 13 4 10 6 0 0 13 4 15 5 -> 13 12 14 2 3 6 13 4 8 13 12 4 8 1 3 4 8 0 1 , 13 14 3 4 5 11 15 10 12 12 6 13 6 0 9 5 7 9 5 -> 13 4 15 5 11 8 1 3 4 10 12 4 10 14 3 6 0 0 1 , 13 14 11 8 9 5 7 1 7 1 7 9 5 7 1 2 7 0 1 -> 13 14 2 2 7 9 15 8 0 1 7 0 0 1 2 2 11 8 1 , 13 14 11 10 12 6 0 9 15 8 1 3 4 15 8 9 5 11 5 -> 9 10 4 8 1 11 15 10 4 8 1 3 14 7 0 13 4 15 5 , 13 14 11 15 10 14 2 2 3 6 13 14 7 13 4 5 7 13 14 -> 9 15 8 0 1 7 1 2 3 12 12 4 10 14 2 3 14 3 14 , 13 14 11 15 5 3 6 9 5 2 3 6 9 10 6 0 0 0 1 -> 0 9 8 13 14 3 4 8 13 6 1 3 14 11 15 8 1 7 1 , 13 4 10 12 6 13 14 3 12 12 6 9 10 12 6 1 11 10 14 -> 13 12 4 5 3 4 10 12 6 0 13 4 5 3 6 13 12 12 14 , 13 4 10 4 5 7 13 4 10 12 4 5 11 15 15 15 8 13 14 -> 13 4 15 15 10 14 11 10 4 8 1 3 12 4 8 9 15 10 14 , 13 4 5 2 3 6 13 14 3 6 9 10 6 9 5 11 8 9 5 -> 9 10 4 5 3 12 6 0 1 7 0 9 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11 10 12 12 4 15 5 7 0 0 9 10 -> 9 10 4 5 3 4 8 1 3 6 0 1 11 10 14 11 15 8 13 , 9 5 7 13 14 3 6 9 15 15 15 10 14 3 12 6 13 6 13 -> 9 8 0 1 3 4 5 11 15 10 12 4 10 12 6 1 7 13 12 , 9 5 11 5 2 7 9 15 5 7 13 6 0 1 7 13 12 12 12 -> 9 8 13 4 5 7 9 8 13 14 11 8 1 7 1 2 3 12 12 , 9 15 8 13 6 9 5 7 13 12 12 12 4 10 14 11 15 15 10 -> 9 5 11 10 12 12 6 9 15 8 1 3 4 8 13 4 10 4 10 , 9 15 10 6 9 5 11 8 9 10 6 1 7 9 8 1 2 7 13 -> 9 15 15 5 7 9 8 9 8 13 6 0 13 4 8 1 2 2 3 , 9 15 10 14 2 2 11 15 15 10 4 8 13 12 12 14 3 6 13 -> 9 15 15 10 14 11 10 4 8 1 2 3 4 8 1 3 12 12 12 , 0 13 14 11 10 ->= 0 13 14 11 10 , 0 0 1 2 3 4 5 2 2 3 6 1 2 7 1 2 7 0 9 -> 0 1 2 2 2 3 4 8 0 1 3 6 1 2 2 2 7 0 9 , 0 0 9 10 6 1 2 7 1 11 10 12 6 13 14 2 7 13 4 -> 0 1 3 12 4 8 0 0 13 6 1 11 10 14 2 7 1 3 4 , 0 13 6 1 3 12 6 0 13 6 9 10 12 6 1 3 14 11 15 -> 0 13 14 7 0 1 3 12 6 13 12 12 6 13 4 8 1 11 15 , 0 13 6 9 5 7 0 0 9 15 8 1 2 2 2 3 12 12 4 -> 0 0 13 12 4 8 9 8 0 1 2 2 7 1 2 3 4 10 4 , 0 13 12 12 12 4 10 12 6 13 4 10 6 1 11 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11 15 15 10 6 1 7 13 14 2 11 5 3 6 13 4 -> 1 11 5 3 6 13 4 10 4 8 1 11 8 1 7 13 14 3 4 , 13 6 9 8 9 10 6 9 15 10 14 3 4 5 7 1 3 6 9 -> 1 2 3 4 8 0 13 4 10 6 1 7 0 9 15 15 10 12 4 , 13 6 9 15 10 6 9 15 15 10 12 4 5 7 0 13 4 10 4 -> 13 4 15 8 13 4 15 8 13 4 15 8 13 4 5 3 6 13 4 , 13 12 6 0 13 14 3 14 2 7 9 10 14 11 5 7 0 9 15 -> 13 14 2 7 1 3 6 1 3 6 0 1 11 8 13 12 4 15 15 , 13 12 6 9 10 6 1 11 10 12 6 9 15 8 9 10 12 12 4 -> 13 12 4 10 4 5 11 8 13 6 9 8 13 4 10 6 13 12 4 , 13 12 6 9 10 6 9 15 15 10 12 14 2 2 2 7 13 14 11 -> 1 3 12 6 0 13 12 14 11 15 15 8 13 14 11 5 3 14 11 , 13 12 12 12 6 13 4 5 3 12 14 2 7 1 2 11 8 1 11 -> 13 12 12 14 11 8 1 2 3 12 12 14 11 8 13 14 7 1 11 , 13 12 12 14 3 12 12 14 3 4 10 6 13 14 3 14 11 10 4 -> 13 12 12 12 12 12 4 8 1 2 3 12 12 14 11 10 14 3 4 , 13 12 12 4 10 4 10 6 9 5 3 4 5 3 6 9 8 9 15 -> 13 14 2 11 8 13 4 10 12 4 8 0 13 4 10 12 4 15 15 , 13 12 4 5 7 1 11 10 6 13 6 1 11 15 5 2 7 0 9 -> 1 7 1 11 5 7 1 7 13 14 3 4 8 13 4 8 13 4 15 , 13 12 4 15 5 3 4 15 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10 14 3 4 10 6 1 2 7 9 10 12 14 -> 2 2 3 14 11 10 12 4 10 14 2 3 6 0 1 3 4 10 14 , 2 2 3 12 4 10 6 0 13 14 11 5 11 10 6 13 12 6 1 -> 7 13 14 2 11 10 6 1 3 4 5 3 12 4 8 13 12 6 1 , 2 2 3 14 11 5 7 1 7 9 10 6 13 12 6 13 4 15 5 -> 2 2 7 13 14 7 13 14 11 10 6 1 7 13 4 10 4 15 5 , 2 2 2 2 3 12 6 13 12 14 2 7 0 13 14 2 3 12 14 -> 7 1 3 14 7 1 7 1 2 3 14 2 2 3 12 12 12 12 14 , 2 2 11 10 14 11 8 9 10 12 12 6 13 12 6 13 4 10 14 -> 2 11 10 12 14 7 13 4 10 12 6 13 12 4 10 4 8 1 2 , 2 2 11 15 10 4 10 12 6 13 14 2 7 9 5 7 9 15 5 -> 2 2 11 10 4 5 3 4 15 10 6 0 1 11 15 10 6 1 2 , 2 11 8 1 7 9 5 7 1 11 5 3 14 2 2 11 8 9 5 -> 2 11 5 11 15 8 0 1 2 2 3 4 5 7 1 11 5 7 1 , 2 11 10 6 13 6 13 14 3 6 9 10 6 9 10 14 2 11 5 -> 2 3 14 3 12 6 13 6 1 11 8 0 9 15 15 10 12 14 2 , 2 11 10 6 1 11 10 6 0 13 6 13 6 13 14 2 3 6 1 -> 2 7 9 10 6 13 6 13 14 7 1 2 3 4 8 0 13 12 14 , 2 11 10 12 6 9 10 14 3 6 13 4 5 7 13 14 3 12 14 -> 2 11 5 7 13 12 12 4 5 3 12 4 8 0 13 12 14 3 14 , 2 11 5 3 6 0 0 1 11 5 11 8 9 8 1 3 12 14 2 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8 1 7 1 2 3 12 14 , 11 15 8 13 6 9 5 7 13 12 12 12 4 10 14 11 15 15 5 -> 11 5 11 10 12 12 6 9 15 8 1 3 4 8 13 4 10 4 5 , 11 15 10 6 9 5 11 8 9 10 6 1 7 9 8 1 2 7 1 -> 11 15 15 5 7 9 8 9 8 13 6 0 13 4 8 1 2 2 2 , 11 15 10 14 2 2 11 15 15 10 4 8 13 12 12 14 3 6 1 -> 11 15 15 10 14 11 10 4 8 1 2 3 4 8 1 3 12 12 14 , 7 13 14 11 5 ->= 7 13 14 11 5 , 7 0 1 2 3 4 5 2 2 3 6 1 2 7 1 2 7 0 13 -> 7 1 2 2 2 3 4 8 0 1 3 6 1 2 2 2 7 0 13 , 7 0 9 10 6 1 2 7 1 11 10 12 6 13 14 2 7 13 12 -> 7 1 3 12 4 8 0 0 13 6 1 11 10 14 2 7 1 3 12 , 7 13 6 1 3 12 6 0 13 6 9 10 12 6 1 3 14 11 10 -> 7 13 14 7 0 1 3 12 6 13 12 12 6 13 4 8 1 11 10 , 7 13 6 9 5 7 0 0 9 15 8 1 2 2 2 3 12 12 12 -> 7 0 13 12 4 8 9 8 0 1 2 2 7 1 2 3 4 10 12 , 7 13 12 12 12 4 10 12 6 13 4 10 6 1 11 15 15 5 3 -> 7 1 7 13 4 10 12 4 10 6 13 4 5 3 4 10 12 4 10 , 7 13 14 11 5 3 6 13 14 2 7 0 13 6 9 10 6 13 12 -> 7 1 3 12 12 6 1 2 7 0 13 12 6 9 8 13 4 5 3 , 7 1 3 6 9 8 9 8 9 5 7 13 6 13 14 2 3 12 12 -> 7 1 11 8 9 5 2 3 14 3 12 6 0 9 8 0 13 12 12 , 7 1 11 8 13 14 11 5 7 9 10 6 0 0 9 15 8 9 10 -> 7 1 3 4 8 0 9 15 8 13 6 1 2 11 15 8 0 9 10 , 7 9 8 13 6 9 8 13 12 12 14 7 0 0 9 5 3 6 13 -> 7 0 1 2 3 4 8 0 13 4 8 13 6 13 6 0 13 4 10 , 7 9 10 12 14 11 8 9 8 13 6 13 14 2 3 6 1 2 3 -> 7 0 13 4 8 0 1 2 2 11 5 3 12 12 12 6 9 5 3 , 7 9 5 7 9 10 6 13 6 9 8 9 8 0 9 8 0 0 13 -> 7 9 8 0 0 0 13 14 7 9 15 8 0 9 8 13 4 8 13 , 3 6 0 0 13 14 11 15 5 2 3 6 1 11 15 5 7 9 10 -> 11 8 1 3 12 4 15 10 6 0 1 7 1 2 11 5 7 9 10 , 3 6 13 6 1 7 1 11 10 12 14 2 7 0 9 8 9 5 3 -> 7 0 0 13 12 4 10 4 5 7 0 1 2 3 4 8 1 2 3 , 3 6 13 4 5 2 11 5 7 0 13 6 9 5 11 5 11 15 10 -> 3 4 15 10 14 2 7 9 8 0 13 4 8 1 2 11 5 11 10 , 3 6 1 11 10 14 11 10 14 11 5 11 5 3 14 2 2 2 3 -> 2 11 5 2 11 8 1 3 4 5 2 3 12 12 4 5 2 2 3 , 3 6 1 11 15 15 10 6 1 7 13 14 2 11 5 3 6 13 12 -> 2 11 5 3 6 13 4 10 4 8 1 11 8 1 7 13 14 3 12 , 3 6 9 8 9 10 6 9 15 10 14 3 4 5 7 1 3 6 13 -> 2 2 3 4 8 0 13 4 10 6 1 7 0 9 15 15 10 12 12 , 3 6 9 15 10 6 9 15 15 10 12 4 5 7 0 13 4 10 12 -> 3 4 15 8 13 4 15 8 13 4 15 8 13 4 5 3 6 13 12 , 3 12 6 0 13 14 3 14 2 7 9 10 14 11 5 7 0 9 10 -> 3 14 2 7 1 3 6 1 3 6 0 1 11 8 13 12 4 15 10 , 3 12 6 9 10 6 1 11 10 12 6 9 15 8 9 10 12 12 12 -> 3 12 4 10 4 5 11 8 13 6 9 8 13 4 10 6 13 12 12 , 3 12 6 9 10 6 9 15 15 10 12 14 2 2 2 7 13 14 3 -> 2 3 12 6 0 13 12 14 11 15 15 8 13 14 11 5 3 14 3 , 3 12 12 12 6 13 4 5 3 12 14 2 7 1 2 11 8 1 3 -> 3 12 12 14 11 8 1 2 3 12 12 14 11 8 13 14 7 1 3 , 3 12 12 14 3 12 12 14 3 4 10 6 13 14 3 14 11 10 12 -> 3 12 12 12 12 12 4 8 1 2 3 12 12 14 11 10 14 3 12 , 3 12 12 4 10 4 10 6 9 5 3 4 5 3 6 9 8 9 10 -> 3 14 2 11 8 13 4 10 12 4 8 0 13 4 10 12 4 15 10 , 3 12 4 5 7 1 11 10 6 13 6 1 11 15 5 2 7 0 13 -> 2 7 1 11 5 7 1 7 13 14 3 4 8 13 4 8 13 4 10 , 3 12 4 15 5 3 4 15 5 7 13 4 15 15 8 9 5 3 12 -> 3 4 10 4 8 9 15 15 10 4 15 5 11 10 14 7 1 3 12 , 3 14 7 0 1 3 4 5 2 11 5 2 7 9 5 11 5 2 3 -> 3 14 7 9 5 2 2 2 11 8 0 1 2 2 11 10 4 5 3 , 3 14 7 13 14 3 6 1 7 0 9 10 6 1 7 9 5 2 3 -> 3 12 6 0 0 1 3 6 1 7 9 5 2 3 6 1 11 5 3 , 3 14 7 1 7 0 0 9 8 13 6 13 12 6 9 10 6 9 10 -> 3 4 8 9 10 12 6 13 12 6 0 0 1 2 11 8 0 0 13 , 3 14 3 6 9 10 4 15 5 2 2 2 7 0 9 10 6 13 12 -> 11 10 14 7 13 4 5 11 5 2 7 0 0 1 11 10 12 12 12 , 3 14 3 14 3 14 7 13 6 13 4 10 6 0 0 13 4 15 10 -> 3 12 14 2 3 6 13 4 8 13 12 4 8 1 3 4 8 0 13 , 3 14 3 4 5 11 15 10 12 12 6 13 6 0 9 5 7 9 10 -> 3 4 15 5 11 8 1 3 4 10 12 4 10 14 3 6 0 0 13 , 3 14 11 8 9 5 7 1 7 1 7 9 5 7 1 2 7 0 13 -> 3 14 2 2 7 9 15 8 0 1 7 0 0 1 2 2 11 8 13 , 3 14 11 10 12 6 0 9 15 8 1 3 4 15 8 9 5 11 10 -> 11 10 4 8 1 11 15 10 4 8 1 3 14 7 0 13 4 15 10 , 3 14 11 15 10 14 2 2 3 6 13 14 7 13 4 5 7 13 12 -> 11 15 8 0 1 7 1 2 3 12 12 4 10 14 2 3 14 3 12 , 3 14 11 15 5 3 6 9 5 2 3 6 9 10 6 0 0 0 13 -> 7 9 8 13 14 3 4 8 13 6 1 3 14 11 15 8 1 7 13 , 3 4 10 12 6 13 14 3 12 12 6 9 10 12 6 1 11 10 12 -> 3 12 4 5 3 4 10 12 6 0 13 4 5 3 6 13 12 12 12 , 3 4 10 4 5 7 13 4 10 12 4 5 11 15 15 15 8 13 12 -> 3 4 15 15 10 14 11 10 4 8 1 3 12 4 8 9 15 10 12 , 3 4 5 2 3 6 13 14 3 6 9 10 6 9 5 11 8 9 10 -> 11 10 4 5 3 12 6 0 1 7 0 9 10 4 5 2 3 4 10 , 3 4 15 8 0 9 15 10 6 0 1 11 15 10 4 5 11 10 12 -> 3 4 8 0 13 4 8 13 4 15 5 2 11 15 15 15 8 13 12 , 3 4 15 8 13 12 4 5 2 3 12 6 9 10 14 3 6 0 13 -> 3 4 10 12 6 0 13 12 14 3 4 8 1 11 10 6 1 11 10 , 3 4 15 5 2 3 6 9 5 3 12 12 14 11 10 6 13 6 13 -> 2 7 13 14 3 14 3 4 10 12 4 8 9 5 3 4 8 13 12 , 2 7 0 9 10 14 11 5 7 1 11 8 13 14 2 7 0 1 3 -> 2 7 1 11 10 4 8 0 9 5 7 13 6 1 7 1 2 2 3 , 2 7 13 6 1 2 2 2 7 9 5 11 10 14 11 8 9 5 3 -> 2 7 1 7 1 2 11 8 9 15 10 4 8 13 14 2 2 2 3 , 2 7 13 4 15 15 15 15 10 12 4 5 7 13 6 0 13 6 13 -> 3 4 8 1 3 12 4 8 1 11 8 0 9 10 4 15 10 6 13 , 2 7 9 8 9 5 11 5 3 6 13 14 2 7 0 0 13 14 3 -> 7 1 2 3 14 7 13 14 7 9 8 0 1 3 4 8 9 5 3 , 2 3 6 13 12 4 15 8 13 6 13 14 11 15 8 9 5 2 3 -> 7 9 15 10 4 15 8 1 3 12 4 10 6 1 3 14 7 1 3 , 2 3 12 12 6 1 2 2 3 6 1 7 0 1 2 2 2 3 12 -> 2 2 2 2 3 12 14 7 13 6 0 0 1 3 14 2 2 3 12 , 2 3 14 2 2 7 1 3 14 11 8 0 9 10 14 2 3 4 10 -> 7 1 7 1 3 4 5 2 3 4 5 2 3 4 8 1 3 14 3 , 2 3 14 2 2 3 4 5 7 0 1 11 5 11 15 15 8 9 10 -> 2 11 15 10 4 5 7 9 5 3 4 8 1 2 2 2 11 8 13 , 2 3 14 2 11 5 11 8 13 4 5 3 12 4 15 5 2 2 3 -> 2 3 12 12 4 5 11 5 2 11 8 1 11 5 3 4 5 2 3 , 2 3 14 11 15 15 8 1 7 0 1 2 3 6 1 7 1 7 13 -> 7 9 8 1 2 2 3 4 8 0 13 4 8 0 1 2 2 2 3 , 2 3 4 15 15 10 14 3 14 3 6 0 9 10 4 5 7 0 13 -> 2 3 4 8 13 4 10 6 1 2 7 0 13 4 10 4 5 11 10 , 2 2 7 0 1 3 12 14 3 14 7 13 14 2 2 2 2 2 3 -> 2 2 2 2 3 12 6 1 3 12 14 2 7 1 7 1 2 2 3 , 2 2 7 9 10 14 7 9 10 14 3 4 8 13 6 9 8 0 13 -> 2 11 5 2 3 4 8 9 8 13 4 8 0 0 13 12 14 7 13 , 2 2 3 6 13 14 7 0 9 8 1 3 12 14 3 14 3 14 3 -> 2 2 3 6 9 5 3 12 12 6 0 1 7 13 14 2 3 14 3 , 2 2 3 12 14 11 10 14 3 4 10 6 1 2 7 9 10 12 12 -> 2 2 3 14 11 10 12 4 10 14 2 3 6 0 1 3 4 10 12 , 2 2 3 12 4 10 6 0 13 14 11 5 11 10 6 13 12 6 13 -> 7 13 14 2 11 10 6 1 3 4 5 3 12 4 8 13 12 6 13 , 2 2 3 14 11 5 7 1 7 9 10 6 13 12 6 13 4 15 10 -> 2 2 7 13 14 7 13 14 11 10 6 1 7 13 4 10 4 15 10 , 2 2 2 2 3 12 6 13 12 14 2 7 0 13 14 2 3 12 12 -> 7 1 3 14 7 1 7 1 2 3 14 2 2 3 12 12 12 12 12 , 2 2 11 10 14 11 8 9 10 12 12 6 13 12 6 13 4 10 12 -> 2 11 10 12 14 7 13 4 10 12 6 13 12 4 10 4 8 1 3 , 2 2 11 15 10 4 10 12 6 13 14 2 7 9 5 7 9 15 10 -> 2 2 11 10 4 5 3 4 15 10 6 0 1 11 15 10 6 1 3 , 2 11 8 1 7 9 5 7 1 11 5 3 14 2 2 11 8 9 10 -> 2 11 5 11 15 8 0 1 2 2 3 4 5 7 1 11 5 7 13 , 2 11 10 6 13 6 13 14 3 6 9 10 6 9 10 14 2 11 10 -> 2 3 14 3 12 6 13 6 1 11 8 0 9 15 15 10 12 14 3 , 2 11 10 6 1 11 10 6 0 13 6 13 6 13 14 2 3 6 13 -> 2 7 9 10 6 13 6 13 14 7 1 2 3 4 8 0 13 12 12 , 2 11 10 12 6 9 10 14 3 6 13 4 5 7 13 14 3 12 12 -> 2 11 5 7 13 12 12 4 5 3 12 4 8 0 13 12 14 3 12 , 2 11 5 3 6 0 0 1 11 5 11 8 9 8 1 3 12 14 3 -> 2 2 11 8 9 8 1 3 6 1 2 7 13 4 10 4 8 1 3 , 2 11 5 2 2 11 8 9 10 6 9 5 3 12 14 7 1 11 10 -> 2 2 3 12 6 13 14 11 15 8 9 15 5 2 2 7 1 11 10 , 2 11 15 5 11 10 6 13 12 12 4 10 6 13 6 9 5 7 13 -> 2 3 6 0 13 14 11 10 12 4 15 15 10 12 4 5 7 0 13 , 11 8 13 6 13 14 11 15 10 14 11 5 3 12 12 4 15 8 13 -> 11 8 13 14 3 4 15 10 4 8 13 4 10 14 7 13 4 5 3 , 11 8 9 10 6 13 6 9 15 10 6 9 5 11 15 5 7 9 10 -> 3 4 8 1 7 0 9 15 5 3 4 8 9 15 10 4 15 8 13 , 11 10 6 0 9 8 9 5 11 5 11 8 13 6 13 12 14 11 10 -> 11 8 13 4 5 11 15 10 12 6 1 7 0 9 10 4 8 1 3 , 11 10 12 6 9 8 13 12 4 5 3 14 11 15 10 4 15 10 12 -> 11 10 4 5 3 12 12 4 15 8 9 5 3 4 8 13 4 10 12 , 11 10 14 7 9 5 2 11 5 7 9 15 5 11 15 10 12 4 10 -> 11 5 2 11 10 4 15 5 3 4 15 8 1 7 1 11 10 4 10 , 11 10 14 11 5 7 1 11 10 12 12 4 15 5 7 0 0 9 10 -> 11 10 4 5 3 4 8 1 3 6 0 1 11 10 14 11 15 8 13 , 11 5 7 13 14 3 6 9 15 15 15 10 14 3 12 6 13 6 13 -> 11 8 0 1 3 4 5 11 15 10 12 4 10 12 6 1 7 13 12 , 11 5 11 5 2 7 9 15 5 7 13 6 0 1 7 13 12 12 12 -> 11 8 13 4 5 7 9 8 13 14 11 8 1 7 1 2 3 12 12 , 11 15 8 13 6 9 5 7 13 12 12 12 4 10 14 11 15 15 10 -> 11 5 11 10 12 12 6 9 15 8 1 3 4 8 13 4 10 4 10 , 11 15 10 6 9 5 11 8 9 10 6 1 7 9 8 1 2 7 13 -> 11 15 15 5 7 9 8 9 8 13 6 0 13 4 8 1 2 2 3 , 11 15 10 14 2 2 11 15 15 10 4 8 13 12 12 14 3 6 13 -> 11 15 15 10 14 11 10 4 8 1 2 3 4 8 1 3 12 12 12 , 7 13 14 11 10 ->= 7 13 14 11 10 , 7 0 1 2 3 4 5 2 2 3 6 1 2 7 1 2 7 0 9 -> 7 1 2 2 2 3 4 8 0 1 3 6 1 2 2 2 7 0 9 , 7 0 9 10 6 1 2 7 1 11 10 12 6 13 14 2 7 13 4 -> 7 1 3 12 4 8 0 0 13 6 1 11 10 14 2 7 1 3 4 , 7 13 6 1 3 12 6 0 13 6 9 10 12 6 1 3 14 11 15 -> 7 13 14 7 0 1 3 12 6 13 12 12 6 13 4 8 1 11 15 , 7 13 6 9 5 7 0 0 9 15 8 1 2 2 2 3 12 12 4 -> 7 0 13 12 4 8 9 8 0 1 2 2 7 1 2 3 4 10 4 , 7 13 12 12 12 4 10 12 6 13 4 10 6 1 11 15 15 5 11 -> 7 1 7 13 4 10 12 4 10 6 13 4 5 3 4 10 12 4 15 , 7 13 14 11 5 3 6 13 14 2 7 0 13 6 9 10 6 13 4 -> 7 1 3 12 12 6 1 2 7 0 13 12 6 9 8 13 4 5 11 , 7 1 3 6 9 8 9 8 9 5 7 13 6 13 14 2 3 12 4 -> 7 1 11 8 9 5 2 3 14 3 12 6 0 9 8 0 13 12 4 , 7 1 11 8 13 14 11 5 7 9 10 6 0 0 9 15 8 9 15 -> 7 1 3 4 8 0 9 15 8 13 6 1 2 11 15 8 0 9 15 , 7 9 8 13 6 9 8 13 12 12 14 7 0 0 9 5 3 6 9 -> 7 0 1 2 3 4 8 0 13 4 8 13 6 13 6 0 13 4 15 , 7 9 10 12 14 11 8 9 8 13 6 13 14 2 3 6 1 2 11 -> 7 0 13 4 8 0 1 2 2 11 5 3 12 12 12 6 9 5 11 , 7 9 5 7 9 10 6 13 6 9 8 9 8 0 9 8 0 0 9 -> 7 9 8 0 0 0 13 14 7 9 15 8 0 9 8 13 4 8 9 , 3 6 0 0 13 14 11 15 5 2 3 6 1 11 15 5 7 9 15 -> 11 8 1 3 12 4 15 10 6 0 1 7 1 2 11 5 7 9 15 , 3 6 13 6 1 7 1 11 10 12 14 2 7 0 9 8 9 5 11 -> 7 0 0 13 12 4 10 4 5 7 0 1 2 3 4 8 1 2 11 , 3 6 13 4 5 2 11 5 7 0 13 6 9 5 11 5 11 15 15 -> 3 4 15 10 14 2 7 9 8 0 13 4 8 1 2 11 5 11 15 , 3 6 1 11 10 14 11 10 14 11 5 11 5 3 14 2 2 2 11 -> 2 11 5 2 11 8 1 3 4 5 2 3 12 12 4 5 2 2 11 , 3 6 1 11 15 15 10 6 1 7 13 14 2 11 5 3 6 13 4 -> 2 11 5 3 6 13 4 10 4 8 1 11 8 1 7 13 14 3 4 , 3 6 9 8 9 10 6 9 15 10 14 3 4 5 7 1 3 6 9 -> 2 2 3 4 8 0 13 4 10 6 1 7 0 9 15 15 10 12 4 , 3 6 9 15 10 6 9 15 15 10 12 4 5 7 0 13 4 10 4 -> 3 4 15 8 13 4 15 8 13 4 15 8 13 4 5 3 6 13 4 , 3 12 6 0 13 14 3 14 2 7 9 10 14 11 5 7 0 9 15 -> 3 14 2 7 1 3 6 1 3 6 0 1 11 8 13 12 4 15 15 , 3 12 6 9 10 6 1 11 10 12 6 9 15 8 9 10 12 12 4 -> 3 12 4 10 4 5 11 8 13 6 9 8 13 4 10 6 13 12 4 , 3 12 6 9 10 6 9 15 15 10 12 14 2 2 2 7 13 14 11 -> 2 3 12 6 0 13 12 14 11 15 15 8 13 14 11 5 3 14 11 , 3 12 12 12 6 13 4 5 3 12 14 2 7 1 2 11 8 1 11 -> 3 12 12 14 11 8 1 2 3 12 12 14 11 8 13 14 7 1 11 , 3 12 12 14 3 12 12 14 3 4 10 6 13 14 3 14 11 10 4 -> 3 12 12 12 12 12 4 8 1 2 3 12 12 14 11 10 14 3 4 , 3 12 12 4 10 4 10 6 9 5 3 4 5 3 6 9 8 9 15 -> 3 14 2 11 8 13 4 10 12 4 8 0 13 4 10 12 4 15 15 , 3 12 4 5 7 1 11 10 6 