# Character: X7 # Comment: complex conjugate # Ind: 0 # Ring: C # Sparsity: 84% # 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 45 x 45 matrices\n"; result.generators := [ [[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], [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], [0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0], [0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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7/2*b+7/4*B,3*b+11/4*B,1/4*b-5/4*B,3*b+5/4*B,1/4*b+3/4*B,-3/2*b-1/4*B, -1/4*b-3/2*B,3/4*b+1/2*B,11/4*b+7/4*B,-b-1/4*B,1/4*b-3/4*B,-3/2*b-1/4*B, 1/2*b+5/4*B,-1/4*b-3/2*B,-5/4*b-3/4*B,3/4*b+1/2*B,3/2*b+3/4*B,11/4*b+7/4*B, -b-1/4*B,1/4*b-3/4*B,0,0,1/2*b+5/4*B,0,-5/4*b-3/4*B,b,b,3/2*b+3/4*B, 0,-1,0], [1/2,1/2,5/2*b+9/4*B,3/4*B,5/2*b+9/4*B,b-5/4*B,3/4*B,-1/2*b+1/4*B, 7/2*b+5/4*B,b-5/4*B,1/2*b-1/4*B,b+3/4*B,-1/2*b+1/4*B,1/2*b,7/2*b+5/4*B, 1/2*b+1/4*B,-2*b-13/4*B,1/2*b-1/4*B,b+3/4*B,-5/2*b-3/4*B,-1/2*b-2*B, -1/2*b-2*B,2*b+3/4*B,-1/2*b+1/4*B,b-3/4*B,-5/2*b-3/4*B,1/2*b+3/4*B, -1/2*b-2*B,-3*b-7/4*B,-1/2*b-2*B,1/2*b+1/4*B,2*b+3/4*B,-1/2*b+1/4*B, b-3/4*B,0,0,1/2*b+3/4*B,0,-3*b-7/4*B,-B,-B,1/2*b+1/4*B,0,0,-1]] , [[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], [0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0], [0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0,0,0], 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1/11*b+3/11*B,-20/11*b-21/22*B,14/11*b+7/22*B,3/11*b-2/11*B,14/11*b+9/11*B, -6/11*b-7/11*B,-3/11*b+2/11*B,10/11*b+8/11*B], [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], [27/44*b+1/2*B,25/44*b+9/44*B,31/22*b+93/44*B,-37/44*b+7/44*B,31/22*b+105/44*B, 87/44*b+53/44*B,-43/44*b-5/11*B,1/11,30/11*b+27/11*B,61/44*b+B,43/22*b+83/44*B, 13/44*b+21/44*B,-15/22*b-23/44*B,-9/44*b+7/22*B,23/11*b+45/22*B, 21/22*b+83/44*B,71/44*b+3/11*B,39/22*b+57/44*B,-1/44*b+9/22*B,-31/22*b-9/11*B, 65/44*b+3/44*B,51/44*b+7/11*B,7/4*b+37/22*B,-5/11*b-2/11*B,37/44*b+5/44*B, -37/22*b-39/22*B,-9/22*b+3/44*B,23/44*b-4/11*B,-51/44*b-65/44*B, 43/44*b+6/11*B,10/11*b+B,5/4*b+57/44*B,-8/11*b-9/11*B,83/44*b+21/22*B, 1/2*b+23/44*B,9/22*b-9/44*B,-3/22*b+13/44*B,3/11*b+1/22*B,-65/44*b-3/2*B, 29/22*b+17/44*B,9/11*b+3/22*B,1/2*b+27/44*B,6/11*b+5/11*B,4/11*b+13/22*B, 6/11*b+8/11*B], [53/44*b+10/11*B,-27/44*b-12/11*B,-17/22*b-17/44*B,49/44*b+1/4*B,-21/22*b-25/44*B, 1/44*b+63/44*B,21/44*b+3/44*B,-3/22*b-3/4*B,-49/22*b-25/44*B,13/44*b+59/44*B, -17/22*b-31/44*B,-61/44*b-53/44*B,43/22*b+43/44*B,17/44*b+7/22*B, -3/2*b-17/44*B,5/22*b-9/44*B,67/44*b+87/44*B,5/22*b+25/44*B,39/44*b+35/44*B, 10/11*b-21/44*B,49/44*b+39/22*B,57/44*b+37/22*B,-75/44*b-9/44*B, 25/22*b+47/44*B,-13/44*b+69/44*B,27/11*b+43/44*B,-15/22*b-47/44*B, 3/4*b+35/22*B,107/44*b+57/44*B,57/44*b+43/22*B,-19/22*b-21/44*B, -71/44*b-49/44*B,3/22*b-1/44*B,7/44*b+53/44*B,2/11,3/11*b-1/11*B, -9/22*b-31/44*B,-3/11*b-2/11*B,103/44*b+41/44*B,2/11*b+5/11*B,-9/11*b+5/11*B, -9/22*b-29/44*B,6/11*b+8/11*B,8/11*b+2/11*B,-7/11*b-16/11*B], [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], [10/11*b+6/11*B,-7/11*b-29/44*B,-25/11*b-145/44*B,21/11*b+15/44*B, -59/22*b-153/44*B,-41/22*b+9/44*B,41/22*b+6/11*B,31/22*b+13/22*B, -107/22*b-67/22*B,-21/11*b-6/11*B,-31/11*b-95/44*B,-27/22*b-5/4*B, 16/11*b+7/44*B,7/11*b+3/11*B,-56/11*b-41/11*B,-9/11*b-95/44*B,26/11*B, -47/22*b-53/44*B,5/11*b-15/22*B,38/11*b+37/22*B,-10/11*b+57/44*B, -2/11*b+17/22*B,-61/22*b-43/22*B,29/11*b+39/22*B,-20/11*b+21/44*B, 87/22*b+21/11*B,-51/44*B,-14/11*b+29/22*B,73/22*b+119/44*B,27/22*B, -27/22*b-25/22*B,-73/22*b-115/44*B,31/22*b+21/22*B,-35/22*b+7/22*B, 1/11*b+3/44*B,-6/11*b-3/4*B,13/22*b-25/44*B,-3/22*b+1/22*B,81/22*b+53/22*B, -31/22*b-27/44*B,-31/22*b+3/22*B,-45/22*b-95/44*B,-2/11,-5/22*b-15/22*B, -27/22*b-B], [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,1,0,0,0,0,0,0]]]; return result;