/*
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,
16,16,24,24,1,11,1,11,4,0,
10,10,2,2,11,23,11,23,0,4]);

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,
0,7,14,19,23,20,18,3,4,24,
9,13,1,19,12,20,5,1,1,3,
23,16,12,16,24,17,14,2,10,1]);

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