/*
www-ATLAS of Group Representations.
L2(13) represented as 13 x 13 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,13,[
"0100000000000",
"1000000000000",
"0000100000000",
"0000010000000",
"0010000000000",
"0001000000000",
"0000000010000",
"0000000001000",
"0000001000000",
"0000000100000",
"1201022112100",
"0111210022112",
"2000011001202"]);

y:=CambridgeMatrix(1,F,13,[
"0010000000000",
"0001000000000",
"1201000000000",
"1021000000000",
"0000001000000",
"0000000100000",
"2002202000000",
"0000000000100",
"0000000000010",
"0000000000001",
"0000010000000",
"0220221002111",
"2010201111220"]);

G<x,y>:=MatrixGroup<13,F|x,y>;
print "Group G is L2(13) < GL(13,GF(3))";