/*
www-ATLAS of Group Representations.
L3(4) represented as 15 x 15 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,15,[
"010000000000000",
"100000000000000",
"000010000000000",
"000000100000000",
"001000000000000",
"000000000100000",
"000100000000000",
"000000000001000",
"000001002100000",
"000001000000000",
"202121121200200",
"000000010000000",
"022120102222000",
"020011201222210",
"001101221202212"]);

y:=CambridgeMatrix(1,F,15,[
"001000000000000",
"000100000000000",
"000001000000000",
"000000010000000",
"000000001000000",
"022111022000000",
"000000000010000",
"200121001000000",
"022222002000000",
"000000000000100",
"000000000000010",
"000000000000001",
"101210202011102",
"220002120020010",
"012220021220111"]);

G<x,y>:=MatrixGroup<15,F|x,y>;
print "Group G is L3(4) < GL(15,GF(3))";