/*
www-ATLAS of Group Representations.
U3(5):2 represented as 21 x 21 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,21,[
"010000000000000000000",
"100000000000000000000",
"000010000000000000000",
"000001000000000000000",
"001000000000000000000",
"000100000000000000000",
"000000001000000000000",
"000000000010000000000",
"000000100000000000000",
"000000000000010000000",
"000000010000000000000",
"000000000000000010000",
"000000000000000000100",
"000000000100000000000",
"465054610013141005321",
"441606511632055242432",
"000000000001000000000",
"201010545600534566462",
"000000000000100000000",
"316352324313344556465",
"221436523235010062350"]);

y:=CambridgeMatrix(1,F,21,[
"001000000000000000000",
"000100000000000000000",
"121100000000000000000",
"066600000000000000000",
"000000100000000000000",
"000000010000000000000",
"000000000100000000000",
"000000000001000000000",
"000000000000100000000",
"000000000000001000000",
"000000000000000100000",
"000000000000000001000",
"000000000000000000010",
"000000000000000000001",
"000010000000000000000",
"503135203405412064624",
"330134431314050023144",
"000001000000000000000",
"410111104434320622332",
"163200452056224053511",
"352240612335253031342"]);

G<x,y>:=MatrixGroup<21,F|x,y>;
print "Group G is U3(5):2 < GL(21,GF(7))";