/*
A5 as 6 x 6 monomial matrices over Z.
*/

F:=RationalField();

G<x,y>:=MatrixGroup<6,F|\[
-1,0,0,0,0,0,
0,0,1,0,0,0,
0,1,0,0,0,0,
0,0,0,-1,0,0,
0,0,0,0,0,1,
0,0,0,0,1,0]
,\[
0,1,0,0,0,0,
0,0,0,1,0,0,
0,0,0,0,1,0,
1,0,0,0,0,0,
0,0,0,0,0,1,
0,0,1,0,0,0]
>;

a:=x;b:=y;