{"label":"56.8.a","level":56,"weight":8,"dims":{"new":10,"cusp":52,"eisenstein":8,"modsym":112},"old":[[2,1,6],[7,3,4],[8,2,2],[14,4,3],[28,4,2]],"T":[[3,1],[5,1]],"status":"proven","checks":["dim M^+ at levels [1, 2, 4, 7, 8, 14, 28, 56]: [1, 3, 5, 5, 9, 16, 31, 60] (certified at ell = 2147483647)","T = [(3, 1), (5, 1)]; h of degree 10 = 1 x 10 (phi(ord eps) x dim S_k^new); 4 primes, 0 rejected"],"newforms":[{"label":"56.8.a.a","letter":"a","dim":1,"charpoly":["-142","1"],"traces":["1","0","-18","0","160","0","-343","0","-1863","0","5704","0","1388","0","-2880","0","-31434","0","-19966","0","6174","0","-77136","0","-52525","0","72900","0","-193374","0","-26356","0","-102672","0","-54880","0","204346","0","-24984","0","-663050","0","-335920","0","-298080","0","1119812","0","117649","0","565812","0","112782","0","912640","0","359388","0","536154","0","-1170264","0","639009","0","222080","0","3890660","0","1388448","0","2505344","0","-1435070","0","945450","0","-1956472","0","176536","0","2762181","0","-6211622","0","-5029440","0","3480732","0","-4729062","0","-476084","0","474408","0","-3194560","0","-2129562","0","-10626552","0","5660320","0","-14025748","0","987840","0","-2072892","0","-6872470","0","-3678228","0","22743718","0","-12341760","0","-2585844","0","10781862","0","13048445","0","11934900","0","-20904000","0","-25183376","0","6046560","0","-17418734","0","6848338","0","11664000","0","44997186","0","42686494","0","-20156616","0","7917152","0","-30939840","0","-2117682","0","41936406","0","-7600872","0","58561542","0","-4216960","0","84619788","0","-2030076","0","26457648","0","15485640","0","-16427520","0","-44889340","0","-60821973","0","37196658","0","-102899580","0","18016075","0","-9650772","0","50177980","0","-132768572","0","21064752","0","32695360","0","-179299536","0","-25004700","0","143976808","0","91703278","0","-3997440","0","-110905098","0","-161688060","0","-70031880","0","66327282","0","-106088000","0","143704368","0","-113886064","0","1747716","0","-45096192","0","-53747200","0","9040108","0","25831260","0","-43630392","0","-48306360","0","97854075","0","205296434","0","-281107988","0","35216496","0","308493130","0","179169920","0","-3177648","0","-131783432","0","279724582","0","-209151558","0","18823840","0","-27712808","0","111809196","0","124213470","0","-439983744","0","90529920","0","383682034","0","-70090678","0","360255762","0","454838688","0","18045120","0","85123116","0","81905156","0","-241677264","0","8569512","0","-299602600","0","-20256194","0","49101228","0","-224402070","0","-579760982","0","57502080","0","227426150","0","577757683","0","38332116","0","96936888","0","85784640","0","415821600","0","-107064768","0","115220560","0","-101885760","0","-187242240","0","-623961950","0","252463464","0","-483165560","0","-488640506","0","102241440","0","-589516194","0","-1103005296","0","37312056","0","627611244","0","-72904700","0","123704460","0","-384095516","0","-496907152","0","-380696598","0","622505600","0","-800789458","0","-409386924","0","-150334624","0","-40353607","0","222151680","0","936814224","0","-318551148","0","101185200","0","1477782098","0","400855040","0","-194073516","0","-763542984","0","-495230583","0","-234872010","0","-229611200","0","-362182424","0","1235262150","0","-38684226","0","493378870","0","376272000","0","-268403112","0","1767116888","0","453300768","0","1834548","0","-313035520","0","625818960","0","-1744621174","0","2424693024","0","313537212","0","28245760","0","2114735620","0","-123270084","0","-1912126962","0","-36582128","0","441948960","0","1165589584","0","-1257510242","0","-809949348","0","-183900822","0","-993859520","0","-768356892","0","1162443190","0","1162120606","0","-2086209756","0","1651070850","0","401400552","0","-142508736","0","1814874776","0","-1997741618","0","556917120","0","1540097376","0","3340726920","0","-219180087","0","383408460","0","-756649920","0","-754855308","0","-2186234542","0","-3782037200","0","136815696","0","-76173440","0","1484191174","0","-2291538600","0","-1313923428","0","-1456491472","0","75905280","0","3403736186","0","-1334496380","0","-1523156184","0","-1916087680","0","1048714150","0","-210112866","0","-3443522292","0","283632248","0","-476237664","0","-340729920","0","-1217907424","0","-278741520","0","79414860","0","6078518316","0","-1700248320","0","-859332992","0","-5135067868","0","808008120","0","-691852768","0","905651200","0","1094795514","0","1842329300","0","492229010","0","-1455521400","0","-2244119680","0","6387407648","0","1852192440","0","-4748544618","0","-2419431806","0","-324289350","0","828474504","0","2545137049","0","-998854902","0","-920313400","0","-331662720","0","-903203640","0","671069896","0","4417218494","0","2389834296","0","-1099595200","0","3488752512","0","2180201832","0","3860905284","0","-60551848","0","-588516480","0","-2783739458","0","-466256960","0","3227391648","0","-2466239282","0","3638994880","0","-947428083","0","-352044554","0","7440852136","0","-2591582544","0","4051568400","0","3057269218","0","-1650659004","0","2130586346","0","643308528","0","-413735040","0","2883787590","0","526223896","0","1996291764","0","-4700760742","0","1725097920","0","2910385080","0","-4063234392","0","-2069557510","0","-7248299580","0","2087751200","0","-5568279808","0","-1193891076","0","