# Character: X3+X4 # Comment: perm rep on 3888 pts, LLL'ed # Ind: 0 # Irred-dim: 64 # Ring: Z # Sparsity: 63% # Maximum absolute entry: 81 # Checker result: pass # Conjugacy class representative result: pass local a, A, b, B, c, C, w, W, i, result, delta, idmat; result := rec(); w := E(3); W := E(3)^2; a := E(5)+E(5)^4; A := -1-a; # b5, b5* b := E(7)+E(7)^2+E(7)^4; B := -1-b; # b7, b7** c := E(11)+E(11)^3+E(11)^4+E(11)^5+E(11)^9; C := -1-c; # b11, b11** i := E(4); result.comment := "G23 as 128 x 128 matrices\n"; result.generators := [ [[0,-1,-4,1,-4,-1,4,5,-7,4,-7,2,-2,-4,-2,2,-4,-3,-2,-1,2,-8,-2,-1, -5,-3,-3,-3,-5,-8,1,-2,8,4,-3,3,0,-1,0,-7,-5,-11,-3,-5,-3,-2,2,1, 2,-1,1,-1,3,-5,3,-5,1,-10,3,0,2,5,0,4,1,2,0,-2,0,-3,-3,2,-2,4,3, 2,12,3,2,2,-6,-2,1,7,0,4,-5,-2,-1,-2,-2,2,2,-5,4,0,5,0,0,3,1,-3, 5,3,-3,-4,3,1,3,-4,2,0,-1,-2,-1,-3,0,2,-3,-1,4,1,-3,0,3,0,0,3], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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