/*
www-ATLAS of Group Representations.
M11 represented as 10 x 10 matrices over GF(25).
*/

F<w>:=GF(25);

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,
14,14,8,8,1,18,1,18,4,0,
17,17,2,2,18,7,18,7,0,4]);

y:=CambridgeMatrix(3,F,10,\[
0,0,1,0,0,0,0,0,0,0,
0,4,4,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,
1,0,4,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,1,
0,23,16,12,7,9,11,3,4,8,
20,15,1,12,19,9,21,1,1,3,
7,14,19,14,8,10,16,2,17,1]);

G<x,y>:=MatrixGroup<10,F|x,y>;
print "Group G is M11 < GL(10,GF(25))";