13 6 1 11 15 5 2 7 0 9 -> 2 7 1 11 5 7 1 7 13 14 3 4 8 13 4 8 13 4 15 , 3 12 4 15 5 3 4 15 5 7 13 4 15 15 8 9 5 3 4 -> 3 4 10 4 8 9 15 15 10 4 15 5 11 10 14 7 1 3 4 , 3 14 7 0 1 3 4 5 2 11 5 2 7 9 5 11 5 2 11 -> 3 14 7 9 5 2 2 2 11 8 0 1 2 2 11 10 4 5 11 , 3 14 7 13 14 3 6 1 7 0 9 10 6 1 7 9 5 2 11 -> 3 12 6 0 0 1 3 6 1 7 9 5 2 3 6 1 11 5 11 , 3 14 7 1 7 0 0 9 8 13 6 13 12 6 9 10 6 9 15 -> 3 4 8 9 10 12 6 13 12 6 0 0 1 2 11 8 0 0 9 , 3 14 3 6 9 10 4 15 5 2 2 2 7 0 9 10 6 13 4 -> 11 10 14 7 13 4 5 11 5 2 7 0 0 1 11 10 12 12 4 , 3 14 3 14 3 14 7 13 6 13 4 10 6 0 0 13 4 15 15 -> 3 12 14 2 3 6 13 4 8 13 12 4 8 1 3 4 8 0 9 , 3 14 3 4 5 11 15 10 12 12 6 13 6 0 9 5 7 9 15 -> 3 4 15 5 11 8 1 3 4 10 12 4 10 14 3 6 0 0 9 , 3 14 11 8 9 5 7 1 7 1 7 9 5 7 1 2 7 0 9 -> 3 14 2 2 7 9 15 8 0 1 7 0 0 1 2 2 11 8 9 , 3 14 11 10 12 6 0 9 15 8 1 3 4 15 8 9 5 11 15 -> 11 10 4 8 1 11 15 10 4 8 1 3 14 7 0 13 4 15 15 , 3 14 11 15 10 14 2 2 3 6 13 14 7 13 4 5 7 13 4 -> 11 15 8 0 1 7 1 2 3 12 12 4 10 14 2 3 14 3 4 , 3 14 11 15 5 3 6 9 5 2 3 6 9 10 6 0 0 0 9 -> 7 9 8 13 14 3 4 8 13 6 1 3 14 11 15 8 1 7 9 , 3 4 10 12 6 13 14 3 12 12 6 9 10 12 6 1 11 10 4 -> 3 12 4 5 3 4 10 12 6 0 13 4 5 3 6 13 12 12 4 , 3 4 10 4 5 7 13 4 10 12 4 5 11 15 15 15 8 13 4 -> 3 4 15 15 10 14 11 10 4 8 1 3 12 4 8 9 15 10 4 , 3 4 5 2 3 6 13 14 3 6 9 10 6 9 5 11 8 9 15 -> 11 10 4 5 3 12 6 0 1 7 0 9 10 4 5 2 3 4 15 , 3 4 15 8 0 9 15 10 6 0 1 11 15 10 4 5 11 10 4 -> 3 4 8 0 13 4 8 13 4 15 5 2 11 15 15 15 8 13 4 , 3 4 15 8 13 12 4 5 2 3 12 6 9 10 14 3 6 0 9 -> 3 4 10 12 6 0 13 12 14 3 4 8 1 11 10 6 1 11 15 , 3 4 15 5 2 3 6 9 5 3 12 12 14 11 10 6 13 6 9 -> 2 7 13 14 3 14 3 4 10 12 4 8 9 5 3 4 8 13 4 , 2 7 0 9 10 14 11 5 7 1 11 8 13 14 2 7 0 1 11 -> 2 7 1 11 10 4 8 0 9 5 7 13 6 1 7 1 2 2 11 , 2 7 13 6 1 2 2 2 7 9 5 11 10 14 11 8 9 5 11 -> 2 7 1 7 1 2 11 8 9 15 10 4 8 13 14 2 2 2 11 , 2 7 13 4 15 15 15 15 10 12 4 5 7 13 6 0 13 6 9 -> 3 4 8 1 3 12 4 8 1 11 8 0 9 10 4 15 10 6 9 , 2 7 9 8 9 5 11 5 3 6 13 14 2 7 0 0 13 14 11 -> 7 1 2 3 14 7 13 14 7 9 8 0 1 3 4 8 9 5 11 , 2 3 6 13 12 4 15 8 13 6 13 14 11 15 8 9 5 2 11 -> 7 9 15 10 4 15 8 1 3 12 4 10 6 1 3 14 7 1 11 , 2 3 12 12 6 1 2 2 3 6 1 7 0 1 2 2 2 3 4 -> 2 2 2 2 3 12 14 7 13 6 0 0 1 3 14 2 2 3 4 , 2 3 14 2 2 7 1 3 14 11 8 0 9 10 14 2 3 4 15 -> 7 1 7 1 3 4 5 2 3 4 5 2 3 4 8 1 3 14 11 , 2 3 14 2 2 3 4 5 7 0 1 11 5 11 15 15 8 9 15 -> 2 11 15 10 4 5 7 9 5 3 4 8 1 2 2 2 11 8 9 , 2 3 14 2 11 5 11 8 13 4 5 3 12 4 15 5 2 2 11 -> 2 3 12 12 4 5 11 5 2 11 8 1 11 5 3 4 5 2 11 , 2 3 14 11 15 15 8 1 7 0 1 2 3 6 1 7 1 7 9 -> 7 9 8 1 2 2 3 4 8 0 13 4 8 0 1 2 2 2 11 , 2 3 4 15 15 10 14 3 14 3 6 0 9 10 4 5 7 0 9 -> 2 3 4 8 13 4 10 6 1 2 7 0 13 4 10 4 5 11 15 , 2 2 7 0 1 3 12 14 3 14 7 13 14 2 2 2 2 2 11 -> 2 2 2 2 3 12 6 1 3 12 14 2 7 1 7 1 2 2 11 , 2 2 7 9 10 14 7 9 10 14 3 4 8 13 6 9 8 0 9 -> 2 11 5 2 3 4 8 9 8 13 4 8 0 0 13 12 14 7 9 , 2 2 3 6 13 14 7 0 9 8 1 3 12 14 3 14 3 14 11 -> 2 2 3 6 9 5 3 12 12 6 0 1 7 13 14 2 3 14 11 , 2 2 3 12 14 11 10 14 3 4 10 6 1 2 7 9 10 12 4 -> 2 2 3 14 11 10 12 4 10 14 2 3 6 0 1 3 4 10 4 , 2 2 3 12 4 10 6 0 13 14 11 5 11 10 6 13 12 6 9 -> 7 13 14 2 11 10 6 1 3 4 5 3 12 4 8 13 12 6 9 , 2 2 3 14 11 5 7 1 7 9 10 6 13 12 6 13 4 15 15 -> 2 2 7 13 14 7 13 14 11 10 6 1 7 13 4 10 4 15 15 , 2 2 2 2 3 12 6 13 12 14 2 7 0 13 14 2 3 12 4 -> 7 1 3 14 7 1 7 1 2 3 14 2 2 3 12 12 12 12 4 , 2 2 11 10 14 11 8 9 10 12 12 6 13 12 6 13 4 10 4 -> 2 11 10 12 14 7 13 4 10 12 6 13 12 4 10 4 8 1 11 , 2 2 11 15 10 4 10 12 6 13 14 2 7 9 5 7 9 15 15 -> 2 2 11 10 4 5 3 4 15 10 6 0 1 11 15 10 6 1 11 , 2 11 8 1 7 9 5 7 1 11 5 3 14 2 2 11 8 9 15 -> 2 11 5 11 15 8 0 1 2 2 3 4 5 7 1 11 5 7 9 , 2 11 10 6 13 6 13 14 3 6 9 10 6 9 10 14 2 11 15 -> 2 3 14 3 12 6 13 6 1 11 8 0 9 15 15 10 12 14 11 , 2 11 10 6 1 11 10 6 0 13 6 13 6 13 14 2 3 6 9 -> 2 7 9 10 6 13 6 13 14 7 1 2 3 4 8 0 13 12 4 , 2 11 10 12 6 9 10 14 3 6 13 4 5 7 13 14 3 12 4 -> 2 11 5 7 13 12 12 4 5 3 12 4 8 0 13 12 14 3 4 , 2 11 5 3 6 0 0 1 11 5 11 8 9 8 1 3 12 14 11 -> 2 2 11 8 9 8 1 3 6 1 2 7 13 4 10 4 8 1 11 , 2 11 5 2 2 11 8 9 10 6 9 5 3 12 14 7 1 11 15 -> 2 2 3 12 6 13 14 11 15 8 9 15 5 2 2 7 1 11 15 , 2 11 15 5 11 10 6 13 12 12 4 10 6 13 6 9 5 7 9 -> 2 3 6 0 13 14 11 10 12 4 15 15 10 12 4 5 7 0 9 , 11 8 13 6 13 14 11 15 10 14 11 5 3 12 12 4 15 8 9 -> 11 8 13 14 3 4 15 10 4 8 13 4 10 14 7 13 4 5 11 , 11 8 9 10 6 13 6 9 15 10 6 9 5 11 15 5 7 9 15 -> 3 4 8 1 7 0 9 15 5 3 4 8 9 15 10 4 15 8 9 , 11 10 6 0 9 8 9 5 11 5 11 8 13 6 13 12 14 11 15 -> 11 8 13 4 5 11 15 10 12 6 1 7 0 9 10 4 8 1 11 , 11 10 12 6 9 8 13 12 4 5 3 14 11 15 10 4 15 10 4 -> 11 10 4 5 3 12 12 4 15 8 9 5 3 4 8 13 4 10 4 , 11 10 14 7 9 5 2 11 5 7 9 15 5 11 15 10 12 4 15 -> 11 5 2 11 10 4 15 5 3 4 15 8 1 7 1 11 10 4 15 , 11 10 14 11 5 7 1 11 10 12 12 4 15 5 7 0 0 9 15 -> 11 10 4 5 3 4 8 1 3 6 0 1 11 10 14 11 15 8 9 , 11 5 7 13 14 3 6 9 15 15 15 10 14 3 12 6 13 6 9 -> 11 8 0 1 3 4 5 11 15 10 12 4 10 12 6 1 7 13 4 , 11 5 11 5 2 7 9 15 5 7 13 6 0 1 7 13 12 12 4 -> 11 8 13 4 5 7 9 8 13 14 11 8 1 7 1 2 3 12 4 , 11 15 8 13 6 9 5 7 13 12 12 12 4 10 14 11 15 15 15 -> 11 5 11 10 12 12 6 9 15 8 1 3 4 8 13 4 10 4 15 , 11 15 10 6 9 5 11 8 9 10 6 1 7 9 8 1 2 7 9 -> 11 15 15 5 7 9 8 9 8 13 6 0 13 4 8 1 2 2 11 , 11 15 10 14 2 2 11 15 15 10 4 8 13 12 12 14 3 6 9 -> 11 15 15 10 14 11 10 4 8 1 2 3 4 8 1 3 12 12 4 , 7 13 14 11 15 ->= 7 13 14 11 15 , 6 0 1 2 3 4 5 2 2 3 6 1 2 7 1 2 7 0 0 -> 6 1 2 2 2 3 4 8 0 1 3 6 1 2 2 2 7 0 0 , 6 0 9 10 6 1 2 7 1 11 10 12 6 13 14 2 7 13 6 -> 6 1 3 12 4 8 0 0 13 6 1 11 10 14 2 7 1 3 6 , 6 13 6 1 3 12 6 0 13 6 9 10 12 6 1 3 14 11 8 -> 6 13 14 7 0 1 3 12 6 13 12 12 6 13 4 8 1 11 8 , 6 13 6 9 5 7 0 0 9 15 8 1 2 2 2 3 12 12 6 -> 6 0 13 12 4 8 9 8 0 1 2 2 7 1 2 3 4 10 6 , 6 13 12 12 12 4 10 12 6 13 4 10 6 1 11 15 15 5 7 -> 6 1 7 13 4 10 12 4 10 6 13 4 5 3 4 10 12 4 8 , 6 13 14 11 5 3 6 13 14 2 7 0 13 6 9 10 6 13 6 -> 6 1 3 12 12 6 1 2 7 0 13 12 6 9 8 13 4 5 7 , 6 1 3 6 9 8 9 8 9 5 7 13 6 13 14 2 3 12 6 -> 6 1 11 8 9 5 2 3 14 3 12 6 0 9 8 0 13 12 6 , 6 1 11 8 13 14 11 5 7 9 10 6 0 0 9 15 8 9 8 -> 6 1 3 4 8 0 9 15 8 13 6 1 2 11 15 8 0 9 8 , 6 9 8 13 6 9 8 13 12 12 14 7 0 0 9 5 3 6 0 -> 6 0 1 2 3 4 8 0 13 4 8 13 6 13 6 0 13 4 8 , 6 9 10 12 14 11 8 9 8 13 6 13 14 2 3 6 1 2 7 -> 6 0 13 4 8 0 1 2 2 11 5 3 12 12 12 6 9 5 7 , 6 9 5 7 9 10 6 13 6 9 8 9 8 0 9 8 0 0 0 -> 6 9 8 0 0 0 13 14 7 9 15 8 0 9 8 13 4 8 0 , 12 6 0 0 13 14 11 15 5 2 3 6 1 11 15 5 7 9 8 -> 4 8 1 3 12 4 15 10 6 0 1 7 1 2 11 5 7 9 8 , 12 6 13 6 1 7 1 11 10 12 14 2 7 0 9 8 9 5 7 -> 6 0 0 13 12 4 10 4 5 7 0 1 2 3 4 8 1 2 7 , 12 6 13 4 5 2 11 5 7 0 13 6 9 5 11 5 11 15 8 -> 12 4 15 10 14 2 7 9 8 0 13 4 8 1 2 11 5 11 8 , 12 6 1 11 10 14 11 10 14 11 5 11 5 3 14 2 2 2 7 -> 14 11 5 2 11 8 1 3 4 5 2 3 12 12 4 5 2 2 7 , 12 6 1 11 15 15 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15 15 10 14 3 12 6 13 6 1 -> 15 8 0 1 3 4 5 11 15 10 12 4 10 12 6 1 7 13 14 , 15 5 11 5 2 7 9 15 5 7 13 6 0 1 7 13 12 12 14 -> 15 8 13 4 5 7 9 8 13 14 11 8 1 7 1 2 3 12 14 , 15 15 8 13 6 9 5 7 13 12 12 12 4 10 14 11 15 15 5 -> 15 5 11 10 12 12 6 9 15 8 1 3 4 8 13 4 10 4 5 , 15 15 10 6 9 5 11 8 9 10 6 1 7 9 8 1 2 7 1 -> 15 15 15 5 7 9 8 9 8 13 6 0 13 4 8 1 2 2 2 , 15 15 10 14 2 2 11 15 15 10 4 8 13 12 12 14 3 6 1 -> 15 15 15 10 14 11 10 4 8 1 2 3 4 8 1 3 12 12 14 , 8 13 14 11 5 ->= 8 13 14 11 5 , 8 0 1 2 3 4 5 2 2 3 6 1 2 7 1 2 7 0 13 -> 8 1 2 2 2 3 4 8 0 1 3 6 1 2 2 2 7 0 13 , 8 0 9 10 6 1 2 7 1 11 10 12 6 13 14 2 7 13 12 -> 8 1 3 12 4 8 0 0 13 6 1 11 10 14 2 7 1 3 12 , 8 13 6 1 3 12 6 0 13 6 9 10 12 6 1 3 14 11 10 -> 8 13 14 7 0 1 3 12 6 13 12 12 6 13 4 8 1 11 10 , 8 13 6 9 5 7 0 0 9 15 8 1 2 2 2 3 12 12 12 -> 8 0 13 12 4 8 9 8 0 1 2 2 7 1 2 3 4 10 12 , 8 13 12 12 12 4 10 12 6 13 4 10 6 1 11 15 15 5 3 -> 8 1 7 13 4 10 12 4 10 6 13 4 5 3 4 10 12 4 10 , 8 13 14 11 5 3 6 13 14 2 7 0 13 6 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9 8 9 10 6 9 15 10 14 3 4 5 7 1 3 6 13 -> 5 2 3 4 8 0 13 4 10 6 1 7 0 9 15 15 10 12 12 , 10 6 9 15 10 6 9 15 15 10 12 4 5 7 0 13 4 10 12 -> 10 4 15 8 13 4 15 8 13 4 15 8 13 4 5 3 6 13 12 , 10 12 6 0 13 14 3 14 2 7 9 10 14 11 5 7 0 9 10 -> 10 14 2 7 1 3 6 1 3 6 0 1 11 8 13 12 4 15 10 , 10 12 6 9 10 6 1 11 10 12 6 9 15 8 9 10 12 12 12 -> 10 12 4 10 4 5 11 8 13 6 9 8 13 4 10 6 13 12 12 , 10 12 6 9 10 6 9 15 15 10 12 14 2 2 2 7 13 14 3 -> 5 3 12 6 0 13 12 14 11 15 15 8 13 14 11 5 3 14 3 , 10 12 12 12 6 13 4 5 3 12 14 2 7 1 2 11 8 1 3 -> 10 12 12 14 11 8 1 2 3 12 12 14 11 8 13 14 7 1 3 , 10 12 12 14 3 12 12 14 3 4 10 6 13 14 3 14 11 10 12 -> 10 12 12 12 12 12 4 8 1 2 3 12 12 14 11 10 14 3 12 , 10 12 12 4 10 4 10 6 9 5 3 4 5 3 6 9 8 9 10 -> 10 14 2 11 8 13 4 10 12 4 8 0 13 4 10 12 4 15 10 , 10 12 4 5 7 1 11 10 6 13 6 1 11 15 5 2 7 0 13 -> 5 7 1 11 5 7 1 7 13 14 3 4 8 13 4 8 13 4 10 , 10 12 4 15 5 3 4 15 5 7 13 4 15 15 8 9 5 3 12 -> 10 4 10 4 8 9 15 15 10 4 15 5 11 10 14 7 1 3 12 , 10 14 7 0 1 3 4 5 2 11 5 2 7 9 5 11 5 2 3 -> 10 14 7 9 5 2 2 2 11 8 0 1 2 2 11 10 4 5 3 , 10 14 7 13 14 3 6 1 7 0 9 10 6 1 7 9 5 2 3 -> 10 12 6 0 0 1 3 6 1 7 9 5 2 3 6 1 11 5 3 , 10 14 7 1 7 0 0 9 8 13 6 13 12 6 9 10 6 9 10 -> 10 4 8 9 10 12 6 13 12 6 0 0 1 2 11 8 0 0 13 , 10 14 3 6 9 10 4 15 5 2 2 2 7 0 9 10 6 13 12 -> 15 10 14 7 13 4 5 11 5 2 7 0 0 1 11 10 12 12 12 , 10 14 3 14 3 14 7 13 6 13 4 10 6 0 0 13 4 15 10 -> 10 12 14 2 3 6 13 4 8 13 12 4 8 1 3 4 8 0 13 , 10 14 3 4 5 11 15 10 12 12 6 13 6 0 9 5 7 9 10 -> 10 4 15 5 11 8 1 3 4 10 12 4 10 14 3 6 0 0 13 , 10 14 11 8 9 5 7 1 7 1 7 9 5 7 1 2 7 0 13 -> 10 14 2 2 7 9 15 8 0 1 7 0 0 1 2 2 11 8 13 , 10 14 11 10 12 6 0 9 15 8 1 3 4 15 8 9 5 11 10 -> 15 10 4 8 1 11 15 10 4 8 1 3 14 7 0 13 4 15 10 , 10 14 11 15 10 14 2 2 3 6 13 14 7 13 4 5 7 13 12 -> 15 15 8 0 1 7 1 2 3 12 12 4 10 14 2 3 14 3 12 , 10 14 11 15 5 3 6 9 5 2 3 6 9 10 6 0 0 0 13 -> 8 9 8 13 14 3 4 8 13 6 1 3 14 11 15 8 1 7 13 , 10 4 10 12 6 13 14 3 12 12 6 9 10 12 6 1 11 10 12 -> 10 12 4 5 3 4 10 12 6 0 13 4 5 3 6 13 12 12 12 , 10 4 10 4 5 7 13 4 10 12 4 5 11 15 15 15 8 13 12 -> 10 4 15 15 10 14 11 10 4 8 1 3 12 4 8 9 15 10 12 , 10 4 5 2 3 6 13 14 3 6 9 10 6 9 5 11 8 9 10 -> 15 10 4 5 3 12 6 0 1 7 0 9 10 4 5 2 3 4 10 , 10 4 15 8 0 9 15 10 6 0 1 11 15 10 4 5 11 10 12 -> 10 4 8 0 13 4 8 13 4 15 5 2 11 15 15 15 8 13 12 , 10 4 15 8 13 12 4 5 2 3 12 6 9 10 14 3 6 0 13 -> 10 4 10 12 6 0 13 12 14 3 4 8 1 11 10 6 1 11 10 , 10 4 15 5 2 3 6 9 5 3 12 12 14 11 10 6 13 6 13 -> 5 7 13 14 3 14 3 4 10 12 4 8 9 5 3 4 8 13 12 , 5 7 0 9 10 14 11 5 7 1 11 8 13 14 2 7 0 1 3 -> 5 7 1 11 10 4 8 0 9 5 7 13 6 1 7 1 2 2 3 , 5 7 13 6 1 2 2 2 7 9 5 11 10 14 11 8 9 5 3 -> 5 7 1 7 1 2 11 8 9 15 10 4 8 13 14 2 2 2 3 , 5 7 13 4 15 15 15 15 10 12 4 5 7 13 6 0 13 6 13 -> 10 4 8 1 3 12 4 8 1 11 8 0 9 10 4 15 10 6 13 , 5 7 9 8 9 5 11 5 3 6 13 14 2 7 0 0 13 14 3 -> 8 1 2 3 14 7 13 14 7 9 8 0 1 3 4 8 9 5 3 , 5 3 6 13 12 4 15 8 13 6 13 14 11 15 8 9 5 2 3 -> 8 9 15 10 4 15 8 1 3 12 4 10 6 1 3 14 7 1 3 , 5 3 12 12 6 1 2 2 3 6 1 7 0 1 2 2 2 3 12 -> 5 2 2 2 3 12 14 7 13 6 0 0 1 3 14 2 2 3 12 , 5 3 14 2 2 7 1 3 14 11 8 0 9 10 14 2 3 4 10 -> 8 1 7 1 3 4 5 2 3 4 5 2 3 4 8 1 3 14 3 , 5 3 14 2 2 3 4 5 7 0 1 11 5 11 15 15 8 9 10 -> 5 11 15 10 4 5 7 9 5 3 4 8 1 2 2 2 11 8 13 , 5 3 14 2 11 5 11 8 13 4 5 3 12 4 15 5 2 2 3 -> 5 3 12 12 4 5 11 5 2 11 8 1 11 5 3 4 5 2 3 , 5 3 14 11 15 15 8 1 7 0 1 2 3 6 1 7 1 7 13 -> 8 9 8 1 2 2 3 4 8 0 13 4 8 0 1 2 2 2 3 , 5 3 4 15 15 10 14 3 14 3 6 0 9 10 4 5 7 0 13 -> 5 3 4 8 13 4 10 6 1 2 7 0 13 4 10 4 5 11 10 , 5 2 7 0 1 3 12 14 3 14 7 13 14 2 2 2 2 2 3 -> 5 2 2 2 3 12 6 1 3 12 14 2 7 1 7 1 2 2 3 , 5 2 7 9 10 14 7 9 10 14 3 4 8 13 6 9 8 0 13 -> 5 11 5 2 3 4 8 9 8 13 4 8 0 0 13 12 14 7 13 , 5 2 3 6 13 14 7 0 9 8 1 3 12 14 3 14 3 14 3 -> 5 2 3 6 9 5 3 12 12 6 0 1 7 13 14 2 3 14 3 , 5 2 3 12 14 11 10 14 3 4 10 6 1 2 7 9 10 12 12 -> 5 2 3 14 11 10 12 4 10 14 2 3 6 0 1 3 4 10 12 , 5 2 3 12 4 10 6 0 13 14 11 5 11 10 6 13 12 6 13 -> 8 13 14 2 11 10 6 1 3 4 5 3 12 4 8 13 12 6 13 , 5 2 3 14 11 5 7 1 7 9 10 6 13 12 6 13 4 15 10 -> 5 2 7 13 14 7 13 14 11 10 6 1 7 13 4 10 4 15 10 , 5 2 2 2 3 12 6 13 12 14 2 7 0 13 14 2 3 12 12 -> 8 1 3 14 7 1 7 1 2 3 14 2 2 3 12 12 12 12 12 , 5 2 11 10 14 11 8 9 10 12 12 6 13 12 6 13 4 10 12 -> 5 11 10 12 14 7 13 4 10 12 6 13 12 4 10 4 8 1 3 , 5 2 11 15 10 4 10 12 6 13 14 2 7 9 5 7 9 15 10 -> 5 2 11 10 4 5 3 4 15 10 6 0 1 11 15 10 6 1 3 , 5 11 8 1 7 9 5 7 1 11 5 3 14 2 2 11 8 9 10 -> 5 11 5 11 15 8 0 1 2 2 3 4 5 7 1 11 5 7 13 , 5 11 10 6 13 6 13 14 3 6 9 10 6 9 10 14 2 11 10 -> 5 3 14 3 12 6 13 6 1 11 8 0 9 15 15 10 12 14 3 , 5 11 10 6 1 11 10 6 0 13 6 13 6 13 14 2 3 6 13 -> 5 7 9 10 6 13 6 13 14 7 1 2 3 4 8 0 13 12 12 , 5 11 10 12 6 9 10 14 3 6 13 4 5 7 13 14 3 12 12 -> 5 11 5 7 13 12 12 4 5 3 12 4 8 0 13 12 14 3 12 , 5 11 5 3 6 0 0 1 11 5 11 8 9 8 1 3 12 14 3 -> 5 2 11 8 9 8 1 3 6 1 2 7 13 4 10 4 8 1 3 , 5 11 5 2 2 11 8 9 10 6 9 5 3 12 14 7 1 11 10 -> 5 2 3 12 6 13 14 11 15 8 9 15 5 2 2 7 1 11 10 , 5 11 15 5 11 10 6 13 12 12 4 10 6 13 6 9 5 7 13 -> 5 3 6 0 13 14 11 10 12 4 15 15 10 12 4 5 7 0 13 , 15 8 13 6 13 14 11 15 10 14 11 5 3 12 12 4 15 8 13 -> 15 8 13 14 3 4 15 10 4 8 13 4 10 14 7 13 4 5 3 , 15 8 9 10 6 13 6 9 15 10 6 9 5 11 15 5 7 9 10 -> 10 4 8 1 7 0 9 15 5 3 4 8 9 15 10 4 15 8 13 , 15 10 6 0 9 8 9 5 11 5 11 8 13 6 13 12 14 11 10 -> 15 8 13 4 5 11 15 10 12 6 1 7 0 9 10 4 8 1 3 , 15 10 12 6 9 8 13 12 4 5 3 14 11 15 10 4 15 10 12 -> 15 10 4 5 3 12 12 4 15 8 9 5 3 4 8 13 4 10 12 , 15 10 14 7 9 5 2 11 5 7 9 15 5 11 15 10 12 4 10 -> 15 5 2 11 10 4 15 5 3 4 15 8 1 7 1 11 10 4 10 , 15 10 14 11 5 7 1 11 10 12 12 4 15 5 7 0 0 9 10 -> 15 10 4 5 3 4 8 1 3 6 0 1 11 10 14 11 15 8 13 , 15 5 7 13 14 3 6 9 15 15 15 10 14 3 12 6 13 6 13 -> 15 8 0 1 3 4 5 11 15 10 12 4 10 12 6 1 7 13 12 , 15 5 11 5 2 7 9 15 5 7 13 6 0 1 7 13 12 12 12 -> 15 8 13 4 5 7 9 8 13 14 11 8 1 7 1 2 3 12 12 , 15 15 8 13 6 9 5 7 13 12 12 12 4 10 14 11 15 15 10 -> 15 5 11 10 12 12 6 9 15 8 1 3 4 8 13 4 10 4 10 , 15 15 10 6 9 5 11 8 9 10 6 1 7 9 8 1 2 7 13 -> 15 15 15 5 7 9 8 9 8 13 6 0 13 4 8 1 2 2 3 , 15 15 10 14 2 2 11 15 15 10 4 8 13 12 12 14 3 6 13 -> 15 15 15 10 14 11 10 4 8 1 2 3 4 8 1 3 12 12 12 , 8 13 14 11 10 ->= 8 13 14 11 10 , 8 0 1 2 3 4 5 2 2 3 6 1 2 7 1 2 7 0 9 -> 8 1 2 2 2 3 4 8 0 1 3 6 1 2 2 2 7 0 9 , 8 0 9 10 6 1 2 7 1 11 10 12 6 13 14 2 7 13 4 -> 8 1 3 12 4 8 0 0 13 6 1 11 10 14 2 7 1 3 4 , 8 13 6 1 3 12 6 0 13 6 9 10 12 6 1 3 14 11 15 -> 8 13 14 7 0 1 3 12 6 13 12 12 6 13 4 8 1 11 15 , 8 13 6 9 5 7 0 0 9 