/*
www-ATLAS of Group Representations.
5^(3+3).(2 x L3(5)) represented as 46 x 46 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,46,[
"4000000000000000000000000000000000000000000000",
"0400000000000000000000000000000000000000000000",
"4110000000000000000000000000000000000000000000",
"0001000000000000000000000000000000000000000000",
"0000100000000000000000000000000000000000000000",
"0004140000000000000000000000000000000000000000",
"0000004000000000000000000000000000000000000000",
"0000000010000000000000000000000000000000000000",
"0000000100000000000000000000000000000000000000",
"0000000004000000000000000000000000000000000000",
"0000000000010000000000000000000000000000000000",
"0000000000100000000000000000000000000000000000",
"0000000000000010000000000000000000000000000000",
"0000000000000001000000000000000000000000000000",
"0000000000001000000000000000000000000000000000",
"0000000000000100000000000000000000000000000000",
"0000000000000000000100000000000000000000000000",
"0000000000000000000010000000000000000000000000",
"0000000000000000000000100000000000000000000000",
"0000000000000000100000000000000000000000000000",
"0000000000000000010000000000000000000000000000",
"0000000000000000000000000010000000000000000000",
"0000000000000000001000000000000000000000000000",
"0000000000000000000000000000100000000000000000",
"0000000000000000000000000000010000000000000000",
"0000000000000000000000000000001000000000000000",
"0000000000000000000001000000000000000000000000",
"0000000000000000000000000000000001000000000000",
"0000000000000000000000010000000000000000000000",
"0000000000000000000000001000000000000000000000",
"0000000000000000000000000100000000000000000000",
"0000000000000000000000000000000000000100000000",
"0000000000000000000000000000000000000010000000",
"0000000000000000000000000001000000000000000000",
"0000000000000000000000000000000000000000100000",
"0000000000000000000000000000000000000000001000",
"0000000000000000000002000020000000004000000000",
"0000000000000000000000000000000100000000000000",
"0000000000000000000000000000000010000000000000",
"0000003411233124032020330203203302440201101300",
"0000000000000000000000000000000000100000000000",
"0000004231004010322230341444141441213110314300",
"0000000000000000000000000000000000010000000000",
"0000000000000000000000000000000000000000000400",
"0000004412233124044011100412001223024330003410",
"0000000000000000000000000000000000000000000001"]);

y:=CambridgeMatrix(1,F,46,[
"0100000000000000000000000000000000000000000000",
"0010000000000000000000000000000000000000000000",
"1000000000000000000000000000000000000000000000",
"0000100000000000000000000000000000000000000000",
"0010010000000000000000000000000000000000000000",
"1121000000000000000000000000000000000000000000",
"0000000100000000000000000000000000000000000000",
"0000000001000000000000000000000000000000000000",
"0040000000100000000000000000000000000000000000",
"0000001000000000000000000000000000000000000000",
"0000000000001000000000000000000000000000000000",
"0020000000000100000000000000000000000000000000",
"0100000010000000000000000000000000000000000000",
"0000000000000000100000000000000000000000000000",
"0020000000000000010000000000000000000000000000",
"0040000000000000001000000000000000000000000000",
"0300000000010000000000000000000000000000000000",
"0000000000000000000001000000000000000000000000",
"0000000000000000000000010000000000000000000000",
"0020000000000000000000001000000000000000000000",
"0030000000000000000000000100000000000000000000",
"0300000000000010000000000000000000000000000000",
"0020000000000000000000000001000000000000000000",
"0100000000000001000000000000000000000000000000",
"0300000000000000000200404001000000000000000000",
"0000000000000000000000000000000100000000000000",
"0030000000000000000000000000000010000000000000",
"0100000000000000000300402002000000000000000000",
"0020000000000000000000000000000000100000000000",
"0010000000000000000000000000000000010000000000",
"0010000000000000000000000000000000001000000000",
"0200000000000000000010000000000000000000000000",
"0200000000000000020000000000002000000400000000",
"0040000000000000000000000000000000000001000000",
"0200000000000000000000000000000000000000010000",
"0400000000000000000000000000000000000000000100",
"0100001231423000233230314301141132044333300400",
"0340000000000000000002000040000000002000000000",
"0440000000000000000000000000000000000000000010",
"0400002121201034230241104110042113032440001210",
"0320003132002124211001014404210001322322104330",
"0330000000000000000000000000100000000000000000",
"0120000132234014143030120130023433023230003000",
"0410000000000000000000000000010000000000000000",
"0410002300313031002304214413333304014311402410",
"0100010000000000000000000000214000331040000111"]);

G<x,y>:=MatrixGroup<46,F|x,y>;
print "Group G is 5^(3+3).(2 x L3(5)) < GL(46,GF(5))";