/*
www-ATLAS of Group Representations.
2.L2(13) represented as 8 x 8 matrices over GF(13).
*/

F:=GF(13);

x:=CambridgeMatrix(3,F,8,\[
0,1,0,0,0,0,0,0,
12,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,
0,0,12,0,0,0,0,0,
0,0,0,0,0,1,0,0,
0,0,0,0,12,0,0,0,
6,5,2,1,5,10,12,7,
9,11,6,11,4,10,9,1]);

y:=CambridgeMatrix(3,F,8,\[
0,12,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,
12,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,
0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,1,
0,0,0,1,0,0,0,0,
9,4,4,12,12,12,12,12]);

G<x,y>:=MatrixGroup<8,F|x,y>;
print "Group G is 2.L2(13) < GL(8,GF(13))";