{"label":"38.8.a","level":38,"weight":8,"dims":{"new":11,"cusp":33,"eisenstein":4,"modsym":70},"old":[[2,1,2],[19,10,2]],"T":[[3,1],[5,1]],"status":"proven","checks":["dim M^+ at levels [1, 2, 19, 38]: [1, 3, 12, 37] (certified at ell = 2147483647)","T = [(3, 1), (5, 1)]; h of degree 11 = 1 x 11 (phi(ord eps) x dim S_k^new); 4 primes, 0 rejected"],"newforms":[{"label":"38.8.a.a","letter":"a","dim":1,"charpoly":["-517","1"],"traces":["1","-8","77","64","440","-616","951","-512","3742","-3520","-8398","4928","-6223","-7608","33880","4096","26211","-29936","-6859","28160","73227","67184","-64213","-39424","115475","49784","119735","60864","65845","-271040","-32708","-32768","-646646","-209688","418440","239488","-436694","54872","-479171","-225280","-28808","-585816","650272","-537472","1646480","513704","58736","315392","80858","-923800","2018247","-398272","-918703","-957880","-3695120","-486912","-528143","-526760","-787635","2168320","3106862","261664","3558642","262144","-2738120","5173168","2726001","1677504","-4944401","-3347520","-1800958","-1915904","-1436223","3493552","8891575","-438976","-7986498","3833368","3402110","1802240","1035841","230464","-9454038","4686528","11532840","-5202176","5070065","4299776","-40980","-13171840","-5918073","-4109632","-2518516","-469888","-3017960","-2523136","4281646","-646864","-31425316","7390400","-2483638","-16145976","-12503178","3186176","32219880","7349624","2224691","7663040","14141055","29560960","-33625438","3895296","-7383538","4225144","-28253720","4214080","-23286466","6301080","24926661","-17346560","51039233","-24854896","-2218216","-2093312","16434000","-28469136","-22490574","-2097152","50070944","21904960","-3907608","-41385344","-6522909","-21808008","52683400","-13420032","-29867969","39555208","9352140","26780160","4522672","14407664","52260754","15327232","28971800","11489784","6226066","-27948416","24826200","-71132600","-11130298","3511808","98081562","63891984","-14391520","-30666944","45292186","-27216880","-70740131","-14417920","-61066563","-8286728","23356532","-1843712","-284524240","75632304","-68369244","-37492224","-24022788","-92262720","-25666378","41617408","45867582","-40560520","109816725","-34398208","-60647895","327840","-35047920","105374720","13037962","47344584","239228374","32877056","-192145360","20148128","-220119978","3759104","113867985","24143680","-75231053","20185088","87742542","-34253168","-210835240","5174912","169048856","251402528","139490435","-59123200","209902077","19869104","62618595","129167808","-12675520","100025424","-240285046","-25489408","57601882","-257759040","-225997743","-58796992","-138673766","-17797528","286119680","-61304320","-31105308","-113128440","-110589171","-236487680","-163111053","269003504","159102002","-31162368","432107450","59068304","273407581","-33801152","93633650","226029760","-614960346","-33712640","-27793878","186291728","25843840","-50408640","261962470","-199413288","265907115","138772480","-115585568","-408313864","-182100688","198839168","35577520","17745728","42683557","16746496","-727960926","-131472000","99160502","227753088","539260774","179924592","888028680","16777216","-372576604","-400567552","-415295994","-175239680","246391990","31260864","-358686408","331082752","-404229320","52183272","-3155460","174464064","509147730","-421467200","312525067","107360256","-455691621","238943752","-969759050","-316441664","342007336","-74817120","-122393336","-214241280","-428705648","-36181376","452256042","-115261312","-232382920","-418086032","-27396408","-122617856","276677848","-231774400","329686742","-91918272","417394647","-49808528","-346559400","223587328","-1005534530","-198609600","399597499","569060800","618408672","89042384","-191240126","-28094464","1367019280","-784652496","315746196","-511135872","-962744706","115132160","525058867","245335552","913905557","-362337488","1565802480","217735040","-356879589","565921048","-552966310","115343360","171301207","488532504","-179781249","66293824","-718600925","-186852256","1088861235","14749696","55857936","2276193920","-1197198853","-605058432","-1634108948","546953952","1199440440","299937792","291486676","192182304","-568532426","738101760","274681784","205331024","-706293435","-332939264","-2175536440","-366940656","216207466","324484160","-1038960170","-878533800","-745110905","275185664","116693217","485183160","-792421520","-2622720","1919352897","280383360","-1281937875","-842997760","47045881","-104303696","3930020941","-378756672","-631938120","-1913826992","-191664764","-263016448","-107799536","1537162880","-873686553","-161185024","100128227","1760959824","1265418000","-30072832","-409753435","-910943880","-1032852435","-193149440","-1731774198","601848424","1414745482","-161480704","-3514059120","-701940336","2433317824","274025344","684401610","1686681920","-1683086943","-41399296","-300885816","-1352390848","1496928400","-2011220224","-321394204","-1115923480","-502263993","472985600","1498733152","-1679216616","203541884","-158952832","455770040","-500948760","3667356212","-1033342464","-1670425280","101404160","-2299833613","-800203392","-749040885","1922280368","-4159776720","203915264","720114780","-460815056","-815512020","2062072320","194494277","1807981944","219790112","470375936","3026715225","1109390128","2954625762","142380224","4024078058","-2288957440","-2624958138","490434560","1904043962","248842464","2230828600","905027520","440436967","884713368","-1515637900","1891901440","302570636","1304888424","-2833613258","-2152028032","-18031200","-1272816016","1911617400","249298944","785103790","-3456859600","241929584","-472546432","-857032946","-2187260648","-2603952120","270409216","146139161","-749069200","3138374085","-1808238080","1311761012","4919682768","3881635612","269701120","-1108147040","222351024","1169165986","-1490333824","2592426951","-206750720","3487498322","403269120","-5460984256","-2095699760","-792043025","1595306304","-3437786626","-2127256920","-1999478780","-1110179840","2717546762","924684544","-4702125351","3266510912","1883924240","1456805504","-1343061494","-1590713344","1798452964","-284620160","4306130492","-141965824","1725863295","-341468456","-13827139040","-133971968","-1712711058","5823687408","2282882500","1051776000","-5264431788","-793284016","1753647747","-1822024704","-1092800720","-4314086192","-1849754676","-1439396736","5933371830","-7104229440","-1365848073","-134217728","-821262365","2980612832","-5501398320","3204540416","-493264928","3322367952","3531803814","1401917440","3430822292","-1971135920","551108087","-250086912","8455887825","2869491264","-857309388","-2648662016","718483922","3233834560","-2947330170","-417466176","179272184","25243680","978864040","-1395712512","-2698689840","-4073181840","-679045484","3371737600","-1746579598","-2500200536","1003923074","-858882048","6222064200","3645532968","-5181460724","-1911550016","11625877604","7758072400","-451630855","2531533312","3235406610","-2736058688","-14795192720","598536960","1083966736","979146688","-4046642656","1713930240","-16949238306","3429645184","4585474452","289451008","-3248756720","-3618048336","985084791","922090496","-6156943280","1859063360","3857568692","3344688256","-5792791081","219171264","-7414996175","980942848","-5154480229","-2213422784","6756175734","1854195200","-8990790138","-2637493936","7715267794","735346176","-10246045040","-3339157176","-1465848684","398468224","224344172","2772475200","13016761912","-1788698624","4202533762","8044276240","10967730840","1588876800","10740763495","-3196779992","-1578722760","-4552486400","9224284132","-4947269376","10200695742","-712339072","22457262520","1529921008","3367468706","224755712","4821631815","-10936154240","-365514128","6277219968","1662526402","-2525969568","-976015040","4089086976","-4024837734","7701957648","10507566670","-921057280","-7688543555","-4200470936","-38971980","-1962684416","-1790524375","-7311244456","4435344914","2898699904","-11446186434","-12526419840","-1438321648","-1741880320","-17401826211","2855036712","-9895852560","-4527368384","-503179334","4423730480","-6739184836","-922746