/*
www-ATLAS of Group Representations.
2.A12 represented as 32 x 32 matrices over GF(11).
*/

F:=GF(11);

x:=CambridgeMatrix(3,F,32,\[
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,
10,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,10,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,
0,0,0,10,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,10,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,10,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,
0,0,0,0,0,0,0,0,10,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,
0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
4,4,0,2,10,1,1,9,6,1,7,1,0,10,7,3,5,5,3,10,4,1,0,1,2,5,0,5,4,5,8,2,
0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,
4,8,6,4,8,0,10,2,1,10,7,4,8,5,2,3,5,6,2,1,4,0,9,10,9,0,10,4,2,6,1,5,
10,1,10,1,5,9,7,10,9,2,2,5,4,2,10,0,7,7,0,5,10,9,1,6,9,9,3,1,4,6,2,6,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,
10,5,0,5,7,4,8,7,8,5,1,0,1,5,9,4,7,8,8,10,2,9,7,1,2,4,4,10,10,5,5,8,
1,7,0,3,6,9,10,3,8,5,0,0,4,8,10,0,1,2,4,6,9,7,7,1,1,7,8,4,8,7,3,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,10,0,0,0,0,
1,9,6,10,6,10,1,10,8,4,6,6,9,3,6,8,8,0,5,2,2,3,0,10,3,5,4,8,7,2,2,8,
4,7,5,4,2,6,1,5,2,8,0,10,4,9,4,2,9,4,6,5,1,8,4,10,5,5,5,1,3,10,8,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0,0,0,0,0,0,0,0,0,0,10,0,
5,2,3,2,9,9,2,5,9,0,8,9,7,5,5,1,4,6,9,1,6,6,5,2,5,0,1,4,2,9,2,3]);

y:=CambridgeMatrix(3,F,32,\[
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,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,10,10,10,10,10,0,0,10,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
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,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,
9,7,10,10,2,0,3,0,2,5,6,7,8,10,10,0,5,3,4,2,7,0,3,1,5,7,7,5,7,0,3,10,
8,7,10,3,0,5,0,10,4,8,9,3,6,7,1,10,8,7,4,10,2,0,7,7,0,5,3,7,5,4,5,6,
6,9,6,0,8,3,9,6,9,5,7,1,10,2,3,6,3,3,6,1,1,3,9,9,3,9,9,7,0,7,6,7,
9,2,0,7,3,6,8,5,6,2,6,8,1,7,6,7,5,4,3,4,0,8,8,7,4,10,5,9,1,0,3,5,
5,8,10,8,7,3,0,3,0,6,7,2,4,1,0,9,2,10,1,4,9,2,5,1,6,9,6,5,7,10,5,8,
6,7,8,8,7,0,1,0,10,5,9,2,6,9,6,0,7,1,3,7,5,7,1,10,3,2,7,1,3,6,3,5,
1,8,2,5,5,3,3,8,5,7,8,6,10,6,0,8,8,2,5,2,10,8,7,2,8,10,9,6,6,4,6,7,
0,5,9,6,10,9,8,0,1,5,5,5,0,5,0,2,2,0,4,5,1,5,0,9,10,6,0,1,6,1,9,2,
10,3,6,0,6,9,6,3,4,7,8,10,3,4,8,9,9,9,1,4,0,9,5,10,6,3,0,4,4,9,7,6,
6,1,0,1,2,2,4,3,8,1,10,10,9,1,4,8,8,5,5,3,3,1,5,2,7,5,4,7,0,4,6,2,
8,10,8,5,8,9,3,5,2,8,8,8,6,0,10,10,9,7,3,5,0,10,1,4,9,7,9,1,7,8,10,1,
8,6,5,4,1,4,9,10,10,8,9,3,3,1,6,8,2,9,3,6,1,7,2,3,9,8,1,10,10,5,1,7]);

G<x,y>:=MatrixGroup<32,F|x,y>;
print "Group G is 2.A12 < GL(32,GF(11))";