15 8 1 2 2 2 3 12 12 4 -> 8 0 13 12 4 8 9 8 0 1 2 2 7 1 2 3 4 10 4 , 8 13 12 12 12 4 10 12 6 13 4 10 6 1 11 15 15 5 11 -> 8 1 7 13 4 10 12 4 10 6 13 4 5 3 4 10 12 4 15 , 8 13 14 11 5 3 6 13 14 2 7 0 13 6 9 10 6 13 4 -> 8 1 3 12 12 6 1 2 7 0 13 12 6 9 8 13 4 5 11 , 8 1 3 6 9 8 9 8 9 5 7 13 6 13 14 2 3 12 4 -> 8 1 11 8 9 5 2 3 14 3 12 6 0 9 8 0 13 12 4 , 8 1 11 8 13 14 11 5 7 9 10 6 0 0 9 15 8 9 15 -> 8 1 3 4 8 0 9 15 8 13 6 1 2 11 15 8 0 9 15 , 8 9 8 13 6 9 8 13 12 12 14 7 0 0 9 5 3 6 9 -> 8 0 1 2 3 4 8 0 13 4 8 13 6 13 6 0 13 4 15 , 8 9 10 12 14 11 8 9 8 13 6 13 14 2 3 6 1 2 11 -> 8 0 13 4 8 0 1 2 2 11 5 3 12 12 12 6 9 5 11 , 8 9 5 7 9 10 6 13 6 9 8 9 8 0 9 8 0 0 9 -> 8 9 8 0 0 0 13 14 7 9 15 8 0 9 8 13 4 8 9 , 10 6 0 0 13 14 11 15 5 2 3 6 1 11 15 5 7 9 15 -> 15 8 1 3 12 4 15 10 6 0 1 7 1 2 11 5 7 9 15 , 10 6 13 6 1 7 1 11 10 12 14 2 7 0 9 8 9 5 11 -> 8 0 0 13 12 4 10 4 5 7 0 1 2 3 4 8 1 2 11 , 10 6 13 4 5 2 11 5 7 0 13 6 9 5 11 5 11 15 15 -> 10 4 15 10 14 2 7 9 8 0 13 4 8 1 2 11 5 11 15 , 10 6 1 11 10 14 11 10 14 11 5 11 5 3 14 2 2 2 11 -> 5 11 5 2 11 8 1 3 4 5 2 3 12 12 4 5 2 2 11 , 10 6 1 11 15 15 10 6 1 7 13 14 2 11 5 3 6 13 4 -> 5 11 5 3 6 13 4 10 4 8 1 11 8 1 7 13 14 3 4 , 10 6 9 8 9 10 6 9 15 10 14 3 4 5 7 1 3 6 9 -> 5 2 3 4 8 0 13 4 10 6 1 7 0 9 15 15 10 12 4 , 10 6 9 15 10 6 9 15 15 10 12 4 5 7 0 13 4 10 4 -> 10 4 15 8 13 4 15 8 13 4 15 8 13 4 5 3 6 13 4 , 10 12 6 0 13 14 3 14 2 7 9 10 14 11 5 7 0 9 15 -> 10 14 2 7 1 3 6 1 3 6 0 1 11 8 13 12 4 15 15 , 10 12 6 9 10 6 1 11 10 12 6 9 15 8 9 10 12 12 4 -> 10 12 4 10 4 5 11 8 13 6 9 8 13 4 10 6 13 12 4 , 10 12 6 9 10 6 9 15 15 10 12 14 2 2 2 7 13 14 11 -> 5 3 12 6 0 13 12 14 11 15 15 8 13 14 11 5 3 14 11 , 10 12 12 12 6 13 4 5 3 12 14 2 7 1 2 11 8 1 11 -> 10 12 12 14 11 8 1 2 3 12 12 14 11 8 13 14 7 1 11 , 10 12 12 14 3 12 12 14 3 4 10 6 13 14 3 14 11 10 4 -> 10 12 12 12 12 12 4 8 1 2 3 12 12 14 11 10 14 3 4 , 10 12 12 4 10 4 10 6 9 5 3 4 5 3 6 9 8 9 15 -> 10 14 2 11 8 13 4 10 12 4 8 0 13 4 10 12 4 15 15 , 10 12 4 5 7 1 11 10 6 13 6 1 11 15 5 2 7 0 9 -> 5 7 1 11 5 7 1 7 13 14 3 4 8 13 4 8 13 4 15 , 10 12 4 15 5 3 4 15 5 7 13 4 15 15 8 9 5 3 4 -> 10 4 10 4 8 9 15 15 10 4 15 5 11 10 14 7 1 3 4 , 10 14 7 0 1 3 4 5 2 11 5 2 7 9 5 11 5 2 11 -> 10 14 7 9 5 2 2 2 11 8 0 1 2 2 11 10 4 5 11 , 10 14 7 13 14 3 6 1 7 0 9 10 6 1 7 9 5 2 11 -> 10 12 6 0 0 1 3 6 1 7 9 5 2 3 6 1 11 5 11 , 10 14 7 1 7 0 0 9 8 13 6 13 12 6 9 10 6 9 15 -> 10 4 8 9 10 12 6 13 12 6 0 0 1 2 11 8 0 0 9 , 10 14 3 6 9 10 4 15 5 2 2 2 7 0 9 10 6 13 4 -> 15 10 14 7 13 4 5 11 5 2 7 0 0 1 11 10 12 12 4 , 10 14 3 14 3 14 7 13 6 13 4 10 6 0 0 13 4 15 15 -> 10 12 14 2 3 6 13 4 8 13 12 4 8 1 3 4 8 0 9 , 10 14 3 4 5 11 15 10 12 12 6 13 6 0 9 5 7 9 15 -> 10 4 15 5 11 8 1 3 4 10 12 4 10 14 3 6 0 0 9 , 10 14 11 8 9 5 7 1 7 1 7 9 5 7 1 2 7 0 9 -> 10 14 2 2 7 9 15 8 0 1 7 0 0 1 2 2 11 8 9 , 10 14 11 10 12 6 0 9 15 8 1 3 4 15 8 9 5 11 15 -> 15 10 4 8 1 11 15 10 4 8 1 3 14 7 0 13 4 15 15 , 10 14 11 15 10 14 2 2 3 6 13 14 7 13 4 5 7 13 4 -> 15 15 8 0 1 7 1 2 3 12 12 4 10 14 2 3 14 3 4 , 10 14 11 15 5 3 6 9 5 2 3 6 9 10 6 0 0 0 9 -> 8 9 8 13 14 3 4 8 13 6 1 3 14 11 15 8 1 7 9 , 10 4 10 12 6 13 14 3 12 12 6 9 10 12 6 1 11 10 4 -> 10 12 4 5 3 4 10 12 6 0 13 4 5 3 6 13 12 12 4 , 10 4 10 4 5 7 13 4 10 12 4 5 11 15 15 15 8 13 4 -> 10 4 15 15 10 14 11 10 4 8 1 3 12 4 8 9 15 10 4 , 10 4 5 2 3 6 13 14 3 6 9 10 6 9 5 11 8 9 15 -> 15 10 4 5 3 12 6 0 1 7 0 9 10 4 5 2 3 4 15 , 10 4 15 8 0 9 15 10 6 0 1 11 15 10 4 5 11 10 4 -> 10 4 8 0 13 4 8 13 4 15 5 2 11 15 15 15 8 13 4 , 10 4 15 8 13 12 4 5 2 3 12 6 9 10 14 3 6 0 9 -> 10 4 10 12 6 0 13 12 14 3 4 8 1 11 10 6 1 11 15 , 10 4 15 5 2 3 6 9 5 3 12 12 14 11 10 6 13 6 9 -> 5 7 13 14 3 14 3 4 10 12 4 8 9 5 3 4 8 13 4 , 5 7 0 9 10 14 11 5 7 1 11 8 13 14 2 7 0 1 11 -> 5 7 1 11 10 4 8 0 9 5 7 13 6 1 7 1 2 2 11 , 5 7 13 6 1 2 2 2 7 9 5 11 10 14 11 8 9 5 11 -> 5 7 1 7 1 2 11 8 9 15 10 4 8 13 14 2 2 2 11 , 5 7 13 4 15 15 15 15 10 12 4 5 7 13 6 0 13 6 9 -> 10 4 8 1 3 12 4 8 1 11 8 0 9 10 4 15 10 6 9 , 5 7 9 8 9 5 11 5 3 6 13 14 2 7 0 0 13 14 11 -> 8 1 2 3 14 7 13 14 7 9 8 0 1 3 4 8 9 5 11 , 5 3 6 13 12 4 15 8 13 6 13 14 11 15 8 9 5 2 11 -> 8 9 15 10 4 15 8 1 3 12 4 10 6 1 3 14 7 1 11 , 5 3 12 12 6 1 2 2 3 6 1 7 0 1 2 2 2 3 4 -> 5 2 2 2 3 12 14 7 13 6 0 0 1 3 14 2 2 3 4 , 5 3 14 2 2 7 1 3 14 11 8 0 9 10 14 2 3 4 15 -> 8 1 7 1 3 4 5 2 3 4 5 2 3 4 8 1 3 14 11 , 5 3 14 2 2 3 4 5 7 0 1 11 5 11 15 15 8 9 15 -> 5 11 15 10 4 5 7 9 5 3 4 8 1 2 2 2 11 8 9 , 5 3 14 2 11 5 11 8 13 4 5 3 12 4 15 5 2 2 11 -> 5 3 12 12 4 5 11 5 2 11 8 1 11 5 3 4 5 2 11 , 5 3 14 11 15 15 8 1 7 0 1 2 3 6 1 7 1 7 9 -> 8 9 8 1 2 2 3 4 8 0 13 4 8 0 1 2 2 2 11 , 5 3 4 15 15 10 14 3 14 3 6 0 9 10 4 5 7 0 9 -> 5 3 4 8 13 4 10 6 1 2 7 0 13 4 10 4 5 11 15 , 5 2 7 0 1 3 12 14 3 14 7 13 14 2 2 2 2 2 11 -> 5 2 2 2 3 12 6 1 3 12 14 2 7 1 7 1 2 2 11 , 5 2 7 9 10 14 7 9 10 14 3 4 8 13 6 9 8 0 9 -> 5 11 5 2 3 4 8 9 8 13 4 8 0 0 13 12 14 7 9 , 5 2 3 6 13 14 7 0 9 8 1 3 12 14 3 14 3 14 11 -> 5 2 3 6 9 5 3 12 12 6 0 1 7 13 14 2 3 14 11 , 5 2 3 12 14 11 10 14 3 4 10 6 1 2 7 9 10 12 4 -> 5 2 3 14 11 10 12 4 10 14 2 3 6 0 1 3 4 10 4 , 5 2 3 12 4 10 6 0 13 14 11 5 11 10 6 13 12 6 9 -> 8 13 14 2 11 10 6 1 3 4 5 3 12 4 8 13 12 6 9 , 5 2 3 14 11 5 7 1 7 9 10 6 13 12 6 13 4 15 15 -> 5 2 7 13 14 7 13 14 11 10 6 1 7 13 4 10 4 15 15 , 5 2 2 2 3 12 6 13 12 14 2 7 0 13 14 2 3 12 4 -> 8 1 3 14 7 1 7 1 2 3 14 2 2 3 12 12 12 12 4 , 5 2 11 10 14 11 8 9 10 12 12 6 13 12 6 13 4 10 4 -> 5 11 10 12 14 7 13 4 10 12 6 13 12 4 10 4 8 1 11 , 5 2 11 15 10 4 10 12 6 13 14 2 7 9 5 7 9 15 15 -> 5 2 11 10 4 5 3 4 15 10 6 0 1 11 15 10 6 1 11 , 5 11 8 1 7 9 5 7 1 11 5 3 14 2 2 11 8 9 15 -> 5 11 5 11 15 8 0 1 2 2 3 4 5 7 1 11 5 7 9 , 5 11 10 6 13 6 13 14 3 6 9 10 6 9 10 14 2 11 15 -> 5 3 14 3 12 6 13 6 1 11 8 0 9 15 15 10 12 14 11 , 5 11 10 6 1 11 10 6 0 13 6 13 6 13 14 2 3 6 9 -> 5 7 9 10 6 13 6 13 14 7 1 2 3 4 8 0 13 12 4 , 5 11 10 12 6 9 10 14 3 6 13 4 5 7 13 14 3 12 4 -> 5 11 5 7 13 12 12 4 5 3 12 4 8 0 13 12 14 3 4 , 5 11 5 3 6 0 0 1 11 5 11 8 9 8 1 3 12 14 11 -> 5 2 11 8 9 8 1 3 6 1 2 7 13 4 10 4 8 1 11 , 5 11 5 2 2 11 8 9 10 6 9 5 3 12 14 7 1 11 15 -> 5 2 3 12 6 13 14 11 15 8 9 15 5 2 2 7 1 11 15 , 5 11 15 5 11 10 6 13 12 12 4 10 6 13 6 9 5 7 9 -> 5 3 6 0 13 14 11 10 12 4 15 15 10 12 4 5 7 0 9 , 15 8 13 6 13 14 11 15 10 14 11 5 3 12 12 4 15 8 9 -> 15 8 13 14 3 4 15 10 4 8 13 4 10 14 7 13 4 5 11 , 15 8 9 10 6 13 6 9 15 10 6 9 5 11 15 5 7 9 15 -> 10 4 8 1 7 0 9 15 5 3 4 8 9 15 10 4 15 8 9 , 15 10 6 0 9 8 9 5 11 5 11 8 13 6 13 12 14 11 15 -> 15 8 13 4 5 11 15 10 12 6 1 7 0 9 10 4 8 1 11 , 15 10 12 6 9 8 13 12 4 5 3 14 11 15 10 4 15 10 4 -> 15 10 4 5 3 12 12 4 15 8 9 5 3 4 8 13 4 10 4 , 15 10 14 7 9 5 2 11 5 7 9 15 5 11 15 10 12 4 15 -> 15 5 2 11 10 4 15 5 3 4 15 8 1 7 1 11 10 4 15 , 15 10 14 11 5 7 1 11 10 12 12 4 15 5 7 0 0 9 15 -> 15 10 4 5 3 4 8 1 3 6 0 1 11 10 14 11 15 8 9 , 15 5 7 13 14 3 6 9 15 15 15 10 14 3 12 6 13 6 9 -> 15 8 0 1 3 4 5 11 15 10 12 4 10 12 6 1 7 13 4 , 15 5 11 5 2 7 9 15 5 7 13 6 0 1 7 13 12 12 4 -> 15 8 13 4 5 7 9 8 13 14 11 8 1 7 1 2 3 12 4 , 15 15 8 13 6 9 5 7 13 12 12 12 4 10 14 11 15 15 15 -> 15 5 11 10 12 12 6 9 15 8 1 3 4 8 13 4 10 4 15 , 15 15 10 6 9 5 11 8 9 10 6 1 7 9 8 1 2 7 9 -> 15 15 15 5 7 9 8 9 8 13 6 0 13 4 8 1 2 2 11 , 15 15 10 14 2 2 11 15 15 10 4 8 13 12 12 14 3 6 9 -> 15 15 15 10 14 11 10 4 8 1 2 3 4 8 1 3 12 12 4 , 8 13 14 11 15 ->= 8 13 14 11 15 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2: 0 is interpreted by / \ | 1 0 | | 0 1 | \ / 1 is interpreted by / \ | 1 0 | | 0 1 | \ / 2 is interpreted by / \ | 1 0 | | 0 1 | \ / 3 is interpreted by / \ | 1 1 | | 0 1 | \ / 4 is interpreted by / \ | 1 0 | | 0 1 | \ / 5 is interpreted by / \ | 1 0 | | 0 1 | \ / 6 is interpreted by / \ | 1 4 | | 0 1 | \ / 7 is interpreted by / \ | 1 2 | | 0 1 | \ / 8 is interpreted by / \ | 1 0 | | 0 1 | \ / 9 is interpreted by / \ | 1 1 | | 0 1 | \ / 10 is interpreted by / \ | 1 0 | | 0 1 | \ / 11 is interpreted by / \ | 1 0 | | 0 1 | \ / 12 is interpreted by / \ | 1 1 | | 0 1 | \ / 13 is interpreted by / \ | 1 1 | | 0 1 | \ / 14 is interpreted by / \ | 1 2 | | 0 1 | \ / 15 is interpreted by / \ | 1 0 | | 0 1 | \ / After renaming modulo { 13->0, 12->1, 6->2, 4->3, 5->4, 3->5, 14->6, 2->7, 7->8, 1->9, 11->10, 8->11, 10->12, 15->13, 9->14, 0->15 }, it remains to prove termination of the 150-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 10 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 10 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 8 0 6 10 12 ->= 8 0 6 10 12 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 10 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 10 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 15 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 15 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 2 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 9 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 9 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 0 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 0 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 14 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 14 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 149-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 10 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 10 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 8 0 6 10 12 ->= 8 0 6 10 12 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 10 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 10 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 15 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 15 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 2 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 9 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 9 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 0 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 0 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 14 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 14 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 148-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 10 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 10 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 8 0 6 10 12 ->= 8 0 6 10 12 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 10 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 10 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 15 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 15 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 2 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 9 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 9 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 0 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 0 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 14 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 14 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } The system was filtered by the following matrix interpretation of type 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| | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 147-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 10 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 10 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 8 0 6 10 12 ->= 8 0 6 10 12 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 10 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 10 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 15 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 15 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 2 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 9 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 9 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 0 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 0 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 14 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 14 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 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 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| | 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 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 146-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 10 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 10 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 8 0 6 10 12 ->= 8 0 6 10 12 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 10 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 10 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 15 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 15 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 2 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 9 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 9 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 0 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 0 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 14 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 14 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 145-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 10 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 10 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 8 0 6 10 12 ->= 8 0 6 10 12 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 10 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 10 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 15 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 15 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 2 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 9 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 9 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 0 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 0 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 14 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 14 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 144-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 10 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 10 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 8 0 6 10 12 ->= 8 0 6 10 12 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 10 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 10 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 