880","-6453564018","-1370409656","-5471985638","-3908260032","22031215360","1438249992","9502754531","-530350592","6614558730","5748807400","-2395108716","1494818048","10209743352","-8710889880","-1719347520","-117997568","-5374346466","-446863488","-8466756025","-18209551360","-7708632353","9577590824","-12559551081","4840467456","-2870079960","13072871584","-4228104985","-4375631616","12250854154","-9595523520","-26091427076","-2399502336","4393074932","-2331893408","13826399125","-1537458432","-7422401189","4548259408","4071845346","-5904814080","21052383737","-2197454272","-13404008588","-1642648192","-13141906360","5650347480","7209791050","2663514112","5717088769","17404291520","-14302503618","2935525248","-29885475516","-1729659728","4114941600","-2595873280","-755086488","8311681360","-2140128606","7028270400","7956142652","5960887240","2995284146","-2201485312","1989975680","-933545736","-2361939738","-3881465280","10700786430","6339372160","12730695620","20981760","2100278804","-15354823176","22994731760","-2243066880","20474847855","10255503000","1292938855","6743982080","-11890522278","-376367048","-8900088736","834429568","7603451375","-31440167528","-4135035149","3030053376","-16287137243","5055504960","17044279392","15310615936","7761280872","1533318112","2739469040","2104131584","-22892956398","862396288","8137106720","-12297303040","3286633889","6989492424","-1460143828","1289480192","10923528000","-801025816","-35377010196","-14087678592","2115681141","-10123344000","1249404032","240582656","7635358654","3278027480","-4897331120","7287551040","-1726334534","8262819480","41523079598","1545195520","-18853780173","13854193584","13448143305","-4814787392","43155887280","-11317963856","4901452605","1291845632","10243726405","28112472960","-28688398508","5615522688","-17043478113","-19466542592","-3776956300","-2192202752","-31977791538","-5475212880","197594072","-13493455360","15124445284","13464695544","7883951075","331194368","19928561840","2407086528","-22901234819","10819126784","-27618853416","-11975427200","-7021744638","16089761792","-19334002226","2571153632","-31125657640","8927387840","4916831301","4018111944","1539529296","-3783884800","-153347160","-11989865216","12061400754","13433732928","-26869287720","-1628335072","39204375210","1271622656","-10829353455","-3646160320","16076381607","4007590080","24064430159","-29338849696","10276874080","8266739712","-4460215648","13363402240","-22145429166","-811233280","17412226992","18398668904","-12664515343","6401627136","-74671446850","5992327080","28629920981","-15378242944","-27517060305","33278213760","26334564872","-1631322112","2119369038","-5760918240","-30082467360","3686520448","-3916292380","6524096160","9771819320","-16496578560","-12914312284","-1555954216","-33010334896","-14463855552","-10570026720","-1758320896","48538310583","-3763007488","34823715234","-24213721800","28041431822","-8875121024","-3515191758","-23637006096","-11293206320","-1139041792","-16145538924","-32192624464","19738159390","18311659520","-2109523416","20999665104","805160382","-3923476480","20181736080","-15232351696","21304194296","-1990739712","-28570919780","-17846628800","-16963904223","-7240220160","16021919332","-3523495736","15628734000","-7077706944","6230561131","12125103200","32139387819","-15135211520","9819470862","-2420565088","-9862198058","-10439107392","-26685073800","22668906064","-17833591034","17216224256","-21388535874","144249600","-8698992718","10182528128","-402870224","-15292939200","-15421084800","-1994391552","30769007423","-6280830320","-2153658260","27654876800","-24080124333","-1935436672","47617467744","3780371456","5736703280","6856263568","962665271","17498085184","-9293773396","20831616960","309938472","-2163273728","79395011124","-1169113288","105260484560","5992553600","-3716135208","-25106992680","-4478725375","14465904640","24312457092","-10494088096","11207361634","-39357462144","-50427239650","-31053084896","-46786892076","-2157608960","-26239438015","8865176320","-554605022","-1778808192","40429532759","-9353327888","-96852790320","11922670592","-5222177599","-20739415608","70370727889","1654005760","34332494257","-27899986576","1849848104","-3226152960","50101913400","43687874048","-20080842984","16765598080","8937615729","6336344200","-27479728353","-12762450432","49940079302","27502293008","-33101663320","17018055360","-42578405870","15995830240","-28404438519","8881438720","-26442800847","-21740374096","8324793722","-7397476352","38606718480","37617002808","-39477339744","-26132087296","-13843156173","-15071393920","-18364616308","-11654444032","8893885140","10744491952","-55332271225","12725706752","-47286732124","-14387623712","344150040","2276961280","52915827810","-34449043936","-10319565678","1135726592","74381496640","-13806906360","4301061072","2731747648","-41755915936","110617112320","-23280334868","1071775744","-92184311681","13701688464","61375791400","-46589499264","-5088021944","-18263060000","-52287556090","-8414208000"],"derived":{"al":[[2,1],[19,1]],"fricke":1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"38.8.a.b","letter":"b","dim":2,"charpoly":["-171919","-114","1"],"traces":["2","-16","-61","128","175","488","-2592","-1024","-1145","-1400","1045","-3904","14647","20736","15190","8192","29616","9160","-13718","11200","87267","-8360","69985","31232","166975","-117176","84851","-165888","138821","-121520","-199396","-65536","341728","-236928","-103635","-73280","-67840","109744","-565793","-89600","-539350","-698136","602639","66880","-1352365","-559880","-1031975","-249856","1761412","-1335800","-780123","937408","2138263","-678808","5695445","1327104","418399","-1110568","-3936369","972160","-1027655","1595168","983049","524288","-504280","-2733824","764949","1895424","-241907","829080","-3572084","586240","9069522","542720","-1500425","-877952","887283","4526344","-2753414","716800","-1314122","4314800","-7643046","5585088","4438875","-4821112","3800423","-535040","1393620","10818920","-19696869","4479040","-602176","8255800","-1200325","1998848","-6921466","-14091296","-23387893","10686400","-7028888","6240984","-847140","-7499264","-22724310","-17106104","-4772303","5430464","-23499363","-45563560","21890474","-10616832","3145756","-3347192","34513220","8884544","-1122778","31490952","-37643346","-7777280","63564607","8221240","30564884","-12761344","54823125","-7864392","21583776","-4194304","-19279594","4034240","-2401455","21870592","17778528","-6119592","-11029760","-15163392","14761988","1935256","47352759","-6632640","69553750","28576672","-24850186","-4689920","132663790","-72556176","-75005978","-4341760","97686141","12003400","-1508324","7023616","-24468225","-7098264","-117703460","-36210752","10036556","22027312","-117426665","-5734400","-79344747","10512976","39476596","-34518400","-130295410","61144368","-58837734","-44680704","-7871553","-35511000","7853555","38568896","-4066512","-30403384","-194845725","4280320","125178813","-11148960","79766862","-86551360","61583120","157574952","-77505644","-35832320","291384310","4817408","49098405","-66046400","-117348585","9602600","-295101136","-15990784","-155940834","55371728","155295980","112730368","20752354","187103144","-35541680","-85491200","-108359955","56231104","-131705235","-49927872","164527510","6777120","-155517178","59994112","-7167655","181794480","159491391","136848832","-73598390","38178424","39244345","-43443712","218314692","187994904","-273795837","364508480","206177421","-175123792","215460808","84934656","-314724250","-25166048","63469649","26777536","-112957301","-276105760","-506958132","-71076352","500105013","8982224","480879875","-251927616","464123794","301146768","419767404","62218240","-426723946","-508516856","132661946","-65769920","-165120130","-244519072","-100463773","102090752","260283102","-438585000","-427639529","62915136","553256654","-172670208","179362470","33554432","-744697832","154236752","206848764","-32273920","-569577296","19211640","68048805","-174964736","-596046640","-142228224","-94809480","48956736","275202678","88238080","-850360111","121307136","815188875","-118