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

F:=GF(11);

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,
0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,1,10,1,0,0,
1,1,0,0,0,0,0,10,1,10,0,
1,1,1,1,1,1,0,1,10,0,10]);

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,
10,10,10,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,
10,0,0,10,10,0,0,0,0,0,0,
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,
0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,1,0,0,0]);

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