15 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 15 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 2 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 9 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 9 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 0 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 0 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 14 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 14 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 143-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 10 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 10 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 8 0 6 10 12 ->= 8 0 6 10 12 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 10 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 10 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 15 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 15 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 2 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 9 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 9 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 0 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 0 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 14 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 14 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 142-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 10 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 10 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 8 0 6 10 12 ->= 8 0 6 10 12 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 10 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 10 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 15 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 15 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 2 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 9 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 9 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 0 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 0 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 14 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 14 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 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0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 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 141-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 10 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 10 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 8 0 6 10 12 ->= 8 0 6 10 12 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 10 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 10 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 15 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 15 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 2 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 9 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 9 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 0 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 0 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 14 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 14 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 140-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 10 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 10 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 8 0 6 10 12 ->= 8 0 6 10 12 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 10 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 10 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 15 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 15 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 2 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 9 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 9 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 0 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 0 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 14 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 14 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 139-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 10 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 10 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 8 0 6 10 12 ->= 8 0 6 10 12 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 10 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 10 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 15 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 15 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 2 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 9 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 9 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 0 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 0 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 14 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 14 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 138-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 10 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 10 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 15 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 15 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 2 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 9 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 9 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 0 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 0 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 14 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 14 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 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 137-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 10 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 10 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 15 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 15 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 2 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 9 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 9 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 0 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 0 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 14 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 14 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 136-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 10 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 10 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 15 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 15 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 2 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 9 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 9 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 0 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 0 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 14 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 14 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 135-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 15 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 15 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 2 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 9 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 9 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 0 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 0 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 14 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 14 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 134-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 2 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 9 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 9 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 0 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 0 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 14 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 14 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 133-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 2 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 9 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 9 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 0 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 0 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 14 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 14 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 132-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 2 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 9 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 9 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 0 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 0 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 14 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 14 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 131-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 9 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 9 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 0 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 0 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 14 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 14 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 130-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 9 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 9 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 0 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 0 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 14 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 14 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 129-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 0 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 0 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 14 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 14 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 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 128-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 0 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 0 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 14 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 14 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 127-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 0 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 0 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 14 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 14 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 126-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 0 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 0 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 14 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 14 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 125-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 0 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 0 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 14 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 14 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 124-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 14 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 14 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 123-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 14 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 14 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 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 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 122-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 14 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 14 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 121-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 14 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 14 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 120-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 1 6 10 13 4 5 2 14 4 7 5 2 14 12 2 15 15 15 14 -> 2 14 11 0 6 5 3 11 0 2 9 5 6 10 13 11 9 8 14 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 119-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 118-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 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 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 117-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 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0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 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 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 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0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 116-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 115-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 114-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 | | 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 113-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 3 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 3 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 112-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 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 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 111-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 110-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 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 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 109-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 108-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 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 | \ / 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 107-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 106-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 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0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 105-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 104-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 