//Standard generators of L4(3) are a, b where a is in class 2A, b is in
//class 4B, ab has order 13 (necessarily in class 13A/B) and abb 8.
//Alternatively: a is in class 2A, b is in class 4B, ab has order 13
//(necessarily in class 13A/B) and ababb has order 13.
//Standard generators of 2.L4(3) are preimages A, B where AB has order 13 and
//ABABB has order 13. 
_LR := rec < recformat< F: GrpFP, AI: SeqEnum, G: GrpMat > |
      F := FreeGroup(2) >;
_LR`AI:=[ [a, b^2*a*b^-1*a*b^2], //duality
     [a, b^2*a*b*a*b^2], //diagonal
     [a,b^-1] ]
              where a is (_LR`F).1 where b is (_LR`F).2;
//irreducible, fixed by all autos
_LR`G := sub<GL(52,Integers()) |
\[ 0,1,0,-1,1,0,0,1,0,-1,0,0,0,-1,1,0,0,0,1,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,-1,0,0,0,0,1,0,0,0,
0,0,0,0,1,0,0,0,0,1,1,0,0,0,-1,0,-1,0,-1,0,0,0,-1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,
-1,0,0,0,0,-1,0,-1,0,0,1,-1,0,-1,0,0,1,1,0,0,0,0,-1,
1,0,0,-1,-1,-1,0,0,0,0,0,0,0,0,1,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,-1,1,0,0,-1,0,0,
0,-1,1,-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,-1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,
-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,-1,0,-1,0,
0,1,0,0,0,0,-1,0,0,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,0,-1,0,0,1,
0,-1,-1,0,1,0,1,0,0,0,0,0,0,0,0,-1,-1,-1,0,0,0,0,0,0,
0,0,1,0,0,0,0,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,-1,0,0,1,0,0,1,-1,1,0,0,0,0,0,-1,-1,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,
1,0,0,0,0,1,-1,-1,-1,1,1,0,1,1,0,0,0,0,0,0,0,-1,-1,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,1,0,
0,0,0,1,0,-1,0,0,0,1,-1,0,-1,1,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,-1,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,-1,0,-1,0,-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,
0,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,-1,0,0,
0,-1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,-1,0,0,0,0,-1,1,0,0,1,-1,0,-1,2,0,
0,1,-1,0,1,0,1,0,1,-1,-1,0,0,0,1,0,1,0,0,0,1,0,0,0,
1,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,1,-1,0,0,-1,1,0,-1,-1,-1,0,1,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,0,0,0,
0,-1,-1,1,0,-1,1,0,1,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,1,0,1,-1,0,0,-1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,-1,0,0,1,0,0,0,
0,1,1,0,0,1,0,0,1,0,0,-1,1,-1,1,0,0,0,0,1,0,-1,0,0,
0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,1,0,0,
0,0,1,0,0,0,0,-1,1,-1,1,-1,1,-1,0,0,0,0,1,0,0,0,1,1,
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,-1,0,0,1,0,0,0,0,-1,0,-1,0,-1,0,1,0,0,0,0,
0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,
0,-1,0,1,0,-1,0,0,0,0,1,0,0,1,0,1,0,0,1,2,-1,0,-2,1,
-2,0,0,1,-1,-2,-1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,1,-1,-1,0,0,0,0,1,0,0,-1,0,0,0,-1,1,1,-1,
-1,1,0,0,0,0,0,-1,-1,0,1,0,0,0,0,-1,0,-1,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-1,1,0,
0,-1,1,0,-1,0,0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,