1554299056","0","-3796636998","0","1909584000","0","-3962348074","0","5550824218","0","-5623214400","0","1622068266","0","758875625","0","2049949152","0","-6423412164","0","-243355728","0","-31458888","0","-4029340160","0","163296812","0","-4667455872","0","-3892272978","0","2226981790","0","967449600","0","7461822404","0","3058222416","0","-162721944","0","127961402","0","-2786997440","0","2673535410","0","-11005201824","0","-12232589608","0","785347056","0","1095734080","0","14916096864","0","869514480","0","-6675185856","0","-12086222150","0","-3829072500","0","-11627471676","0","730439766","0","-3695335812","0","14238140172","0","7199549760","0","5059943784","0","156541416","0","-9509179118","0","3644907336","0","6829839040","0","20842313700","0","-5552876340","0","-9298384806","0","-4079972236","0","-3225058560","0","-1941489760","0","-14205922998","0","-328886568","0","2032996416","0","1266744320","0","2372101776","0","-11380519940","0","4810831564","0","-5035042476","0","10156969350","0","-2051495108","0","-2276161803","0","10559309280","0","-2801599048","0","-338829120","0","22192324640","0","-11752836920","0","498830544","0","12768232264","0","6709824960","0","11572251786","0","711001956","0","8948260792","0","-2235842460","0","-1216139520","0","11224092634","0","7919707392","0","-3065417538","0","2357257210","0","9369846720","0","744181752","0","-13391122402","0","-6906276612","0","-2075292296","0","1384348900","0","1261632204","0","13238456300","0","14290482176","0","-14096964600","0","13539166080","0","10298883722","0","-8187096384","0","-7801095274","0","-1624326432","0","-324812160","0","6692695044","0","-35200170408","0","8810242506","0","-8185639280","0","4233223680","0","-1474292808","0","15629117206","0","-3312997022","0","4350190752","0","2477702400","0","6706978720","0","886944492","0","-17988381170","0","9562186200","0","5392846800","0","-16556211116","0","-31047321160","0","364611492","0","-3698178666","0","-7182294400","0","-1921352400","0","11125503036","0","20143627567","0","4039237260","0","-9731515680","0","-4475616635","0","10435697676","0","-15762433056","0","-11228303332","0","5951465280","0","-13411019490","0","-33063816802","0","-4093670700","0","-18609621448","0","-16463932800","0","-10399638294","0","1006961344","0","5400236080","0","3967374006","0","7170072000","0","-20123121294","0","-1744863984","0","35575191306","0","488662972","0","-1544123520","0","36673158796","0","8637897968","0","15755480424","0","-22358166392","0","8028476800","0","1927165824","0","5096565144","0","-3545189388","0","-2073970080","0","-21242971520","0","-9619541308","0","-10545176160","0","-13697407632","0","-35431091888","0","3370360320","0","5974625762","0","-9668636968","0","11231315100","0","3477417472","0","-10733273650","0","26129968524","0","5569162166","0","-2348979934","0","8696980080","0","-28687925760","0","3101655778","0","8795529108","0","-11672886648","0","51145024800","0","-4000752000","0","41551154960","0","-1991877160","0","10611291492","0","15014277210","0","23036289280","0","19854095328","0","-15434034798","0","-26817975375","0","3861797796","0","14672524480","0","30605983664","0","-11297002392","0","46759664442","0","-14641467442","0","1312284600","0","10391532730","0","-26974569648","0","12803411610","0","305164428","0","-17744815680","0","6913719288","0","25911525120","0","-54841232800","0","8944328736","0","-25870089600","0","-7316336696","0","14896823400","0"]},{"label":"56.8.a.b","letter":"b","dim":1,"charpoly":["114","1"],"traces":["1","0","46","0","-160","0","-343","0","-71","0","-6840","0","-2900","0","-7360","0","16566","0","-6718","0","-15778","0","-976","0","-52525","0","-103868","0","-61662","0","-69236","0","-314640","0","54880","0","-533062","0","-133400","0","183158","0","966864","0","11360","0","-190268","0","117649","0","762036","0","-785010","0","1094400","0","-309028","0","2893594","0","-95896","0","24353","0","464000","0","-991644","0","-44896","0","1068160","0","2523458","0","-2416150","0","2346120","0","285848","0","-4622651","0","7094938","0","-2650560","0","-2836452","0","-252390","0","994700","0","-3184856","0","1074880","0","-1824794","0","485640","0","-9618848","0","-16775316","0","2524480","0","-2724284","0","5398250","0","-24520852","0","-25129562","0","156160","0","205900","0","-5682138","0","27298429","0","8425268","0","20904000","0","9641456","0","44475744","0","-22016046","0","2304274","0","16618880","0","51643714","0","-55526818","0","-8752328","0","19836000","0","9865920","0","5411854","0","20437782","0","70022296","0","-1176186","0","11077760","0","-80519860","0","-36110460","0","334768","0","-14998072","0","50342400","0","37176964","0","-54338517","0","476978","0","-107405116","0","18016075","0","133105324","0","113389884","0","-132257532","0","-4411216","0","85289920","0","-113311440","0","35626724","0","-3877528","0","-147799314","0","21344000","0","-195010826","0","66803844","0","-45615624","0","21150066","0","-29305280","0","69296","0","45951120","0","-167507580","0","49135360","0","-154698240","0","23747948","0","116079068","0","-48041400","0","-79848632","0","3729275","0","12868338","0","-286473684","0","107921520","0","98531658","0","30442880","0","13149008","0","257316216","0","257738918","0","14517370","0","-18823840","0","19482200","0","326367148","0