/*
www-ATLAS of Group Representations.
A11 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,
0,0,0,1,0,0,0,0,0,
7,1,1,3,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,
8,1,0,2,1,0,0,0,0,
8,0,0,3,0,1,0,0,0,
10,1,0,0,0,0,1,0,0,
10,1,0,0,0,0,0,1,0,
5,1,0,5,0,0,0,0,1]);

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

G<x,y>:=MatrixGroup<9,F|x,y>;
print "Group G is A11 < GL(9,GF(11))";