# Character: X5
# Comment: perm rep on 56 pts
# Ind: 1
# Ring: C
# Sparsity: 73%
# 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 7 x 7 matrices\n";

result.generators := [
[[0,1,0,0,0,0,0],
[1,0,0,0,0,0,0],
[0,0,-1,0,0,0,0],
[0,0,0,0,0,1,0],
[0,0,0,0,-1,0,0],
[0,0,0,1,0,0,0],
[E(9)^2+E(9)^4+E(9)^5+E(9)^7,-E(9)^2-E(9)^4-E(9)^5-E(9)^7,E(9)^3+E(9)^4+E(9)^5+E(9)^6,
  1,E(9)^3+E(9)^4+E(9)^5+E(9)^6,-1,1]]
,
[[0,0,1,0,0,0,0],
[0,0,0,1,0,0,0],
[0,0,0,0,1,0,0],
[0,0,0,0,0,0,1],
[1,0,0,0,0,0,0],
[-1/3*E(9)^2+1/3*E(9)^3+1/3*E(9)^6-1/3*E(9)^7,2/3*E(9)^2-1/3*E(9)^3+2/3*E(9)^4+2/3*E(9)^5-1/3*E(9)^6+2/3*E(9)^7,
  2/3*E(9)^2-2/3*E(9)^3-2/3*E(9)^6+2/3*E(9)^7,-1/3*E(9)^2+2/3*E(9)^3-1/3*E(9)^4-1/3*E(9)^5+2/3*E(9)^6-1/3*E(9)^7,
  -1/3*E(9)^2+1/3*E(9)^3+1/3*E(9)^6-1/3*E(9)^7,1,-1/3*E(9)^2-1/3*E(9)^3-1/3*E(9)^4-1/3*E(9)^5-1/3*E(9)^6-1/3*E(9)^7
  ],
[0,1,0,0,0,0,0]]];

return result;