","304338206","0","6675840","0","-121925760","0","-213793294","0","182840266","0","4378002","0","77525920","0","125601600","0","-11609940","0","503407684","0","-443691728","0","45756200","0","359271000","0","-81266626","0","4915756","0","455683434","0","-431324310","0","49444480","0","-62823194","0","-135906317","0","-83940524","0","-835265416","0","-462975040","0","710457120","0","2830400","0","-331634352","0","-442467008","0","15343360","0","-128957854","0","-771664536","0","-549014904","0","347991942","0","-3896480","0","773188702","0","421768080","0","-125317064","0","-111290388","0","152322500","0","248319500","0","65261924","0","-755430032","0","37847402","0","158663040","0","369427758","0","-1155959852","0","473574240","0","-40353607","0","7183360","0","383442832","0","-676699948","0","301217200","0","-884640430","0","-170905600","0","-261378348","0","273898680","0","-848740215","0","1255727734","0","-403753280","0","-718777624","0","-13004218","0","269258430","0","-557666762","0","961584000","0","178819800","0","350444120","0","443506976","0","2097675956","0","-375379200","0","-68647344","0","-370722550","0","-16168416","0","-1012738116","0","-45735680","0","2158866244","0","105996604","0","199648270","0","200784400","0","739624160","0","3646144080","0","1950022174","0","2375610844","0","-992502742","0","-1135190080","0","-2554233628","0","-645883146","0","265901982","0","13509028","0","-870129150","0","32892328","0","912456000","0","-1874486760","0","1267946062","0","453832320","0","6556768","0","-2614086264","0","-8353079","0","-2214424372","0","40382400","0","940137972","0","-1797374126","0","-1252800720","0","3221025616","0","-159152000","0","-1143516986","0","-1720677288","0","-330188580","0","3571890992","0","509576960","0","-2079362758","0","340133892","0","-3703913560","0","-6613349760","0","352862950","0","55735710","0","-2368319604","0","1545879800","0","15399328","0","291967040","0","1505478304","0","-689911312","0","3419908044","0","-1021492692","0","-77702400","0","-366378880","0","-1706426204","0","1710140344","0","2402570784","0","1539015680","0","-2499571782","0","-476642796","0","-865546094","0","697785224","0","2684050560","0","1301433120","0","-4940635336","0","3351418902","0","3050606658","0","828739450","0","-1146963576","0","-3403872871","0","-205445174","0","-531158200","0","435885440","0","5215934664","0","-804719160","0","3712906942","0","-6083846472","0","-863720000","0","1337843584","0","6808616","0","414245316","0","-98045864","0","3923336320","0","6967156158","0","-2803905600","0","-5212326240","0","2246472462","0","4020729920","0","1585569293","0","-3522364938","0","3332824744","0","-178366288","0","51264400","0","7439897826","0","-6798768444","0","-2433563734","0","5369468400","0","-32944000","0","2941106310","0","465127448","0","-8970497996","0","-5804811174","0","909142080","0","3072976824","0","7637049000","0","943486970","0","70406724","0","-4367748640","0","7515671296","0","972903036","0","551777200","0","8822486330","0","-1348042880","0","-402928938","0","-3231781926","0","101375168","0","86569770","0","758875625","0","2113751520","0","-8830705092","0","3341620912","0","-7705348680","0","-1542632960","0","-341182100","0","-75839360","0","-1711538002","0","-6408997922","0","-7116119040","0","9494489668","0","-19792182960","0","1092405608","0","-9512266566","0","3522567360","0","-179165518","0","-9056165280","0","2082271640","0","-2209904400","0","-368683840","0","60182112","0","-3673037072","0","655928640","0","10340021690","0","5455666700","0","-5873332988","0","625904342","0","591943548","0","-3394047604","0","-8262994240","0","-13177789464","0","2276529000","0","-10555285806","0","-166574520","0","8884290880","0","3034195428","0","4532456268","0","658559450","0","3581110516","0","1400372480","0","3299264864","0","11425691850","0","-20295208","0","67574336","0","-3173760000","0","11836545936","0","-762102916","0","5753933388","0","11855990228","0","3238796550","0","10396837820","0","10777536757","0","16017069024","0","-18930586504","0","-865896640","0","6782844960","0","-1987445816","0","896181200","0","-8470190648","0","-3270045120","0","-503740598","0","934429412","0","-17028280008","0","13999557476","0","-11203567360","0","8182361690","0","307088640","0","289321278","0","-1851599750","0","188189760","0","-8391422600","0","20924166046","0","-9834491524","0","-12113860808","0","3636620900","0","8410652236","0","-1230455444","0","-7306214400","0","6404708616","0","12883177600","0","556243274","0","3566192320","0","8619439766","0","278098400","0","5777673600","0","4667067972","0","-3151979688","0","17919690","0","-17260452720","0","-53562880","0","23156753464","0","6083203094","0","-8275844830","0","-20409819488","0","2399691520","0","-6495392352","0","-70623700","0","-3652295154","0","-16509931816","0","16526466000","0","17612653012","0","-13847510920","0","-3738264796","0","1948973334","0","-5948314240","0","7191404848","0","-24002656836","0","-13447674065","0","20961437964","0","8694162720","0","-9363361147","0","-19840918260","0","520268512","0","-3922695076","0","-76316480","0","8870291102","0","2651798494","0","-2889866924","0","1975075384","0","17184818560","0","-6251690582","0","-1955200320","0","2875767600","0","129560374","0","-7170072000","0","-15975704846","0","-38422209