/*
www-ATLAS of Group Representations.
L2(13) represented as 11 x 11 matrices over GF(13).
*/

F:=GF(13);

x:=CambridgeMatrix(3,F,11,\[
0,1,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,
4,4,3,3,4,4,5,10,5,10,12]);

y:=CambridgeMatrix(3,F,11,\[
1,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,
12,12,12,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,
0,0,0,12,0,0,0,0,1,0,0,
0,0,0,0,1,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,
8,0,0,6,1,8,1,8,8,12,12]);

G<x,y>:=MatrixGroup<11,F|x,y>;
print "Group G is L2(13) < GL(11,GF(13))";