/*
2"A5 as 6 x 6 matrices over Z[w]. (Irred rep.)
*/

F<w>:=CyclotomicField(3);

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

A:=x;B:=y;