136","0","-19343322870","0","-27800975300","0","-21296851840","0","24082632972","0","-3307019408","0","31618932840","0","1278220424","0","-18142381440","0","130198400","0","4269230232","0","-13004475660","0","-15255180192","0","21161205120","0","31656443204","0","682938208","0","5153759472","0","-48529375920","0","705794560","0","7551503778","0","-23905075240","0","-5932061284","0","-3097664000","0","27999081550","0","1191047436","0","43631908662","0","-790365982","0","-25254685584","0","18129830400","0","4675541986","0","16007629332","0","-9723495352","0","-178762208","0","-5700275840","0","-17288824560","0","-7318028200","0","35566680292","0","23144796250","0","620404480","0","19401331680","0","-17713793902","0","-22718990415","0","193424164","0","23647890240","0","46263523632","0","-5119357848","0","17964229114","0","19045698574","0","7006835000","0","7070403002","0","1726347600","0","-383275750","0","39105823244","0","31201732160","0","3002048504","0","-943659264","0","21391497312","0","-34749781472","0","-10688615040","0","-42678642296","0","55368083816","0"]},{"label":"56.8.a.c","letter":"c","dim":2,"charpoly":["-15740","28","1"],"traces":["2","0","-42","0","14","0","686","0","990","0","-540","0","-462","0","-16728","0","-9128","0","-52654","0","-14406","0","-115864","0","-95894","0","-117180","0","-68680","0","-235228","0","-51408","0","4802","0","-87480","0","-601344","0","215152","0","-350372","0","697158","0","-773668","0","235298","0","-68268","0","594956","0","226296","0","3820332","0","806274","0","3168830","0","339570","0","2237268","0","-2815488","0","6490848","0","-754824","0","3907820","0","1783698","0","-185220","0","-5878360","0","-3334770","0","2348346","0","889276","0","-6233892","0","-8096396","0","-158466","0","-8288088","0","-10322104","0","-18166120","0","2368116","0","-6024018","0","11648700","0","-5737704","0","595368","0","-20955280","0","14742252","0","-3049992","0","-15689296","0","25435242","0","-3130904","0","-37950070","0","6534420","0","-921396","0","7433680","0","-25626720","0","79229234","0","-18060322","0","12491280","0","-5043268","0","21101262","0","78836664","0","8679384","0","27665204","0","-4941258","0","15752500","0","16886048","0","6399792","0","46855616","0","22691298","0","134336244","0","-39741352","0","-61910116","0","-754272","0","72483012","0","-42084374","0","-140076846","0","221342954","0","-32891642","0","-115283268","0","-138165256","0","-1623902","0","27452568","0","-47931324","0","6103944","0","-40192740","0","-211527128","0","-338337840","0","-47463696","0","231150180","0","-343645820","0","212690520","0","-23557240","0","-39020180","0","-227776248","0","-23787792","0","45337648","0","282697632","0","118490680","0","-80683204","0","-245836500","0","37549236","0","52532760","0","-37804338","0","-66848110","0","206236282","0","-17632944","0","-17134396","0","-234911008","0","579372528","0","426900920","0","-259952728","0","551630898","0","1647086","0","-357927120","0","-493551684","0","439572574","0","-25524576","0","54510288","0","445212180","0","-30005640","0","288402624","0","257661624","0","-534213148","0","948266844","0","585378570","0","68231296","0","-206260992","0","29112444","0","-683734372","0","439132932","0","-342133836","0","-420509390","0","668424288","0","73797136","0","-763939706","0","818265396","0","52104486","0","366266136","0","82464480","0","-526435728","0","-120177596","0","92042280","0","-322477516","0","-289127566","0","-1209797496","0","-1106179872","0","-660565136","0","239125194","0","770238804","0","126010008","0","-1012622184","0","82866172","0","53518542","0","-134815380","0","-265368124","0","-1025716676","0","-585319824","0","-582781080","0","-1539532448","0","-1031132844","0","248701824","0","80707214","0","1309933632","0","966591180","0","-881941718","0","522015840","0","1572676980","0","-983720304","0","-23415924","0","-788440464","0","1242619902","0","830835390","0","627853100","0","6414856","0","-357709464","0","204069908","0","938163892","0","2089606032","0","1062383196","0","-379095228","0","2421329568","0","-1680114660","0","77619528","0","1211916204","0","443867128","0","293456464","0","-1789081332","0","-1712880736","0","-915550678","0","1310373876","0","3651369216","0","1857738096","0","-849546306","0","-157052808","0","3881896872","0","-2970123828","0","276551982","0","1645305288","0","2074429332","0","-1144707634","0","-1021680340","0","-3011730372","0","451004624","0","1086908690","0","-2789856","0","-10831752","0","-1642576432","0","-70358928","0","5507967584","0","-2769958464","0","116472510","0","-2619065392","0","-2910230708","0","2188697028","0","-642020396","0","-212827608","0","-6697760496","0","767382924","0","3757350080","0","745373880","0","-2178332478","0","1951767184","0","856305408","0","-3720225222","0","-965712384","0","-2092739904","0","556383888","0","2385251974","0","-5872370220","0","-3359006588","0","-1739197236","0","2226360864","0","-1728678052","0","4122683432","0","-4699035600","0","-3203524512","0","758673496","0","-55897128","0","-258904632","0","4569736976","0","-7450666920","0","-2124197432","0","84192900","0","1166075106","0","-7438719414","0","1340382260","0","886173480","0","3620515152","0","-667364544","0","-3557625360","0","3518439120","0","-217519190","0","611808414","0","1840797400","0","3576