/*
www-ATLAS of Group Representations.
A9 represented as 42 x 42 matrices over GF(7).
*/

F:=GF(7);

x:=CambridgeMatrix(1,F,42,[
"010000000000000000000000000000000000000000",
"000100000000000000000000000000000000000000",
"000001000000000000000000000000000000000000",
"100000000000000000000000000000000000000000",
"000000001000000000000000000000000000000000",
"000000000100000000000000000000000000000000",
"000000000001000000000000000000000000000000",
"000000000000010000000000000000000000000000",
"000000000000000100000000000000000000000000",
"001000000000000000000000000000000000000000",
"000000000000000000100000000000000000000000",
"000000000000000000001000000000000000000000",
"000000000000000000000010000000000000000000",
"000000000000000000000000100000000000000000",
"000000000000000000000000001000000000000000",
"000010000000000000000000000000000000000000",
"000000000000000000000000000001000000000000",
"000000000000000000000000000000010000000000",
"000000000000000000000000000000000100000000",
"000000000000000000000000000000000001000000",
"000000100000000000000000000000000000000000",
"000000000000000000000000000000000000001000",
"000000000000000000000000000000000000000010",
"222454360433411542266420435343065302541106",
"000000010000000000000000000000000000000000",
"641603064261145135402662041023351300621343",
"505615312043042661205544321102405123054302",
"625264322142204351303346106502001405413240",
"121042064523026246465125262061616344141236",
"031324614053425533425052423030636406020565",
"164525155215453034052265104334353146565516",
"120221136020500110300551111221563154106232",
"653044334116023613204654315533626636234243",
"000000000010000000000000000000000000000000",
"233020562031302400624551361310562333561232",
"005424543501001324036413535602602153660206",
"442510521666056536634112533556251313504550",
"040663545623035266610135112604544310205406",
"031030033210354626231545042166345321506254",
"431044506662254622033441001035026111430512",
"000000000000100000000000000000000000000000",
"245425062144125632625021025351242304225253"]);

y:=CambridgeMatrix(1,F,42,[
"001000000000000000000000000000000000000000",
"000010000000000000000000000000000000000000",
"000000100000000000000000000000000000000000",
"000000010000000000000000000000000000000000",
"066060000000000000000000000000000000000000",
"000000000010000000000000000000000000000000",
"000000000000100000000000000000000000000000",
"000000000000001000000000000000000000000000",
"000000000000000010000000000000000000000000",
"000000000000000001000000000000000000000000",
"000000000000000000010000000000000000000000",
"000000000000000000000100000000000000000000",
"000000000000000000000001000000000000000000",
"000000000000000000000000010000000000000000",
"000000000000000000000000000100000000000000",
"000000000000000000000000000010000000000000",
"000000000000000000000000000000100000000000",
"000000000000000000000000000000001000000000",
"000000000000000000000000000000000010000000",
"000000000000000000000000000000000000100000",
"000000000000000000000000000000000000010000",
"000000000000000000000000000000000000000100",
"000000000000000000000000000000000000000001",
"121010600000000000000001000000000000000000",
"250264404666060134326014143402452200251413",
"131536231122062416660312562222145533306534",
"621256540546534503321506203431235363035106",
"120206521361046203306435110111156515401354",
"402115251056531055641506241232351435532060",
"305224524561600054506420423230114441460330",
"404106523415341451452113402261223530246311",
"040513165215205314243245434553602335233412",
"363535504143405313666103620342403421524460",
"662045324430620412210502024315303122314262",
"032310132253642626426006261264553446426012",
"566313552162352600450154606040021565641403",
"021401554641263551664462511226124062505052",
"336300123351454363565435100402110060141562",
"425563255321522135646350040541541620300011",
"210016023016132414110555123525552300142152",
"211413432650665131511136260640412660406023",
"515023412625342304456635664223516163612161"]);

G<x,y>:=MatrixGroup<42,F|x,y>;
print "Group G is A9 < GL(42,GF(7))";