/*
www-ATLAS of Group Representations.
4b.L3(4) represented as 36 x 36 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,36,[
"010000000000000000000000000000000000",
"100000000000000000000000000000000000",
"000100000000000000000000000000000000",
"001000000000000000000000000000000000",
"000000100000000000000000000000000000",
"000000010000000000000000000000000000",
"000010000000000000000000000000000000",
"000001000000000000000000000000000000",
"000000000001000000000000000000000000",
"000000000000010000000000000000000000",
"000000000000000100000000000000000000",
"000000001000000000000000000000000000",
"000000000000000000100000000000000000",
"000000000100000000000000000000000000",
"000000000000000000001000000000000000",
"000000000010000000000000000000000000",
"000000000000000000000001000000000000",
"000000000000000000000000010000000000",
"000000000000100000000000000000000000",
"000000000000000000000000000100000000",
"000000000000001000000000000000000000",
"041204400010000000200040000000000000",
"402140040000200100000400000000000000",
"000000000000000010000000000000000000",
"000000000000000000000000000000001000",
"000000000000000001000000000000000000",
"000000000000000000000000000000000010",
"000000000000000000010000000000000000",
"100432411432304003120222403320014130",
"022104423231040012403404020133130121",
"002420311221213344203341432344004341",
"400314100123440030441400333010311341",
"000000000000000000000000100000000000",
"110313031102022004240431043210222024",
"000000000000000000000000001000000000",
"222414430201310400120314010323134224"]);

y:=CambridgeMatrix(1,F,36,[
"340000000000000000000000000000000000",
"001000000000000000000000000000000000",
"000010000000000000000000000000000000",
"000001000000000000000000000000000000",
"031020000000000000000000000000000000",
"000000001000000000000000000000000000",
"000000000100000000000000000000000000",
"000000000010000000000000000000000000",
"000000000000100000000000000000000000",
"000000000000001000000000000000000000",
"000000000000000010000000000000000000",
"000000000000000001000000000000000000",
"000100000000000000000000000000000000",
"000000000000000000010000000000000000",
"000000000000000000000100000000000000",
"000000000000000000000010000000000000",
"000000000000000000000000100000000000",
"131030003000004000004000000000000000",
"000000000000000000000000001000000000",
"000000000000000000000000000010000000",
"000000000000000000000000000001000000",
"000000100000000000000000000000000000",
"000000000000000000000000000000100000",
"000000000000000000000000000000010000",
"000000010000000000000000000000000000",
"000000000000000000000000000000000100",
"000000000000000000000000000000000001",
"402310202013020434031144433311403022",
"132421014112131340114244412041303420",
"430300400004000000000000000000000000",
"123432201330212314204022243231114033",
"130412043202211440132031131332011401",
"312420331221030134100133113143334113",
"201223310321344344140143320404004030",
"234442121213234204411201244012124040",
"101241013223231440132004211020014224"]);

G<x,y>:=MatrixGroup<36,F|x,y>;
print "Group G is 4b.L3(4) < GL(36,GF(5))";