157042","0","4529869218","0","-1556539548","0","3671272248","0","6500361000","0","-63530460","0","-750309292","0","3665990544","0","1961192660","0","11649987620","0","-2379345066","0","-2841063148","0","-2016277480","0","1815717168","0","3611076676","0","4577827128","0","228387168","0","-5289010202","0","3994319868","0","-1143826110","0","1243035840","0","3946521364","0","-965009136","0","5347035736","0","8455720644","0","6077721636","0","805482678","0","-2216262600","0","1127652516","0","-6140278298","0","-1818836008","0","-6121370556","0","6483213324","0","305021668","0","6880427160","0","-11559123008","0","-884486764","0","-7843407984","0","-389891530","0","13564460672","0","-2138224956","0","-8354336400","0","-5512402936","0","-871111920","0","4073023728","0","-5432084910","0","3501731520","0","-2777063828","0","-105672314","0","1418568768","0","-349241256","0","240933976","0","-11555122152","0","-9398566016","0","-54353838","0","-11581183656","0","3907405552","0","-4401747322","0","159810720","0","-5749184028","0","1159227216","0","-2842814184","0","-6549548320","0","1013918504","0","8812806660","0","-317499052","0","721808374","0","2060329824","0","-3540481672","0","-2970724624","0","-15549719760","0","-2171556072","0","257387708","0","5804791020","0","21105781074","0","-6230979160","0","-10924233972","0","-21005517024","0","11243482796","0","11173631136","0","-20155301796","0","5696303074","0","812263788","0","-9083329224","0","-1623005224","0","-9762601380","0","20897635792","0","10119318468","0","11728488576","0","-2066238174","0","-16054661128","0","-22058720856","0","1651591424","0","-597327408","0","-6186563376","0","18113421732","0","3995504100","0","9908680116","0","3687043456","0","9147187420","0","-8556487326","0","3512200664","0","10955294126","0","-1968032472","0","-1389732048","0","-7596259492","0","22976405424","0","7950615872","0","-9127897436","0","19820360826","0","204211224","0","8910383224","0","-6930576300","0","23376431792","0","25920721112","0","3075553152","0","696448872","0","-7187661040","0","-2633581908","0","13222340448","0","-20117888560","0","9835285068","0","4893536326","0","11957507884","0","5056592436","0","1029891964","0","-3532046112","0","10241660520","0","6084988788","0","43215706058","0","-7347088224","0","-1046147256","0","-13547060124","0","7357534896","0","18780138426","0","-99178136","0","-36693902196","0","1237700520","0","-5381428528","0","-5555029392","0","-24134034000","0","-25361171766","0","16716039648","0","21563505320","0","-10753387904","0","8724288006","0","-12343926900","0","-52493001488","0","2459337552","0","-11467432440","0","-29567503826","0","38431064532","0","-1073900072","0","22245301200","0","24496588080","0","-19480266036","0","-18994557506","0","-8093407140","0","-1329702542","0","-13016874010","0","-36074327844","0","16751373744","0","-8701607110","0","-24079165848","0","-15531419064","0","-38197841122","0","2241306060","0","9976679096","0","-2449380460","0","18415612194","0","-4795820352","0","-20285687688","0","-27336858192","0","-316038828","0","8056130296","0","-8547292584","0","-3621459716","0","-57960729832","0","-15005202912","0","7096590732","0","2549752240","0","-2254205052","0","58276813640","0","-14163089080","0","45516937536","0","30732671816","0","-11231537744","0","-8789964960","0","-13328292188","0","-21598532888","0","-1534480794","0","-7166444288","0","5585256432","0","-18608262288","0","27175627262","0","-2566928848","0","66600253740","0","-36205685040","0","3531938064","0","46303447932","0","-45229013144","0","-6194690446","0","58298009040","0","-1264695696","0","-6384770868","0","-43485603852","0","4113556398","0","-2457887600","0","4284509040","0","73306094404","0","21424914420","0","-46890453708","0","42325386532","0","18345265792","0","1581122592","0","-1729840924","0","11680749138","0","42299724312","0","1398669468","0","-47126471016","0","-7285753272","0","-34710004910","0","7237732866","0","28227080736","0","27377500044","0","-8709368472","0","13771939320","0","-28699165908","0","6264512772","0","27040975752","0","-9564245600","0","-4089360336","0","70653809184","0","-1173025520","0","19470530198","0","-5327736120","0"]},{"label":"56.8.a.d","letter":"d","dim":3,"charpoly":["-10484200","38300","586","1"],"traces":["3","0","12","0","-598","0","-1029","0","4071","0","7972","0","9170","0","-14496","0","43878","0","42156","0","-4116","0","123712","0","50781","0","502632","0","-52158","0","205040","0","683424","0","205114","0","4186","0","796080","0","-428482","0","-154700","0","-1854030","0","353392","0","352947","0","2605896","0","-3590550","0","251720","0","-4054728","0","-623356","0","-1181086","0","-1396353","0","-9845628","0","-2107940","0","-5938368","0","3924424","0","1784062","0","481956","0","-2734396","0","2759968","0","8466435","0","5270364","0","5815044","0","-6183720","0","4259070","0","-3145310","0","-8207664","0","2815504","0","11453542","0","34614708","0","22797546","0","18105736","0","4972128","0","-4285660","0","-4789470","0","3990264","0","30585966","0","-23843648","0","70669914","0","-15050154","0","46790855","0","-84340536","0","-4336476","0","-32286776","0","-34913664","0","22335628","0","-14459508","0","-123232320","0","-43836370","0","-5770412","0","-54897168","0","-50422456","0","125838252","0","1411788","0","-125