/*
www-ATLAS of Group Representations.
2.L2(13) represented as 14 x 14 matrices over GF(49).
*/

F<w>:=GF(49);

x:=CambridgeMatrix(3,F,14,\[
0,1,0,0,0,0,0,0,0,0,0,0,0,0,
6,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,6,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,6,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,6,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,6,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,
23,43,38,3,28,1,24,43,9,27,37,7,1,13,
10,30,46,46,27,14,18,24,7,43,7,44,42,15,
0,0,0,0,0,0,0,0,0,0,6,0,0,0]);

y:=CambridgeMatrix(3,F,14,\[
22,6,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,
27,47,34,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,
45,36,37,46,6,19,39,36,11,16,19,17,8,28,
15,35,30,6,7,22,4,9,45,9,22,16,32,1,
14,25,18,0,8,5,34,10,37,6,18,40,13,13]);

G<x,y>:=MatrixGroup<14,F|x,y>;
print "Group G is 2.L2(13) < GL(14,GF(49))";