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0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 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 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 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 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 103-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 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 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 102-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 101-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 5 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 5 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 100-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 1 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 1 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 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 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 99-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 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 98-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 6 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 6 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 3 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 3 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 95-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 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0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 11 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 11 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 4 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 4 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 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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 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 92-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 13 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 13 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 13 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 91-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 6 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 6 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 88-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 13 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 13 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 84-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 11 0 6 10 4 ->= 11 0 6 10 4 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 1 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 1 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 82-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 11 0 6 10 4 ->= 11 0 6 10 4 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 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 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 81-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 12 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 0 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 11 0 6 10 4 ->= 11 0 6 10 4 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 9 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 14 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 11 0 6 10 4 ->= 11 0 6 10 4 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 79-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 15 0 6 10 12 ->= 15 0 6 10 12 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 11 0 6 10 4 ->= 11 0 6 10 4 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 78-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 0 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 0 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 15 0 6 10 11 ->= 15 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 9 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 9 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 15 0 6 10 4 ->= 15 0 6 10 4 , 9 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 9 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 9 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 15 0 6 10 12 ->= 15 0 6 10 12 , 14 12 6 10 4 8 9 10 12 1 1 3 13 4 8 15 15 14 13 -> 14 12 3 4 5 3 11 9 5 2 15 9 10 12 6 10 13 11 14 , 15 0 6 10 13 ->= 15 0 6 10 13 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 15 14 12 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 5 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 7 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 8 0 6 10 12 ->= 8 0 6 10 12 , 7 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 10 -> 7 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 10 , 7 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 8 0 6 10 13 ->= 8 0 6 10 13 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 15 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 6 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 6 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 6 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 2 0 6 10 12 ->= 2 0 6 10 12 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 2 0 6 10 13 ->= 2 0 6 10 13 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 2 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 2 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 8 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 8 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 8 , 11 0 6 10 11 ->= 11 0 6 10 11 , 12 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 12 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 4 8 15 14 12 6 10 4 8 9 10 11 0 6 7 8 15 9 7 -> 4 8 9 10 12 3 11 15 14 4 8 0 2 9 8 9 7 7 7 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 15 14 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 14 4 5 1 1 2 15 9 8 0 6 7 5 6 7 , 11 0 6 10 4 ->= 11 0 6 10 4 , 4 5 1 1 2 9 7 7 5 2 9 8 15 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 15 15 9 5 6 7 7 5 1 , 4 7 8 15 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 10 4 7 7 10 11 14 12 2 14 4 5 1 6 8 9 10 12 -> 4 7 5 1 2 0 6 10 13 11 14 13 4 7 7 8 9 10 12 , 11 0 6 10 12 ->= 11 0 6 10 12 , 12 3 12 3 4 8 0 3 12 1 3 4 10 13 13 13 11 0 3 -> 12 3 13 13 12 6 10 12 3 11 9 5 1 3 11 14 13 12 3 , 11 0 6 10 13 ->= 11 0 6 10 13 } 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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, 15->12, 14->13, 12->14, 13->15 }, it remains to prove termination of the 77-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 9 8 12 13 14 6 10 4 8 9 10 11 0 6 7 8 12 9 8 -> 9 8 9 10 14 3 11 12 13 4 8 0 2 9 8 9 7 7 8 , 9 7 8 12 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 12 13 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 13 4 5 1 1 2 12 9 8 0 6 7 5 6 8 , 12 0 6 10 11 ->= 12 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 9 8 12 13 14 6 10 4 8 9 10 11 0 6 7 8 12 9 7 -> 9 8 9 10 14 3 11 12 13 4 8 0 2 9 8 9 7 7 7 , 9 7 8 12 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 12 13 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 13 4 5 1 1 2 12 9 8 0 6 7 5 6 7 , 12 0 6 10 4 ->= 12 0 6 10 4 , 9 5 1 1 2 9 7 7 5 2 9 8 12 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 12 12 9 5 6 7 7 5 1 , 9 7 8 12 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 13 14 2 13 4 5 1 6 8 9 10 14 -> 9 7 5 1 2 0 6 10 15 11 13 15 4 7 7 8 9 10 14 , 12 0 6 10 14 ->= 12 0 6 10 14 , 13 14 6 10 4 8 9 10 14 1 1 3 15 4 8 12 12 13 15 -> 13 14 3 4 5 3 11 9 5 2 12 9 10 14 6 10 15 11 13 , 12 0 6 10 15 ->= 12 0 6 10 15 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 7 8 12 13 14 6 10 4 8 9 10 11 0 6 7 8 12 9 8 -> 7 8 9 10 14 3 11 12 13 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 12 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 12 12 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 12 13 14 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 12 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 12 13 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 13 4 5 1 1 2 12 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 12 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 12 13 14 6 10 4 8 9 10 11 0 6 7 8 12 9 7 -> 7 8 9 10 14 3 11 12 13 4 8 0 2 9 8 9 7 7 7 , 7 7 8 12 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 12 13 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 13 4 5 1 1 2 12 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 12 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 12 13 14 6 10 4 8 9 10 11 0 6 7 8 12 9 5 -> 7 8 9 10 14 3 11 12 13 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 12 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 12 12 9 5 6 7 7 5 1 , 7 7 8 12 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 12 13 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 13 4 5 1 1 2 12 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 12 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 13 14 2 13 4 5 1 6 8 9 10 14 -> 7 7 5 1 2 0 6 10 15 11 13 15 4 7 7 8 9 10 14 , 8 0 6 10 14 ->= 8 0 6 10 14 , 7 8 12 13 14 6 10 4 8 9 10 11 0 6 7 8 12 9 10 -> 7 8 9 10 14 3 11 12 13 4 8 0 2 9 8 9 7 7 10 , 7 7 8 12 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 12 13 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 13 4 5 1 1 2 12 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 12 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 8 0 6 10 15 ->= 8 0 6 10 15 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 6 8 12 13 14 6 10 4 8 9 10 11 0 6 7 8 12 9 8 -> 6 8 9 10 14 3 11 12 13 4 8 0 2 9 8 9 7 7 8 , 6 7 8 12 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 12 13 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 13 4 5 1 1 2 12 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 12 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 12 13 14 6 10 4 8 9 10 11 0 6 7 8 12 9 7 -> 6 8 9 10 14 3 11 12 13 4 8 0 2 9 8 9 7 7 7 , 6 7 8 12 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 12 13 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 13 4 5 1 1 2 12 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 5 1 1 2 9 7 7 5 2 9 8 12 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 12 12 9 5 6 7 7 5 1 , 6 7 8 12 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 13 14 2 13 4 5 1 6 8 9 10 14 -> 6 7 5 1 2 0 6 10 15 11 13 15 4 7 7 8 9 10 14 , 2 0 6 10 14 ->= 2 0 6 10 14 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 2 0 6 10 15 ->= 2 0 6 10 15 , 14 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 14 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 14 3 14 3 4 8 0 3 14 1 3 4 10 15 15 15 11 0 2 -> 14 3 15 15 14 6 10 14 3 11 9 5 1 3 11 13 15 14 2 , 4 8 12 13 14 6 10 4 8 9 10 11 0 6 7 8 12 9 8 -> 4 8 9 10 14 3 11 12 13 4 8 0 2 9 8 9 7 7 8 , 4 7 8 12 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 12 13 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 13 4 5 1 1 2 12 9 8 0 6 7 5 6 8 , 11 0 6 10 11 ->= 11 0 6 10 11 , 14 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 14 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 4 8 12 13 14 6 10 4 8 9 10 11 0 6 7 8 12 9 7 -> 4 8 9 10 14 3 11 12 13 4 8 0 2 9 8 9 7 7 7 , 4 7 8 12 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 12 13 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 13 4 5 1 1 2 12 9 8 0 6 7 5 6 7 , 11 0 6 10 4 ->= 11 0 6 10 4 , 4 5 1 1 2 9 7 7 5 2 9 8 12 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 12 12 9 5 6 7 7 5 1 , 4 7 8 12 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 10 4 7 7 10 11 13 14 2 13 4 5 1 6 8 9 10 14 -> 4 7 5 1 2 0 6 10 15 11 13 15 4 7 7 8 9 10 14 , 11 0 6 10 14 ->= 11 0 6 10 14 , 14 3 14 3 4 8 0 3 14 1 3 4 10 15 15 15 11 0 3 -> 14 3 15 15 14 6 10 14 3 11 9 5 1 3 11 13 15 14 3 , 11 0 6 10 15 ->= 11 0 6 10 15 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 15 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15 }, it remains to prove termination of the 76-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 9 8 12 13 14 6 10 4 8 9 10 11 0 6 7 8 12 9 8 -> 9 8 9 10 14 3 11 12 13 4 8 0 2 9 8 9 7 7 8 , 9 7 8 12 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 12 13 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 13 4 5 1 1 2 12 9 8 0 6 7 5 6 8 , 12 0 6 10 11 ->= 12 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 9 8 12 13 14 6 10 4 8 9 10 11 0 6 7 8 12 9 7 -> 9 8 9 10 14 3 11 12 13 4 8 0 2 9 8 9 7 7 7 , 9 7 8 12 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 12 13 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 13 4 5 1 1 2 12 9 8 0 6 7 5 6 7 , 12 0 6 10 4 ->= 12 0 6 10 4 , 9 5 1 1 2 9 7 7 5 2 9 8 12 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 12 12 9 5 6 7 7 5 1 , 9 7 8 12 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 9 10 4 7 7 10 11 13 14 2 13 4 5 1 6 8 9 10 14 -> 9 7 5 1 2 0 6 10 15 11 13 15 4 7 7 8 9 10 14 , 12 0 6 10 14 ->= 12 0 6 10 14 , 12 0 6 10 15 ->= 12 0 6 10 15 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 7 8 12 13 14 6 10 4 8 9 10 11 0 6 7 8 12 9 8 -> 7 8 9 10 14 3 11 12 13 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 12 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 12 12 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 12 13 14 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 12 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 12 13 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 13 4 5 1 1 2 12 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 12 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 12 13 14 6 10 4 8 9 10 11 0 6 7 8 12 9 7 -> 7 8 9 10 14 3 11 12 13 4 8 0 2 9 8 9 7 7 7 , 7 7 8 12 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 12 13 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 13 4 5 1 1 2 12 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 12 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 12 13 14 6 10 4 8 9 10 11 0 6 7 8 12 9 5 -> 7 8 9 10 14 3 11 12 13 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 12 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 12 12 9 5 6 7 7 5 1 , 7 7 8 12 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 12 13 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 13 4 5 1 1 2 12 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 12 