/*
www-ATLAS of Group Representations.
U5(2) represented as 43 x 43 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,43,[
"0100000000000000000000000000000000000000000",
"1000000000000000000000000000000000000000000",
"0000100000000000000000000000000000000000000",
"0000001000000000000000000000000000000000000",
"0010000000000000000000000000000000000000000",
"0000000001000000000000000000000000000000000",
"0001000000000000000000000000000000000000000",
"0000000000001000000000000000000000000000000",
"0000000000000010000000000000000000000000000",
"0000010000000000000000000000000000000000000",
"0000000000000000100000000000000000000000000",
"0000000000000000010000000000000000000000000",
"0000000100000000000000000000000000000000000",
"0000000000000000000010000000000000000000000",
"0000000010000000000000000000000000000000000",
"0000000000000000000000100000000000000000000",
"0000000000100000000000000000000000000000000",
"0000000000010000000000000000000000000000000",
"0000000000000000000000000010000000000000000",
"0000000000000000000000000000100000000000000",
"0000000000000100000000000000000000000000000",
"0000000000000000000000000000000100000000000",
"0000000000000001000000000000000000000000000",
"0000000000000000000000000000000000100000000",
"0000000000000000000000000000000000001000000",
"0000000000000000000000000000000000000010000",
"0000000000000000001000000000000000000000000",
"3211424243243210311230010441300000400010000",
"0000000000000000000100000000000000000000000",
"4101034012240242312334322130210100303040000",
"3244141141044010013103012120401200403040000",
"0000000000000000000001000000000000000000000",
"3200020133114324442123143430400210102010000",
"2342123443021011033203412420300201403010000",
"0000000000000000000000010000000000000000000",
"4103002300412401143011431020000400214000000",
"0000000000000000000000001000000000000000000",
"1421344101014403042413243430100200102110000",
"0000000000000000000000000100000000000000000",
"4110400320242334311422131440100300204011000",
"0024331022310330242022010230000300400030100",
"4112433332242224314332114410200300401010010",
"4101044401431302120324344300200100101020001"]);

y:=CambridgeMatrix(1,F,43,[
"0010000000000000000000000000000000000000000",
"0001000000000000000000000000000000000000000",
"0000010000000000000000000000000000000000000",
"0000000100000000000000000000000000000000000",
"0000000010000000000000000000000000000000000",
"0000000000100000000000000000000000000000000",
"0000000000010000000000000000000000000000000",
"0000000000000100000000000000000000000000000",
"0400440040000000000000000000000000000000000",
"0000000000000001000000000000000000000000000",
"1100210410000100000000000000000000000000000",
"0000000000000000001000000000000000000000000",
"0000000000000000000100000000000000000000000",
"1144110040400100000000000000000000000000000",
"0000000000000000000001000000000000000000000",
"0000000000000000000000010000000000000000000",
"0000000000000000000000001000000000000000000",
"0000000000000000000000000100000000000000000",
"0000000000000000000000000001000000000000000",
"0000000000000000000000000000010000000000000",
"0000000000000000000000000000001000000000000",
"0000000000000000000000000000000010000000000",
"0000000000000000000000000000000001000000000",
"0000000000000000000000000000000000010000000",
"0000000000000000000000000000000000000100000",
"0000000000000000000000000000000000000001000",
"3314104311012302140412123242342444403231000",
"0000000000000000000000000000000000000000100",
"0000000000000000000000000000000000000000010",
"0000000000000000000000000000000000000000001",
"2031110424142123144332430422440113421221301",
"2000212244310241120112024301103203002211040",
"0004214440410124230140022403130103244041401",
"3111043034040443404222114420432311131232322",
"4010434123223043011400024420410303013030040",
"4220400201220333200103432343421432300120433",
"2000011412440220420420441404434432344422141",
"1032001332014020302004424120123320123332233",
"0044201340121324314134233313134124302144040",
"2034304014441020203234410331122423334023104",
"0000001000000000000000000000000000000000000",
"1330033423024222002433234213102004312404413",
"2440130433001331114313244204213440231333401"]);

G<x,y>:=MatrixGroup<43,F|x,y>;
print "Group G is U5(2) < GL(43,GF(5))";