419974","0","-3670640","0","125225550","0","-65532816","0","-88978750","0","71063208","0","-42433216","0","-29627668","0","-314925696","0","82351768","0","230287125","0","-166500948","0","37798354","0","-17417883","0","-19938216","0","13396108","0","-189862","0","443221440","0","52424124","0","561003240","0","-172402776","0","-267883744","0","42823118","0","-31085376","0","-143716582","0","267146856","0","461837232","0","17890194","0","100196724","0","-124066368","0","-39352768","0","606501516","0","-165744768","0","265217096","0","-70328720","0","-161488488","0","-506518092","0","425144464","0","204255897","0","-421268260","0","48227594","0","-234414432","0","-482399954","0","-105222384","0","-468013152","0","120176584","0","401529046","0","285706116","0","-70354102","0","-474437696","0","-438937896","0","402221428","0","-178469760","0","-1497001536","0","878582246","0","-1435798","0","-685981638","0","-178538392","0","724805580","0","-897706440","0","-163635854","0","-125901920","0","-273055440","0","-538331524","0","-316448102","0","-54028272","0","-376708578","0","-1239282412","0","824017920","0","146969326","0","1945680537","0","-649558392","0","-1038498134","0","1367797664","0","2188057536","0","223983424","0","53062100","0","164245344","0","-289472140","0","841103356","0","-340638768","0","-8731832","0","1698719918","0","635932290","0","-1028002222","0","1339920888","0","488491440","0","375087336","0","2084084926","0","-2127378504","0","-121213456","0","753296372","0","24713202","0","-1424724664","0","101224894","0","-1627155192","0","-605639776","0","-121060821","0","1504680960","0","2126647844","0","1169287202","0","2895771168","0","1056430230","0","-1160401200","0","-893822328","0","-1055428080","0","-135661353","0","2538976476","0","-1764220668","0","-1125077696","0","-4344005370","0","1231558650","0","2035749018","0","2145617856","0","-5692728132","0","-1475651388","0","749155776","0","-475907360","0","-86339960","0","-2456337468","0","-535324614","0","-413490432","0","-5130581256","0","1550460768","0","-4704606990","0","1390771704","0","-753173554","0","1623329040","0","-2697490854","0","1238373784","0","3562275102","0","-4381243752","0","213811108","0","-852125168","0","-2705650104","0","1654061740","0","-3097061878","0","-1950091440","0","-3823245894","0","405112498","0","11375419392","0","5097752792","0","-1412005338","0","-1579785408","0","4030743488","0","-271236360","0","478949079","0","3215933956","0","-1108899804","0","-2474502264","0","-5045100602","0","-7580013112","0","5381077152","0","3377050404","0","2557055958","0","10254126960","0","2632241682","0","-547544976","0","2811286272","0","-1688935380","0","723023420","0","584785968","0","795490448","0","-1103476380","0","-1055500830","0","2984941200","0","-2418832500","0","2036860224","0","2781046084","0","-1222361680","0","3681134880","0","4738099380","0","10246427748","0","-14279353368","0","-1346077432","0","1696686044","0","11939156592","0","8605445720","0","-3216406940","0","-2741099580","0","3328195874","0","-611933266","0","704188944","0","-924067360","0","-4213342112","0","2514097488","0","-463741554","0","-9571846348","0","-165310908","0","-3062513664","0","-921400373","0","-5361535836","0","-3491946588","0","-9472096360","0","-2636156592","0","937897828","0","-4346470846","0","-4970079792","0","-6184533812","0","-10578801236","0","20129532426","0","6212871480","0","-946669024","0","-3092993472","0","-4042230494","0","-12106044664","0","7378036416","0","-1315571732","0","-2282112620","0","-2903987205","0","-3525416618","0","1043455812","0","-5631974304","0","3670994240","0","-9279620746","0","419283432","0","-1807734852","0","-2467312392","0","-15500934060","0","4085569716","0","5014204912","0","-12778153464","0","965466614","0","-1994560092","0","3967732080","0","9628580520","0","-4218089634","0","23836352172","0","-10979134686","0","2098208480","0","2121015960","0","1701248496","0","-10699371958","0","28931894976","0","-14619812554","0","7824883172","0","11626982784","0","-1460861010","0","-10566957681","0","-15211616832","0","7563164436","0","-1073200184","0","4600449072","0","9250781712","0","1078841330","0","-1705069464","0","9602613502","0","-6170807076","0","4364562816","0","3099426184","0","18070721760","0","2815228752","0","-4870573198","0","-7408312432","0","-941348058","0","20250304668","0","-12270388038","0","57704393376","0","-965717872","0","-3189205248","0","12977741280","0","24221736168","0","6166721638","0","10374788664","0","-3358099798","0","-3928564906","0","-7387988616","0","7885495684","0","27311705828","0","-35780731344","0","-9864653316","0","15545408732","0","-11872844844","0","6014502768","0","-34326955044","0","-7551385992","0","10774272706","0","900974552","0","18078989568","0","-7819558278","0","-4775039142","0","-24113952672","0","15447028096","0","-11246248880","0","-56391149664","0","14235202064","0","-6210267448","0","-24368465784","0","-30038689122","0","-23792509880","0","37330281783","0","12110552904","0","7515618786","0","-1705439904","0","1126863824","0","-8509500756","0","-14180962656","0","21410660496","0","23596703052","0","-14144289060","0","1469981380","0","-20977477096","0","39295121736","0","-34911209024","0","10973812474","0","3466068480","0","1183456974","0","1642788210","0","-62812327212","0","-60