/*
www-ATLAS of Group Representations.
2.A7 represented as 14 x 14 matrices over GF(25).
*/

F<w>:=GF(25);

x:=CambridgeMatrix(3,F,14,\[
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,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,
2,17,7,22,19,19,1,24,14,14,9,4,0,0,
24,15,21,4,19,23,22,24,17,10,22,24,6,17,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,
12,17,6,19,20,24,24,10,13,14,11,12,17,1,
19,11,7,21,7,18,9,19,14,8,15,1,2,15,
17,15,2,6,22,24,6,0,20,11,11,0,18,1,
9,3,8,17,21,14,12,5,12,10,12,22,2,16]);

y:=CambridgeMatrix(3,F,14,\[
2,2,0,0,0,0,0,0,0,0,0,0,0,0,
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,
0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,0,0,0,
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,
6,0,9,1,24,3,14,0,18,24,8,14,7,21,
20,9,8,10,12,7,21,13,10,1,2,5,8,13,
10,5,11,16,6,16,12,5,8,10,2,24,17,19,
24,21,5,16,20,10,5,10,19,9,20,0,10,21,
2,4,0,2,0,0,1,0,0,0,0,0,3,0,
12,21,9,22,16,17,1,5,11,2,24,5,18,13]);

G<x,y>:=MatrixGroup<14,F|x,y>;
print "Group G is 2.A7 < GL(14,GF(25))";