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 7 10 4 7 7 10 11 13 14 2 13 4 5 1 6 8 9 10 14 -> 7 7 5 1 2 0 6 10 15 11 13 15 4 7 7 8 9 10 14 , 8 0 6 10 14 ->= 8 0 6 10 14 , 7 8 12 13 14 6 10 4 8 9 10 11 0 6 7 8 12 9 10 -> 7 8 9 10 14 3 11 12 13 4 8 0 2 9 8 9 7 7 10 , 7 7 8 12 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 12 13 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 13 4 5 1 1 2 12 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 12 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 8 0 6 10 15 ->= 8 0 6 10 15 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 6 8 12 13 14 6 10 4 8 9 10 11 0 6 7 8 12 9 8 -> 6 8 9 10 14 3 11 12 13 4 8 0 2 9 8 9 7 7 8 , 6 7 8 12 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 12 13 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 13 4 5 1 1 2 12 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 12 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 12 13 14 6 10 4 8 9 10 11 0 6 7 8 12 9 7 -> 6 8 9 10 14 3 11 12 13 4 8 0 2 9 8 9 7 7 7 , 6 7 8 12 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 12 13 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 13 4 5 1 1 2 12 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 5 1 1 2 9 7 7 5 2 9 8 12 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 12 12 9 5 6 7 7 5 1 , 6 7 8 12 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 6 10 4 7 7 10 11 13 14 2 13 4 5 1 6 8 9 10 14 -> 6 7 5 1 2 0 6 10 15 11 13 15 4 7 7 8 9 10 14 , 2 0 6 10 14 ->= 2 0 6 10 14 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 2 0 6 10 15 ->= 2 0 6 10 15 , 14 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 14 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 14 3 14 3 4 8 0 3 14 1 3 4 10 15 15 15 11 0 2 -> 14 3 15 15 14 6 10 14 3 11 9 5 1 3 11 13 15 14 2 , 4 8 12 13 14 6 10 4 8 9 10 11 0 6 7 8 12 9 8 -> 4 8 9 10 14 3 11 12 13 4 8 0 2 9 8 9 7 7 8 , 4 7 8 12 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 12 13 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 13 4 5 1 1 2 12 9 8 0 6 7 5 6 8 , 11 0 6 10 11 ->= 11 0 6 10 11 , 14 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 14 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 4 8 12 13 14 6 10 4 8 9 10 11 0 6 7 8 12 9 7 -> 4 8 9 10 14 3 11 12 13 4 8 0 2 9 8 9 7 7 7 , 4 7 8 12 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 12 13 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 13 4 5 1 1 2 12 9 8 0 6 7 5 6 7 , 11 0 6 10 4 ->= 11 0 6 10 4 , 4 5 1 1 2 9 7 7 5 2 9 8 12 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 12 12 9 5 6 7 7 5 1 , 4 7 8 12 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 4 10 4 7 7 10 11 13 14 2 13 4 5 1 6 8 9 10 14 -> 4 7 5 1 2 0 6 10 15 11 13 15 4 7 7 8 9 10 14 , 11 0 6 10 14 ->= 11 0 6 10 14 , 14 3 14 3 4 8 0 3 14 1 3 4 10 15 15 15 11 0 3 -> 14 3 15 15 14 6 10 14 3 11 9 5 1 3 11 13 15 14 3 , 11 0 6 10 15 ->= 11 0 6 10 15 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2: 0 is interpreted by / \ | 1 1 | | 0 1 | \ / 1 is interpreted by / \ | 1 1 | | 0 1 | \ / 2 is interpreted by / \ | 1 1 | | 0 1 | \ / 3 is interpreted by / \ | 1 1 | | 0 1 | \ / 4 is interpreted by / \ | 1 1 | | 0 1 | \ / 5 is interpreted by / \ | 1 1 | | 0 1 | \ / 6 is interpreted by / \ | 1 1 | | 0 1 | \ / 7 is interpreted by / \ | 1 1 | | 0 1 | \ / 8 is interpreted by / \ | 1 1 | | 0 1 | \ / 9 is interpreted by / \ | 1 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 0 | | 0 1 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 6->6, 7->7, 8->8, 9->9, 10->10, 11->11, 12->12, 13->13, 14->14, 15->15 }, it remains to prove termination of the 72-rule system { 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 9 8 12 13 14 6 10 4 8 9 10 11 0 6 7 8 12 9 8 -> 9 8 9 10 14 3 11 12 13 4 8 0 2 9 8 9 7 7 8 , 9 7 8 12 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 9 7 5 2 0 6 8 12 13 11 9 5 1 6 5 6 5 6 8 -> 9 7 5 2 13 4 5 1 1 2 12 9 8 0 6 7 5 6 8 , 12 0 6 10 11 ->= 12 0 6 10 11 , 0 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 0 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 9 8 12 13 14 6 10 4 8 9 10 11 0 6 7 8 12 9 7 -> 9 8 9 10 14 3 11 12 13 4 8 0 2 9 8 9 7 7 7 , 9 7 8 12 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 9 7 5 2 0 6 8 12 13 11 9 5 1 6 5 6 5 6 7 -> 9 7 5 2 13 4 5 1 1 2 12 9 8 0 6 7 5 6 7 , 12 0 6 10 4 ->= 12 0 6 10 4 , 9 5 1 1 2 9 7 7 5 2 9 8 12 9 7 7 7 5 1 -> 9 7 7 7 5 1 6 8 0 2 12 12 9 5 6 7 7 5 1 , 9 7 8 12 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 9 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 12 0 6 10 14 ->= 12 0 6 10 14 , 12 0 6 10 15 ->= 12 0 6 10 15 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 7 8 12 13 14 6 10 4 8 9 10 11 0 6 7 8 12 9 8 -> 7 8 9 10 14 3 11 12 13 4 8 0 2 9 8 9 7 7 8 , 7 5 1 1 2 9 7 7 5 2 9 8 12 9 7 7 7 5 2 -> 7 7 7 7 5 1 6 8 0 2 12 12 9 5 6 7 7 5 2 , 7 5 6 7 7 8 9 5 6 10 11 12 13 14 6 7 5 3 11 -> 8 9 8 9 5 3 4 7 5 3 4 7 5 3 11 9 5 6 8 , 7 7 8 12 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 7 7 5 2 0 6 8 12 13 11 9 5 1 6 5 6 5 6 8 -> 7 7 5 2 13 4 5 1 1 2 12 9 8 0 6 7 5 6 8 , 7 7 7 7 5 1 2 0 1 6 7 8 12 0 6 7 5 1 2 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 8 0 6 10 11 ->= 8 0 6 10 11 , 5 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 5 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 7 8 12 13 14 6 10 4 8 9 10 11 0 6 7 8 12 9 7 -> 7 8 9 10 14 3 11 12 13 4 8 0 2 9 8 9 7 7 7 , 7 7 8 12 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 7 7 5 2 0 6 8 12 13 11 9 5 1 6 5 6 5 6 7 -> 7 7 5 2 13 4 5 1 1 2 12 9 8 0 6 7 5 6 7 , 7 7 7 7 5 1 2 0 1 6 7 8 12 0 6 7 5 1 6 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 6 , 8 0 6 10 4 ->= 8 0 6 10 4 , 7 8 12 13 14 6 10 4 8 9 10 11 0 6 7 8 12 9 5 -> 7 8 9 10 14 3 11 12 13 4 8 0 2 9 8 9 7 7 5 , 7 5 1 1 2 9 7 7 5 2 9 8 12 9 7 7 7 5 1 -> 7 7 7 7 5 1 6 8 0 2 12 12 9 5 6 7 7 5 1 , 7 7 8 12 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 7 7 5 2 0 6 8 12 13 11 9 5 1 6 5 6 5 6 5 -> 7 7 5 2 13 4 5 1 1 2 12 9 8 0 6 7 5 6 5 , 7 7 7 7 5 1 2 0 1 6 7 8 12 0 6 7 5 1 1 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 1 , 8 0 6 10 14 ->= 8 0 6 10 14 , 7 8 12 13 14 6 10 4 8 9 10 11 0 6 7 8 12 9 10 -> 7 8 9 10 14 3 11 12 13 4 8 0 2 9 8 9 7 7 10 , 7 7 8 12 9 5 1 6 5 6 8 0 6 7 7 7 7 7 10 -> 7 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 10 , 7 7 5 2 0 6 8 12 13 11 9 5 1 6 5 6 5 6 10 -> 7 7 5 2 13 4 5 1 1 2 12 9 8 0 6 7 5 6 10 , 7 7 7 7 5 1 2 0 1 6 7 8 12 0 6 7 5 1 3 -> 8 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 3 , 8 0 6 10 15 ->= 8 0 6 10 15 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 6 8 12 13 14 6 10 4 8 9 10 11 0 6 7 8 12 9 8 -> 6 8 9 10 14 3 11 12 13 4 8 0 2 9 8 9 7 7 8 , 6 7 8 12 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 6 7 5 2 0 6 8 12 13 11 9 5 1 6 5 6 5 6 8 -> 6 7 5 2 13 4 5 1 1 2 12 9 8 0 6 7 5 6 8 , 6 7 7 7 5 1 2 0 1 6 7 8 12 0 6 7 5 1 2 -> 2 9 5 6 8 9 8 9 7 5 6 7 7 5 1 1 1 1 2 , 2 0 6 10 11 ->= 2 0 6 10 11 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 6 8 12 13 14 6 10 4 8 9 10 11 0 6 7 8 12 9 7 -> 6 8 9 10 14 3 11 12 13 4 8 0 2 9 8 9 7 7 7 , 6 7 8 12 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 6 7 5 2 0 6 8 12 13 11 9 5 1 6 5 6 5 6 7 -> 6 7 5 2 13 4 5 1 1 2 12 9 8 0 6 7 5 6 7 , 2 0 6 10 4 ->= 2 0 6 10 4 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 5 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 5 , 6 5 1 1 2 9 7 7 5 2 9 8 12 9 7 7 7 5 1 -> 6 7 7 7 5 1 6 8 0 2 12 12 9 5 6 7 7 5 1 , 6 7 8 12 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 6 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 2 0 6 10 14 ->= 2 0 6 10 14 , 1 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 10 -> 1 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 10 , 2 0 6 10 15 ->= 2 0 6 10 15 , 14 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 8 -> 14 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 8 , 14 3 14 3 4 8 0 3 14 1 3 4 10 15 15 15 11 0 2 -> 14 3 15 15 14 6 10 14 3 11 9 5 1 3 11 13 15 14 2 , 4 8 12 13 14 6 10 4 8 9 10 11 0 6 7 8 12 9 8 -> 4 8 9 10 14 3 11 12 13 4 8 0 2 9 8 9 7 7 8 , 4 7 8 12 9 5 1 6 5 6 8 0 6 7 7 7 7 7 8 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 8 , 4 7 5 2 0 6 8 12 13 11 9 5 1 6 5 6 5 6 8 -> 4 7 5 2 13 4 5 1 1 2 12 9 8 0 6 7 5 6 8 , 11 0 6 10 11 ->= 11 0 6 10 11 , 14 1 1 1 2 0 3 4 5 1 6 7 8 9 7 10 11 9 7 -> 14 1 1 6 10 11 9 7 5 1 1 6 10 11 0 6 8 9 7 , 4 8 12 13 14 6 10 4 8 9 10 11 0 6 7 8 12 9 7 -> 4 8 9 10 14 3 11 12 13 4 8 0 2 9 8 9 7 7 7 , 4 7 8 12 9 5 1 6 5 6 8 0 6 7 7 7 7 7 7 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 7 , 4 7 5 2 0 6 8 12 13 11 9 5 1 6 5 6 5 6 7 -> 4 7 5 2 13 4 5 1 1 2 12 9 8 0 6 7 5 6 7 , 11 0 6 10 4 ->= 11 0 6 10 4 , 4 5 1 1 2 9 7 7 5 2 9 8 12 9 7 7 7 5 1 -> 4 7 7 7 5 1 6 8 0 2 12 12 9 5 6 7 7 5 1 , 4 7 8 12 9 5 1 6 5 6 8 0 6 7 7 7 7 7 5 -> 4 7 7 7 5 1 2 9 5 1 6 7 8 9 8 9 7 7 5 , 11 0 6 10 14 ->= 11 0 6 10 14 , 14 3 14 3 4 8 0 3 14 1 3 4 10 15 15 15 11 0 3 -> 14 3 15 15 14 6 10 14 3 11 9 5 1 3 11 13 15 14 3 , 11 0 6 10 15 ->= 11 0 6 10 15 } 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 5 | | 0 1 | \ / 1 is interpreted by / \ | 1 0 | | 0 1 | \ / 2 is interpreted by / \ | 1 8 | | 0 1 | \ / 3 is interpreted by / \ | 1 0 | | 0 1 | \ / 4 is interpreted by / \ | 1 0 | | 0 1 | \ / 5 is interpreted by / \ | 1 8 | | 0 1 | \ / 6 is interpreted by / \ | 1 0 | | 0 1 | \ / 7 is interpreted by / \ | 1 0 | | 0 1 | \ / 8 is interpreted by / \ | 1 0 | | 0 1 | \ / 9 is interpreted by / \ | 1 0 | | 0 1 | \ / 10 is interpreted by / \ | 1 6 | | 0 1 | \ / 11 is interpreted by / \ | 1 1 | | 0 1 | \ / 12 is interpreted by / \ | 1 3 | | 0 1 | \ / 13 is interpreted by / \ | 1 0 | | 0 1 | \ / 14 is interpreted by / \ | 1 0 | | 0 1 | \ / 15 is interpreted by / \ | 1 0 | | 0 1 | \ / After renaming modulo { 9->0, 7->1, 8->2, 12->3, 5->4, 1->5, 6->6, 0->7, 2->8, 10->9, 11->10, 4->11, 14->12, 15->13 }, it remains to prove termination of the 34-rule system { 0 1 2 3 0 4 5 6 4 6 2 7 6 1 1 1 1 1 2 -> 0 1 1 1 4 5 8 0 4 5 6 1 2 0 2 0 1 1 2 , 3 7 6 9 10 ->= 3 7 6 9 10 , 0 1 2 3 0 4 5 6 4 6 2 7 6 1 1 1 1 1 1 -> 0 1 1 1 4 5 8 0 4 5 6 1 2 0 2 0 1 1 1 , 3 7 6 9 11 ->= 3 7 6 9 11 , 0 4 5 5 8 0 1 1 4 8 0 2 3 0 1 1 1 4 5 -> 0 1 1 1 4 5 6 2 7 8 3 3 0 4 6 1 1 4 5 , 0 1 2 3 0 4 5 6 4 6 2 7 6 1 1 1 1 1 4 -> 0 1 1 1 4 5 8 0 4 5 6 1 2 0 2 0 1 1 4 , 3 7 6 9 12 ->= 3 7 6 9 12 , 3 7 6 9 13 ->= 3 7 6 9 13 , 1 4 5 5 8 0 1 1 4 8 0 2 3 0 1 1 1 4 8 -> 1 1 1 1 4 5 6 2 7 8 3 3 0 4 6 1 1 4 8 , 1 1 2 3 0 4 5 6 4 6 2 7 6 1 1 1 1 1 2 -> 1 1 1 1 4 5 8 0 4 5 6 1 2 0 2 0 1 1 2 , 2 7 6 9 10 ->= 2 7 6 9 10 , 1 1 2 3 0 4 5 6 4 6 2 7 6 1 1 1 1 1 1 -> 1 1 1 1 4 5 8 0 4 5 6 1 2 0 2 0 1 1 1 , 2 7 6 9 11 ->= 2 7 6 9 11 , 1 4 5 5 8 0 1 1 4 8 0 2 3 0 1 1 1 4 5 -> 1 1 1 1 4 5 6 2 7 8 3 3 0 4 6 1 1 4 5 , 1 1 2 3 0 4 5 6 4 6 2 7 6 1 1 1 1 1 4 -> 1 1 1 1 4 5 8 0 4 5 6 1 2 0 2 0 1 1 4 , 2 7 6 9 12 ->= 2 7 6 9 12 , 1 1 2 3 0 4 5 6 4 6 2 7 6 1 1 1 1 1 9 -> 1 1 1 1 4 5 8 0 4 5 6 1 2 0 2 0 1 1 9 , 2 7 6 9 13 ->= 2 7 6 9 13 , 6 1 2 3 0 4 5 6 4 6 2 7 6 1 1 1 1 1 2 -> 6 1 1 1 4 5 8 0 4 5 6 1 2 0 2 0 1 1 2 , 8 7 6 9 10 ->= 8 7 6 9 10 , 6 1 2 3 0 4 5 6 4 6 2 7 6 1 1 1 1 1 1 -> 6 1 1 1 4 5 8 0 4 5 6 1 2 0 2 0 1 1 1 , 8 7 6 9 11 ->= 8 7 6 9 11 , 6 4 5 5 8 0 1 1 4 8 0 2 3 0 1 1 1 4 5 -> 6 1 1 1 4 5 6 2 7 8 3 3 0 4 6 1 1 4 5 , 6 1 2 3 0 4 5 6 4 6 2 7 6 1 1 1 1 1 4 -> 6 1 1 1 4 5 8 0 4 5 6 1 2 0 2 0 1 1 4 , 8 7 6 9 12 ->= 8 7 6 9 12 , 8 7 6 9 13 ->= 8 7 6 9 13 , 11 1 2 3 0 4 5 6 4 6 2 7 6 1 1 1 1 1 2 -> 11 1 1 1 4 5 8 0 4 5 6 1 2 0 2 0 1 1 2 , 10 7 6 9 10 ->= 10 7 6 9 10 , 11 1 2 3 0 4 5 6 4 6 2 7 6 1 1 1 1 1 1 -> 11 1 1 1 4 5 8 0 4 5 6 1 2 0 2 0 1 1 1 , 10 7 6 9 11 ->= 10 7 6 9 11 , 11 4 5 5 8 0 1 1 4 8 0 2 3 0 1 1 1 4 5 -> 11 1 1 1 4 5 6 2 7 8 3 3 0 4 6 1 1 4 5 , 11 1 2 3 0 4 5 6 4 6 2 7 6 1 1 1 1 1 4 -> 11 1 1 1 4 5 8 0 4 5 6 1 2 0 2 0 1 1 4 , 10 7 6 9 12 ->= 10 7 6 9 12 , 10 7 6 9 13 ->= 10 7 6 9 13 } 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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, 7->1, 6->2, 9->3, 10->4, 0->5, 1->6, 2->7, 4->8, 5->9, 8->10, 11->11, 12->12, 13->13 }, it remains to prove termination of the 33-rule system { 0 1 2 3 4 ->= 0 1 2 3 4 , 5 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 5 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 0 1 2 3 11 ->= 0 1 2 3 11 , 5 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 5 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 5 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 8 -> 5 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 8 , 0 1 2 3 12 ->= 0 1 2 3 12 , 0 1 2 3 13 ->= 0 1 2 3 13 , 6 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 10 -> 6 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 10 , 6 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 7 -> 6 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 7 , 7 1 2 3 4 ->= 7 1 2 3 4 , 6 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 6 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 7 1 2 3 11 ->= 7 1 2 3 11 , 6 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 6 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 6 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 8 -> 6 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 8 , 7 1 2 3 12 ->= 7 1 2 3 12 , 6 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 3 -> 6 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 3 , 7 1 2 3 13 ->= 7 1 2 3 13 , 2 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 7 -> 2 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 7 , 10 1 2 3 4 ->= 10 1 2 3 4 , 2 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 2 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 10 1 2 3 11 ->= 10 1 2 3 11 , 2 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 2 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 2 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 8 -> 2 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 8 , 10 1 2 3 12 ->= 10 1 2 3 12 , 10 1 2 3 13 ->= 10 1 2 3 13 , 11 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 7 -> 11 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 7 , 4 1 2 3 4 ->= 4 1 2 3 4 , 11 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 11 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 4 1 2 3 11 ->= 4 1 2 3 11 , 11 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 