# Character: X19 # Comment: seeded with -E(8) espace of b # Ind: 0 # Ring: C # Sparsity: 65% 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 := "6A6 as 6 x 6 matrices\n"; result.generators := [ [[0,1,0,0,0,0], [-1,0,0,0,0,0], [0,0,0,0,1,0], [0,0,0,0,0,1], [0,0,-1,0,0,0], [0,0,0,-1,0,0]] , [[-E(8),0,0,0,0,0], [0,0,1,0,0,0], [0,0,0,1,0,0], [E(24)^11+E(24)^14+E(24)^16+E(24)^19,E(8)^3,-i,E(8),0,0], [-1/2*E(24)^8+E(24)^11-3/2*E(24)^14-E(24)^16+1/2*E(24)^19-1/2*E(24)^22, 1/2*E(24)-1/2*E(24)^8+1/2*E(24)^14-1/2*E(24)^16+E(24)^17+E(24)^19, -E(24)+1/2*E(24)^8-E(24)^14-1/2*E(24)^17+E(24)^19-E(24)^22,1/2*E(24)^11-1/2*E(24)^16+1/2*E(24)^17+1/2*E(24)^19, E(24)+E(24)^8-1/2*E(24)^11+1/2*E(24)^14+E(24)^16+E(24)^22,1/2*E(24)-1/2*E(24)^11+1/2*E(24)^17-E(24)^19-1/2*E(24)^22 ], [1/2*E(24)^8-1/2*E(24)^11+2*E(24)^14-E(24)^17+E(24)^22,1/2*E(24)^14+1/2*E(24)^17-E(24)^19+E(24)^22, -E(24)+1/2*E(24)^8-3/2*E(24)^11-E(24)^14+2*E(24)^16-E(24)^17-1/2*E(24)^19+1/2*E(24)^22, E(24)+1/2*E(24)^8+E(24)^14+1/2*E(24)^17-E(24)^19+E(24)^22,1/2*E(24)+E(24)^8+2*E(24)^11-1/2*E(24)^14-1/2*E(24)^16-1/2*E(24)^17+2*E(24)^19+E(24)^22, -E(24)^8-1/2*E(24)^11-1/2*E(24)^14-E(24)^16+E(24)^17-E(24)^19-E(24)^22 ]]]; result.symmetricforms := [ ] result.antisymmetricforms := [ ] result.hermitianforms := [ ] result.centralizeralgebra := [ ]; return result;