# Character: X9 # Comment: perm rep on 378b pts, LLL'ed # Ind: 1 # Ring: Z # Sparsity: 91% # Maximum absolute entry: 4 # 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 104 x 104 matrices\n"; result.generators := [ [[-2,2,0,0,-1,1,1,1,1,1,-1,-1,1,-2,0,0,1,2,0,1,1,1,-2,-1,0,1,-1,0, -2,0,2,1,-1,0,0,1,1,-2,1,0,-1,0,1,0,2,-2,-2,-1,-2,-1,1,0,2,1,0,-2, -1,1,0,-1,-2,-1,2,2,0,0,1,1,0,0,0,0,0,0,-1,-1,1,0,1,0,0,0,1,0,1, 1,-1,0,0,-1,-1,-1,-2,0,0,-2,-2,-1,1,1,-1,0,0,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0], 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1,2,2,0,-2,1,1,-2,1,-1,-1,0,0,-1,-1,-1,0,0,-1,-1,-2,-2,0,-1,0,-1, 0,0,0,1,1,0,0,0,0,-3,1,2,0,0,0,1,1,1,-1], [2,-1,-1,-1,0,-2,0,0,-2,-2,2,1,-1,2,0,1,0,-1,1,-1,-3,-1,2,0,0,-1,1, 0,2,-1,-2,-1,2,1,1,-1,-1,3,-1,-1,1,-1,0,0,-3,2,2,1,2,0,0,0,-2,-1, 2,2,1,-2,1,2,3,2,-2,-3,-1,0,-2,-1,-1,-1,0,1,0,-1,1,1,-2,0,-2,1,-2, 1,-2,1,-2,0,0,0,1,2,0,0,2,-1,-1,3,3,1,-1,-1,1,0,0,0], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0], [-3,1,-1,0,-1,1,0,2,2,2,-1,0,1,-2,0,-1,1,0,0,2,1,1,-2,-1,0,1,-2,1, -2,0,1,1,-2,1,0,1,2,-4,3,0,-2,0,2,-1,4,-2,-3,-1,-2,0,1,-1,3,1,-2, -2,-2,0,0,-2,-4,-2,2,4,0,0,2,1,1,1,-1,0,1,1,-1,0,1,1,1,1,1,1,2,0, 2,1,-1,0,-1,-2,0,-1,-3,1,2,-3,-3,-1,0,2,-2,0,-1,0], [4,-1,0,-1,0,-1,-1,-2,-1,-2,1,2,-1,3,0,1,-1,0,0,0,0,-2,1,2,-1,-3,2, -1,3,-1,-1,-1,0,-1,0,-2,-2,3,-2,0,0,0,-2,3,-3,1,2,0,2,-1,-2,1,-3, 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