//Standard generators of A9 are a and b where a is in class 3A, b has order 7,
//ab has order 9.  Standard generators of the double
//cover 2.A9 are preimages A and B where A has order 3 and B has order 7.
//Irreducible, fixed by _LR`AI[1].
_LR := rec < recformat< F: GrpFP, AI: SeqEnum, G: GrpMat > |
      F := FreeGroup(2) >;
_LR`AI := [ [ a^-1, b ] ]
                     where a is (_LR`F).1 where b is (_LR`F).2;

//irreducible, mapped to inequivalent rep by auto
_LR`G := sub< GL(35,Integers()) |
\[ 0,0,0,0,1,0,0,-1,1,-1,0,1,0,0,0,0,0,0,1,0,0,0,-1,
0,0,-1,0,1,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,0,
0,0,0,0,-1,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,-1,1,
1,0,1,-1,0,0,0,0,-1,0,0,0,0,-1,1,0,0,0,0,0,-1,0,-1,
-1,0,1,0,0,0,-1,0,0,0,0,0,0,0,1,-1,0,0,0,0,-1,0,0,0,
0,0,1,0,0,-1,0,0,0,0,0,-1,0,1,0,-1,1,0,0,0,0,1,-1,-1,
-1,0,0,0,0,0,-1,0,0,0,0,0,2,-1,1,1,-1,0,0,1,0,1,0,0,
0,1,0,0,1,0,0,0,0,0,0,0,-1,1,0,1,0,0,0,0,0,0,0,1,-1,
0,0,-1,0,-1,1,0,0,1,0,-1,0,0,0,0,-1,0,0,-1,0,0,0,0,0,
0,-1,1,0,0,1,-1,0,0,0,0,0,1,0,0,-1,-1,0,0,0,0,0,0,1,
-1,0,0,0,0,1,-1,0,0,0,0,0,1,0,-1,0,-1,0,0,1,0,0,0,0,
-1,0,0,1,0,0,0,0,-1,0,-1,0,0,-1,0,0,0,0,1,0,0,0,-1,
-1,-1,1,0,0,0,0,0,-1,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,0,
-1,0,1,0,0,-1,0,-1,1,0,0,-1,1,0,0,1,0,0,0,1,-1,0,0,
-1,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,1,1,-1,0,1,-1,1,0,0,
-1,0,1,-1,0,1,0,0,-1,0,0,0,0,1,1,0,0,1,0,-1,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,-1,0,0,0,0,1,-1,1,0,1,0,0,0,
0,0,-1,0,0,0,0,0,-1,0,-1,0,-1,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,-1,0,0,-1,1,0,1,0,0,0,0,0,0,-1,0,1,0,1,0,0,
0,-1,0,0,0,0,0,0,0,1,1,0,0,0,1,-1,0,0,-1,1,0,1,0,0,
0,0,0,-1,-1,0,0,0,0,0,0,0,-1,0,0,1,0,1,0,1,0,1,0,0,
0,1,0,0,0,-1,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,0,
0,0,1,-1,1,1,0,0,0,-1,0,0,0,0,1,0,-1,0,0,0,0,0,0,0,
0,0,0,-1,1,0,0,0,0,0,1,0,1,-1,0,0,1,-1,1,0,-1,0,0,0,
-1,1,0,-1,1,0,0,0,0,-1,1,0,-1,0,0,0,-1,0,0,0,0,0,1,1,
0,0,-1,-1,-1,0,0,0,0,1,0,-1,0,0,1,0,0,1,0,0,-1,0,0,1,
0,0,0,0,0,0,-1,1,-1,0,0,0,0,0,0,0,-1,0,0,0,0,0,1,-1,
0,1,-1,-1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,-1,0,0,1,-1,
0,1,0,0,-1,0,0,0,0,0,1,0,0,-1,-1,0,0,0,0,0,0,0,0,-1,
1,0,-1,0,0,1,1,0,1,0,0,0,0,0,-2,0,-1,0,0,0,0,1,0,1,
0,0,0,0,0,-1,0,0,1,1,0,0,0,0,0,-1,0,1,0,0,0,0,0,0,0,
0,-1,-1,0,0,0,0,1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,-1,0,
0,0,0,0,0,0,-1,-1,-1,0,-2,1,-1,0,0,0,0,-1,1,1,1,0,0,
0,0,0,0,0,-1,0,1,0,0,0,0,0,0,-1,1,0,0,0,-1,0,0,-1,1,
-1,0,0,0,-1,-1,1,0,0,1,0,0,-1,0,0,0,0,1,0,0,1,0,1,0,
0,0,0,0,0,1,0,0,-1,0,1,0,0,0,0,0,-1,1,0,-1,1,0,1,-1,
0,0,-1,0,0,-1,0,0,-1,1,0,0,0,0,0,0,0,0,0,-1,0,-1,0,0,
0,0,0,0,0,0,1,0,0,0,0,-1,0,0,0,0,0,1,-1,0,0,0,0,0,1,
0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,-1,1,-1,0,0,
1,0,1,0,0,1,-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,0,-1,0,-1,1,0,0,-1,0,0,-1,0,-1,0,1,0,0,0,0,0,
1,0,0,1,0,0,1,0,0,0,1,0,0,0,-1,0,-1,0,0,0,0,0,-1,0,
0,-1,0,-1,0,0,0,0,-1,-1,0,0,0,0,0,2,0,0,0,0,0,0,1,1,
-1,1,1,0,-1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,
0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,-1,0,0,0,0,0,0,0,0,