095904","1067945750","-15482048","288275465","-378822072","521863204","53061120","-654268930","-556430000","-495359643","-228613376","-104188210","198801488","783685854","37519360","-371038768","-1061310320","-196825978","580449408","469851417","600047824","-267638910","34734080","-291532202","-781489128","347875859","-96027200","-786414771","12066592","464898694","-56188928","-1722656635","195745800","-403690632","56786112","-467544798","941627680","519113042","289686016","-982681829","-80292448","1638326865","-176218496","251287599","939413320","2265942508","45875200","143391643","634757976","-203136144","-84103808","910310225","-315812768","289729833","276147200","1565910675","1042363280","510646015","-489154944","-1170264194","470701872","-1208502120","357445632","866603744","62972424","695988970","284088000","-1928849252","-62828440","-275863968","-308551168","-168739060","32532096","-439605949","243227072","194162123","1558765800","728440789","-34242560","2096162451","-1001430504","-3050761630","89191680","1110088701","-638134896","1490745354","692410880","94091762","-492664960","-1548307991","-1260599616","835951935","620045152","-1762503820","286658560","-552219374","-2331074480","-3084446709","-38539264","-1386183179","-392787240","-1247699250","528371200","317657269","938788680","-808118829","-76820800","-2030084094","2360809088","-395685058","127926272","-7120802745","1247526672","-290165453","-442973824","-421215255","-1242367840","1206675075","-901842944","-171004134","-166018832","5461246280","-1496825152","1792939489","284333440","-598564353","683929600","-3577243348","866879640","-878790008","-449848832","4057269755","1053641880","5375783242","399422976","-2375840368","-1316220080","54776921","-54216960","5132251575","1244137424","-261213540","-479952896","-2016381102","57341240","4628012484","-1454355840","-356226473","-1275931128","-1731983575","-1094790656","2795873925","588787120","678746151","-305427392","3431785346","-313954760","2432047434","347549696","-1704878696","-1746517536","-1918406000","-1503959232","-480027115","2190366696","180285490","-2916067840","289849262","-1649419368","3826556915","1400990336","-662619300","-1723686464","-4183656666","-679477248","2746759658","2517794000","3571505182","201328384","-396995990","-507757192","1493039520","-214220288","542128012","903658408","1145748273","2208846080","1285825909","4055665056","2274546665","568610816","958576360","-4000840104","-1373886877","-71857792","-1501547967","-3847039000","-2463440254","2015420928","69423349","-3712990352","-1145281525","-2409174144","1960632686","-3358139232","981404720","-497745920","-2221284038","3413791568","254482593","4068134848","-6724588640","-1061295568","3781710188","526159360","-1296015800","1320961040","-3458439896","1956152576","2778763083","803710184","-5908997675","-816726016","3534139152","-2082264816","-3667781335","3508680000","4433131104","3421116232","371347893","-503321088","3142736450","-4426053232","-1503782130","1381361664","-4459596774","-1434899760","-11737153008","-268435456","-581993009","5957582656","-7474863270","-1233894016","9856226975","-1654790112","811404270","258191360","-1112584916","4556618368","-4357214315","-153693120","1972673475","-544390440","-3554193828","1399717888","-1743185885","4768373120","1941278184","1137825792","-5177909408","758475840","-450030490","-391653888","-3662133468","-2201621424","-4889897206","-705904640","-6206482607","6802880888","-2261919502","-970457088","-8461205340","-6521511000","9000870344","944767232","7228128899","-8543566000","-952173239","123856384","5849292546","-2306203720","-7849145780","3030576576","5234289521","-4174905632","4491648808","-424488960","4099128564","5234151440","-7857764358","4451440000","12154271570","3962877144","3372004284","1828907008","-302044000","833505680","-5424882296","-1590411904","9774364655","-6269486832","10811040875","-300154880","-4357951394","2968310144","6993783258","8490482560","10068408810","1574607824","-13135990258","-4643595264","-8246141540","-3758811336","-3996437259","-4800382592","1367657164","2141111280","-831628364","-277872640","-10592613112","2332257616","-3864293055","6251913024","3995223079","-2783006872","9694464228","768217600","3601159058","6291318168","4748836338","-96532736","11418090950","-3719189552","14469408406","449511424","-5825725413","13781253080","-10870499500","-1565966400","5825092487","3229525056","-9318805580","-454288896","1040641779","3740358384","13964371226","-7533021440","1267669303","-4152904336","-2119955940","-2317488128","-1881807500","7861454632","-2343912352","642339584","779347140","-13106614920","12473205391","1409747968","-8580297471","-2010300792","-18688103490","-7515306560","14751314126","-18127540064","13180382162","-367001600","-692566758","-1147133144","7890718841","-5078063808","4909711870","1625089152","-14119909568","672830464","-659113332","-7282481800","1184926800","2526502144","-5749042923","-2317838664","-3873854985","-2209177600","-5364600969","-12527285400","-352389743","-8338906240","-2830831771","-4085168120","-7149445539","3913239552","710832465","9362113552","15969356863","-3765614976","-11807233106","9668016960","-30252759907","-2859565056","-8473442078","-6932829952","3854508925","-503779392","3510677783","-5567911760","6522635790","-2272704000","-2426427439","15430794016","-12422494432","502627520","8866937275","2206911744","12999833404","2468409344","20201808065","1349912480","-12051105597","-260256768","28765686513","3516847592","-4438462875","-1945816576","-6716370990","-1553296984","-11536169412","-12470126400","-2454442190","-5827526312","465314560","273940480","-21926899750","-16769299608","10612544508","8011444032","-25736993652","24406093040","-21612495172","-713533440","-16220996312","-8880709608","37933428820","5105079168","-19200925233","-11925962832","14874312440","-5539287040","-1862401968","-752734096","16812577532","3941319680","32680284925","12386463928","2585123642","10084796928","-7864352918","-6687615480","8842958907","-4960361216","-1638844962","14100030560","21252601580","-2293268480","-22813234014","4417754992","8538019087","18648595840","3880774187","24675573672","17979792976","308314112","-9515903145","11089465432","2718261696","3142297920","6171923097","9981594000","20544335872","-4226969600","21477217564","-2541258152","-6776976430","-7510309440","13740775493","6464950632","-2812210402","614566400","-8011619196","16240672752","27893170017","-18886472704","-21740893545","3165480464","-29273399961","-1023410176","-4346823268","56966421960","15674519080","-9980213376","25561981743","2321323624","-34191927800","3543790592","-32275879206","3369722040","3699401650","9938942720","-51701731786","-9653400600","-1333432351","7214743552","-31481680790","1368033072","-18133700143","1328150656","2412311502","-43689970240","674707392","11974601216","1943842178","-14343515912","35557675580","-2274667520","-11007293109","4788514824","-11854419675","-5471436800","2392700820","28617946784","5509936677","-6935037120","-39425648220","7030320064","-31201483122","3598790656","-31410787992","-32458158040","-520456089","-8429135040","36550889117","-43006265936","2074507820","-3195383808","-4133500901","19006722944","-1804039098","10529760640","26004349749","-438215368","40480433278","433735680","495609650","-41058012600","-30563811191","-9953099392","-7176010155","2089708320","-6668236510","3839623168","24167526816","16131048816","34430401530","-458729920","-2450780152","-37024099872","42822944950","11634846720","22306217611","2849811784","1194881996","10207449024","-26846728335","13855868600","-80037255537","8758325248","15943343064","-22366991400","25039041382","-4710296960","-6672606396","-5429969208","9275871535","2443419136","-580521210","-27454282768","3815257901","2511638080","-44409382836","-19456379472","-24926209428","-2780397568","9954815010","13639029568","14964337064","13972140288","102340835276","15347248000","12999627915","12031673856","28846311436","3840216920","-68504333625","-17522933568","19303482587","-1442283920","17263805265","23328542720","-22165661925","-2318794096","-2579929231","13195354944