/*
www-ATLAS of Group Representations.
Sz(8):3 represented as 14 x 14 matrices over GF(13).
*/

F:=GF(13);

x:=CambridgeMatrix(3,F,14,\[
5,5,6,6,7,12,7,12,6,1,6,12,1,0,
7,7,0,5,0,0,11,0,0,0,0,0,0,0,
1,1,3,0,9,11,6,7,3,7,7,6,12,0,
3,9,3,8,11,3,6,4,2,9,2,4,9,0,
11,3,9,2,11,7,2,11,2,1,1,12,6,1,
1,1,10,5,2,12,2,8,10,6,1,7,11,0,
4,12,9,0,0,4,0,0,0,0,0,0,0,0,
10,0,7,2,10,9,6,12,7,9,8,4,9,0,
9,2,0,9,6,0,6,8,0,11,11,2,2,12,
10,7,4,5,6,10,11,6,0,0,5,12,12,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,
3,9,1,7,5,6,8,6,10,5,8,7,6,9,
9,0,4,7,3,4,1,3,5,2,11,11,11,2,
0,0,0,0,0,0,0,0,0,0,1,0,0,0]);

y:=CambridgeMatrix(3,F,14,\[
1,7,0,7,7,11,10,9,9,1,8,10,8,0,
3,3,8,9,7,9,7,4,12,10,9,4,1,5,
11,9,11,6,3,3,0,1,9,12,6,8,0,10,
9,12,0,8,3,1,5,4,4,9,11,8,0,8,
1,8,2,0,1,8,1,2,10,7,1,4,8,10,
2,7,6,0,3,1,1,8,2,9,1,11,4,2,
7,5,8,11,3,1,1,1,5,5,6,6,9,0,
10,8,12,7,7,1,6,4,9,6,6,1,0,7,
8,4,1,9,2,5,6,0,2,11,12,5,1,9,
3,5,7,10,2,7,2,9,3,9,3,8,2,5,
1,6,7,1,6,5,5,2,4,6,9,3,6,9,
10,9,11,5,0,7,11,11,7,10,10,1,4,8,
10,1,9,12,7,2,5,5,9,11,6,5,9,12,
6,3,2,10,7,3,4,8,7,0,1,11,8,4]);

G<x,y>:=MatrixGroup<14,F|x,y>;
print "Group G is Sz(8):3 < GL(14,GF(13))";