/*
www-ATLAS of Group Representations.
U5(3) represented as 20 x 20 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,20,[
"01000000000000000000",
"22000000000000000000",
"00001000000000000000",
"00000100000000000000",
"00202000000000000000",
"00020200000000000000",
"00000000010000000000",
"00000000001000000000",
"00000000100000000000",
"00000020020000000000",
"00000002002000000000",
"00000000000000100000",
"12000002001010000000",
"12221110020101200000",
"00000000000200200000",
"21221111022000010000",
"21122120010200101000",
"00000000000000000100",
"00112210020100200010",
"00102010020000000001"]);

y:=CambridgeMatrix(1,F,20,[
"00100000000000000000",
"00010000000000000000",
"02000000000000000000",
"00000010000000000000",
"00000001000000000000",
"00000000100000000000",
"20000000000000000000",
"00000000000100000000",
"00000020020000000000",
"00000000000010000000",
"00000000000001000000",
"00000000000000010000",
"00000000000000001000",
"02000120000000110000",
"00000000000000000100",
"00000000000000000010",
"02000200000000000000",
"00000000000000000001",
"00001000000000000000",
"11000002001010000000"]);

G<x,y>:=MatrixGroup<20,F|x,y>;
print "Group G is U5(3) < GL(20,GF(3))";