//Standard generators of L2(169) are a and b where a has order 2, b has order 3
//ab has order 17 and abab^-1 has order 12.
//Standard generators of the double cover 2.L2(121) = SL2(121) are preimages
//A and B where B has order 3,  and AB has order 17.
_LR := rec < recformat< F: GrpFP, AI: SeqEnum, G: GrpMat > |
      F := FreeGroup(2) >;
_LR`AI:=[ [a^-1,b^-1], //diag
  [a^-1,
     b*a^-1*b^-1*a*b*a*b*a*b*a*b^-1*a*b*a*b*a*b*a*b^-1*a*b*a*b^-1*a*b],//field
  [a, b^-1*a^-1*b*a*b^-1*a*b^-1*a*b^-1*a*b*a*b^-1*a*b^-1*a*
                                   b^-1*a*b*a*b^-1*a*b*a*b^-1]] //field x diag
             where a is (_LR`F).1 where b is (_LR`F).2;

//irreducible, fixed by AI[2], mapped to inequiv rep by AI[1]
_LR`G := sub<GL(85,Integers()) |
\[ 0,0,1,0,0,0,-1,0,0,1,0,0,0,0,-1,0,0,1,0,1,0,1,0,0,
0,-1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
1,0,0,0,0,0,0,1,0,-1,1,1,-1,0,0,-1,0,1,1,0,0,0,0,0,
0,0,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,-1,0,0,-1,0,0,0,0,-1,0,-1,0,0,-1,0,
0,0,0,0,0,0,0,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,-1,-1,
0,1,0,0,1,0,0,0,0,0,0,-1,0,-1,-1,-1,0,0,0,0,0,0,0,-1,
0,1,0,-1,-1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,-1,0,0,0,1,0,-1,0,0,0,1,-1,1,-1,0,-1,0,1,1,0,0,0,
0,0,0,0,0,1,0,1,0,0,0,0,1,-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,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,-1,0,0,0,0,0,0,0,
-1,0,0,1,0,-1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,1,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,-1,-1,0,0,0,0,0,0,-1,-1,0,0,0,0,-1,0,0,0,1,0,1,1,
0,0,-1,0,0,0,0,0,1,0,0,0,1,0,0,-1,0,0,0,0,0,0,1,0,0,
0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,
0,-1,0,-1,1,0,1,0,0,1,0,1,1,0,1,1,1,0,-1,0,-1,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,
1,1,1,-1,0,0,0,0,-1,1,-2,1,-1,0,1,-3,0,-1,0,1,-1,0,-2,
-2,0,-1,0,-1,0,2,2,1,0,0,0,0,2,0,0,0,0,0,-1,-1,0,-1,
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,
0,1,0,0,1,0,0,0,0,0,0,0,-1,-1,1,0,-1,0,0,0,0,-1,0,-1,
-1,0,0,0,1,0,0,0,-1,0,0,0,0,1,0,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,1,
0,0,0,0,0,1,0,-1,0,0,0,-1,0,0,-1,0,-1,0,0,0,0,0,1,0,
-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,
0,0,0,0,-1,0,0,0,0,0,0,-1,0,0,0,-1,1,0,0,0,0,0,-1,1,
0,-1,1,-1,0,-1,0,-1,0,0,-1,0,-1,0,0,-1,0,0,0,0,0,0,0,
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,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,-1,
0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,-1,-1,0,1,
-1,-1,-1,1,1,1,2,-1,1,1,-2,1,1,0,0,1,0,0,1,1,1,0,0,1,
0,-1,-1,0,-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,1,0,1,0,-2,1,1,0,0,0,0,-1,1,-1,-1,1,0,
-1,0,0,0,0,2,1,-1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-1,
0,0,0,-1,0,0,-1,0,0,-1,0,0,0,0,0,0,-1,0,-1,0,0,0,1,
-1,0,0,0,0,-1,0,0,0,-1,-1,0,-1,0,0,-1,0,-1,-1,1,-1,0,
1,-1,0,-1,-1,0,1,0,0,0,-1,0,0,0,0,0,1,-1,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,-1,0,0,0,-2,0,0,2,-2,0,-1,0,0,1,2,-1,1,1,
-2,1,0,1,1,1,1,-1,0,0,1,0,1,0,0,0,-1,0,0,1,0,0,-1,0,
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,
0,1,0,0,0,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,
0,-2,0,0,1,1,2,1,-1,0,1,0,1,-1,0,1,0,-2,0,0,0,2,0,0,
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,