","-31790959200","-30612455320","-5035226644","-11207922688","-36203247252","5300954400","75248420081","13789491712","7078316525","33469253328","-11459062230","5435817984","-915687169","-21974077264","-53080495792","-20142352000","26964530589","-28572041456","27625024362","-1610627072","-365992130","3175967920","-40818547361","4062057536","-11257535830","-11944316160","23303869734","1713762304","3423972792","-4337024096","32469135230","-7229267264","1646794611","-9165986184","-11779761665","-17670768640","26860617012","-10286607272","-10278572350","-32445320448","46367262250","-18196373320","30581324298","-4548886528","-22964152985","-7668610880","-12081524908","32006720832","-1714166125","10991095016","88245559185","574862336","-29624885318","12012383736","21760216909","30776312000","3167230913","19707522032","647437672","-16123367424","18874007880","-555386792","13674481368","29703922816","66174905559","9162252200","-1241861583","19273393152","19420296634","-15685061488","-14214649295","26865113856","-38981441810","-7851237760","-16101431118","3981967360","-2502391278","17770272304","2864122976","-27310332544","19918994340","-2035860744","31340307552","-32545078784","5350863657","53796709120","669461992","8490364544","-64801907379","-30253681504","-11396141275","-4209274880","-14545020584","10368126400","-13550844660","-10567688320","39500430366","27667519168","49358144706","-15649220608","-1164392530","-22230104664","-101346801150","-6429681472","19844383684","47271981400","38031100406","6533808128","-66907071401","-28273113216","40558130585","16658118528","-22964340019","29342250680","-20697543166","-28069440000"],"derived":{"al":[[2,1],[19,1]],"fricke":1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"38.8.a.c","letter":"c","dim":2,"charpoly":["-16353","80","1"],"traces":["2","-16","-11","128","-69","88","-348","-1024","4663","552","2723","-704","-14113","2784","-26550","8192","-38560","-37304","13718","-4416","-123757","-21784","-73897","5632","-73081","112904","-100331","-22272","159813","212400","-259468","-65536","-6000","308480","389019","298432","-528168","-109744","284081","35328","1005650","990056","286217","174272","135351","591176","-1397509","-45056","172860","584648","-883053","-903232","-1385969","802648","-120873","178176","-75449","-1278504","2700953","-1699200","-3975947","2075744","571019","524288","-132480","48000","-134557","-2467840","-2977707","-3112152","4202740","-2387456","900498","4225344","2260081","877952","-599473","-2272648","-6893730","-282624","-7805978","-8045200","-2465330","-7920448","4615719","-2289736","16436697","-1394176","17431724","-1082808","-434771","-4729408","1391168","11180072","-473271","360448","6351934","-1382880","6249933","-4677184","7539544","7064424","3474500","7225856","6881778","11087752","16837927","-6421184","-24316811","966984","33532742","-1425408","-1654156","603592","12701868","10228032","-35175514","-21607624","22041302","13593600","-35258001","31807576","2637540","-16605952","2337513","-4568152","-69586920","-4194304","-67937458","1059840","-13962225","-384000","-2386932","1076456","-2059128","19742720","-48217332","23821656","-30093191","24897216","1124478","-33621920","-19008390","19099648","-57460554","-7203984","42782778","-33802752","14614153","-18080648","-32729460","-7023616","-77856177","4795784","9059364","18181184","40117508","55149840","192242505","2260992","60236045","62447824","29860204","64361600","-36309402","19722640","49569942","63363584","-21160081","-36925752","31983517","18317888","-60614184","-131493576","-13297803","11153408","185186061","-139453792","203614802","8662464","-99453256","3478168","212447780","37835264","-73661658","-11129344","-53594573","-89440576","-8304961","3786168","-15599836","-2883584","-228621218","-50815472","183633804","11063040","-225266710","-49999464","68843404","37417472","478675853","-60316352","-270226821","-56515392","-59200770","-27796000","-135065310","-57806848","18677057","-55054224","170035305","-88702016","-264977886","-134703416","189215307","51369472","45650116","194534488","-280567195","-7735872","246910581","-268261936","78051224","11403264","-190827842","13233248","156802663","-4828736","23840799","-101614944","-169365876","-81824256","-311841219","281404112","67899525","172860992","157679978","-176330416","-365887680","-108748800","-71773698","282064008","17872822","-254460608","-137164194","-21100320","-96801067","132847616","225889446","-18700104","-16794063","36545216","-103994906","556695360","531596394","33554432","-25193568","543499664","-336888220","-8478720","182131656","111697800","273235431","3072000","-506043096","19095456","-549977664","-8611648","-494369114","16473024","448299415","-157941760","853264699","385738656","-97641646","-190573248","1187307237","240745528","-604554676","-199177728","389456414","-8995824","-717681069","268975360","-182106450","152067120","-289343710","-152797184","56365680","459684432","1352310626","57631872","-21055151","-342262224","-693306786","270422016","-134760474","-116913224","443618949","144645184","879283945","261835680","-1054052598","56188928","-434570043","622849416","-564069016","-38366272","-2097349030","-72474912","596622218","-145449472","580667003","-320940064","807762591","-441198720","-283983585","-1537940040","234901068","-18087936","1137414267","-481888360","-264483040","-499582592","558433193","-238881632","-1295702329","-514892800","335032067","290475216","396452633","-157781120","-1568329690","-396559536","-1429165152","-506908672","281897320","169280648","-2047956882","295406016","-353301588","-255868136","-355753788","-146543104","1041897204","484913472","-2348239627","1051948608","1037307231","106382424","750309899","-89227264","2361872835","-1481488488","580593918","1115630336","2492262861","-1628918416","765284226","-69299712","94091762","795626048","218362015","-27825344","795776187","-1699582240","761196244","-302682112","2254818210","589293264","-2343516851","89034752","807108685","428756584","3010922586","715524608","-729460059","66439688","3175624645","-30289344","-944537230","124798688","-1513830518","23068672","538670751","1828969744","1397310845","406523776","-614486243","-1469070432","1837599301","-88504320","-1021850574","1802133680","-121459704","399995712","-15482107","-550747232","-848849263","-299339776","-1668192276","-3829406824","1830110104","482530816","1002758103","2161814568","-688472914","452123136","-1812217456","473606160","188230815","222368000","-3270544057","1080522480","-551936508","462454784","-2792935390","-149416456","-3286938444","440433792","1464752655","-1360282440","-3186112197","709616128","1182309149","2119823088","-1976306223","1077627328","322298082","-1513722456","-5856650","-410955776","4424929136","-365200928","-2433199608","-1556275904","-506859523","2244537560","425306070","61886976","-78045498","-1975284648","2382165","2146095488","760915068","-624409792","-8584722918","-91226112","-2497113894","1526622736","1377361090","-105865984","-1523727670","-1254421304","-2537620776","38629888","1666521220","-190726392","1709879415","812919552","-3428018607","1354927008","1140986627","654594048","3445084008","2494729752","-686381435","-2251232896","-6667688135","-543196200","7037464358","-1382887936","323321181","-1261439824","-501262579","1410643328","-5262203154","2927101440","126492984","869990400","4431457306","574189584","4900897143","-2256512064","-4380880512","-142982576","3307834324","2035684864","6213428504","1097313552","4061088792","168802560","-5193706197","774408536","124900839","-1062780928","2654802664","-1807115568","-3985609481","149600832","2642375976","134352504","2849668403","-292361728","2777641050","831959248","-2797382478","-4453562880","-5415575942","-4252771152","3701915732","-268435456","-688170329","201548544","6114847590","-4347997312","-1909270325","2695105760","-672169518","67829760","3085642628","-1457053248","6590810547","-893582400","4341903515","-2185883448","5006923572","-24576000","-2803446621","4048344768","4096817592","-152763648","-6908491080","4399821312","-4270977078","68893184","3592547700","3954952912","279082398","-131784