# Character: X8
# Comment: Galois conjugate of X.7
# Ind: 1
# Ring: C
# Sparsity: 74%
# 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 := "L28 as 9 x 9 matrices\n";

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

return result;