0,0,0,0,0,0,0,0,0,0,-1,0,0,-1,0,0,0,0,0,0,-1,-1,0,0,
0,1,0,0,0,0,0,-1,1,-1,-1,0,2,0,0,0,0,-1,-1,1,0,0,1,
-2,1,1,2,0,1,2,-1,0,0,0,1,1,1,0,0,1,-1,1,1,0,0,0,0,
0,0,0,0,-1,1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,-1,0,
0,2,1,-1,1,0,0,-1,1,0,0,-1,0,1,0,0,0,0,1,0,0,-1,0,0,
1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,-1,
0,0,0,0,0,0,0,1,-1,0,1,2,-1,-1,0,1,-1,0,2,0,0,-1,-1,
0,0,-1,1,1,0,-1,0,-1,-1,0,-1,0,-1,0,1,0,0,0,0,1,0,0,
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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,0,0,2,
-1,0,-2,0,0,-2,-2,0,-1,1,0,-1,3,-1,-1,-1,0,0,1,-1,-1,
-1,1,0,1,-2,0,3,1,1,0,1,1,0,1,0,0,0,0,0,-1,1,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,-1,-1,-1,-1,1,2,0,-1,2,0,-2,
0,1,0,1,-1,0,1,-1,0,-1,0,0,1,0,-1,1,0,2,0,-2,1,0,1,
-1,-1,0,0,0,0,0,0,0,0,-1,0,0,0,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,-1,0,1,0,0,0,0,
-1,1,-1,1,0,0,0,0,0,-1,2,0,-1,-1,1,0,0,0,-1,-2,-2,0,
-1,-2,1,0,1,-1,0,1,0,0,-2,-2,1,1,-1,0,0,0,0,0,0,0,0,
1,-3,0,0,0,-1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,-1,0,1,0,
0,0,-1,0,0,0,-1,0,0,-1,0,0,0,0,0,0,-1,0,-1,-1,0,1,-2,
1,0,1,1,1,0,0,1,-2,-2,0,0,-1,0,0,-1,-1,1,0,-1,-1,0,0,
1,0,0,1,0,0,-1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,-1,0,0,0,0,0,-1,
0,1,0,0,0,-1,0,-1,-1,0,0,-1,0,0,0,0,-1,0,0,0,0,1,0,1,
-1,1,-1,0,0,2,-1,-1,0,0,0,0,-1,0,1,0,0,0,1,0,0,1,0,0,
0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,0,
1,1,1,0,0,0,-1,0,0,0,1,1,0,1,-1,-1,0,0,0,0,0,0,-1,0,
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,
0,0,0,0,0,0,0,0,0,0,0,-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,-1,0,1,-1,0,-1,1,0,-1,-1,1,1,
-1,0,0,-1,1,-1,1,1,0,1,1,0,0,-1,-1,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,-1,0,1,
-1,0,2,-1,-1,0,0,0,0,0,0,0,0,1,-1,0,0,-2,-2,0,0,0,0,
-2,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,
0,0,0,0,0,0,0,0,0,0,1,0,-1,2,0,0,1,1,0,0,1,0,0,1,0,
0,0,0,0,0,1,0,0,-1,-1,0,2,-1,0,0,0,0,0,1,0,1,-1,-1,1,
-1,0,0,-1,0,-1,-1,1,0,0,1,-1,0,0,-1,0,0,1,0,0,-1,0,0,
0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,-1,
1,0,0,0,1,1,0,0,0,1,1,-1,1,-1,0,0,-1,0,0,0,1,0,-1,0,
0,0,1,0,-1,0,-1,0,1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,1,1,1,-1,-1,0,0,-1,-1,2,-1,0,0,-1,1,
0,0,1,-1,1,-1,0,-1,-1,1,-2,-1,-2,0,2,0,1,-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,
0,0,1,0,0,0,0,0,0,0,0,0,1,0,-1,0,0,0,-1,0,0,0,-1,-1,
-2,0,1,0,0,-1,0,-1,0,0,0,1,1,-1,1,-1,0,0,2,0,0,0,-1,
1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,-1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,-1,0,-1,0,-1,-1,0,0,0,0,1,0,-1,0,
-2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,0,0,
0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
-1,0,0,0,1,0,1,-1,1,0,-1,1,0,0,0,0,0,-1,0,1,0,0,0,0,
0,-1,-1,0,0,0,0,0,-1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,2,1,-1,-2,2,0,2,0,0,-2,-2,2,-1,0,4,
-1,-1,-2,-1,-2,-1,0,0,0,-1,1,-1,-1,0,0,2,0,0,-1,0,0,2,
1,0,0,0,0,0,-1,0,-1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-2,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,-1,0,
-1,-2,1,1,-1,-1,1,0,-2,1,0,1,2,0,0,1,-1,-1,0,1,0,1,1,
0,1,0,1,0,-1,0,0,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,-1,0,0,-1,1,0,0,0,1,0,0,1,
-1,-1,-1,-1,-1,-1,0,0,0,1,-1,0,-1,0,1,0,0,1,1,0,0,1,0,
