/*
www-ATLAS of Group Representations.
A14 represented as 13 x 13 matrices over GF(11).
*/

F:=GF(11);

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,
0,10,1,1,0,0,0,0,0,0,0,0,0,
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,
10,1,0,0,0,1,0,0,0,0,0,0,0,
10,1,0,0,0,0,1,0,0,0,0,0,0,
10,0,0,1,0,0,0,1,0,0,0,0,0,
1,9,0,1,0,0,0,0,1,0,0,0,0,
9,3,0,10,0,0,0,0,0,1,0,0,0,
0,9,0,2,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,
10,1,0,0,0,0,0,0,0,0,0,0,1]);

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,
0,10,1,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,0,0,0,
0,2,7,8,2,8,1,0,0,0,0,0,0,
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,
1,4,4,0,10,5,1,1,7,10,3,8,2]);

G<x,y>:=MatrixGroup<13,F|x,y>;
print "Group G is A14 < GL(13,GF(11))";