# Character: X5 # Comment: perm rep on 120b pts # Ind: 0 # Ring: Z(w) # Sparsity: 71% # 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 := "U42 as 10 x 10 matrices\n"; result.generators := [ [[0,1,0,0,0,0,0,0,0,0], [1,0,0,0,0,0,0,0,0,0], [0,0,1,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,1,0,0], [0,0,0,1,0,0,0,0,0,0], [w,w,0,1,-w,1,-1,-w,0,0], [0,0,0,0,1,0,0,0,0,0], [-w+W,1,0,-1,w,-1,2,w,1,0], [-2*w-W,-W,0,-1,-2,-w+W,-2*W,0,0,1]] , [[0,0,1,0,0,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,0,1,0], [0,0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,W,0,0], [-w+W,0,0,0,w,-1,1,0,-W,W], [-1,0,-W,0,1,w,-w,-W,-w,0], [-1,W,-1,0,1,w,-w,w,1,w]]]; return result;