11 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 11 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 8 -> 11 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 8 , 4 1 2 3 12 ->= 4 1 2 3 12 , 4 1 2 3 13 ->= 4 1 2 3 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 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 | \ / 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 }, it remains to prove termination of the 32-rule system { 0 1 2 3 4 ->= 0 1 2 3 4 , 5 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 5 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 0 1 2 3 11 ->= 0 1 2 3 11 , 5 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 5 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 5 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 8 -> 5 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 8 , 0 1 2 3 12 ->= 0 1 2 3 12 , 0 1 2 3 13 ->= 0 1 2 3 13 , 6 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 7 -> 6 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 7 , 7 1 2 3 4 ->= 7 1 2 3 4 , 6 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 6 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 7 1 2 3 11 ->= 7 1 2 3 11 , 6 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 6 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 6 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 8 -> 6 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 8 , 7 1 2 3 12 ->= 7 1 2 3 12 , 6 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 3 -> 6 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 3 , 7 1 2 3 13 ->= 7 1 2 3 13 , 2 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 7 -> 2 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 7 , 10 1 2 3 4 ->= 10 1 2 3 4 , 2 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 2 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 10 1 2 3 11 ->= 10 1 2 3 11 , 2 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 2 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 2 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 8 -> 2 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 8 , 10 1 2 3 12 ->= 10 1 2 3 12 , 10 1 2 3 13 ->= 10 1 2 3 13 , 11 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 7 -> 11 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 7 , 4 1 2 3 4 ->= 4 1 2 3 4 , 11 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 11 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 4 1 2 3 11 ->= 4 1 2 3 11 , 11 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 11 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 11 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 8 -> 11 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 8 , 4 1 2 3 12 ->= 4 1 2 3 12 , 4 1 2 3 13 ->= 4 1 2 3 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 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 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 }, it remains to prove termination of the 31-rule system { 0 1 2 3 4 ->= 0 1 2 3 4 , 5 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 5 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 0 1 2 3 11 ->= 0 1 2 3 11 , 5 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 5 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 5 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 8 -> 5 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 8 , 0 1 2 3 12 ->= 0 1 2 3 12 , 0 1 2 3 13 ->= 0 1 2 3 13 , 7 1 2 3 4 ->= 7 1 2 3 4 , 6 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 6 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 7 1 2 3 11 ->= 7 1 2 3 11 , 6 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 6 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 6 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 8 -> 6 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 8 , 7 1 2 3 12 ->= 7 1 2 3 12 , 6 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 3 -> 6 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 3 , 7 1 2 3 13 ->= 7 1 2 3 13 , 2 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 7 -> 2 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 7 , 10 1 2 3 4 ->= 10 1 2 3 4 , 2 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 2 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 10 1 2 3 11 ->= 10 1 2 3 11 , 2 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 2 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 2 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 8 -> 2 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 8 , 10 1 2 3 12 ->= 10 1 2 3 12 , 10 1 2 3 13 ->= 10 1 2 3 13 , 11 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 7 -> 11 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 7 , 4 1 2 3 4 ->= 4 1 2 3 4 , 11 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 11 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 4 1 2 3 11 ->= 4 1 2 3 11 , 11 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 11 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 11 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 8 -> 11 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 8 , 4 1 2 3 12 ->= 4 1 2 3 12 , 4 1 2 3 13 ->= 4 1 2 3 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 }, it remains to prove termination of the 30-rule system { 0 1 2 3 4 ->= 0 1 2 3 4 , 5 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 5 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 0 1 2 3 11 ->= 0 1 2 3 11 , 5 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 5 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 5 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 8 -> 5 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 8 , 0 1 2 3 12 ->= 0 1 2 3 12 , 0 1 2 3 13 ->= 0 1 2 3 13 , 7 1 2 3 4 ->= 7 1 2 3 4 , 6 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 6 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 7 1 2 3 11 ->= 7 1 2 3 11 , 6 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 6 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 6 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 8 -> 6 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 8 , 7 1 2 3 12 ->= 7 1 2 3 12 , 7 1 2 3 13 ->= 7 1 2 3 13 , 2 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 7 -> 2 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 7 , 10 1 2 3 4 ->= 10 1 2 3 4 , 2 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 2 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 10 1 2 3 11 ->= 10 1 2 3 11 , 2 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 2 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 2 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 8 -> 2 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 8 , 10 1 2 3 12 ->= 10 1 2 3 12 , 10 1 2 3 13 ->= 10 1 2 3 13 , 11 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 7 -> 11 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 7 , 4 1 2 3 4 ->= 4 1 2 3 4 , 11 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 11 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 4 1 2 3 11 ->= 4 1 2 3 11 , 11 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 11 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 11 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 8 -> 11 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 8 , 4 1 2 3 12 ->= 4 1 2 3 12 , 4 1 2 3 13 ->= 4 1 2 3 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 }, it remains to prove termination of the 29-rule system { 0 1 2 3 4 ->= 0 1 2 3 4 , 5 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 5 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 0 1 2 3 11 ->= 0 1 2 3 11 , 5 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 5 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 5 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 8 -> 5 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 8 , 0 1 2 3 12 ->= 0 1 2 3 12 , 0 1 2 3 13 ->= 0 1 2 3 13 , 7 1 2 3 4 ->= 7 1 2 3 4 , 6 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 6 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 7 1 2 3 11 ->= 7 1 2 3 11 , 6 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 6 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 6 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 8 -> 6 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 8 , 7 1 2 3 12 ->= 7 1 2 3 12 , 7 1 2 3 13 ->= 7 1 2 3 13 , 10 1 2 3 4 ->= 10 1 2 3 4 , 2 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 2 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 10 1 2 3 11 ->= 10 1 2 3 11 , 2 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 2 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 2 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 8 -> 2 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 8 , 10 1 2 3 12 ->= 10 1 2 3 12 , 10 1 2 3 13 ->= 10 1 2 3 13 , 11 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 7 -> 11 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 7 , 4 1 2 3 4 ->= 4 1 2 3 4 , 11 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 11 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 4 1 2 3 11 ->= 4 1 2 3 11 , 11 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 11 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 11 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 8 -> 11 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 8 , 4 1 2 3 12 ->= 4 1 2 3 12 , 4 1 2 3 13 ->= 4 1 2 3 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 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 | \ / 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 }, it remains to prove termination of the 28-rule system { 0 1 2 3 4 ->= 0 1 2 3 4 , 5 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 5 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 0 1 2 3 11 ->= 0 1 2 3 11 , 5 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 5 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 5 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 8 -> 5 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 8 , 0 1 2 3 12 ->= 0 1 2 3 12 , 0 1 2 3 13 ->= 0 1 2 3 13 , 7 1 2 3 4 ->= 7 1 2 3 4 , 6 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 6 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 7 1 2 3 11 ->= 7 1 2 3 11 , 6 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 6 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 6 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 8 -> 6 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 8 , 7 1 2 3 12 ->= 7 1 2 3 12 , 7 1 2 3 13 ->= 7 1 2 3 13 , 10 1 2 3 4 ->= 10 1 2 3 4 , 2 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 2 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 10 1 2 3 11 ->= 10 1 2 3 11 , 2 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 2 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 2 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 8 -> 2 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 8 , 10 1 2 3 12 ->= 10 1 2 3 12 , 10 1 2 3 13 ->= 10 1 2 3 13 , 4 1 2 3 4 ->= 4 1 2 3 4 , 11 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 11 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 4 1 2 3 11 ->= 4 1 2 3 11 , 11 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 11 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 11 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 8 -> 11 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 8 , 4 1 2 3 12 ->= 4 1 2 3 12 , 4 1 2 3 13 ->= 4 1 2 3 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 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 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 7 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 8 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 10 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 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 | \ / 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 }, it remains to prove termination of the 27-rule system { 0 1 2 3 4 ->= 0 1 2 3 4 , 5 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 5 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 0 1 2 3 11 ->= 0 1 2 3 11 , 5 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 5 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 5 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 8 -> 5 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 8 , 0 1 2 3 12 ->= 0 1 2 3 12 , 0 1 2 3 13 ->= 0 1 2 3 13 , 7 1 2 3 4 ->= 7 1 2 3 4 , 6 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 6 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 7 1 2 3 11 ->= 7 1 2 3 11 , 6 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 6 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 6 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 8 -> 6 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 8 , 7 1 2 3 12 ->= 7 1 2 3 12 , 7 1 2 3 13 ->= 7 1 2 3 13 , 10 1 2 3 4 ->= 10 1 2 3 4 , 2 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 2 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 10 1 2 3 11 ->= 10 1 2 3 11 , 2 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 2 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 2 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 8 -> 2 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 8 , 10 1 2 3 12 ->= 10 1 2 3 12 , 10 1 2 3 13 ->= 10 1 2 3 13 , 4 1 2 3 4 ->= 4 1 2 3 4 , 11 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 11 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 4 1 2 3 11 ->= 4 1 2 3 11 , 11 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 11 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 4 1 2 3 12 ->= 4 1 2 3 12 , 4 1 2 3 13 ->= 4 1 2 3 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 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 | \ / 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 }, it remains to prove termination of the 26-rule system { 0 1 2 3 4 ->= 0 1 2 3 4 , 5 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 5 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 0 1 2 3 11 ->= 0 1 2 3 11 , 5 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 5 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 5 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 8 -> 5 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 