/*
www-ATLAS of Group Representations.
3.A7 represented as 42 x 42 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,42,[
"010000000000000000000000000000000000000000",
"344000000000000000000000000000000000000000",
"141000000000000000000000000000000000000000",
"000001000000000000000000000000000000000000",
"000000010000000000000000000000000000000000",
"000000000100000000000000000000000000000000",
"000000000001000000000000000000000000000000",
"000000000000010000000000000000000000000000",
"000000000000000100000000000000000000000000",
"000100000000000000000000000000000000000000",
"000000000000000000100000000000000000000000",
"000000000000000000001000000000000000000000",
"000000000000000000000010000000000000000000",
"000010000000000000000000000000000000000000",
"000000000000000000000000010000000000000000",
"000000000000000000000000000100000000000000",
"000000000000000000000000000001000000000000",
"000000000000000000000000000000100000000000",
"000000000000000000000000000000001000000000",
"000000000000000000000000000000000010000000",
"000000100000000000000000000000000000000000",
"000000000000000000000000000000000000010000",
"000000000000000000000000000000000000000100",
"000000000000000000000000000000000000000001",
"314401130130412121132411244040211312423441",
"031433132442444122230343001443210102212332",
"434040114202324012234111002430221321302224",
"000000001000000000000000000000000000000000",
"011310431013142023142402240411201113101200",
"212224032212401204201104003143321221401312",
"433021120234200130341041001042341430203101",
"204210331113133041422200221232304311301110",
"000000000010000000000000000000000000000000",
"040432034404442334043442123432122111313321",
"241042044020004200444142102022044120113214",
"402033030143011441320130301213142400232021",
"234300324312331414210200401131321420223044",
"000000023414321120330302400034241403212242",
"344103444211122124412044234122224323342334",
"000000000000100000000000000000000000000000",
"031202212300010001000034240203211414411240",
"130441411044401414431004343311222133421142"]);

y:=CambridgeMatrix(1,F,42,[
"001000000000000000000000000000000000000000",
"000100000000000000000000000000000000000000",
"000010000000000000000000000000000000000000",
"000000100000000000000000000000000000000000",
"000000001000000000000000000000000000000000",
"000000000010000000000000000000000000000000",
"000000000000100000000000000000000000000000",
"000000000000001000000000000000000000000000",
"000000000000000010000000000000000000000000",
"000000000000000001000000000000000000000000",
"000000000000000000010000000000000000000000",
"000000000000000000000100000000000000000000",
"000000000000000000000001000000000000000000",
"000000000000000000000000100000000000000000",
"000000000000000000000000001000000000000000",
"000000000000000000000000000010000000000000",
"100000000000000000000000000000000000000000",
"000000000000000000000000000000010000000000",
"000000000000000000000000000000000100000000",
"000000000000000000000000000000000001000000",
"000000000000000000000000000000000000100000",
"000000000000000000000000000000000000001000",
"000000000000000000000000000000000000000010",
"010000000000000000000000000000000000000000",
"333143140243201114021224020433140111010403",
"312144323323413111022412331002422003221302",
"333403220243124023413010240331230112032321",
"441132010311442144131004443440224400214131",
"421341000423001421310242400130024012401020",
"030132432220341002144201022032411242230302",
"114442303431321410224104132034022424414340",
"304000030411443234240004322141142414021121",
"342440224041211331344133201302242330422412",
"431332310244110402401442432041144120124240",
"432033010033314100412001341221000321223300",
"044301223100013023014041313202234032303010",
"433040302142330123103444023103300124244101",
"321304440413122011301433433402001212013322",
"232001444321033112220011102424003204011004",
"423332233331423421044441404143110313423204",
"131133312100242433124304003130103242411144",
"123030444420440403011024210020114104203114"]);

G<x,y>:=MatrixGroup<42,F|x,y>;
print "Group G is 3.A7 < GL(42,GF(5))";