192","637033861","-3586395320","11620151966","1263534080","5127264348","-6826117592","-8296120952","-3085909248","-11366301217","781133168","1096157367","1524585984","-477193462","-9498457896","6460129476","-1925964224","1584649517","4836437408","-3546045344","1593421824","-1369320348","-3115651312","1540543158","71966592","6228232602","5741448552","4781015528","-2151802880","7878988776","1456851600","-4256797040","-1216536960","-1815980145","2314749680","1999716245","1222377472","-10307923482","-450925440","101440982","-3677475456","-2543654414","-10818485008","-1702377118","-461054976","-2320833924","168441208","-1509614389","2738097792","-1779691012","5546454288","-3983865996","-2163376128","-830144632","1078083792","-8600894985","935305792","-13101265561","-3548951592","25867948","-1157161472","595301090","-7034271560","-5571013330","-2094685440","1143072006","8432420784","3576510994","-449511424","-11568608565","3476560344","9710600364","-4982795328","-4712121077","4512552128","-13497038820","306930176","-1200387069","16778792240","3077369958","579799296","3013331151","-4772977744","3324324572","1163595776","-3442527796","-4645336024","-41154000","2567520512","6446485244","-6462100728","-18844774355","3529589760","-10513146607","2271868680","6382544610","12303520320","-213915906","-1879208544","12459179286","144703488","7790259794","-9099314136","10377518919","3855106880","-2604991914","2115864320","8481429660","3996660736","3877388812","-4467465544","16058973520","1911053056","-1733749287","10365618632","3777625197","4119142400","5131270103","-2680256536","-5460295417","-2323801728","-12438997347","-3171621064","2389258659","1262248960","2668281321","12546637520","-12432857655","3172476288","-6307919770","11433321216","-5222671769","4055269376","2216883610","-2255178560","4047062683","-1354245184","7843122423","16383655056","-20526684198","-2363248128","34887457089","2826412704","-5084996880","2046945088","1894391487","2846030304","16548047420","1172344832","14026342785","-8335177632","2560592733","-3879307776","501621453","18785917016","9913558911","-8415588864","-20385503030","-8298457848","-21222425004","-851059392","-9729336094","-6002479192","-3622704312","713818112","18670044762","-18894982680","12864310828","11851907904","-19926991604","-4644751344","-17390140588","-8925042688","9600489960","-19938102888","2533644","13031347328","2606393151","-6122273808","7977837692","554397696","28490786920","-752734096","-24824739364","-6365008384","-2255303547","-1746896120","10146630754","222602752","-20741624774","-6366209496","2578054509","13596657920","-14412559530","-6089569952","-3081919644","2421456896","294736434","-18038545680","-5132557407","-4714346112","1948511579","18748134808","-30476767344","-712278016","25008846951","-6456869480","-8083548336","-3430052672","-20150119415","-24087380688","-9446364984","-5724196864","32277670932","5835680472","6240385470","-531517504","-13937815775","-25404997160","-4367203518","242314752","-19516347092","7556297840","24243352167","-998389504","4634737515","12110644144","-14458324887","-184549376","2665861940","-4309366008","-51533329104","-14631757952","23150560623","-11178486760","9473657912","-3252190208","29711345242","4915889944","6897753350","11752563456","5480167694","-14700794408","-4467387009","708034560","-23158385982","8174804592","-23675564169","-14417069440","21756187350","971677632","29086589504","-3199965696","32439611650","123856856","15075584316","4405977856","32582307139","6790794104","27744515743","2394718208","45637199508","13345538208","950413571","30635254592","-17774729724","-14640880832","10805115186","-3860246528","913217448","-8022064824","16348023777","-17294516544","-47275122955","5507783312","-20163155916","-3616985088","1963162403","14497739648","-10373276630","-3788849280","-11934919191","-1505846520","-16665078834","-1778944000","2738874738","26164352456","33219001935","-8644179840","8920233805","4415492064","3545922470","-3699638272","-8668228776","22343483120","-10455194970","1195331648","13008981224","26295507552","8451840378","-3523470336","11672269403","-11718021240","-67621753788","10882259520","9471311565","25488897576","5792690041","-5676929024","11371610288","-9458473192","7968327962","-16958584704","3589985852","15810449784","928372509","-8621018624","-16198897818","-2578384656","27745477899","12109779648","-63020469180","46853200","9913865788","3287646208","5107831938","-35399433088","41918317240","2921607424","-9266048932","19465596864","11942024629","12450207232","-450174772","4054876184","-42739631967","-17956300480","44217488011","-3402448560","-57242801889","-495095808","8096779155","624363984","-48224756257","15802277184","-39455894520","-19057320","19754206092","-17168763904","30689838140","-6087320544","-10872323001","4995278336","-9585514231","68677783344","-21161998002","729808896","13811914383","19976911152","-20802442416","-12212981888","4197881909","-11018888720","-11273441978","846927872","-29788339842","12189821360","24898802697","10035370432","28716883002","20300966208","-15390037062","-309039104","-3144216664","-13332169760","49350255138","1525811136","17810426511","-13679035320","-18763318023","-6503356416","-54150742780","27424148856","-35219479578","-10839416064","25639481130","-9127893016","30961428830","-5236752384","-12052164537","-27560672064","1185646740","-19957838016","-31353989709","5491051480","6841284267","18009863168","25396527490","53341505080","-84727586053","4345569600","-56480095903","-56299714864","-40236826880","11063103488","-17665949232","-2586569448","33483454304","10091518592","-12693496625","4010100632","-27562856193","-11285146624","-12637579758","42097625232","6243532071","-23416811520","23000607486","-1011943872","9467318922","-6959923200","-21363263086","-35451658448","25727375280","-4593516672","11355359172","-39207177144","-44990141320","18052096512","-6056860527","35047044096","68447791224","1143860608","46654486401","-26462674592","-23727449077","-16285478912","-52389416808","-49707428032","23279189044","-8778508416","-40970752162","-32488710336","61883266926","-1350420480","23440200198","41549649576","87112257342","-6195268288","14443661892","-999206712","14224849482","8502247424","21655071287","-21238421312","35792783079","14456924544","40349860297","31884875848","32774514494","-1196806656"],"derived":{"al":[[2,1],[19,-1]],"fricke":-1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"38.8.a.d","letter":"d","dim":2,"charpoly":["-122219","-86","1"],"traces":["2","16","-69","128","155","-552","-2238","1024","855","1240","-3295","-4416","-13427","-17904","-34782","8192","-32256","6840","-13718","9920","103797","-26360","-82525","-35328","159919","-107416","-75141","-143232","-12749","-278256","258944","65536","257052","-258048","-448167","54720","-149260","-109744","889557","79360","339130","830376","-83869","-210880","2097243","-660200","1471025","-282624","1105372","1279352","913437","-859328","-945643","-601128","-1736899","-1145856","473271","-101992","-969009","-2226048","-1506755","2071552","-2791179","524288","-5445956","2056416","-1848219","-2064384","6834063","-3585336","-3417184","437760","-2499822","-1194080","-10079553","-877952","5025267","7116456","2636926","634880","2491398","2713040","-10059354","6643008","-439425","-670952","-2572923","-1687040","-3506160","16777944","19003851","-5281600","-15169884","11768200","-1063145","-2260992","5893526","8842976","-11301453","10234816","3148952","7307496","12387900","-6874624","50459382","-7565144","7950473","-4809024","-5159913","-13895192","-3023826","-9166848","1754444","3786168","-47594176","-815936","-35156502","-7752072","34233444","-17808384","-26329313","-12054040","37368276","16572416","47428605","-22329432","-64279596","4194304","42097386","-43567648","-7861995","16451328","15350442","-14785752","-24102252","-16515072","-11045588","54672504","5579139","-28682688","-31347330","-27337472","43579366","3502080","30143842","-19998576","-97634802","-9552640","33205941","-80636424","-43543724","-7023616","-31185","40202136","84510092","56931648","-1075696","21095408","3965925","5079040","129557013","19931