/*
www-ATLAS of Group Representations.
Sz(32):5 represented as 124 x 124 matrices over GF(5).
*/

F:=GF(5);

x:=CambridgeMatrix(1,F,124,[
"0444324141042320110301141000203124212443322134401000403314033220012014132310402232431221222103212231002111402400214402304211",
"2010122440430303122040420434232103434440010033044201322442032022332442041201211331024040111123400323142232123010423100211424",
"4024043231401113324323342310110413301020340412321404103122440434133314231304321100301303312034000104323133121313041010241220",
"2044143123112413343311410422021341221230313324033022440342414302232244413041303203130021034224004214313212433413034104414144",
"3001402440133043102200220231423030144021111211330123040042404221112113342441330013040442203012141331412233004121003432330233",
"3134441403302031311102342002414123041414040223012010303214212143423431033404431330113024432001144222120132042041040330303214",
"3031430431213123110143120113410003140232241444314240130331344220302120242011012410430232112020321004334244332412043330420242",
"1232034124003214212122422310234430001224014004100333342322303213212331320023224114302434312143022224222323430431144121333021",
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"3421144200140310011412420320100422121230424344020104414423230234301330020134024323143321221440240104222200301313300021342301",
"2424442321210342033343224304303314120421404424003110123220402202131340330020413331041134314224413422014044242010401233410321",
"1100010311110013023233130142324100420222232300034010410013443110111401431003131002440341231432433003432344301220423421343303",
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"2013343213143140040010100001213032324424422434434421424130424414044024404011030401113423211412424112030040104412413200040200",
"1011424204423243223021400001331043230323414131400443320222200012220012024130442044432233020224334221324412443221321312201004",
"1442024112411120221241313313413442113101113421213032310104100423433404342020413032441240400324431043110423200413031022333332",
"4001002340300124230004302134211033310021334203201034113232441010111101100321300214322211024241420213103440311412144422023133",
"3240331412044102230422313041413130230243144002414112204141400040432120423303422001023213312341332322300301112143240030333110",
"0440212431001213434334131013220014342041110331102402301004440012421210023321220100123011421312000231022211212130103302213443",
"2320110331432132113333133314013432231131211403414322321133413140442311134412223211412241341232213442203201412232420331111402",
"1233030443214233344114202010333213202342411421004033120143000134310423413043002134223204142312323223442001023323113203112420",
"4424041143231003131401013302013220424343313330212313120123130200012422111011122412104344140203221044244433431420034230424431",
"4022421124213020114012410220120014004240032140104441344110130101000424312230023141243012001132132101420131322230102301443321",
"0133022430411112040321311434404312304210131011303143001434024143401400213302122342043000323200122212232400233021334103321401",
"2334341433044310004242232442142341210113021420403001333323414340240103432012423304012043242310340203424030133403342320423441",
"1322140123010043130004001340342444133231210433030123304122210122002044104442143004424402223410020333123304203222314420410421",
"4200121221044401341033143221403013142130001124330414342143121123342443032144242404243010104331141204100330314034341344320410",
"4423421000030403031222422403140210033430141301330433131311101132001124221320434242232144110021131222242424120213412143030000",
"2424330140423202001102433043442301010033031302320301421221121134342214020401433133441022444213103144110213341130143230114434",
"2444023443144014410233430114122001320121113410430020213014233400332131113320121320300344014041121212333424302214321433222033",
"0102212341031424222330212400421110130334312144142430022111111433400212243123304430200342144341244344233210410302441000410241",
"4102331021242123443131240043224414313140021010121021302431420434232004122212334222423332244413232343020401211332134134341101",
"1044333023014241140220211113432314014220404104413244110034422444423333340303030130403104231413312213232022114123012432100444",
"1134222321410202111433241311224310024224322323003313311003040034231022200310221433010141320412443234114240130324241201112120",
"1344033420340322124043140040130310142140231411120242430034344413231303341433422434431231032324401014212344220232411303021141",
"2134031401120433304223212041124414032400123143142100330444022300110120300302123322010143320240242104132222214001233132031312",
"2221023041301104441402314113230031314234013120234324114444241022212222014133132203130344404311013034312234103324233030422303",
"2443432340004112132304241200413002401310332410211233343213311241041443421443423211121433022011010433344212400102241211440031",
"4001044421241444344120320402113122113433220043212312201012043003331434220410103421420203232224430204433033434011344012120441",
"2010243201424330441332033244130142434414011431104011220022134100422441140130220314143421233233104213330223232330400200442332",
