_LR := rec < recformat< F: GrpFP, AI: SeqEnum, G: GrpMat > |
      F := FreeGroup(2) >;
_LR`AI := [ [a, a*b*b*a*b*a*b*b] ] where a is (_LR`F).1 where b is (_LR`F).2;
//two consitutents interchanged by _LR`AI[1]

_LR`G :=
MatrixGroup<3, ext<K|Polynomial(K, [-1, -1, 1])> where K is RationalField() |
[[-1,0],[0,0],[
0,0],[-1,0],[0,-1],[
0,1],[0,-1],[
-1,0],[0,1]],
[[-1,1],[0,1],[
-2,0],[-1,0],[0,0],[
0,0],[1,-1],[
1,0],[1,-1]]>;

return _LR;