0,0,0,0,0,0,1,0,0,-1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
-1,1,0,-1,-1,0,1,0,1,1,1,-1,-1,1,-1,0,0,0,1,0,0,-1,0,
0,0,1,0,0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
-1,0,0,0,1,0,0,0,0,0,0,1,-1,-2,0,2,1,1,0,1,1,-1,0,-1,
1,1,-2,1,0,1,0,0,-1,0,0,0,-1,0,-1,1,0,-1,0,-1,0,0,-1,
0,-2,0,0,1,0,0,1,0,0,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,
1,-1,-1,0,1,-1,0,1,1,1,-1,1,0,-1,-1,-2,1,-1,0,0,-1,0,
-1,0,1,-1,1,1,1,0,-2,-1,0,1,0,0,0,-1,0,0,0,0,0,1,-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,-1,0,1,0,0,0,-1,0,0,0,0,0,0,-1,1,0,-1,0,
0,0,-2,1,1,-3,1,0,-1,-1,0,-1,-1,2,1,0,0,-1,-1,0,0,1,
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0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,-1,-1,0,-1,1,0,0,0,-1,
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0,1,1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,-1,0,1,1,0,0,0,0,-1,1,1,1,-1,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,-1,-1,0,0,1,0,0,
1,0,0,1,0,0,0,-2,2,1,2,-1,0,1,0,1,0,0,0,-1,1,1,-1,-1,
0,0,0,0,0,-1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,-2,-1,0,0,0,1,0,1,0,1,0,0,1,-1,0,1,0,0,0,0,
0,0,0,-1,0,0,-1,0,0,0,-1,1,-1,0,0,0,-1,0,0,0,0,0,0,0,
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0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,
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0,1,1,0,1,1,0,1,-1,0,0,1,0,0,0,1,0,0,0,0,0,0,-1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,
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0,0,0,0,-1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,-1,-2,-1,1,0,0,1,-1,
-1,-2,0,-1,0,0,0,0,-1,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,
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1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,-1,0,0,
-1,0,0,-1,-2,-1,1,-1,0,0,-1,0,-1,-1,-1,0,-1,-1,1,-1,1,
1,0,1,0,0,1,1,0,0,0,-1,-1,0,0,0,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,0,0,-1,0,0,0,0,0,1,0,-1,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,0,0,0,0,0,1,0,-1,1,0,0,0,-1,-1,-2,0,1,0,1,
0,0,0,0,0,0,1,-1,0,1,0,1,1,0,0,0,1,-1,1,1,0,0,0,1,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,-1,0,0,0,1,0,1,-1,0,0,0,0,0,0,0,-1,0,-1,0,
-1,-1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,0,-1,-1,0,0,-1,0,0,1,0,-1,0,0,0,0,-1,-1,
1,0,2,0,0,1,0,0,0,-1,0,0,-1,0,0,-1,0,0,0,1,-1,-1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,0,
0,0,0,0,-1,-2,-1,1,-1,1,2,-1,0,-1,0,0,0,0,-2,0,-1,1,1,
1,0,0,1,-1,1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,-1,0,-1,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,-1,0,0,1,0,1,1,0,-1,-1,0,-2,
2,0,3,-1,0,0,1,1,1,0,-1,-1,0,1,-1,-2,0,0,0,1,0,0,0,0,
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0,-1,0,1,-1,-1,0,0,0,0,0,-1,1,0,1,0,0,0,0,1,0,1,0,0,
0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,
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0,0,1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,-1,-1,0,
0,0,2,1,0,2,1,0,1,0,0,0,-1,1,1,0,1,0,1,1,2,0,-1,1,
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0,2,0,2,-1,1,0,0,0,-1,2,-1,-1,0,0,1,0,0,-1,1,1,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,2,0,0,
1,-1,0,0,-1,-1,0,0,0,0,0,2,-1,0,0,0,0,-1,-1,-2,-1,1,
