/*
www-ATLAS of Group Representations.
A14 represented as 13 x 13 matrices over GF(13).
*/

F:=GF(13);

x:=CambridgeMatrix(3,F,13,\[
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,
0,12,1,1,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,0,0,
12,1,0,0,0,1,0,0,0,0,0,0,0,
12,1,0,0,0,0,1,0,0,0,0,0,0,
12,0,0,1,0,0,0,1,0,0,0,0,0,
1,11,0,1,0,0,0,0,1,0,0,0,0,
11,3,0,12,0,0,0,0,0,1,0,0,0,
0,11,0,2,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,
12,1,0,0,0,0,0,0,0,0,0,0,1]);

y:=CambridgeMatrix(3,F,13,\[
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,
0,0,0,0,0,1,0,0,0,0,0,0,0,
0,12,1,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,
0,2,9,10,2,10,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,
1,10,7,5,3,10,5,12,9,12,3,10,2]);

G<x,y>:=MatrixGroup<13,F|x,y>;
print "Group G is A14 < GL(13,GF(13))";