# Character: X3 # Comment: perm rep on 2664 pts, LLL'ed # Ind: 1 # Ring: Z # Sparsity: 77% # Maximum absolute entry: 18 # 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 := "U311 as 111 x 111 matrices\n"; result.generators := [ [[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, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0], [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, 0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0,0,0], 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[0,0,-2,2,0,1,0,0,0,-4,-2,0,0,1,0,2,-4,0,1,2,1,1,0,0,0,-3,1,1,0,0, 1,-2,2,1,1,-2,1,0,-1,1,0,-1,1,-1,-2,1,-1,-1,-1,-3,2,1,1,-2,0,0,0, -1,1,2,-1,-3,0,0,0,-3,0,0,-1,-3,0,1,0,-3,-3,2,-2,-2,0,1,0,0,-1,1, -1,-2,-1,-1,-1,0,0,2,1,-2,1,1,1,-1,-1,-1,0,2,0,-1,1,0,1,-2,-1,0, -2], [4,-5,4,-5,-9,3,1,0,-8,6,-2,0,4,-3,-2,-4,5,0,-3,-1,1,-2,2,-1,4,5,-3, -7,1,1,8,2,-1,-8,-5,2,4,-4,7,4,-3,3,-2,6,5,-4,10,2,-2,-1,-1,7,-1, 6,-1,5,5,4,-4,-4,-3,-1,-3,0,-3,13,1,-4,-1,-1,2,1,3,4,3,0,-1,-6,6, -5,-2,1,-2,-3,0,1,1,1,-7,-10,-9,-1,0,2,-1,-1,-3,2,1,-1,2,-2,2,-1, 0,10,-4,2,-2,2,2]]]; return result;