# Character: X5
# Comment: perm rep on 351 pts - LLL'ed
# Ind: 1
# Ring: Z
# Sparsity: 85%
# Maximum absolute entry: 41
# 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 := "O73 as 168 x 168 matrices\n";

result.generators := [
[[-1,-1,-1,1,0,-1,1,-1,0,1,-1,-1,1,-2,0,1,0,-1,1,-1,1,1,1,0,-2,0,0,
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  0,1,0,1,2,1,1,0,0,2,1,0,1,-1,2,1,1,0,-1,1,0,0,0,-1,-1,0,-1,-1,1,
  0,-1,0,-1,0,1,0,0,0,0,1,0,1,0,1,-1,-1,0,1,0,0,0,0,0,2,0,0,0,0,0,
  0,0,0,0,-1,-1,0,0,1,0,2,1,1,0,-1,1,1,1,1,-1,-1,0,0,-1,0,-1,0,0,0,
  0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,-1,0,-1],
[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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  0,0,0,0,0,0,0],
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  8,-6,15,-8,2,1,-3,-6,1,2,10,1,-11,8,8,10,-4,1,0,-6,1,5,0],
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  -2,-1],
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  2,-1,4,-5,8,-1,-3,1,2,10,-4,-2,5,-1,9,0,0,-1,3,1,5,0,2,3,0,-2,3,
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  0,1,-1,-6,-1,4,1],
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  1,-2,1,7,7,-1,-2,0,-2,6,-2,-2,-1,5,4,5,0,-1,3,0,-2,2,0,1,5,7,6,3,
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  0],
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  16,-16,31,-5,-18,4,3,34,-15,-1,5,13,29,-12,-8,-12,22,16,23,1,11,
  19,1,-17,13,1,10,15,19,19,9,0,-14,3,-25,-12,16,14,-14,24,-16,2,3,
  -2,-14,2,3,17,1,-20,15,14,22,-7,3,1,-18,2,15,4],
[0,2,4,-1,0,3,-2,-1,-2,0,1,4,-2,2,-1,-2,3,-3,5,0,7,-3,0,-1,-1,-5,-1,
  -4,0,2,3,3,-1,0,2,-1,5,2,1,-4,5,2,0,-3,7,-2,0,5,3,4,-2,2,3,0,3,-3,
  1,2,1,-3,3,-3,3,4,2,-1,-3,4,0,2,-1,2,-3,-3,-1,2,3,5,-3,-1,-1,-2,
  0,0,0,5,-2,0,-1,2,3,2,-1,1,2,1,0,1,2,-3,1,-1,1,4,-1,3,2,-3,2,-1,
  -1,-2,-3,0,-1,1,0,1,-1,0,4,-2,-2,-3,2,0,4,0,1,5,1,0,-2,1,-3,0,2,
  3,0,-1,0,3,-3,1,-3,-1,-3,3,0,2,0,-1,0,4,-5,1,1,0,4,0,1,-3,2,3,-2,
  -2,2,2],
[0,9,16,4,-4,10,-8,-16,1,-10,-5,-1,-6,4,-17,2,9,-9,5,-2,29,-16,15,
  -2,-9,-26,-11,-18,-3,4,6,-6,-11,-11,-1,-12,8,10,6,-9,23,9,-14,-8,
  18,-7,2,17,6,24,4,2,3,15,4,-25,-10,21,10,-17,2,-12,27,6,-6,-13,-6,
  14,-1,9,-10,10,-6,-15,-8,-5,13,20,-16,1,-5,-1,-2,3,0,-9,-11,-6,-7,
  14,-2,20,-8,8,10,13,10,14,9,-7,-5,7,10,19,6,-1,11,-9,12,-14,21,-7,
  -13,6,-4,23,-9,-4,2,11,18,-8,-6,-11,17,13,16,2,8,17,2,-8,8,4,4,10,
  11,14,8,-1,-9,4,-19,-4,10,13,-11,22,-13,3,1,-3,-11,0,1,12,0,-13,
  9,12,14,-6,2,0,-13,0,12,5],
[0,2,4,-1,0,3,-2,-1,-2,0,1,4,-2,2,-1,-2,3,-3,5,0,7,-3,0,-1,-1,-5,-1,
