/*
www-ATLAS of Group Representations.
U5(3) represented as 30 x 30 matrices over GF(3).
*/

F:=GF(3);

x:=CambridgeMatrix(1,F,30,[
"010000000000000000000000000000",
"001000000000000000000000000000",
"100000000000000000000000000000",
"000100000000000000000000000000",
"000000100000000000000000000000",
"000001000000000000000000000000",
"222020200000000000000000000000",
"000000010000000000000000000000",
"000000001000000000000000000000",
"000000000001000000000000000000",
"000000000010000000000000000000",
"111000000202000000000000000000",
"000000000000100000000000000000",
"000000000000000010000000000000",
"000000000000000001000000000000",
"000000000000000000010000000000",
"222000000000020020000000000000",
"222000000000002002000000000000",
"000000000000000000000100000000",
"222000000000000200020000000000",
"000000000000000000000001000000",
"222000000000000000200200000000",
"021020100000010020000010000000",
"000000000000000000000000010000",
"021020100000000100020000100000",
"000000000000000000001000000000",
"111020100000020110121202001000",
"000000000000000000000000000100",
"000000000000000000000000000010",
"000000000000000000000000000001"]);

y:=CambridgeMatrix(1,F,30,[
"020000000000000000000000000000",
"000100000000000000000000000000",
"000010000000000000000000000000",
"000001000000000000000000000000",
"000000010000000000000000000000",
"000000001000000000000000000000",
"000000000100000000000000000000",
"000000000010000000000000000000",
"200000000000000000000000000000",
"000000000000100000000000000000",
"000000000000010000000000000000",
"000000000000001000000000000000",
"000000000000000100000000000000",
"001000000000000000000000000000",
"000000000000000000100000000000",
"102000001000020010000000000000",
"111010100000000000000000000000",
"000000000000000000001000000000",
"102000000010000200010000000000",
"000000000000000000000010000000",
"102000000000100000200100000000",
"000000000000000000000000100000",
"002100110001000000000000000000",
"000000000000000000000000001000",
"000000000000000000000000000100",
"022210101020012222010122100000",
"000000000000000000000000000010",
"000001200011000001000000000000",
"000000000000000000000000000001",
"012122020202021220121110020200"]);

G<x,y>:=MatrixGroup<30,F|x,y>;
print "Group G is U5(3) < GL(30,GF(3))";