# Character: X5 # Comment: perm rep on 702 pts # Ind: 1 # Ring: Z # Sparsity: 88% # Maximum absolute entry: 6 # 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 78 x 78 matrices\n"; result.generators := [ [[-1,0,-1,0,0,0,0,-1,-1,0,-1,0,-1,-1,-1,0,0,0,-1,-1,-1,0,-1,-1,-1, -1,-1,0,-1,-1,-1,-1,-1,-1,-1,0,-1,-1,0,-1,0,0,0,0,0,-1,-1,-1,0,-1, 0,0,-1,-1,0,0,0,0,-1,-1,-1,1,0,0,-1,0,-1,2,-1,-1,0,-1,-1,0,0,0,0, 0], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0], [0,-1,0,-1,-1,-1,0,0,-1,0,0,0,-1,0,-1,-1,0,-1,0,-1,0,-1,0,0,-1,0,-1, 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-3,0,-3,-2,1,0,-2,-1,0,-1,-1,-1,-4,0,-2,-4,2,1,-1,0,0,-2,-3,-1,-2, -1,-2,-1,0,-4,-3,0,0,0,0,0,-4,4,0,0,-1,-1,-1,3,-4,0,1,-4,0,1,1,0, 0,1]]]; return result;