/*
www-ATLAS of Group Representations.
L2(11):2 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,
0,0,0,0,0,0,0,0,1,
3,8,2,9,8,3,10,1,1,
0,0,0,0,0,0,1,0,0]);

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

G<x,y>:=MatrixGroup<9,F|x,y>;
print "Group G is L2(11):2 < GL(9,GF(11))";