/*
www-ATLAS of Group Representations.
4a.L3(4):2a 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",
"0001210210000000",
"0000001000000000",
"0000000000000100",
"0000000000000001",
"0011201110002022",
"0000000000100000",
"0122122101020011",
"0000000000010000"]);

y:=CambridgeMatrix(1,F,16,[
"0100000000000000",
"2000000000000000",
"0001000000000000",
"0000010000000000",
"0000001000000000",
"0000000010000000",
"0000000000100000",
"0000000000010000",
"0010000000000000",
"0000000000001000",
"0000000000000010",
"0012122110011001",
"0000000001000000",
"2220220001200202",
"0000100000000000",
"0010002122110000"]);

G<x,y>:=MatrixGroup<16,F|x,y>;
print "Group G is 4a.L3(4):2a < GL(16,GF(3))";