"2101221334010022140424003334343220401420133214312302143330404130221322122420104113244410311423201222100433421302304120421002",
"1124142421434224221211033304443211120133334122011110014314424103232241244334110403321221010120333044240444222332141230024113",
"3300401442313130303430003111020202240134140244200140331041222001123100104413241241014431443021423422244302443330310314132413",
"3332423311022032314332403324044323044443321004200213210114443411202204023301041324142133214120132440233132420432244330400014",
"0404020442144412233004141202203443443023341421004422041324244402144200140440113041343134443213133002324323122141113342301202",
"1040221242231012223434420423021110104100343004143321013034132230043030104412314011231300133041331040440301314404431023312401",
"4221232323433122034322031104343204331204023000440311310202442313223112144402324300422111341300102133424143143012022020204213",
"0021223114202204132241401231301204031144201244101332042134442343333102333412020013120203104214113124313142404422442241040413",
"1113042213223304213223110124202104044201333303220130003211301413142111241002214131020142331123212143003034403023333121020022",
"4004223230231320420003343142343302033341001232304331330121300004101414421032440011444220204144141231241010202241443002143121",
"3102044144112431312340241400303320304442340344403030322004214302314403134442400442124401322124203202023333013043312413030430",
"1031041442431032414422002024021441100404421230021414204014012140320224121412220321214002141034333141303404003112200342310310",
"4204210244320422234424000341301041003042124112210432411123003331434423104323142333340333132320124002041340020032202202440220",
"2330424023033412421103024104434030202112434124213340440120020444113242341340433104341313112120131031213211314234313230342434",
"4134041300223443140424200433034142001213023214412110032223241144324010020240423100022013441424414042233240322303213420042430",
"3100133213244421441001221112023320022040122241042024242231300012341411302000032424210041222332421440143004102304002424121100",
"3422202202032020314440023214043411323201203202210430011001411131042321000403444000122134044301032231444211102221223340323132",
"0031301433211111404114121441112320413112231420234314223232021330333334433034132434403314100314031203002002331012413022200112",
"0420141320212020001144213212222404201410233331423422324224403000102304110402303203424212444340002110021104330230314130014301",
"4331114141113424341031104121302200200313403331243004143241242202333413324410344200114023412130301033230320024442422423040144",
"4231314011312033312000302342330023044013403401044322430443121324301413301041043020132031234422313234412240224043044201013032",
"3240212422412203213204022412112121002000221404202414411024222431330220213012011320130400402101441340313321321232422333014402",
"2241410000210344434331010323341144110404130322043201242003101343244244014032224142034003421011122341003130144411023332143433",
"0402240113321033214031410221114322230023002203122314210412322324340201412433030234312044443223020312333131311333140442130410",
"1414330112120000213433101223404024211420001221331442411231014040443311022143410133403424444324312311110402420233322340404440",
"2143310420043113200210432440012241121342403130232033403021440310013231343012044411400412042211403114101311320332200024403143",
"1303241324334210444432010031220231422123214420013314043040114323024224442243340411421411102313143313012132334143322432033422",
"3144412240403112143330221323001130212433201313230444202231410334443204413431033242124101122002341021122201432323001244204443",
"2210212022210113322331312421423301012412201110123304021202301043132114301132402303302101344030333311324403424320220203442243",
"4434344332210102133212411222303141014404032333331044140342330242344031423333210132143204022210030113123342042231133334413330",
"1401204212014222213433121234214340331401342334120242214112132010333224403304214024042421134234033243342331124130414010111121",
"4130330132132331220044302322313122023440324334244204100340302044244222011043441140134342014132222041212200133330431202431422",
"3434313404341022200311232100000123222140113404212123222111114130131024020034002442032311200232323412211410313203430032020043",
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"4421040200331234221121434002024304120120241111410034244332242313021230224221224133343111103243232401424131422140032423044032",
"0033410423442104110113341231314130013211314322332133443430232110111211000401110240034042213203112344110112412020113003010343",
"2434124112200102130220231000443032340422144112103244302232003340030330413014214101413143102204132123024421034114112402432133",
"2200342021112212130031100311030223110130230041031201221011220112334034420230043424343022334001212433430432413001431040011112",
"2101442102212304040343324132033043420002001130423203202312034420014211143220000003040322013404004042313413132004241003123222",
"4200441413332344222440000301322114432141322110430020422413320240344122143032043440030122124301341230143433421122301342022331",