0,-1,-1,1,0,-1,0,-1,0,1,0,1,-1,0,0,-1,0,0,0,0,-1,0,0,
-1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,-1,0,0,1,0,-1,
0,0,0,-1,1,0,-1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,-1,-1,0,1,-1,0,0,-1,0,-1,1,-1,0,0,0,0,0,0,1,
-1,0,0,0,-1,0,0,0,0,-1,1,0,0,0,0,1,-1,-1,0,1,-1,-1,-1,
-1,0,0,0,0,0,0,1,-1,-1,0,1,-1,-1,1,0,0,0,0,1,0,-1,0,0
],
\[ 0,0,0,-1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,-1,1,0,0,-1,
1,0,0,0,0,0,0,0,-1,1,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,
1,-1,0,0,0,-1,0,0,0,-1,0,0,0,1,0,0,0,-1,-1,0,0,0,1,0,
-1,-1,0,0,0,1,0,1,-1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,1,-1,-1,0,0,0,0,0,0,0,0,0,-1,0,1,
0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,-1,-1,0,1,1,0,
0,0,-1,-1,0,1,0,-1,0,0,-1,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,-1,-1,2,0,1,-1,0,0,0,0,-1,0,0,0,-1,0,0,-1,
-1,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-1,0,0,
0,1,0,1,0,0,1,-1,0,0,0,0,-2,1,0,0,0,0,0,0,0,-1,0,0,
0,-1,0,0,1,-1,0,0,0,-1,-1,0,-1,0,-1,0,0,-1,0,0,0,-1,0,
2,0,0,0,0,-1,0,0,0,1,0,1,0,1,0,0,0,1,-1,0,0,0,0,0,0,
-1,0,0,-1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,1,0,0,0,-1,0,-1,1,0,
0,1,-1,0,-2,-1,0,0,0,1,0,-1,0,0,1,1,0,0,0,0,0,0,0,0,
0,0,-1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,-1,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-1,0,0,0,0,1,0,0,
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,-1,0,0,1,0,1,0,0,0,0,0,-1,0,0,0,0,0,0,1,0,0,
0,0,-1,0,-1,0,0,0,0,0,0,-1,0,0,-1,0,0,0,-1,1,-1,0,0,
0,0,0,0,0,-1,0,0,0,1,0,1,0,0,-1,0,0,0,1,0,0,0,0,0,1,
0,0,-1,0,1,0,1,-1,0,0,0,0,0,0,0,0,0,-1,0,0,-1,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,1,1,0,0,1,0,1,
0,0,1,0,1,-1,0,-1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,2,0,1,0,-1,0,-2,1,0,-1,1,0,0,-1,0,1,0,0,1,0,0,0,
0,1,1,0,0,-1,0,0,0,-1,0,0,-1,1,-1,0,0,0,0,-1,0,0,-1,
0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,-1,0,-1,0,
0,0,0,0,-1,0,1,1,0,-1,0,0,0,1,0,1,0,0,0,-1,1,0,0,0,
0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,-1,0,1,
0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,
0,-1,1,0,0,0,0,0,0,-1,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,
0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,1,0,0,0,0,0,0,1,-1,0,0,1,0,0,0,0,0,0,0,
0,1,0,0,1,1,0,0,0,0,-1,0,0,0,0,0,0,0,-1,0,0,-1,0,0,
0,1,0,1,0,0,0,0,0,0,0,0,0,-1,0,1,0,0,0,-1,0,-1,0,0,
0,0,0,0,0,0,-1,0,0,0,1,1,0,0,0,2,-1,0,0,1,0,1,1,0,0,
0,0,0,-1,0,1,0,0,1,0,-1,0,0,0,0,-1,-1,0,0,0,-1,0,0,
-1,0,-2,0,0,0,0,-1,0,0,-1,0,0,0,0,0,0,-1,0,0,-1,0,0,
0,0,0,0,1,0,0,0,1,0,1,0,0,-1,0,0,0,-1,0,0,0,1,-1,0,
0,0,0,0,0,0,0,1,-1,0,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,
-1,0,0,0,-1,2,0,0,0,0,0,-1,1,0,0,0,1,-1,0,0,0,0,-1,
-1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,-1,0,0,1,0,0,1,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,-1,0,0,0,-1,0,1,0,0,0,0,0,
1,0,0,-1,0,0,-1,0,0,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,-1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,-1,
-1,-1,-1,0,0,0,1,0,1,0,-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,2,0,0,0,0,1,-2,0,0,-1,0,0,0,0,-1,1,0,-1,1,0,
0,-1,0,1,1,0,0,0,0,0,0,-1 ] >;

return _LR;
