/*
www-ATLAS of Group Representations.
M11 represented as 10 x 10 matrices over GF(11).
*/

F:=GF(11);

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

y:=CambridgeMatrix(3,F,10,\[
0,0,1,0,0,0,0,0,0,0,
0,10,10,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,
1,0,10,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,1,
2,8,3,10,8,9,0,1,10,9,
8,6,3,7,10,4,6,6,1,5,
5,8,4,0,10,9,1,2,9,9]);

G<x,y>:=MatrixGroup<10,F|x,y>;
print "Group G is M11 < GL(10,GF(11))";