# Character: X10 # Comment: perm rep on 120, LLL'ed # Ind: 1 # Ring: Z # Sparsity: 81% # Maximum absolute entry: 5 # 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 := "L34 as 64 x 64 matrices\n"; result.generators := [ [[-1,1,0,0,-1,1,0,0,1,0,-1,1,0,0,0,0,-1,-1,0,1,0,-1,0,-1,0,0,1,0,0, -1,0,0,0,-1,-1,-1,1,0,0,0,-1,0,1,0,-1,-1,-1,0,-1,0,0,0,1,0,0,0,0, -1,0,0,-1,-1,0,1], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], 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[-1,0,-1,0,0,1,-1,0,0,0,0,0,-1,1,0,1,-1,-1,0,0,1,1,0,0,0,-1,0,0,0, 0,1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-1,0,0,0,0, 0,0,0,0], [0,1,-1,1,0,-1,-1,3,1,-1,1,-1,-1,-1,0,0,-2,2,2,1,2,0,1,0,-3,3,2,-2, 1,0,-1,-1,1,0,0,0,3,2,-1,-1,2,1,0,-1,-2,1,2,1,-1,3,-1,1,-1,0,1,0, -2,0,0,-1,0,-1,-1,-1], [1,2,1,0,-2,1,1,0,2,0,1,-1,1,-1,0,-1,1,-1,-1,2,-1,0,0,0,1,1,-1,0,0, 1,0,0,0,1,0,-1,-1,1,1,0,0,0,1,1,-1,0,-1,0,-1,-1,0,0,-1,-1,1,1,2, -2,-1,0,0,0,1,0]]]; return result;