/*
www-ATLAS of Group Representations.
U5(3) represented as 10 x 10 matrices over GF(9).
*/

F<w>:=GF(9);

x:=CambridgeMatrix(1,F,10,[
"1000000000",
"0100000000",
"0010000000",
"0081000000",
"0000100000",
"0000010000",
"4000081000",
"0000000100",
"0400000810",
"0040000001"]);

y:=CambridgeMatrix(1,F,10,[
"0000100000",
"0000010000",
"0000001000",
"2000000000",
"0000000100",
"0000000010",
"0200000000",
"0000000001",
"0020000000",
"0002000000"]);

G<x,y>:=MatrixGroup<10,F|x,y>;
print "Group G is U5(3) < GL(10,GF(9))";