/*
www-ATLAS of Group Representations.
L3(3):2 represented as 11 x 11 matrices over GF(13).
*/

F:=GF(13);

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

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

G<x,y>:=MatrixGroup<11,F|x,y>;
print "Group G is L3(3):2 < GL(11,GF(13))";