665873392","0","27320848070","0","-6095123880","0","-51273367926","0","12574097968","0","-1368660552","0","23601921448","0","-10696592480","0","-21319525296","0","38201722724","0","3091131756","0","26621548800","0","-10490986338","0","29123229524","0","-11226218688","0","-27286867710","0","-19068025536","0","-34604088858","0","-32863916120","0","8178371264","0","-27656309424","0","31613093750","0","12737215300","0","9553150272","0","-19486570984","0","19707622496","0","-24239780502","0","1221003226","0","37391233688","0","45521185248","0","-18617641260","0","45904298658","0","24546194664","0","5162202822","0","-6226441056","0","22511804256","0","16767065160","0","30076644621","0","63644390136","0","-31804519722","0","-16049263265","0","-10189883880","0","-4728100096","0","1881818586","0","32141099856","0","-5492430530","0","52660584116","0","28928803848","0","13386892960","0","7897052836","0","-2377288860","0","4241304640","0","88732218344","0","-30941665074","0","1487411268","0","-21923821886","0","-62288768256","0","10959475398","0","-53561865060","0","-32250604800","0","34678741768","0","11074364168","0","114769542852","0","23270190416","0","14902497608","0","-30172611840","0","-23448154752","0","-20726059500","0","11975386752","0","4557317620","0","53465916852","0","30240040434","0","-52739212824","0","-19883074624","0","-125241282624","0","-7661120404","0","106855798872","0","32148929976","0","26501927760","0","-15257784058","0","-2073321336","0","21114637910","0","4959611244","0","-19094012064","0","-94703154096","0","-55491642882","0","-28537225848","0","-76086372014","0","35980429312","0","42268685760","0","-13954556740","0","68622126804","0","-40226456856","0","-14991101890","0","116157344544","0","-127043743680","0","15035874910","0","-52776843069","0","47917006740","0","-23257122380","0","33243325264","0","-78417318960","0","-66353754028","0","1979251316","0","-45017695344","0","55894849046","0","-67195119768","0","-79951534374","0","2670408760","0","-47925119860","0","18829728624","0","6073960320","0","20221326352","0","-60728773632","0","-82202879808","0","16048522410","0","4386695184","0"]},{"label":"56.8.a.e","letter":"e","dim":3,"charpoly":["46620664","-214708","-166","1"],"traces":["3","0","28","0","138","0","1029","0","-649","0","2052","0","10050","0","7568","0","33942","0","39276","0","9604","0","64128","0","201549","0","204568","0","255522","0","146880","0","420336","0","47334","0","820794","0","-408480","0","744798","0","-523500","0","694882","0","-1098432","0","352947","0","-2418104","0","-186870","0","-3263112","0","-514232","0","-3388476","0","-1358526","0","-222607","0","326676","0","-4556100","0","2060912","0","-4868616","0","2207118","0","-8839516","0","703836","0","-1301712","0","713075","0","549996","0","6128580","0","9446360","0","-4950450","0","3447150","0","13992784","0","20267232","0","2448438","0","15054228","0","12426426","0","3888264","0","2595824","0","25280580","0","21826530","0","1401624","0","-41688546","0","37960272","0","-25916934","0","11642106","0","5655495","0","40982056","0","-33286668","0","7613736","0","-51637264","0","-73347492","0","13471668","0","18335936","0","-36610770","0","5993268","0","-108863728","0","-32589864","0","-148591476","0","3294172","0","50985306","0","97534320","0","-131315650","0","-101768880","0","138498930","0","-156788632","0","21995904","0","90413868","0","143188128","0","-118667208","0","-109508475","0","-31434148","0","-48286494","0","69131307","0","69266376","0","149481228","0","197085018","0","-54593360","0","191387004","0","-239415480","0","70166824","0","77166576","0","250114302","0","-64992144","0","105079002","0","168073416","0","-305460288","0","87644046","0","726260916","0","89869408","0","-210625488","0","150760716","0","495915168","0","-658799784","0","50379840","0","-23498888","0","364413588","0","169932336","0","-579248519","0","-261047940","0","19040634","0","144175248","0","-125450226","0","548149584","0","-197535968","0","-451188696","0","270649446","0","-739575116","0","16235562","0","229307856","0","-792365976","0","-323241852","0","-152776800","0","-507109120","0","-1235513946","0","281532342","0","116266522","0","112329912","0","-614492436","0","-257632520","0","773250786","0","238321440","0","-140108640","0","-444522276","0","154905402","0","452929088","0","-1051446018","0","189617412","0","-414619408","0","255465714","0","613601817","0","866899048","0","-303506886","0","1246023696","0","-152270496","0","118224624","0","-179560500","0","507705456","0","-725642460","0","1250861004","0","-326732208","0","-1292759112","0","622978062","0","238344526","0","900601842","0","2189866968","0","-615088320","0","1220585544","0","1608270078","0","520512664","0","-376762176","0","70306932","0","-318113262","0","431714424","0","-285146034","0","-816195912","0","2099568384","0","121060821","0","-232882688","0","-998165724","0","-12471198","0","929631648","0","2812155990","0","483340944","0","-829409672","0","-3254859120","0","-1135901913","0","-107680916","0","-190898268","0","-3368329344","0","2130314150","0","-64096410","0","-470057478","0","-1462370688","0","60119292","0","2261565732","0","-81104464","0","-409878480","0","-1119247416","0","-2718777692","0","-1541826054","0","618689568","0","-50858104","0","-6594718848","0","1529142930","0","-176381