  -4,0,2,3,3,-1,0,2,-1,5,2,1,-4,5,2,0,-3,7,-2,0,5,3,4,-2,2,3,0,3,-3,
  1,2,1,-3,3,-3,3,4,2,-1,-3,4,0,2,-1,2,-3,-3,-1,2,3,5,-3,-1,-1,-2,
  0,0,0,5,-2,0,-1,2,3,3,-1,1,2,1,0,1,2,-3,1,-1,1,4,-1,3,2,-3,2,-1,
  -1,-2,-3,0,-1,1,0,1,-1,0,4,-2,-2,-3,2,0,4,0,1,5,1,0,-2,1,-3,0,2,
  3,0,-1,0,3,-3,1,-3,-1,-3,3,0,2,0,-1,0,4,-5,1,1,0,4,0,1,-3,2,3,-2,
  -2,2,2],
[0,6,1,-1,0,7,-3,-8,-3,-2,-2,3,-2,0,-6,2,4,1,0,2,6,-6,7,-4,2,-10,-3,
  -7,1,2,0,-3,-3,-4,-1,1,3,4,-4,-4,5,1,-7,-1,8,2,-4,6,-1,6,2,0,-2,
  2,2,-10,-4,7,4,-8,-2,-7,5,-1,-4,-3,-5,4,-1,3,-3,2,-3,-7,-6,-4,0,
  7,0,2,0,-1,-2,5,-1,-4,-2,-3,-4,2,-2,4,-3,3,0,5,1,5,1,1,-7,2,4,7,
  1,3,5,-2,1,-2,6,-3,-6,3,-6,5,-4,2,0,10,4,-5,-4,-4,5,4,4,1,4,7,1,
  -6,2,1,2,0,-1,2,3,0,-2,0,-3,-4,1,7,-5,6,-4,1,-1,-2,-4,-1,0,7,-1,
  -3,0,3,7,-1,1,1,-3,2,4,3],
[0,-6,-11,0,0,-6,7,7,-1,7,0,-2,5,-4,8,0,-3,4,-2,-1,-17,8,-6,0,3,16,
  7,11,-3,-1,-4,-2,9,7,-1,1,-5,-4,0,3,-13,-7,10,4,-9,13,-6,-11,-1,
  -13,-3,-1,1,-11,-3,12,9,-13,0,7,-3,7,-15,-7,6,8,5,-4,0,-3,8,-1,1,
  9,5,2,-11,-12,9,-4,0,5,-2,0,-1,3,6,2,2,-7,-2,-13,6,-5,-5,-8,-5,-9,
  -3,6,0,-2,1,-11,-6,3,-5,2,-4,7,-14,2,8,0,-2,-16,7,1,-5,-5,-14,4,
  2,3,-5,-4,-8,1,-6,-5,1,9,-5,-2,-7,-6,-10,-8,-1,-1,5,-1,11,7,-9,-4,
  7,-8,7,2,-1,0,8,-1,-1,-7,-1,9,-6,-5,-9,1,-3,1,11,-1,-7,-2],
[1,-3,-2,-3,1,-4,2,6,1,2,3,1,1,-2,7,-3,-2,2,0,1,-10,4,-6,2,3,10,6,
  6,1,-4,-1,5,5,6,4,6,-1,-4,-2,2,-6,-3,7,0,-6,-1,1,-6,-1,-7,-2,0,1,
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  -4,2,-4,4,-10,1,4,-3,1,-9,6,-1,0,-7,-7,3,4,2,-8,-7,-6,-1,-3,-7,-1,
  4,-5,2,-2,-3,-1,-4,-5,1,3,0,6,4,-4,-6,4,-7,5,-2,-1,0,3,1,-3,-6,1,
  5,-1,-5,-8,3,1,0,3,-1,-3,-1],
[0,5,11,4,-2,3,-7,-7,2,-8,-6,-4,1,6,-10,3,4,-8,0,-5,21,-7,9,0,-8,-16,
  -9,-10,-2,2,4,-6,-9,-11,-4,-12,5,6,7,-3,13,6,-9,-6,12,-8,5,10,3,
  12,3,-1,2,13,2,-13,-8,18,3,-12,2,-5,17,7,-4,-11,0,10,0,9,-4,5,-1,
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  10,6,-7,-2,5,4,14,5,-2,6,-5,9,-11,16,-1,-8,2,5,17,-4,-4,-1,6,15,
  -5,-4,-5,12,9,10,2,4,10,0,-7,7,2,2,10,11,12,5,1,-7,1,-13,-3,10,5,
  -7,14,-9,-1,2,-2,-9,1,3,7,1,-11,7,8,10,-4,2,-1,-9,2,6,2],
[-1,10,12,6,-1,7,-6,-16,-3,-7,-4,-2,-3,3,-12,3,9,-10,7,-4,31,-10,13,
  -1,-12,-25,-11,-16,1,5,3,-9,-14,-17,-3,-13,8,9,9,-9,20,11,-16,-6,
  18,-11,3,18,4,20,4,2,0,18,0,-19,-10,22,7,-11,8,-9,20,7,-3,-11,-7,
  16,-1,16,-9,8,-2,-19,-3,-2,12,19,-13,3,-2,-9,-5,4,2,-9,-11,-8,-3,
  18,1,18,-12,10,9,11,9,17,7,-13,-6,1,7,20,6,-5,9,-4,16,-11,21,-3,
  -13,0,3,24,-12,1,1,10,21,-10,-5,-10,19,13,19,2,8,15,1,-12,10,0,4,