0,-1,0,0,0,0,0,0,0,1,-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,2,-1,1,0,0,-1,1,0,-1,-1,1,-2,0,0,0,-2,-2,-1,-1,0,
0,-1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,-1,-1,0,
0,0,1,0,0,0,-1,0,1,0,0,1,-1,0,0,0,0,-1,1,-1,0,0,0,-1,
-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,
-1,-1,0,0,0,0,0,0,-1,0,0,0,-1,1,-1,-1,0,1,0,-1,1,-1,0,
0,1,1,-1,0,2,0,0,0,0,1,0,0,0,0,-1,0,0,0,-1,0,0,0,0,
0,0,0,0,0,1,-1,0,-1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,
-1,0,0,0,0,1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,
0,0,0,0,0,0,0,1,0,-2,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,-1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,-1,
0,-1,0,-1,-1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,
0,0,0,-1,0,0,0,0,0,0,0,0,-1,-1,0,0,-1,1,0,0,0,-1,1,0,
-1,0,0,0,-1,1,0,0,0,0,-1,2,0,1,0,1,1,1,0,0,0,1,0,0,
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,
-1,0,0,-1,1,0,1,-1,1,0,1,-1,0,0,1,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,0,1,0,
0,0,0,-1,-1,0,1,0,-1,0,1,-1,0,1,0,0,0,-1,-1,0,0,0,-1,
-1,0,0,0,-1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,-1,0,1,0,0,1,
0,-1,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,-1,0,
0,0,0,-1,0,0,0,0,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,
-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,-1,0,0,0,0,0,-1,0,0,0,-1,1,0,0,-1,1,
0,0,0,0,0,0,-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,0,1,1,0,0,1,1,1,0,0,
1,-2,0,-2,1,-1,0,0,0,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,1,0,0,0,-1,-1,0,0,0,0,0,0,0,0,0,1,
-1,1,-1,-1,0,2,1,0,0,1,0,0,1,1,-1,-2,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,-1,0,1,0,0,1,-1,0,0,-1,-1,0,0,0,0,0,0,0,
-1,1,-1,-1,1,0,0,-1,1,1,-1,0,0,0,0,-1,1,0,0,0,0,0,0,
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,-1,0,-1,-1,0,0,0,0,1,0,-1,0,2,0,0,0,0,0,0,0,0,0,
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,
0,0,0,0,0,0,0,2,1,0,0,0,2,1,0,0,0,-2,0,-1,1,-1,1,0,
0,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,-1,-1,0,1,0,0,0,0,0,0,0,-1,1,-1,1,-1,1,-1,0,1,
0,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,0,1,0,-1,0,1,
0,0,0,0,0,0,1,0,0,-1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,-1,0,
0,0,-1,-1,1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,
1,0,0,-1,0,-1,0,0,0,0,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,1,
0,-1,1,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
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,-1,0,0,0,0,0,0,
0,-1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,0,0,0,0,0,-1,1,-1,0,1,-1,1,-1,1,-1,0,0,0,1,1,
-1,0,0,0,0,-1,0,0,0,0,0,0,-1,-1,-1,0,1,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,-1,0,-1,1,-1,1,-1,0,0,0,0,0,0,0,0,-1,
0,1,2,2,1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,-1,0,0,0,0,0,0,0,-1,0,0,0,-2,2,1,1,0,0,-1,
0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,-1,0,0,0,0,1,0,0,0,
-1,1,0,0,0,0,-1,0,-1,0,0,0,0,0,0,0,0,0,0,-1,-1,2,1,0,
0,0,0,0,0,0,1,1,-1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,
0,1,0,-1,1,-1,0,0,-1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1 ],