"4034012402203114301041332130230100023124441433333132112440402022440242143322202123214442241134424223044201030441211300200302",
"2441440440300221221034321410014201443014321031211020034134124234010131124420020112304341020111222130020114431223123243324041",
"1244213412132111023200323313313131002110414114132244032442423343224134203414414321103444314104040103323302223230102400310311",
"2331440023222333421411233041204204410013134440443223242100434331300104321141342002314341430311114441022321223131114103032423",
"2313112301022034111103422024012400223020131010010000202114332200000311131212403031232243330233043301312403423414111324320130",
"4444023021010200320304104022434344422300304434013044003000320304133143240304204431410330243214313414023131130024144330441442",
"1233420003444230434144311304233404423322230301301212111123014000401314113033301444011314122213120041204032110103302442114231",
"3223310342140200014240444032010423421142243023422410030114332003413230120231442244423124003240314321321121330324324011413000",
"2411014010324213102331100324042414102242020423423004103440114430104434412130033101132413322034211412142114312304200141202321",
"2032343130100221322312303234144034401220342402003213003133212200144000140244434304110203210110043042403342244013343112412440",
"1344200103433234134311342113211421034401242404443143324024414324431030014224040434332441424032100021431124414420441102414213",
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"4213410044402400022400300224442421440403410222431240004442423103303404100310043032141430440141311414303104224032342133212402",
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"2043401313414424311230441313120342343334003313114223010301120133312134114044403244123112331344033031030010423313140020232203",
"0444001201111223433424402123143101323024324430331341421240012312223133343442232314344040323011110421300234203214302112010214",
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"1141314131242222433201422303041111014114034234101431032322121414322044044423120400421443421010102014431321204011032342211231",
"4444404431202202333430000413314221310104111322140012222024130204322430232020201410420100431012212234340333420334141004204101",
"3022344323324222242030241124003333333442243444431134112010100242122032120431131422201230211202322023411424122210431221301210",
"0324140123313104332424024240221144311313340111402330002002141230403124203442130040241440300300403044324133330211132443020313",
"1341020231004001411300104021210012410343302431331343323334220331204041011003312133013440311124020104214410302200322303441132",
"1443422441340114033422441220122203323243311132322204403130141340011303030112204300201221021231310331033334410044241031423420",
"2221020040104300312430130240201340222341201232440021340342314431130442304210331203431334111321242022200313211022444003441424",
"2311240321203420011144312202203222210320210041240233403341342320242421043331134211324101010012430300403334014321114403234410",
"0430010143143043144420110120103040231113134040234322202033314332033402310414432022323214110312341321324124102011412334241121",
"0021343020331013212142432013000101300423141144240013312141242302243041121344221242342143110334032313044340424020330212022302",
"2100032242342001141312044033202100121300443033010421423130444444444332032331413140343401311212032402112142444044223031430114",
"1030100313140233322314123332403200044102231411023042022001423444244422203042231420020241342420233203243343011010420223211304",
"3143022401442444411003044230312104334324011414213330042442423312240024243032143133430443140342442344134231113131012133344004"]);

y:=CambridgeMatrix(1,F,124,[
"0431124133423102002243034330020420004231420311002142131441143002112430144104401142311031112411134314244114013342231244022020",
"1043221112213412312024020024143014130332234412334431133342204242042324002040201432112134133233113211111200414330400102310444",
"2131114233232401412213340234134201422244323030010131041202423443014341421401400310102203423423142242122201410320424122312423",
"2323120334210003230040033002003030210122203201043140243302444424134424412243400210102101003432440422402344041400240423212341",
"1104212132043043042322201311231021013111403301403042133113222124130031404411203000110420241330410220000131001121434312142114",
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"4320034433104300424202103022033343244334332104232131143442324121434220042324042343044301210341124343432321101233122011410344",
"3441321032344003304403410423033013234131311431024134403321100311430320144441331404034434200414012403421421031303230240443412",
"4332444003230300311043040244011110221310022301210044022241401042314220130134304100304314323023320440230141141401144114101221",
"2113031424403041230322023132324132410310143324010023020403400424333232030200240330141023340230222221104440314014220230124412",
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G<x,y>:=MatrixGroup<124,F|x,y>;
print "Group G is Sz(32):5 < GL(124,GF(5))";