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0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,-1,0,0,0,1,1,-1,0,-1,-1,0,-1,-1,-3,-1,2,
0,0,0,-1,-2,-1,0,-1,1,-1,-1,2,0,1,3,-1,1,0,1,-1,2,1,0,
0,1,0,-1,0,0,0,0,-1,-1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,-1,0,0,0,-1,0,0,0,0,0,
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0,-1,1,-1,1,0,-2,-1,0,0,-1,-1,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,-1,0,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,-1,-2,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,-1,0,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,-1,
1,1,0,1,1,0,1,1,1,1,0,0,-1,-1,0,0,0,1,-1,0,0,1,0,0,
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,
0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,1,-1,1,0,0,0,1,1,0,-1,0,0,
-2,0,0,1,0,0,0,1,0,0,-1,-1,0,0,0,0,-1,0,0,0,1,-1,0,
-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,
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0,0,-1,0,-1,0,0,-1,0,0,0,0,-1,-1,1,0,2,0,0,1,0,0,0,
-1,0,0,-1,0,0,-1,0,0,0,1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,-1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,-1,0,0,-1,0,1,
-1,0,1,0,0,-1,-1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,
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,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,1,1,1,0,1,0,0,-1,0,1,0,0,-1,0,-1,1,-1,-1,0,0,-1,
-1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,-1,0,0,0,0,0,
0,0,0,-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,-2,1,0,-1,-1,1,1,0,0,0,
-1,0,0,0,0,0,1,1,1,-1,0,0,0,0,-1,-1,1,0,0,-1,1,1,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,0,1,1,0,0,2,
0,0,0,1,0,0,-1,0,-1,-1,0,0,1,0,-2,0,1,-1,0,0,0,-1,1,
0,-1,1,-1,0,1,0,0,1,1,0,0,0,-1,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,-1,0,0,-1,-1,0,0,1,0,0,0,0,0,0,-1,0,0,0,0,-1,1,0,0,
0,0,1,0,1,0,0,1,0,0,0,-1,1,0,-1,0,0,1,1,0,-1,0,0,0,
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,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,-1,
1,1,0,-1,0,0,0,2,1,2,-1,-1,0,-2,2,0,0,1,0,0,0,2,1,1,
1,0,2,1,-2,1,-1,0,-1,-1,0,0,0,-1,0,0,0,0,1,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,
-1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,-1,0,
1,0,-1,0,-1,-1,-1,1,1,1,0,1,1,1,-2,1,2,0,0,0,1,0,-1,
0,0,1,0,0,0,1,0,0,0,0,-1,0,0,0,0,0,0,0,-1,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,-1,0,-1,0,0,0,0,0,0,
0,-1,0,0,1,0,0,1,0,1,1,0,0,0,1,-1,0,0,0,-1,0,-1,0,0,
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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,-1,0,0,-2,
0,0,-1,-2,1,-1,0,1,1,2,0,0,0,-1,2,0,0,-1,-2,1,-1,-1,0,
-1,3,0,1,-1,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,2,0,-1,-1,0,-1,0,-1,-2,-2,-1,1,0,1,1,-1,
0,0,-1,0,1,0,0,1,1,0,1,-1,0,1,1,-1,1,1,0,0,2,0,0,0,
0,0,0,0,0,-1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,
2,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,1,0,0,-1,-2,-2,-2,2,
-2,-1,-1,1,-1,0,1,0,2,0,1,1,1,-1,0,1,1,-2,0,0,1,1,-1,
0,0,0,0,1,-1,-1,-1,1,-1,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,0,0,0,-1,0,0,0,0,0,-1,0,0,0,0,1,0,0,0,0,0,1,
0,0,0,1,0,0,-1,0,0,0,-1,0,2,-1,1,1,1,1,1,2,0,0,0,-1,
-2,1,0,1,0,0,-1,1,0,-1,0,-1,-1,1,1,0,0,0,-1,0,0,0,-1,
-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,
