/*
www-ATLAS of Group Representations.
L2(16):4 represented as 16 x 16 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,16,[
"2000000000000000",
"0010000000000000",
"0100000000000000",
"0000100000000000",
"0001000000000000",
"0000000100000000",
"0000000001000000",
"0000010000000000",
"0000000000001000",
"0000001000000000",
"0000000000000010",
"1001201022111020",
"0000000010000000",
"0000000000000001",
"0000000000100000",
"0000000000000100"]);

y:=CambridgeMatrix(1,F,16,[
"0100000000000000",
"2000000000000000",
"0001000000000000",
"0000010000000000",
"0000001000000000",
"0000000010000000",
"0000000000100000",
"0000000000010000",
"0010000000000000",
"0000000000000100",
"0011221022101120",
"0200000100000000",
"0000000000000010",
"0002100011200000",
"0001200020101000",
"0002102010002011"]);

G<x,y>:=MatrixGroup<16,F|x,y>;
print "Group G is L2(16):4 < GL(16,GF(3))";