local w, result;

w := E(3);

result := rec();

result.comment := "U42 as 30 x 30 matrices\n\
";

result.symmetricforms := [ ];

result.antisymmetricforms := [ ];

result.hermitianforms := [ ];

result.centralizeralgebra := [ ];

result.generators := [
[[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
  ],
[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
  ],
[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
  ],
[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
  ],
[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
  ],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
  ],
[0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
  ],
[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
  ],
[w-w^2,-2*w,-2,-2*w-3*w^2,2*w^2,-2,w-2*w^2,-w-3*w^2,-2*w,2*w^2,-w+w^2,2*w-w^2,w+2*w^2,-w-2*w^2,1,-2*w-w^2,2,-w+w^2,-w+w^2,0,0,1,-2*w-w^2,0,-w^2,w-w^2,2*w,-w^2,w^2,2*w+w^2
  ],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
  ],
[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
  ],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
  ],
[-w,-1,-2*w^2,2*w^2,w-w^2,-w-2*w^2,-2*w,-w+2*w^2,2*w+w^2,w-w^2,w,-2*w,-2*w^2,w^2,w+2*w^2,-1,2*w^2,w-w^2,2*w,0,w^2,0,-1,w^2,-w+w^2,-2*w-w^2,-2*w-w^2,-w,w-w^2,-w-2*w^2
  ],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,w,0,0,0,0,0,0,0,0,0,0,0
  ],
[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
  ],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
  ],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
  ],
[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
  ],
[0,0,0,0,0,0,0,0,0,0,0,0,0,w^2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
  ],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
  ],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
  ],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0
  ],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
  ],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0
  ],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
  ],
[-w^2,w^2,0,-w,-1,w,1,1,0,0,-1,-w^2,0,-w,0,-w,0,w^2,w^2,0,w,0,w^2,0,0,1,-w^2,0,0,0
  ],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
  ],
[w^2,w,2,2*w+3*w^2,-2*w^2,2,2*w^2,w+3*w^2,w-w^2,-w-2*w^2,-w^2,-w+2*w^2,-w-2*w^2,w+2*w^2,2*w+w^2,2*w+w^2,-2,-2*w^2,w-w^2,0,0,0,2*w,w^2,w+2*w^2,-w+w^2,-2*w+w^2,-w,-2*w^2,-2*w-w^2
  ],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
  ],
[-w^2,-w,-2,2,w^2,2*w+w^2,-2*w^2,-w-2*w^2,-w+w^2,w^2,w^2,w-w^2,w+2*w^2,-w-2*w^2,-w,-2*w-w^2,2,w^2,-w+w^2,0,0,1,-w,0,-w^2,w-w^2,w-w^2,-w^2,w^2,w
  ]]
,
[[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
  ],
[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
  ],
[0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
  ],
[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
  ],
[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
  ],
[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
  ],
[0,0,0,0,0,0,0,w^2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
  ],
[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
  ],
[0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
  ],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
  ],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0
  ],
[0,w,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
  ],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0
  ],
[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
  ],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
  ],
[0,0,0,0,0,0,0,0,0,0,w^2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
  ],
[0,0,0,0,0,w,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
  ],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0
  ],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0
  ],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0
  ],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0
  ],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0
  ],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0
  ],
[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,w^2,0
  ],
[-2*w-w^2,w+2*w^2,w-2*w^2,-2*w+2*w^2,2*w,-2*w^2,-3*w-w^2,-3*w,-2,2*w,2*w+w^2,-3*w-2*w^2,w-w^2,-2*w,w+2*w^2,2*w^2,-w+2*w^2,2*w+w^2,3*w+2*w^2,w,0,-w,w+2*w^2,0,-2*w,-3*w-2*w^2,3,1,2*w,-w-2*w^2
  ],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1
  ],
[w-w^2,-2*w,-2,-2*w-3*w^2,2*w^2,-2,w-2*w^2,-w-3*w^2,-2*w,2*w^2,-w+w^2,2*w-w^2,w+2*w^2,-w-2*w^2,1,-2*w-w^2,2,-w+w^2,-w+w^2,0,0,1,-2*w-w^2,0,-w^2,w-w^2,2*w,-w^2,w^2,2*w+w^2
  ],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0
  ],
[0,0,0,0,0,0,0,0,0,0,0,0,0,0,w,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
  ],
[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
  ]]];

return result;