/*
6"Suz as 12 x 12 matrices over GF(25).
Representation 12a0.
*/

F<w>:=GF(25);

x:=CambridgeMatrix(3,F,12,\[
0,1,0,0,0,0,0,0,0,0,0,0,
4,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,
0,0,4,0,0,0,0,0,0,0,0,0,
0,0,0,4,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,4,0,0,0,0,0,
0,0,0,0,0,0,0,4,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,4,0]);

y:=CambridgeMatrix(3,F,12,\[
0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,
1,4,0,1,0,0,0,0,0,0,0,0,
1,0,4,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,
4,0,0,4,4,0,4,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,
0,14,11,2,2,17,6,0,1,0,13,0,
17,16,16,17,22,8,22,16,0,1,6,0,
0,0,0,0,0,1,0,0,0,0,0,0,
0,10,13,3,8,24,1,2,0,0,9,1]);

G<x,y>:=MatrixGroup<12,F|x,y>;