# Character: X5 # Comment: Young rep 66 # Ind: 1 # Ring: Z # Sparsity: 92% # Maximum absolute entry: 3 # Checker result: pass # Conjugacy class representative result: pass local b, B, w, W, i, result, delta, idmat; result := rec(); w := E(3); W := E(3)^2; b := E(7)+E(7)^2+E(7)^4; B := -1-b; # b7, b7** i := E(4); result.comment := "A12 as 132 x 132 matrices\n"; result.generators := [ [[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,0,0,0,-1,0,1,0, 0,0,0,0,-1,1,1,-1,0,0,0,0,0,0,0,0,0,0,1,0,-1,0,0,0,-1,0,1,-1,1,0, 0,0,0,0,0,-1,0,0,1,0,0,0,0,-1,1,0,1,-1,0,0,0,0,0,-1,0,0,-1,1,0,1, -1,0,0,0,0,0,0,0,1], [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,-1,0,1,0,0, 0,0,0,0,0,0,0,0,-1,1,1,-1,0,0,0,0,0,0,0,0,0,0,1,-1,-1,1,-1,0,0,0, 0,1,0,0,-1,0,0,1,0,0,0,0,-1,1,0,0,0,0,0,0,1,-1,-1,0,0,-1,1,0,0,0, 0,0,-1,1,-1,0,0,2], 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