/*
www-ATLAS of Group Representations.
U3(3) represented as 21 x 21 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,21,[
"100000000000000000000",
"001000000000000000000",
"010000000000000000000",
"000001000000000000000",
"000000010000000000000",
"000100000000000000000",
"000000000100000000000",
"000010000000000000000",
"000000000001000000000",
"000000100000000000000",
"000000000000001000000",
"000000001000000000000",
"000000000000000001000",
"000116061016016000000",
"000000000010000000000",
"410113331614303440004",
"360102530002403440003",
"000000000000100000000",
"306003436103403430103",
"061106100600100006010",
"605600165206006161000"]);

y:=CambridgeMatrix(1,F,21,[
"010000000000000000000",
"000100000000000000000",
"000010000000000000000",
"000000100000000000000",
"666660000000000000000",
"000000001000000000000",
"110000600000000000000",
"000000000010000000000",
"000000000000100000000",
"000000000000010000000",
"000000000000000100000",
"000000000000000010000",
"000000000000000000100",
"000000000000000000010",
"000000000000000000001",
"266112531013403440004",
"315305235354430242520",
"016202604241214512523",
"014102564451133603524",
"605301556152133612434",
"120312405252024412524"]);

G<x,y>:=MatrixGroup<21,F|x,y>;
print "Group G is U3(3) < GL(21,GF(7))";