/*
www-ATLAS of Group Representations.
L2(27) represented as 13 x 13 matrices over GF(4).
*/

F<w>:=GF(4);

x:=CambridgeMatrix(1,F,13,[
"0100000000000",
"1000000000000",
"0001000000000",
"0010000000000",
"0000010000000",
"0000100000000",
"0000000010000",
"3311333130000",
"0000001000000",
"0000000000100",
"0000000001000",
"0000000000001",
"0000000000010"]);

y:=CambridgeMatrix(1,F,13,[
"0100000000000",
"0010000000000",
"1000000000000",
"0000100000000",
"0000001000000",
"0000000100000",
"0001000000000",
"0000000001000",
"0133001322000",
"0000010000000",
"0000000000010",
"2311223301230",
"2313031200002"]);

G<x,y>:=MatrixGroup<13,F|x,y>;
print "Group G is L2(27) < GL(13,GF(4))";