/*
www-ATLAS of Group Representations.
2.L2(13) represented as 10 x 10 matrices over GF(13).
*/

F:=GF(13);

x:=CambridgeMatrix(3,F,10,\[
0,1,0,0,0,0,0,0,0,0,
12,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,
0,0,12,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,
0,0,0,0,12,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,12,0,0,0,
0,0,0,0,0,0,0,12,0,0]);

y:=CambridgeMatrix(3,F,10,\[
0,0,1,0,0,0,0,0,0,0,
0,12,12,0,0,0,0,0,0,0,
1,2,1,0,0,0,0,0,0,0,
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,
0,0,0,1,0,0,0,0,0,0,
5,9,6,6,5,10,2,4,0,0,
6,11,2,5,2,7,7,11,12,7,
2,0,9,3,12,6,5,3,12,11]);

G<x,y>:=MatrixGroup<10,F|x,y>;
print "Group G is 2.L2(13) < GL(10,GF(13))";