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

F:=GF(13);

x:=CambridgeMatrix(3,F,11,\[
1,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,1,0]);

y:=CambridgeMatrix(3,F,11,\[
0,0,0,0,0,0,12,0,1,0,0,
1,0,0,0,0,0,12,0,0,0,0,
0,0,0,0,0,1,12,0,0,0,0,
0,0,0,0,0,0,12,0,0,0,0,
0,0,1,0,0,0,12,0,0,0,0,
0,0,0,0,1,0,12,0,0,0,0,
0,0,0,1,0,0,12,0,0,0,0,
0,0,0,0,0,0,12,0,0,0,1,
0,1,0,0,0,0,12,0,0,0,0,
0,0,0,0,0,0,12,0,0,1,0,
12,12,12,12,12,12,11,12,12,12,12]);

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