184","-85855976","21704320","119527878","-80474832","-192004446","53144064","28451847","-3515400","-5864445","-5367616","239303052","-20583384","-221531271","-13496320","-75223323","-28049280","-255858","134223552","86718620","152030808","124664424","-42252800","72889742","-121359072","43105545","94145600","100592685","-8505160","-41490566","-18087936","-92992926","47148208","418534224","70743808","45751826","-90411624","-134846270","81878528","-41933835","25191616","-13852995","58459968","-480756122","99103200","-310379022","-54996992","22600405","403675056","-186714009","-60521152","-158643330","63603784","-411606871","-38472192","-347963952","-41279304","-99903717","-111161536","186707871","-24190608","-202015208","-73334784","383167350","14035552","238458361","30289344","-207893921","-380753408","-377608212","-6527488","118877877","-281252016","-86493565","-62016576","-289254234","273867552","-277410906","-142467072","157541774","-210634504","340180074","-96432320","700494166","298946208","92095793","132579328","234799722","379428840","415202471","-178635456","336636446","-514236768","474426666","33554432","21397172","336779088","90737844","-348541184","202430484","-62895960","917588085","131610624","222853172","122803536","554884020","-118286016","331207458","-192818016","603707459","-132120576","-1311176205","-88364704","-493104710","437380032","-694949275","44633112","541004364","-229461504","-720018410","-250778640","107959233","-218699776","238569738","348634928","78483966","28016640","-286494928","241150736","-946840218","-159988608","-226472037","-781078416","1047661182","-76421120","212830362","265647528","1150745179","-645091392","459752529","-348349792","-14923194","-56188928","-867814403","-249480","756024672","321617088","-301425678","676080736","-757521308","455453184","227832619","-8605568","-2606427207","168763264","610255041","31727400","-130638452","40632320","-528171477","1036456104","221243904","159449472","-1756447549","-686847808","767659347","173634560","-1464982005","956223024","-866269625","-643798656","500148774","-1536035568","948969396","425152512","-1680454924","227614776","-397350150","-28123200","-740504812","-46915560","50849598","-42940928","3165528792","1914424416","-659967341","-164667072","650310863","-1772250168","769207239","-107970560","-991494261","-601786584","2592708746","-224394240","-1386709821","-2046864","-667401216","1073788416","94091762","693748960","435942321","1216246464","1729788747","997315392","-1930125580","-338022400","-3240731934","583117936","790692771","-970872576","260103439","344844360","-2043866394","753164800","-365319859","804741480","1633776051","-68041280","2383193286","-331924528","1658546398","-144703488","2499902031","-743943408","-2740923477","377185664","-708276135","3348273792","1051876665","565950464","-44406306","366014608","2253258064","-723292992","2090180221","-1078770160","-711943623","655028224","-771298268","-335470680","-2671789172","201532928","-2512182681","-110823960","-165483382","467679744","1441630772","-3846048976","1886001801","792825600","70215825","-2483032176","380295972","-439975936","-3251935458","180803240","2404465584","3229400448","5201417077","-1493712072","-709946055","-484169216","-2259809307","-1269146640","2364418359","508830272","-3168404094","-3292854968","3171922974","-307777536","1446060916","-2783711616","-1085821500","-330234432","566038975","-799229736","239226730","-889292288","4578009822","1493662968","-4767363785","-193524864","-4755582900","-1616121664","3116281806","-586678272","-2435833202","3065338800","1911052462","112284416","20332050","1907666888","8246746356","242314752","-7047680492","-1663151368","1088049753","-3046027264","-200703691","-3020865696","-7514963095","-52219904","-7209856248","951023016","-1753419653","-2250016128","1081648083","-691948520","2296363206","-496132608","2111437421","-2314033872","-1096884421","2190940416","1573191954","-2219287248","3867646720","-1139736576","-221212958","1260334192","-10028119383","-1685076032","8139721832","2721440592","-5495848828","-771458560","6884438460","5603953328","2447625944","2391569664","416509317","736766344","-4855259835","1060634624","1242824568","1878397776","7811919125","3035430720","7705715544","3321619768","685523607","-1429083648","-724351270","2693091568","-6705861210","-4113894144","-3635900154","3795413328","1059923442","268435456","515392119","171177376","-341492094","2694232704","-1446894385","725902752","-7234035030","-2788329472","3453937964","1619443872","-1418164955","-503167680","14873898969","7340704680","-3739706712","1052884992","2175938635","1782825376","7082883864","982428288","5067133808","4439072160","3239589962","-946288128","-3686830092","2649659664","-4815906926","-1542544128","3345818233","4829659672","-135795138","-1056964608","-6492864192","-10489409640","-11619716704","-706917632","-5659152741","-3944837680","87445391","3499040256","-4801336206","-5559594200","-951429804","357064896","-1035609131","4328034912","6430572388","-1835692032","-3470981976","-5760147280","-2371216662","-2006229120","3616461674","863673864","-344408274","-1749598208","-1226048120","1908557904","-1567671536","2789079424","8588037705","627871728","-12984423455","224133120","-10177537826","-2291959424","-604615122","1929205888","10208769210","-7574721744","115455998","-1279908864","-18242909388","-1811776296","-8599477971","-6248627328","-1776096896","8381289456","-6586657404","-611368960","942614632","1702642896","4778203941","2125180224","12682220361","9205961432","-9665943252","-5160731136","4017914078","3678020232","6503006322","-2786798336","2841141010","-119385552","-6907981886","-449511424","3679738227","-6942515224","-6971739140","-1995840","610465103","6048197376","15397815444","2572936704","-640921749","-2411405424","-4879507894","5408645888","5576401773","-6060170464","7973327040","3643625472","-4606299932","1822660952","-1763119668","-68844544","2979396000","-20851417656","2223532351","1350106112","10580161041","4882040328","-6692323338","253819200","-16326001966","-1045107616","17620150122","325058560","9969203262","-4225371816","17982932369","8291648832","18473060766","1769951232","-3413242942","1275595776","-3872482392","-14051580392","22425336540","-5494782464","-6488103807","6141274776","2652361767","1389076480","11775508839","-11719856040","-12499663903","7649784192","575928479","-6930157000","-11978560881","-5150389248","3073977453","4001190192","-3690809033","-12288284544","-758983746","7591755168","6140674813","3401220096","3784196458","-13443639392","-8841454587","1820918208","9097667737","-3178801200","-13534315590","-224985600","-247643679","-5924038496","-3532365848","-375324480","-16406966225","406796784","-3012360384","-343527424","2059313425","25324230336","-5317369677","15315395328","16240620177","-5279738728","32046753285","-1317336576","-8904266910","5202486904","15793369308","-14178001344","4308034970","6153657912","1023774340","-863764480","-17161679670","-7931954088","-2648997888","-4814292672","4483785168","20741669968","14808625668","-1795153920","-19413440428","-11093678568","20581532524","-16374912","16128956313","-5339209728","16326363130","8590307328","-12686462628","752734096","-2630768892","5549991680","3806039207","3487538568","-20953293772","9729971712","-26537248998","13838309976","-1391634153","7978523136","21404664762","-15441004640","-45046293564","-2704179200","-2275161186","-25925855472","21430472647","4664943488","-6101471463","6325542168","-1720808356","-7766980608","-41466036201","2080827512","3444737544","2758754880","-11266127433","-16350931152","-3951379328","6025318400","-33041438484","-2922558872","11938601146","6437931840","-4195201063","13070208408","-24098448642","-544330240","-38759594076","19065546288","11277271233","-2655396224","-31877242929","13268371184","-9756460059","-1157627904","662929412","19999216248","18656941620","-5951547264","1749931257","-21927387816","30693532228","3017485312","4031349426","-5666209080","-2326092670","26786190336","-8289176986","8415013320","-1391939829","4527603712","-23428967278","-355250448","11329627913","2928116864","-27582