/*
www-ATLAS of Group Representations.
L2(13) represented as 7 x 7 matrices over GF(13).
*/

F:=GF(13);

x:=CambridgeMatrix(3,F,7,\[
0,1,0,0,0,0,0,
1,0,0,0,0,0,0,
0,0,0,0,1,0,0,
0,0,0,0,0,1,0,
0,0,1,0,0,0,0,
0,0,0,1,0,0,0,
11,11,9,11,9,11,12]);

y:=CambridgeMatrix(3,F,7,\[
0,0,1,0,0,0,0,
0,0,0,1,0,0,0,
12,3,2,10,0,0,0,
12,2,1,12,0,0,0,
0,0,0,0,0,0,1,
12,0,5,6,8,1,11,
1,8,10,2,12,0,12]);

G<x,y>:=MatrixGroup<7,F|x,y>;
print "Group G is L2(13) < GL(7,GF(13))";