# Character: X19
# Comment: nicer(ish) basis
# Ind: 1
# Ring: C
# Sparsity: 73%

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 := "2A9 as 8 x 8 matrices\n";

result.generators := [
[[0,1,0,0,0,0,0,0],
[-1,-1,0,0,0,0,0,0],
[0,0,0,1,0,0,0,0],
[0,0,-1,-1,0,0,0,0],
[0,0,0,0,0,0,1,0],
[0,0,0,0,0,0,0,1],
[0,0,0,0,-1,0,-1,0],
[0,0,0,0,0,-1,0,-1]]
,
[[0,0,1,0,0,0,0,0],
[0,E(7)^6,0,0,0,0,0,0],
[0,0,0,0,1,0,0,0],
[0,0,0,0,0,1,0,0],
[E(7)^6,-E(7)-E(7)^3-E(7)^4-2*E(7)^5,-E(7)^2-E(7)^4-E(7)^6,0,-E(7)-E(7)^3-E(7)^5-E(7)^6,
  0,0,0],
[0,-E(7)-E(7)^3+E(7)^5,0,0,-2*b-B,-E(7)-E(7)^2-E(7)^4-E(7)^6,-E(7),
  0],
[0,E(7)^4+E(7)^5+E(7)^6,E(7)^2+E(7)^4+E(7)^5+2*E(7)^6,-1,0,-E(7)-E(7)^3-E(7)^5-E(7)^6,
  0,0],
[0,E(7)+E(7)^3-E(7)^5,E(7)^2+E(7)^4-E(7)^6,0,2*E(7)+E(7)^2+E(7)^4+E(7)^6,
  -E(7)^2-E(7)^3-E(7)^4-E(7)^5,E(7),E(7)]]];

result.symmetricforms := [ ];
result.antisymmetricforms := [ ]; 
result.hermitianforms := [ ]; 
result.centralizeralgebra := [ ];

return result;