  10,14,13,6,-1,-7,2,-16,-7,11,12,-11,18,-11,2,2,-4,-10,3,3,14,2,-13,
  11,11,17,-5,3,1,-10,1,9,1],
[0,3,2,-1,1,3,-1,0,-1,-1,0,0,-1,1,-1,0,0,0,0,1,2,-1,1,-1,3,-2,-2,-1,
  4,0,-1,1,-1,-2,1,1,1,-1,-2,-1,2,0,-3,0,1,-2,2,3,-2,1,0,0,-2,1,-1,
  -2,-4,3,-3,-2,0,-2,1,1,-3,-2,-1,-1,0,-1,0,-3,0,-2,-1,-1,1,3,0,2,
  1,-2,0,0,0,0,0,0,-1,1,0,0,-2,1,0,2,0,1,-1,-1,-1,0,-3,2,2,0,0,1,-2,
  1,3,1,-2,-1,0,2,-2,1,3,2,3,-1,-1,0,0,0,0,-2,1,0,-1,-4,1,-1,2,-1,
  1,1,-1,1,-1,-1,-1,-4,2,0,-2,-1,-1,-1,1,0,-2,0,1,1,-1,-1,1,0,3,1,
  1,0,-2,1,2,1],
[0,-13,-18,-7,1,-8,11,17,1,13,6,3,4,-7,16,-2,-11,13,-5,4,-37,15,-16,
  0,12,32,13,19,1,-3,-6,7,16,20,3,15,-10,-12,-10,10,-24,-12,20,11,
  -22,17,-6,-21,-4,-25,-5,-2,-2,-24,-4,25,14,-29,-5,19,-6,11,-28,-12,
  7,16,8,-16,0,-14,10,-6,1,22,6,4,-16,-28,17,-4,5,7,5,-1,-1,11,15,
  7,3,-22,-2,-25,11,-13,-12,-15,-10,-22,-6,14,3,-4,-6,-23,-10,3,-10,
  6,-16,14,-27,4,17,-1,-5,-31,12,4,-1,-13,-25,12,5,13,-21,-15,-20,
  -1,-9,-15,0,16,-13,-4,-9,-15,-19,-18,-7,-1,13,-2,21,9,-15,-13,12,
  -23,14,-1,-2,4,15,-1,-4,-18,-3,21,-14,-12,-20,5,-5,0,15,-4,-13,-2
  ],
[0,-4,-4,1,-1,-2,1,4,2,1,-2,-2,2,1,0,2,-4,1,-4,-1,-5,2,-1,0,0,4,-1,
  3,-4,1,0,-2,-1,2,-5,-3,-5,0,2,5,-4,-1,2,2,-3,7,-2,-4,-1,-2,1,-1,
  0,-3,0,1,2,-1,2,2,-2,4,-3,-3,0,0,4,0,0,0,3,1,0,4,1,-1,-5,-5,2,2,
  0,4,-1,-2,0,-3,0,2,2,-2,-2,-1,1,0,-1,2,3,-1,4,3,-3,1,2,-5,0,0,0,
  0,-2,-1,1,3,4,4,1,-1,1,-1,-2,1,-3,3,1,4,0,2,-4,1,-2,0,2,3,2,-2,0,
  1,-4,-2,3,0,-1,-2,2,-1,0,-1,3,-1,0,1,0,3,2,-4,4,-2,-1,0,-5,1,-1,
  -1,-3,0,2,1,-2,-1],
[0,-12,-7,-3,0,-8,6,16,6,7,3,-1,3,-1,9,0,-12,9,-6,3,-23,10,-11,2,7,
  22,3,13,0,-3,-1,7,8,15,-1,7,-8,-9,-4,11,-14,-7,14,8,-18,9,1,-13,
  -4,-15,-3,-3,-1,-15,-4,16,7,-16,-7,13,-4,10,-14,-5,3,8,9,-12,0,-13,
  6,-5,1,18,6,2,-7,-19,8,-1,4,7,5,-6,-1,6,11,7,3,-15,-1,-15,8,-9,-4,
  -7,-1,-17,1,9,3,1,-7,-16,-4,-1,-8,4,-13,6,-12,6,13,2,0,-17,7,-1,
  2,-11,-13,13,4,13,-15,-10,-16,-2,-7,-11,0,12,-6,-5,-3,-7,-11,-9,
  -4,0,5,-2,9,3,-6,-13,8,-15,6,-2,2,7,8,-2,1,-16,-4,12,-10,-7,-14,
  3,-5,-2,6,-4,-8,-1],
[-2,10,8,3,-1,9,-6,-14,-2,-9,-6,-4,-2,4,-13,5,6,-7,1,-2,22,-10,15,
  -3,-4,-22,-9,-13,1,3,0,-11,-12,-14,-3,-10,5,8,4,-6,15,5,-16,-4,13,
  -6,1,12,1,17,5,-1,-4,13,0,-18,-14,21,6,-15,0,-10,18,2,-10,-11,-5,
  10,-1,10,-5,4,-2,-15,-5,-6,7,17,-7,5,-1,-3,-4,4,1,-12,-10,-7,-5,
  13,-4,13,-9,9,5,13,8,14,6,-6,-9,4,6,15,7,-2,7,-3,8,-10,20,-4,-11,
  4,0,21,-9,-1,2,14,16,-9,-5,-8,15,13,12,1,7,11,0,-13,9,2,7,7,9,10,
  8,1,-8,0,-13,-8,13,12,-8,15,-11,0,0,-2,-12,-3,7,13,0,-13,5,10,17,
  -2,2,-1,-9,4,10,3]]];

return result;