189138","18026064512","-5106893268","-5786343936","20993579042","16721441768","4007776224","-8630161280","-16492436991","-5695548984","-25082903475","5240225792","-31439466900","-6170386144","-5250971247","-2683765440","67477493664","-21374313376","19533721482","1612263424","45209358288","-20097461448","8559538791","-886591680","-3997352337","-1323867056","-47185380116","3741437952","575257471","11533046176","53356637142","-30768391808","34168698729","15088014408","46617305812","6342604800","35992733334","561726600","-21329434039","-19864257408","17322243615","3042367776","15133792350","-3519807488","-13662476856","-26015483664","-26056486854","1446425920","-13601407788","19235724672","7802416610","25835203584","-31231984589","41611336616","38772460644","-11949696576","61355833857","-5679568440","25053257457","-3873353728","3141559044","-18078474456","-5281049218","-10153173120","-8384844444","18915346872","-14384989737","4070642176","-1116381210","-25347232752","37307492801","-26342839744","-53107025796","25375383792","-18597456912","-2462220288","7986143802","11568487328","16315760136","-22269692928","-14324443364","-8686572000","-3411357855","-2641875456","53821918764","4528311800","-56876684529","-6393837888","22982404613","1913813840","-15682108365","-7114338304","28150427835","36624078576","-20164980559","11949303744","-30303858420","-38138910280","16577645344","-1548198912","73473975348","-38044663200","9072685341","-12928973312","-10089760475","24930254448","38168628666","-4693426176","-84058356801","-19486665616","4945305028","24522710400","17257443399","15288419696","-60845503122","898275328","-22791278554","162656400","7579420951","15261335104","-5120202870","65973970848","-18685572486","1938518016","10922970168","-56381443936","57747693606","-13305210944","5851551159","8704398024","-6445655795","-24368218112","-22345459668","-1605629528","-18446983190","-24166925568","1156140790","-60119704760","-3395196918","-417759232","-16528163425","-57678849984","-7581746548","7608184128","41870626485","-14027357224","23840366697","-18000129024","-65932084022","8653184664","-46811629371","-5535588160","-82005708497","18370905648","54685857688","-3969060864","38571380604","16891499368","-52831316268","-18512270976","-11077532211","-8775075368","-58472818173","17527523328","8068502126","12585535632","-77167188371","-17754297984","8556613710","30941173760","26406017112","-9117892608","-7845856158","-1769703664","20916558144","10082673536","32192715948","-80224955064","39895808208","-13480608256","-6265264383","65117774656","-56454514168","21771524736","-34797971391","-43966790624","125315534199","-6171668480","50857660964","55075507680","27617114100","44831626624","-42891184854","19581007552","21356957214","19132557312","55297367054","3332074536","48384221130","5894130752","58333044344","-38842078680","-35436537814","8485076992","31480933191","9942596544","-93427501067","15027182208","-10023849271","62495353000","532156014","24283445760"],"derived":{"al":[[2,-1],[19,1]],"fricke":-1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"38.8.a.e","letter":"e","dim":4,"charpoly":["5724320994","-31505691","-212659","267","1"],"traces":["4","32","12","256","-279","96","2485","2048","9482","-2232","5269","768","5406","19880","26658","16384","22885","75856","27436","-17856","2854","42152","3364","6144","112561","43248","-220194","159040","-122136","213264","225480","131072","176138","183080","-785781","606848","154096","219488","-1749220","-142848","-1054628","22832","-840795","337216","-4162563","26912","-1021877","49152","-621441","900488","724892","345984","-326842","-1761552","-221553","1272320","82308","-977088","421384","1706112","116825","1803840","10245825","1048576","4477428","1409104","5794566","1464640","-2472196","-6286248","10590626","4854784","3971389","1232768","-3690042","1755904","5806573","-13993760","5597800","-1142784","20567744","-8437024","4665800","182656","-2014461","-6726360","-14449584","2697728","-2794214","-33300504","-8827314","215296","-43981204","-8175016","-1913661","393216","-14445130","-4971528","-7940315","7203904","-5682736","5799136","32002110","2767872","-3784158","-2614736","30218144","-14092416","1859618","-1772424","6873676","10178560","-17373668","658464","16830108","-7816704","-30040990","3371072","32567041","13648896","-21299203","934600","46572956","14430720","-28519659","81966600","19443718","8388608","-116101162","35819424","-41086053","11272832","17044615","46356528","95103000","11717120","-29648667","-19777568","21971153","-50289984","-78922450","84725008","-12840624","38838272","87642810","31771112","48366084","9862144","-20971897","-29520336","168637102","14047232","-70879373","46452584","-140354028","-111950080","110009292","44782400","-116053628","-9142272","-84157046","164541952","144878804","-67496192","-226569834","37326400","-189713454","1461248","83178554","-16115688","65037038","-53810880","-113605860","-115596672","98870584","21581824","-304870378","-22353712","-50498498","-266404032","214902288","-70618512","65566806","1722368","-434553606","-351849632","359713765","-65400128","-74641496","-15309288","6398449","3145728","22766078","-115561040","650845404","-39772224","-179800616","-63522520","39468593","57631232","143517530","-45461888","-246193296","46393088","47004282","256016880","275361904","22142976","36140071","-30273264","344612092","-20917888","-392229836","241745152","-120103677","-112739328","259683480","14876944","740329336","-14179392","-78052932","54989408","123075822","81428480","893001467","-138989344","322692446","5267712","424636591","134640864","450771974","-62533632","313493889","-240327920","-302749371","26968576","582921112","260536328","-612948219","109191168","416534152","-170393624","-1552068006","7476800","-614366532","372583648","37079754","115445760","-576734624","-228157272","-490009065","655732800","-1068008372","155549744","-1502813718","67108864","452121966","-928809296","671507278","286555392","-935297412","-328688424","-481101081","90182656","-20173572","136356920","-389314540","370852224","247198622","760824000","-146123332","93736960","-2095401818","-237189336","-529248008","-158220544","-103075637","175769224","1470962420","-402319872","-472795064","-631379600","-772903739","677800064","182847222","-102724992","-431004542","310706176","685569851","701142480","-534950292","254168896","-931194994","386928672","881686710","78897152","2073840884","-167775176","727791858","-236162688","-312853311","1349096816","1378544608","112377856","1602261657","-567034984","925368720","371620672","1103382800","-1122832224","-793946801","-895600640","247269018","880074336","-4282520337","358259200","1626188856","-928429024","-449129238","-73138176","366415330","-673256368","156968215","1316335616","-176165202","1159030432","2478768636","-539969536","-401209277","-1812558672","-1517685126","298611200","5204618856","-1517707632","-733017096","11689984","750852086","665428432","1438854536","-128925504","184084980","520296304","-1160655073","-430487040","5755502484","-908846880","2289564127","-924773376","-1881383069","790964672","-4132249276","172654592","-2529100362","-2438963024","-904602258","-178829696","2708536406","-403987984","573322605","-2131232256","188183524","1719218304","-356246986","-564948096","358518663","524534448","-4336030336","13778944","-2764228076","-3476428848","-380734066","-2814797056","639331142","2877710120","2030649498","-523201024","3283082334","-597131968","-288861628","-122474304","899881564","51187592","4498481960","25165824","-242377857","182128624","-1894545151","-924488320","-2277830251","5206763232","-7152785708","-318177792","5471492850","-1438404928","-3048869160","-508180160","1027898031","315748744","19575586","461049856","-4932289074","1148140240","3444086172","-363695104","-12260981259","-1969546368","-2497902782","371144704","1112417322","376034256","278362668","2048135040","-2270459990","2202895232","-1318707252","177143808","8981268702","289120568","-2465819652","-242186112","806983594","2756896736","2495862955","-167343104","-3726461276","-3137838688","-2462822209","1933961216","-4559572020","