/*
www-ATLAS of Group Representations.
L3(4) represented as 45 x 45 matrices over GF(9).
*/

F<w>:=GF(9);

x:=CambridgeMatrix(1,F,45,[
"010000000000000000000000000000000000000000000",
"100000000000000000000000000000000000000000000",
"000010000000000000000000000000000000000000000",
"000000100000000000000000000000000000000000000",
"001000000000000000000000000000000000000000000",
"000000000100000000000000000000000000000000000",
"000100000000000000000000000000000000000000000",
"000000000001000000000000000000000000000000000",
"000000000000100000000000000000000000000000000",
"000001000000000000000000000000000000000000000",
"000000000000001000000000000000000000000000000",
"000000010000000000000000000000000000000000000",
"000000001000000000000000000000000000000000000",
"000000000000000000100000000000000000000000000",
"000000000010000000000000000000000000000000000",
"000000000000000000000100000000000000000000000",
"000000000000000000000001000000000000000000000",
"000000000000000000000000010000000000000000000",
"000000000000010000000000000000000000000000000",
"000000000000000000000000000010000000000000000",
"000000000000000000000000000000100000000000000",
"000000000000000100000000000000000000000000000",
"000000000000000000000000000000000100000000000",
"000000000000000010000000000000000000000000000",
"000000000000000000000000000000000001000000000",
"000000000000000001000000000000000000000000000",
"000000000000000000000000000000000000001000000",
"000000000000000000000000000000000000000010000",
"000000000000000000010000000000000000000000000",
"000000000000000000000000000000000000000000010",
"000000000000000000001000000000000000000000000",
"172065530707882078633560468036751015110315446",
"517606521624502624682216458522860270447036368",
"000000000000000000000010000000000000000000000",
"762688322152310318840535573830561633108357464",
"000000000000000000000000100000000000000000000",
"882232443578545687871130522567158537575705656",
"627346216786486312037433307466282338448473000",
"000000000000000000000000001000000000000000000",
"325387668238017048813506330507162362611133445",
"000000000000000000000000000100000000000000000",
"402548547477012542717314513236846308427158154",
"450613333087525754247157568356752123306573482",
"000000000000000000000000000001000000000000000",
"741134260312866487506666363730838434520883206"]);

y:=CambridgeMatrix(1,F,45,[
"001000000000000000000000000000000000000000000",
"000100000000000000000000000000000000000000000",
"000001000000000000000000000000000000000000000",
"000000010000000000000000000000000000000000000",
"000000001000000000000000000000000000000000000",
"100210012000000000000000000000000000000000000",
"000000000010000000000000000000000000000000000",
"122022011000000000000000000000000000000000000",
"020022002000000000000000000000000000000000000",
"000000000000010000000000000000000000000000000",
"000000000000000100000000000000000000000000000",
"000000000000000010000000000000000000000000000",
"000000000000000001000000000000000000000000000",
"000000000000000000010000000000000000000000000",
"000000000000000000001000000000000000000000000",
"000000000000000000000010000000000000000000000",
"000000000000000000000000100000000000000000000",
"000000000000000000000000001000000000000000000",
"000000000000000000000000000100000000000000000",
"000000000000000000000000000001000000000000000",
"000000000000000000000000000000010000000000000",
"000000000000000000000000000000001000000000000",
"000000100000000000000000000000000000000000000",
"000000000000000000000000000000000010000000000",
"000000000000000000000000000000000000100000000",
"000000000000000000000000000000000000010000000",
"000000000000000000000000000000000000000100000",
"000000000000000000000000000000000000000001000",
"000000000000000000000000000000000000000000100",
"000000000100000000000000000000000000000000000",
"000000000000000000000000000000000000000000001",
"505171485553107853082837548412683103666642825",
"222120111100100100010200001020000002000000000",
"002384772707011530375435863511401485446783120",
"275352814640254410281520357406703864873642366",
"056055416621705377228465878445325374050571867",
"000000000001000000000000000000000000000000000",
"466704222617801060143376370832734014501345812",
"834480166751454064745272021627327038474015186",
"000000000000100000000000000000000000000000000",
"488657713863437137203861772630267664475805684",
"140538100632645322712353746140556247067537543",
"000000000000000000000000000000000001000000000",
"046073457252257188564424701122772625061660784",
"637142512005680564847006083855735644176413055"]);

G<x,y>:=MatrixGroup<45,F|x,y>;
print "Group G is L3(4) < GL(45,GF(9))";