0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-2,
-1,-1,0,-2,0,1,0,-2,1,0,0,2,-1,0,2,0,0,1,0,0,-1,1,-2,
1,0,-1,0,0,1,0,0,-1,0,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,-1,0,1,1,0,0,1,0,-1,0,0,0,0,0,0,0,0,0,
0,1,0,0,1,0,0,0,-1,0,0,-1,-1,0,-1,0,-1,0,1,0,0,0,0,0,
1,0,1,0,0,-1,1,-1,0,-1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,
0,0,-1,0,0,0,-1,0,0,0,0,-1,0,0,-1,0,-1,0,1,0,1,-1,0,
0,0,1,0,-1,1,2,-1,0,0,0,-1,0,-1,0,0,0,0,0,1,0,0,0,0,
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,-1,0,0,0,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,-1,0,0,
1,0,-1,0,0,1,1,-1,1,0,-1,0,-1,0,1,-1,1,0,0,0,1,0,0,0,
0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,
0,-2,1,1,1,0,0,-1,-1,1,-1,-1,0,-1,-1,-1,1,-1,0,1,0,0,
-1,1,1,0,0,0,1,-1,1,0,0,-1,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,-1,0,0,0,0,0,0,1,0,0,-1,0,0,1,0,1,0,0,1,0,0,1,-1,
0,0,-1,0,0,1,0,0,0,1,0,0,-1,0,0,1,0,-1,-1,0,0,-1,0,0,
-1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,-1,0,0,
0,-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,-1,0,0,-1,0,-1,0,-1,1,0,0,0,-1,0,0,-1,0,-1,1,-1,
1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,0,0,0,-1,0,0,0,0,0,0,0,2,2,-2,0,0,0,-1,1,1,0,
0,-2,-2,0,-1,-2,-1,1,-1,-2,1,0,0,-1,0,1,-1,0,0,1,0,0,
-1,0,-1,0,-1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,-1,0,0,0,0,0,0,0,
0,0,0,2,2,1,-1,1,0,0,0,1,-1,-1,0,-1,0,1,-3,-1,-2,1,-2,
-1,1,0,1,-1,0,2,-1,0,-1,1,-1,2,-1,-1,0,3,-1,2,0,0,0,0,
-1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,
-1,0,0,0,0,0,-1,0,1,0,0,0,0,0,0,0,-1,1,0,0,0,1,0,0,
0,0,-1,-1,1,-1,1,0,-1,0,0,-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,-1,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,-1,
0,0,0,0,0,0,0,0,-1,0,0,-1,-1,0,0,-1,0,0,0,0,0,0,0,-1,
0,0,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,-1,0,0,-1,0,0,0,0,-1,-1,0,1,1,-1,0,0,0,1,-1,0,
-1,0,-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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,0,0,
1,0,0,0,1,0,1,1,1,0,-1,1,1,0,0,0,-1,1,1,-1,0,-1,0,1,
0,1,-1,0,-1,0,0,1,-1,-1,0,0,0,0,-1,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,-1,-2,-2,1,0,0,0,1,
0,-2,0,0,1,2,1,0,1,-3,0,0,0,0,2,1,0,2,-1,2,0,-1,1,-1,
0,-2,-2,1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,-1,0,0,1,0,0,0,0,
0,0,-1,1,0,-1,0,0,0,0,0,-1,0,-1,0,0,-1,0,-1,-1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,
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,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,-1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,-1,0,0,0,0,0,1,0,0,0,1,-1,0,
-1,-1,1,0,1,0,-1,0,0,1,0,0,0,0,0,0,-1,-1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
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,-2,-1,0,1,0,1,-1,0,0,-3,0,-2,2,-1,2,0,0,0,1,1,3,0,
1,1,0,1,-2,0,-2,1,-1,1,-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,1,0,0,-1,0,0,0,0,0,0,0,-1,0,0,-1,0,0,0,0,
0,-1,0,0,0,0,0,0,0,0,0,1,-1,-2,0,0,1,0,-1,1,0,1,0,-1,
1,0,-1,-1,2,-1,-1,0,-1,0,0,-1,0,-2,-1,0,-1,1,0,1,-1,-1,
-1,0,0,-2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,-1,1,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,1,0,1,0,0,1,0,0,
0,-1,0,0,0,0,0,-1,0,0,0,1,0,-1,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,1,0,-1,1,1,2,0,0,