\[ 0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,-1,1,0,0,-1,0,1,-1,0,-1,1,0,-1,0,0,1,1,0,
0,0,0,1,-1,0,0,0,0,0,-1,0,-1,0,0,0,0,0,-1,0,0,0,0,0,
0,0,0,0,0,-1,0,1,0,0,-1,-1,0,-1,0,1,0,1,0,0,0,1,0,0,
0,1,0,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,
1,-1,0,1,-1,0,0,0,1,0,-1,0,0,0,1,0,0,1,-2,0,0,-1,0,0,
0,-1,0,0,0,0,0,0,0,0,0,0,-1,0,-1,0,0,0,0,0,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-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,-1,1,0,0,1,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-1,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,
1,-1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,-1,0,0,-1,0,0,1,0,
0,0,0,0,0,0,0,1,0,-1,-1,0,0,0,0,0,0,0,0,0,0,-1,-1,0,
0,0,0,1,0,-1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,-1,0,-1,
-1,0,1,0,0,0,0,0,0,0,0,1,1,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-1,
0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,
1,0,-1,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,-1,0,0,0,0,0,
-1,0,0,0,-1,0,0,0,0,0,0,-1,0,0,0,1,1,0,0,-1,0,0,0,-1,
0,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,-1,1,-1,1,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,0,0,0,0,-1,0,0,0,
0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,-1,0,1,1,0,0,0,0,0,0,
0,0,0,-1,0,0,0,1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,1,1,2,0,0,0,
2,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,1,0,0,0,-1,0,0,0,1,1,
1,-1,-1,0,0,0,0,0,1,0,0,0,0,1,0,0,-1,0,0,0,0,1,0,0,
0,-1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,1,0,0,0,1,0,1,-1,
0,0,-1,0,-1,0,0,0,0,-1,0,0,0,0,-1,0,0,0,0,0,0,0,1,-1,
0,-1,0,0,0,0,0,0,0,-1,0,0,-1,0,-1,0,0,0,0,0,-1,0,1,
-1,0,1,-1,0,-1,0,0,0,0,0,1,0,0,-1,0,0,0,-1,0,0,0,0,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,
0,-1,0,0,-1,-1,1,-1,1,-1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,
0,0,0,-1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,-1,1,0,
0,1,0,-1,0,0,1,-1,0,0,-1,0,1,0,0,1,0,-1,1,0,0,-1,0,1,
0,-1,-1,0,0,0,0,0,0,-1,0,1,0,0,0,0,0,0,0,-1,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,0,-1,0,-1,0,1,0,1,-1,1,-1,0,0,0,
0,0,-1,0,0,0,1,0,0,0,-1,0,0,0,0,0,0,-1,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,1,0,-1,-1,0,0,2,-1,1,0,-1,0,0,0,-1,
1,1,-1,0,0,0,1,0,-1,0,0,0,0,-1,0,0,0,0,0,0,-1,0,0,0,
1,0,0,1,0,0,0,0,0,0,1,0,0,-1,0,0,0,0,0,0,0,0,1,-1,
-1,-1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,-1,0,0,-1,0,
1,1,0,0,-1,1,0,0,0,0,0,0,0,0,-1,0,0,0,0,-2,0,0,1,1,
-1,0,-1,1,1,1,0,1,0,0,0,0,0,0,-1,0,0,-1,0,0,0,0,0,0,
-1,0,0,1,-1,0,0,0,1,0,0,-1,0,0,0,0,0,1,1,0,0,0,0,0,
0,0,0,1,0,0,1,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,-1,0,-1,1,0,1,1,-1,-1,-1,0,-2,1,1,-1,0,0,0,2,0,
0,0,0,1,0,-1,0,0,0,0,-1,-1,-1,0,0,0,0,0,-1,1,0,0,0,0,
-1,-1,0,0,0,-1,0,0,-1,0,0,1,0,0,1,-1,0,0,1,0,1,0,0,
-1,0,0,1,0,0,0,0,-1,0,-1,0,0,0,0,-1,0,0,1,0,0,0,1,0,
0,-1,0,0,0,0,0,0,0,0,-1,0,-1,1,0,-1,2,0,-1,0,1,1,1,0,
1,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,-1,0,0,
0,1,1,-1,0,-1,0,0,0,-1,1,0,0,0,-1,0,-2,0,0,0,2,-1,1,
0,-1,1,1,1,-1,0,2,-1,1,0,-1,1,0,0,0,-1,0,0,-1,0,0,0,
