/*
www-ATLAS of Group Representations.
L2(11) represented as 9 x 9 matrices over GF(11).
*/

F:=GF(11);

x:=CambridgeMatrix(3,F,9,\[
0,1,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,
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,
0,0,0,0,0,0,1,0,0,
10,1,1,10,0,0,0,0,1]);

y:=CambridgeMatrix(3,F,9,\[
1,10,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,
0,10,10,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,1,0,0,
0,0,10,0,0,1,0,0,0,
0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,
7,6,9,10,10,10,10,10,10]);

G<x,y>:=MatrixGroup<9,F|x,y>;
print "Group G is L2(11) < GL(9,GF(11))";