-960829416","486311648","-901914624","3803991828","2077467840","5337633240","119015552","23073676","5922634688","3857305258","-113435136","3775560735","-624423456","-2055091821","439915264","-5826843720","984606576","1820497138","651427840","1015576074","7144011736","427578394","-1111914752","-1211762264","2581539568","3999620952","42141696","2856308903","3397092728","13579908170","1077126912","-6007630917","3606175792","-1184276361","-500269056","11208274056","2507951112","-1374322105","-1922623360","4728341496","-2421994968","-12467647852","215748608","1272389181","4663368896","772055899","2084290624","-594342478","-4903585752","2655043188","873529344","-9227652072","3332273216","-10226598106","-1363148992","-1997543556","-12416544048","8142552314","59814400","-3359526852","-4914932256","3874320528","2980669184","-2517329202","296638032","-1052149761","923566080","6213760046","-4613876992","-3249813337","-1825258176","-17118608220","-3920072520","-2929432808","5245862400","878942142","-8544066976","9573826138","1244397952","-6660685882","-12022509744","655649581","536870912","-1510310646","3616975728","-7176146922","-7430474368","-6285420437","5372058224","-1501389180","2292443136","-3186075446","-7482379296","6263239144","-2629507392","-4737014348","-3848808648","1679343792","721461248","10537911470","-161388576","-4603428266","1090855360","-8420919084","-3114516320","4508037954","2966817792","11523288260","1977588976","1107004878","6086592000","-6067321435","-1168986656","11869220516","749895680","-2638464480","-16763214544","9316805624","-1897514688","-13629782543","-4233984064","-837730824","-1265764352","11084476372","-824605096","4572499572","1406153792","1879396555","11767699360","9568867440","-3218558976","-977359582","-3782360512","8750338494","-5051036800","9510294438","-6183229912","24850638249","5422400512","-4386054630","1462777776","-1924014472","-821799936","2407606430","-3448036336","12672353548","2485649408","5731863283","5484558808","4115893992","5609139840","1194884864","-4279602336","-1259606872","2033351168","693900576","-7449559952","-4036952501","3095429376","1546567320","7053493680","-15060944644","631177216","-3067941860","16590727072","343412631","-1342201408","2871548598","5822334864","4881643772","-1889301504","10558895664","-2502826488","14339437148","10792774528","6791901948","11028356864","-3321190744","899022848","-20598771486","12818093256","836780076","-4536279872","542964851","7402949760","-28175968404","2972965376","7996289511","8827062400","12190306828","-8982657792","-48242571484","-6351574408","4455897904","-7164805120","-16716217454","1978152144","1208130542","7040594688","-16451266826","-34260162696","-13978341019","2866073600","1528650958","13009510848","1496975634","-7427432192","-20937357090","-3593033904","23624311298","-585105408","16041132442","2931322640","-5426342687","-5386050944","9359344134","1255745720","-6963509007","10530684928","-9003402794","-1409321616","-32367070052","9272243456","-3899530953","19830149088","22054337397","-4319756288","23765165511","-3209674216","-13285744652","-14500469376","-14125234718","-12141481008","-25972729428","2388889600","-5389671879","41636950848","10538267754","-12141661056","-16592934232","-5864136768","241641635","93519872","16561703720","6006816688","-44096266170","5323427456","22144652520","11510836288","-165081232","-1031404032","-26984682854","1472679840","-3619764864","4162370432","-26660218581","-9285240584","-19711361174","-3443896320","13418722134","46044019872","-2203033685","-7270775040","3708944977","18316513016","35943634935","-7398187008","5209661518","-15051064552","-20861530614","6327717376","-16233410060","-33057994208","1056944464","1381236736","28361290122","-20232802896","1595487254","-19511704192","1052598776","-7236818064","21656563872","-1430637568","-2732528100","21668291248","25741207836","-3231903872","35590920582","4586580840","111991813","-17049858048","25220043258","1505468192","-38581746356","13753746432","-8495429370","-2849975888","-14071424809","-4519584768","60207660380","2868149304","13759341405","4196275584","1449937804","-34688242688","-36317095956","110231552","14809499604","-22113824608","18235983709","-27811430784","-11997899980","-3045872528","-11021808996","-22518376448","20535930315","5114649136","35318206976","23021680960","9608335382","16245195984","-59026672352","-4185608192","32004646842","26264658672","-11732339538","-4777055744","43743500153","-2310893024","-3275102332","-979794432","4618979609","7199052512","5448951590","409500736","-233343657","35987855680","58985182692","201326592","21947495355","-1939022856","94604875500","1457028992","-31829100492","-15156361208","18356959812","-7395906560","20152400712","-18222642008","-7233693452","41654105856","16426335554","-57222285664","-26952945636","-2545422336","28053573174","43771942800","11460960766","-11507239424","-84167493090","-24390953280","-18449613290","-4065441280","25073824836","8223184248","29841999084","2525989952","-12025176298","156604688","-36652660481","3688398848","69082466062","-39458312592","-36250890119","9185121920","-5533696188","27552689376","8735501392","-2909560832","23650924419","-98087850072","-61380171050","-15756370944","14451803724","-19983222256","-10043858052","2969157632","-5767012905","8899338576","-46670254616","3008274048","25566371271","2226901344","-42208688795","16385080320","32084582576","-18163679920","-6111492330","17623161856","-51395948566","-10549658016","26056941910","1417150464","9732720744","71850149616","-35415513306","2312964544","-106988861044","-19726557216","1612896546","-1937488896","-26284430114","6455868752","-27762238756","22055173888","-47362887873","19966903640","-14232393334","-1338744832","-21462305606","-29811690208","36648956140","-25102709504","-3196737372","-19702577672","-28551019617","15471689728","11234916228","-36476576160","-82242630935","-7686635328","58156353284","3890493184","8173929086","-7215316992","-66842724042","30431934624","-10217453212","16619742720","51402020728","42701065920","-15438050484","952124416","-47942499830","184589408","3844665729","47381077504","-26881206556","30858442064","-125104082084","-907481088","30932309139","30204485880","8606438853","-4995387648","138000125160","-16440734568","43370530638","3519322112","16142159098","-46614749760","-13287091655","7876852608","-7009054343","14563977104","-41674371930","5211422720","74870762334","8124608592","11166731460","57152093888","-5056056148","3420627152","-76783732130","-8895318016","-7091808318","-9694098112","21323148958","20652316544","-38578326868","31996967616","134044073178","337133568","-39440323972","22850471224","10520940546","27176741824","-62451977553","108639265360","-66571869536","8617015296","32861742632","-48061047336","64950897564","28849406336","85008332314","-9474210888","161059289810","-4002152448","-7999970550","89666192448","-4262463819","20063608896","-1186494958","-10994576840","14518496763","-15380986880","27526957325","37826731968","3046730570","-19375959744","61153391440","-99741182816","-42750532784","1725988864","86715081360","10179113448","21166086124","37306951168","-72526465356","6176447192","87579154200","16674324992","-4399618854","-4754739824","-20673584793","-39228686016","-66864332784","21240345504","36143790369","6988234752","22701747812","-73821216576","4642483082","26658185728","13177970928","-81812784848","9294750288","-10905191936","4972034228","-15980348448","-23245613952","-99332352384","-33423807019","65140418512","-74210489956","478515200","-95849171442","-26876214816","-64848487868","-39319458048","72242153806","30994564224","88649292132","23845353472","-53619201846","-20138633616","-73763415634","2373104256","-58771414308","-8417198088","79602756454","7388528640","-185077196794","49710080368","155122369335","-36911015936","60287425823","-25998506696","-132039253016","-14602065408"],"derived":{"al":[[2,-1],[19,-1]],"fricke":1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}}],"seconds":0.28,"computed":"atlas","estimate":{"seconds":0.442,"low":0.27,"high":0.765,"bytes":1926768},"url":"https://sagebrush.space/atlas/mf/38.8.a"}