0,0,0,-1,0,0,1,1,1,0,0,-1,-1,0,0,-1,1,0,0,0,-2,0,0,0,
0,0,-1,0,0,-1,0,-1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,
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,-1,-1,-1,-1,1,0,0,-1,0,1,-1,1,0,-1,-1,0,0,0,0,0,0,
0,0,0,0,-1,0,0,0,0,0,0,0,-1,0,0,-1,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,-2,1,0,0,0,0,-1,-1,1,2,2,0,1,-1,1,0,1,0,
0,-1,0,0,0,0,0,0,0,0,1,0,0,0,1,-1,0,0,0,1,1,0,-1,-1,
0,0,0,0,1,0,0,0,0,0,-2,0,0,1,1,0,1,0,-1,0,1,1,0,0,1,
0,0,0,0,1,0,0,-1,-1,0,0,-1,0,0,0,0,0,1,-1,1,0,0,1,2,
0,0,-1,0,0,0,-1,1,0,0,0,-1,0,2,0,0,0,0,0,0,2,1,-1,-1,
0,-1,0,0,0,-1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,-1,0,0,
0,0,0,-1,0,1,1,0,0,0,0,-1,0,0,0,1,0,-1,0,0,0,1,0,2,
0,-2,0,0,0,0,0,0,0,0,-1,-1,1,0,0,0,-1,-1,0,-1,0,0,0,
0,1,0,0,0,0,0,0,0,1,1,0,-1,0,0,0,1,0,0,0,-1,0,0,0,0,
0,1,0,-1,2,-1,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,0,0,-1,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
2,0,0,0,0,0,1,0,1,-1,-1,1,-1,1,-1,1,-1,0,1,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,
0,0,0,0,-1,0,0,0,0,1,-1,-1,0,0,-1,0,1,0,0,0,0,0,1,0,
-1,0,0,0,0,-1,-1,0,0,0,-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,-1,0,0,-1,0,-1,-1,0,0,0,1,-1,2,0,1,-1,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,
0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,-1,1,1,1,0,0,0,
0,0,0,0,0,-1,0,-1,0,0,0,0,0,0,1,0,0,0,1,-1,0,0,0,1,
0,0,-1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,-1,0,
1,0,0,0,0,0,0,0,0,-1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,
0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,0,0,2,-2,
-1,0,-1,0,-1,1,-1,0,0,0,0,1,0,-1,0,0,0,0,0,-1,0,0,0,
0,0,-1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,0,-2,0,0,
1,0,0,0,-1,1,1,1,1,1,0,0,1,0,0,0,-1,0,1,-1,0,-1,0,0,
0,0,0,0,0,1,1,1,0,0,0,1,1,-1,-1,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,1,1,0,-1,0,0,0,0,0,-1,-1,-1,0,0,0,
0,0,0,0,1,0,0,0,0,-1,0,1,0,0,0,-1,0,0,0,0,0,-1,0,0,
0,0,0,0,1,0,0,0,0,0,1,-1,0,0,0,-1,-1,0,0,0,0,0,0,0,
0,-1,0,0,1,0,0,-1,0,0,0,0,0,-2,-1,0,0,1,0,-1,0,0,0,0,
0,-1,-1,0,0,0,0,0,2,0,0,-1,-1,1,0,0,1,0,0,-1,-1,0,0,
0,0,0,-1,0,0,0,0,0,1,0,0,0,1,0,0,0,-1,-1,-1,0,0,0,-1,
-1,0,1,0,0,0,-1,-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,-1,1,0,0,-1,
0,0,0,1,0,-1,1,0,0,-1,0,0,0,0,-1,-1,0,0,0,0,0,0,0,0,
1,0,0,0,-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-1,0,
0,-1,0,0,0,0,0,0,-1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,
0,0,0,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,-1,0,0,0,0,-2,0,
0,1,1,-1,-1,0,1,0,0,1,1,0,0,0,0,0,1,-1,0,1,-1,1,0,0,
0,1,-1,-1,0,-1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,-2,0,0,0,1,-1,-1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,1,
0,0,0,0,-1,1,0,0,0,-1,1,0,1,0,0,0,1,0,-1,-1,0,0,0,0,
1,0,1,0,-1,0,-2,0,0,1,1,-1,0,0,0,1,1,1,0,0,1,0,0,0,
0,0,0,0,-1,0,0,0,-1,0,0,0,0,0,1,-1,0,0,0,1,1,0,0,-1,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,-1,-1,0,1,0,0,1,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,-1,0,0,0,1,-1,0,0,1,0,0,0,0,
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,-1,0,0,0,0,0,0,1,0,0,0,0 ] >;

return _LR;
