/*
www-ATLAS of Group Representations.
J1 represented as 14 x 14 matrices over GF(11).
*/

F:=GF(11);

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

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

G<x,y>:=MatrixGroup<14,F|x,y>;
print "Group G is J1 < GL(14,GF(11))";