0,0,0,0,1,0,0,1,0,1,0,-2,0,-1,-1,1,-1,0,-1,1,-1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,-1,0,0,-1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,
1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,-1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,2,0,0,-2,1,0,0,0,-1,0,-2,1,-1,0,
2,-1,1,-1,-1,1,-1,1,-1,0,1,0,-1,0,-1,1,2,0,-1,-1,0,0,
0,0,-1,-1,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,
0,0,-1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,-1,0,0,0,0,0,0,0,
-1,1,1,-1,-2,0,1,-1,0,1,1,0,0,-1,0,1,-1,0,1,0,1,0,1,
0,1,0,0,0,0,0,0,-1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,
0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,-1,0,1,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,-3,0,-1,0,-1,0,0,0,-1,0,1,1,
1,-2,-1,1,-1,0,0,-1,1,-1,1,0,0,1,0,-1,1,0,-1,2,0,0,0,
0,-1,0,0,0,1,0,0,-1,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,1,
0,0,0,0,-1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,
-1,-2,-1,1,0,0,1,-1,1,0,3,0,-1,1,-1,-1,1,1,-1,1,1,-1,
1,1,-2,0,-1,-2,1,-1,0,-1,1,-2,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,-1,0,0,-1,0,0,0,0,0,0,0,-1,1,-1,0,0,
-1,0,0,0,0,0,1,0,0,0,1,0,0,-1,0,0,0,1,0,-1,0,-1,0,0,
0,-1,-1,-2,1,0,0,2,-2,-1,-2,0,0,-1,0,-1,0,0,0,1,-1,-1,
1,1,0,0,0,0,0,1,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,-1,0,0,1,-1,-2,0,1,-1,-1,2,-1,0,0,-1,1,0,0,
-1,0,1,-2,0,-1,-2,1,-1,-1,0,0,2,1,1,-1,0,1,0,0,-1,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,-1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,-1,0,0,0,0,0,-1,0,0,0,-1,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
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,
0,0,0,0,0,-1,2,0,-1,0,1,0,-1,0,0,-2,-1,1,0,1,1,-1,0,
0,-1,-1,0,0,-1,1,0,0,1,-1,0,0,0,0,1,0,0,0,1,0,0,0,0,
0,0,-1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,-1,1,0,1,
0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,-1,0,1,0,0,-1,
0,0,0,0,0,0,0,0,-1,-1,1,0,1,0,0,0,0,1,1,1,0,0,0,0,0,
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,
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,
0,0,0,0,0,2,0,-1,0,-1,0,0,-1,-1,-1,-2,1,0,1,2,-1,0,-2,
0,0,-1,0,0,1,1,0,0,0,-1,2,2,-1,0,0,0,1,1,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,-1,0,0,0,0,3,0,
-1,1,1,0,0,0,1,1,0,-2,1,-1,1,0,1,1,1,0,-1,0,0,0,-1,0,
1,-1,0,-1,-1,0,1,0,1,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,
0,0,1,0,0,-1,0,-1,1,0,-1,0,0,0,1,3,0,-2,0,0,0,1,1,0,
-1,1,-2,0,0,-1,2,-2,-2,1,0,1,0,1,-2,0,0,1,0,-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,-1,
0,1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,
0,-1,1,1,1,-1,-1,1,-1,1,0,1,1,0,-1,0,1,1,1,0,0,1,0,0,
1,-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,-1,0,0,0,-1,0,
1,0,0,0,1,0,0,-1,0,0,0,0,0,0,-1,0,0,0,1,0,0,0,0,-1,
0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,-1,0,0,1,0,0,0,-1,0,0,0,0,-1,-1,0,
0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,-1,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,-1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,-1,1,1,-2,0,1,0,-1,0,2,-1,0,
0,-2,0,-1,-1,0,0,1,0,1,-1,-1,0,-1,0,-1,-1,2,0,1,-1,1,
1,-1,-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,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0 ] >;

return _LR;