8 , 0 1 2 3 12 ->= 0 1 2 3 12 , 0 1 2 3 13 ->= 0 1 2 3 13 , 7 1 2 3 4 ->= 7 1 2 3 4 , 6 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 6 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 7 1 2 3 11 ->= 7 1 2 3 11 , 6 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 6 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 6 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 8 -> 6 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 8 , 7 1 2 3 12 ->= 7 1 2 3 12 , 7 1 2 3 13 ->= 7 1 2 3 13 , 10 1 2 3 4 ->= 10 1 2 3 4 , 2 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 2 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 10 1 2 3 11 ->= 10 1 2 3 11 , 2 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 2 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 2 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 8 -> 2 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 8 , 10 1 2 3 12 ->= 10 1 2 3 12 , 10 1 2 3 13 ->= 10 1 2 3 13 , 4 1 2 3 4 ->= 4 1 2 3 4 , 11 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 11 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 4 1 2 3 11 ->= 4 1 2 3 11 , 4 1 2 3 12 ->= 4 1 2 3 12 , 4 1 2 3 13 ->= 4 1 2 3 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 }, it remains to prove termination of the 25-rule system { 0 1 2 3 4 ->= 0 1 2 3 4 , 5 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 5 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 0 1 2 3 11 ->= 0 1 2 3 11 , 5 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 5 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 0 1 2 3 12 ->= 0 1 2 3 12 , 0 1 2 3 13 ->= 0 1 2 3 13 , 7 1 2 3 4 ->= 7 1 2 3 4 , 6 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 6 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 7 1 2 3 11 ->= 7 1 2 3 11 , 6 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 6 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 6 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 8 -> 6 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 8 , 7 1 2 3 12 ->= 7 1 2 3 12 , 7 1 2 3 13 ->= 7 1 2 3 13 , 10 1 2 3 4 ->= 10 1 2 3 4 , 2 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 2 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 10 1 2 3 11 ->= 10 1 2 3 11 , 2 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 2 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 2 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 8 -> 2 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 8 , 10 1 2 3 12 ->= 10 1 2 3 12 , 10 1 2 3 13 ->= 10 1 2 3 13 , 4 1 2 3 4 ->= 4 1 2 3 4 , 11 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 11 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 4 1 2 3 11 ->= 4 1 2 3 11 , 4 1 2 3 12 ->= 4 1 2 3 12 , 4 1 2 3 13 ->= 4 1 2 3 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 }, it remains to prove termination of the 24-rule system { 0 1 2 3 4 ->= 0 1 2 3 4 , 5 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 5 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 0 1 2 3 11 ->= 0 1 2 3 11 , 5 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 5 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 0 1 2 3 12 ->= 0 1 2 3 12 , 0 1 2 3 13 ->= 0 1 2 3 13 , 7 1 2 3 4 ->= 7 1 2 3 4 , 6 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 6 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 7 1 2 3 11 ->= 7 1 2 3 11 , 6 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 8 -> 6 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 8 , 7 1 2 3 12 ->= 7 1 2 3 12 , 7 1 2 3 13 ->= 7 1 2 3 13 , 10 1 2 3 4 ->= 10 1 2 3 4 , 2 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 2 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 10 1 2 3 11 ->= 10 1 2 3 11 , 2 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 2 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 2 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 8 -> 2 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 8 , 10 1 2 3 12 ->= 10 1 2 3 12 , 10 1 2 3 13 ->= 10 1 2 3 13 , 4 1 2 3 4 ->= 4 1 2 3 4 , 11 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 11 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 4 1 2 3 11 ->= 4 1 2 3 11 , 4 1 2 3 12 ->= 4 1 2 3 12 , 4 1 2 3 13 ->= 4 1 2 3 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 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 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 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 | \ / 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 }, it remains to prove termination of the 23-rule system { 0 1 2 3 4 ->= 0 1 2 3 4 , 5 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 5 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 0 1 2 3 11 ->= 0 1 2 3 11 , 5 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 5 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 0 1 2 3 12 ->= 0 1 2 3 12 , 0 1 2 3 13 ->= 0 1 2 3 13 , 7 1 2 3 4 ->= 7 1 2 3 4 , 6 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 6 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 7 1 2 3 11 ->= 7 1 2 3 11 , 7 1 2 3 12 ->= 7 1 2 3 12 , 7 1 2 3 13 ->= 7 1 2 3 13 , 10 1 2 3 4 ->= 10 1 2 3 4 , 2 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 2 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 10 1 2 3 11 ->= 10 1 2 3 11 , 2 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 2 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 2 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 8 -> 2 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 8 , 10 1 2 3 12 ->= 10 1 2 3 12 , 10 1 2 3 13 ->= 10 1 2 3 13 , 4 1 2 3 4 ->= 4 1 2 3 4 , 11 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 11 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 4 1 2 3 11 ->= 4 1 2 3 11 , 4 1 2 3 12 ->= 4 1 2 3 12 , 4 1 2 3 13 ->= 4 1 2 3 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 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 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 | \ / 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 }, it remains to prove termination of the 22-rule system { 0 1 2 3 4 ->= 0 1 2 3 4 , 5 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 5 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 0 1 2 3 11 ->= 0 1 2 3 11 , 5 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 5 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 0 1 2 3 12 ->= 0 1 2 3 12 , 0 1 2 3 13 ->= 0 1 2 3 13 , 7 1 2 3 4 ->= 7 1 2 3 4 , 6 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 6 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 7 1 2 3 11 ->= 7 1 2 3 11 , 7 1 2 3 12 ->= 7 1 2 3 12 , 7 1 2 3 13 ->= 7 1 2 3 13 , 10 1 2 3 4 ->= 10 1 2 3 4 , 2 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 2 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 10 1 2 3 11 ->= 10 1 2 3 11 , 2 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 2 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 10 1 2 3 12 ->= 10 1 2 3 12 , 10 1 2 3 13 ->= 10 1 2 3 13 , 4 1 2 3 4 ->= 4 1 2 3 4 , 11 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 11 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 4 1 2 3 11 ->= 4 1 2 3 11 , 4 1 2 3 12 ->= 4 1 2 3 12 , 4 1 2 3 13 ->= 4 1 2 3 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 2 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 3 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 4 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 5 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 6 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 1 0 0 0 0 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0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 11 is interpreted by / \ | 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 12 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 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 | \ / 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 }, it remains to prove termination of the 21-rule system { 0 1 2 3 4 ->= 0 1 2 3 4 , 5 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 5 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 0 1 2 3 11 ->= 0 1 2 3 11 , 5 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 5 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 0 1 2 3 12 ->= 0 1 2 3 12 , 0 1 2 3 13 ->= 0 1 2 3 13 , 7 1 2 3 4 ->= 7 1 2 3 4 , 6 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 6 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 7 1 2 3 11 ->= 7 1 2 3 11 , 7 1 2 3 12 ->= 7 1 2 3 12 , 7 1 2 3 13 ->= 7 1 2 3 13 , 10 1 2 3 4 ->= 10 1 2 3 4 , 2 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 2 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 10 1 2 3 11 ->= 10 1 2 3 11 , 2 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 2 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 10 1 2 3 12 ->= 10 1 2 3 12 , 10 1 2 3 13 ->= 10 1 2 3 13 , 4 1 2 3 4 ->= 4 1 2 3 4 , 4 1 2 3 11 ->= 4 1 2 3 11 , 4 1 2 3 12 ->= 4 1 2 3 12 , 4 1 2 3 13 ->= 4 1 2 3 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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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 }, it remains to prove termination of the 20-rule system { 0 1 2 3 4 ->= 0 1 2 3 4 , 5 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 5 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 0 1 2 3 11 ->= 0 1 2 3 11 , 5 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 5 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 0 1 2 3 12 ->= 0 1 2 3 12 , 0 1 2 3 13 ->= 0 1 2 3 13 , 7 1 2 3 4 ->= 7 1 2 3 4 , 6 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 6 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 7 1 2 3 11 ->= 7 1 2 3 11 , 7 1 2 3 12 ->= 7 1 2 3 12 , 7 1 2 3 13 ->= 7 1 2 3 13 , 10 1 2 3 4 ->= 10 1 2 3 4 , 2 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 2 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 10 1 2 3 11 ->= 10 1 2 3 11 , 10 1 2 3 12 ->= 10 1 2 3 12 , 10 1 2 3 13 ->= 10 1 2 3 13 , 4 1 2 3 4 ->= 4 1 2 3 4 , 4 1 2 3 11 ->= 4 1 2 3 11 , 4 1 2 3 12 ->= 4 1 2 3 12 , 4 1 2 3 13 ->= 4 1 2 3 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 1 is interpreted by / \ | 1 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0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 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 | \ / 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 }, it remains to prove termination of the 19-rule system { 0 1 2 3 4 ->= 0 1 2 3 4 , 5 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 5 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 0 1 2 3 11 ->= 0 1 2 3 11 , 5 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 5 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 0 1 2 3 12 ->= 0 1 2 3 12 , 0 1 2 3 13 ->= 0 1 2 3 13 , 7 1 2 3 4 ->= 7 1 2 3 4 , 6 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 6 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 7 1 2 3 11 ->= 7 1 2 3 11 , 7 1 2 3 12 ->= 7 1 2 3 12 , 7 1 2 3 13 ->= 7 1 2 3 13 , 10 1 2 3 4 ->= 10 1 2 3 4 , 10 1 2 3 11 ->= 10 1 2 3 11 , 10 1 2 3 12 ->= 10 1 2 3 12 , 10 1 2 3 13 ->= 10 1 2 3 13 , 4 1 2 3 4 ->= 4 1 2 3 4 , 4 1 2 3 11 ->= 4 1 2 3 11 , 4 1 2 3 12 ->= 4 1 2 3 12 , 4 1 2 3 13 ->= 4 1 2 3 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 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 | \ / 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 }, it remains to prove termination of the 18-rule system { 0 1 2 3 4 ->= 0 1 2 3 4 , 5 6 7 0 5 8 9 2 8 2 7 1 2 6 6 6 6 6 6 -> 5 6 6 6 8 9 10 5 8 9 2 6 7 5 7 5 6 6 6 , 0 1 2 3 11 ->= 0 1 2 3 11 , 5 8 9 9 10 5 6 6 8 10 5 7 0 5 6 6 6 8 9 -> 5 6 6 6 8 9 2 7 1 10 0 0 5 8 2 6 6 8 9 , 0 1 2 3 12 ->= 0 1 2 3 12 , 0 1 2 3 13 ->= 0 1 2 3 13 , 7 1 2 3 4 ->= 7 1 2 3 4 , 7 1 2 3 11 ->= 7 1 2 3 11 , 7 1 2 3 12 ->= 7 1 2 3 12 , 7 1 2 3 13 ->= 7 1 2 3 13 , 10 1 2 3 4 ->= 10 1 2 3 4 , 10 1 2 3 11 ->= 10 1 2 3 11 , 10 1 2 3 12 ->= 10 1 2 3 12 , 10 1 2 3 13 ->= 10 1 2 3 13 , 4 1 2 3 4 ->= 4 1 2 3 4 , 4 1 2 3 11 ->= 4 1 2 3 11 , 4 1 2 3 12 ->= 4 1 2 3 12 , 4 1 2 3 13 ->= 4 1 2 3 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 20: 0 is interpreted by / \ | 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | | 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 | \ / 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 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 11->5, 5->6, 8->7, 9->8, 10->9, 6->10, 7->11, 12->12, 13->13 }, it remains to prove termination of the 17-rule system { 0 1 2 3 4 ->= 0 1 2 3 4 , 0 1 2 3 5 ->= 0 1 2 3 5 , 6 7 8 8 9 6 10 10 7 9 6 11 0 6 10 10 10 7 8 -> 6 10 10 10 7 8 2 11 1 9 0 0 6 7 2 10 10 7 8 , 0 1 2 3 12 ->= 0 1 2 3 12 , 0 1 2 3 13 ->= 0 1 2 3 13 , 11 1 2 3 4 ->= 11 1 2 3 4 , 11 1 2 3 5 ->= 11 1 2 3 5 , 11 1 2 3 12 ->= 11 1 2 3 12 , 11 1 2 3 13 ->= 11 1 2 3 13 , 9 1 2 3 4 ->= 9 1 2 3 4 , 9 1 2 3 5 ->= 9 1 2 3 5 , 9 1 2 3 12 ->= 9 1 2 3 12 , 9 1 2 3 13 ->= 9 1 2 3 13 , 4 1 2 3 4 ->= 4 1 2 3 4 , 4 1 2 3 5 ->= 4 1 2 3 5 , 4 1 2 3 12 ->= 4 1 2 3 12 , 4 1 2 3 13 ->= 4 1 2 3 13 } The system was filtered by the following matrix interpretation of type E_J with J = {1,...,2} and dimension 2: 0 is interpreted by / \ | 1 0 | | 0 1 | \ / 1 is interpreted by / \ | 1 0 | | 0 1 | \ / 2 is interpreted by / \ | 1 0 | | 0 1 | \ / 3 is interpreted by / \ | 1 0 | | 0 1 | \ / 4 is interpreted by / \ | 1 0 | | 0 1 | \ / 5 is interpreted by / \ | 1 0 | | 0 1 | \ / 6 is interpreted by / \ | 1 1 | | 0 1 | \ / 7 is interpreted by / \ | 1 0 | | 0 1 | \ / 8 is interpreted by / \ | 1 1 | | 0 1 | \ / 9 is interpreted by / \ | 1 1 | | 0 1 | \ / 10 is interpreted by / \ | 1 0 | | 0 1 | \ / 11 is interpreted by / \ | 1 0 | | 0 1 | \ / 12 is interpreted by / \ | 1 0 | | 0 1 | \ / 13 is interpreted by / \ | 1 0 | | 0 1 | \ / After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5, 12->6, 13->7, 11->8, 9->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 6 ->= 0 1 2 3 6 , 0 1 2 3 7 ->= 0 1 2 3 7 , 8 1 2 3 4 ->= 8 1 2 3 4 , 8 1 2 3 5 ->= 8 1 2 3 5 , 8 1 2 3 6 ->= 8 1 2 3 6 , 8 1 2 3 7 ->= 8 1 2 3 7 , 9 1 2 3 4 ->= 9 1 2 3 4 , 9 1 2 3 5 ->= 9 1 2 3 5 , 9 1 2 3 6 ->= 9 1 2 3 6 , 9 1 2 3 7 ->= 9 1 2 3 7 , 4 1 2 3 4 ->= 4 1 2 3 4 , 4 1 2 3 5 ->= 4 1 2 3 5 , 4 1 2 3 6 ->= 4 1 2 3 6 , 4 1 2 3 7 ->= 4 1 2 3 7 } The system is trivially terminating.