# Character: X14
# Comment: Galois conjugate of X.13
# Ind: 1
# Ring: C
# Sparsity: 92%
# 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 := "S44 as 204 x 204 matrices\n";

result.generators := [
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  -8*a-3*A,-9*a-3*A,24*a+10*A,-8*a-3*A,-18*a-6*A,4*a+A,-8*a-3*A,-11*a-4*A,
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  -7*a-4*A,9*a+3*A,-14*a-5*A,13*a+5*A,0,6*a+A,1,0,6*a+A,2*a+A,-10*a-5*A,
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  20*a+7*A,-15*a-6*A,44*a+17*A,6*a+2*A,-8*a-3*A,a,-13*a-5*A,28*a+10*A,
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  -a,-7*a-3*A,-5*a-2*A,-A,1,-2*a,2*a+A,1,0,3*a+A,-3*a-2*A,0,-3*a-A,
  3*a+A,1,0,0,0,a,0,-a,a,-1],
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  -4*a-2*A,-3*a-2*A,-a-2*A,-3*a-A,A,4*a+2*A,2*a+3*A,1,-1,0,2,a+2*A,
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  a+2*A,-2,1,0,0,0,1,1,0,0,1,0]]];

return result;