/*
www-ATLAS of Group Representations.
2.L3(4) 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,
11,19,7,23,12,15,18,10,1,0,
10,15,24,6,23,24,7,6,0,1]);

y:=CambridgeMatrix(3,F,10,\[
15,2,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,
22,14,8,0,10,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,1,
15,15,12,10,10,16,22,4,6,22,
6,1,8,8,22,7,17,0,3,17,
3,10,23,9,15,17,2,0,13,1]);

G<x,y>:=MatrixGroup<10,F|x,y>;
print "Group G is 2.L3(4) < GL(10,GF(25))";