/*
www-ATLAS of Group Representations.
M11 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,
0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,1,0,0,
0,0,1,0,0,0,0,0,0,
1,9,0,6,9,9,7,0,8,
0,0,0,1,0,0,0,0,0,
4,3,6,3,8,10,5,1,10,
6,9,3,2,5,1,1,0,2]);

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

G<x,y>:=MatrixGroup<9,F|x,y>;
print "Group G is M11 < GL(9,GF(11))";