# Character: X17 # Comment: perm rep on 45 pts # Ind: 0 # Ring: Z(w) # Sparsity: 72% 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 := "3A6 as 9 x 9 matrices\n"; result.generators := [ [[0,0,0,0,0,0,1,0,0], [0,0,1,0,0,0,0,0,0], [0,1,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0], [0,0,0,0,0,0,0,1,0], [0,0,0,1,0,0,0,0,0], [1,0,0,0,0,0,0,0,0], [0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,0,0,1]] , [[0,0,-W,-1,-2,-w,-w,0,-w], [0,0,0,1,0,0,0,0,0], [0,0,0,0,1,0,0,0,0], [0,0,0,0,0,0,1,0,0], [0,0,0,0,0,0,0,0,1], [0,0,0,0,0,0,0,w,0], [-w-2*W,w-W,w-W,W,2*W,W,-w-2*W,2*W,-2*w-3*W], [-W,-1,0,-W,0,-w,0,-2*w,-W], [-1,-w+W,-w+W,-W,-w-2*W,-W,-1,-w-2*W,2*w+W]]]; result.symmetricforms := [ ]; result.antisymmetricforms := [ ]; result.hermitianforms := [ ]; result.centralizeralgebra := [ ]; return result;