576","0","1160251326","0","-752448720","0","-1657124438","0","-1328239944","0","2573530302","0","421993208","0","-1162247268","0","-3716927232","0","-4948033416","0","630438300","0","-1952830998","0","-3798444800","0","7111547850","0","-465974418","0","126284832","0","-968310888","0","1498432758","0","4997536384","0","2147327952","0","3948579240","0","-76354201","0","-3855121596","0","-7400887068","0","4092785704","0","5240498118","0","-2962080792","0","4366889968","0","112049868","0","-1483210458","0","3793403920","0","1471820562","0","8972305056","0","4767563360","0","2627300460","0","-1562742300","0","-278115552","0","1567542672","0","3396125076","0","-7852562270","0","1197315360","0","3466611180","0","706892816","0","-568710684","0","-3421909680","0","5117192080","0","4857703860","0","-3554232828","0","8733073752","0","-1669935288","0","1416986364","0","-4936305648","0","1530002280","0","-3672443052","0","-3160309180","0","5112069474","0","757041474","0","3630218416","0","2286475296","0","-14126971968","0","7096526528","0","6686280366","0","-3600940332","0","-3031953988","0","-6653095776","0","-5827788213","0","6876865044","0","124318788","0","-9568140600","0","-3260238688","0","241415748","0","-8544440766","0","5450815712","0","1545424908","0","-3883312404","0","-2339203654","0","-5492326440","0","-446487216","0","-2006326656","0","-4719633246","0","1819169976","0","-886853664","0","-109642068","0","-14839925916","0","244584725","0","10599760902","0","-1050004668","0","-5094211136","0","-35275104","0","-5792953194","0","6372209592","0","188648628","0","-7233356808","0","-890204316","0","-18455378316","0","-5681947728","0","1672486536","0","5763351126","0","2102102940","0","-1764736720","0","4094959320","0","-1846265874","0","-10731093012","0","10350912450","0","-10014601440","0","3240101480","0","5793982896","0","12309183498","0","-4973464384","0","1183421574","0","3880890612","0","4630718624","0","-1698004350","0","757188351","0","7967166912","0","15206408436","0","-7383216264","0","13160641088","0","-22156068576","0","1182372450","0","27204253656","0","18649979502","0","6592423836","0","2090057056","0","-9720483384","0","-6762495600","0","4799524912","0","30533870898","0","6460934784","0","-2842535722","0","-1063226052","0","946127082","0","-5390127456","0","6951660576","0","-5997740832","0","22992907200","0","1644104088","0","6183665862","0","18149741288","0","-14503798422","0","839814234","0","2116071944","0","-4629034044","0","-2311053852","0","-13546370656","0","12722095164","0","-12149081748","0","5163600204","0","-1199080032","0","3731221884","0","5331480728","0","5539067106","0","19108474968","0","-32389013216","0","4262264118","0","5519432058","0","-14966409232","0","-3275450976","0","-26693477424","0","-8357984656","0","8403538464","0","1333674552","0","27787031464","0","11674527102","0","-29461173240","0","-14345028457","0","6214819944","0","-14265170526","0","890367632","0","-30185899344","0","33861657324","0","-7447218576","0","-20341247376","0","-39790922484","0","-41343675300","0","8671238940","0","14473116024","0","-8905624136","0","-11812412304","0","-17909574","0","21440280960","0","-44998383666","0","7486499790","0","-18366996620","0","-19029794688","0","-11479824810","0","-9443557320","0","-6727788054","0","-8318881920","0","480757032","0","34538569128","0","34153993440","0","9445826096","0","-25437861324","0","32905031724","0","-7846013280","0","-14299171278","0","-1441971804","0","-17642613536","0","-491075310","0","48048829344","0","-16039350058","0","569508840","0","13020373296","0","-24020232576","0","-14778167610","0","-8968048140","0","15532135328","0","50662956648","0","-26373214416","0","-8889508362","0","6398007066","0","-743314968","0","-6398357616","0","-50044080780","0","-7357691262","0","37336729864","0","3993242358","0","51831418368","0","741718624","0","11186283240","0","45779743821","0","11993523864","0","937169286","0","1939834785","0","-9648892600","0","28611790944","0","72229415274","0","-27229879232","0","-64233414690","0","17254554756","0","14056845208","0","13440904560","0","27457416372","0","-28577860780","0","42906870720","0","9042661944","0","38459189534","0","-11417327124","0","307101186","0","11548975824","0","-655800282","0","15224943420","0","-16518925584","0","29686201512","0","2611511448","0","-8508985308","0","33571112304","0","41024441592","0","-12403024320","0","77059711968","0","65122051380","0","-17711581552","0","-42609034044","0","-44752710252","0","11478788754","0","2328884136","0","-30541200336","0","1418696720","0","-25158189756","0","-50676891768","0","22102678216","0","-64324568880","0","59470847142","0","-15795611544","0","6205247430","0","4620782124","0","11582955744","0","-126849263760","0","41038990542","0","-52040169688","0","-31372180254","0","76408052448","0","6289226048","0","5492406300","0","11070298644","0","-77858163096","0","7906617150","0","-37508633760","0","12935371680","0","-12557494110","0","-11612656509","0","-56198978220","0","770420196","0","-13258177584","0","-42723415280","0","-43400948268","0","2055690924","0","-25040597952","0","-55409323146","0","44046695592","0","10709122586","0","-52894437960","0","51693343788","0","-37340258704","0","-69327586080","0","-49416066528","0","40639218032","0","12410171904","0","-88231393110","0","63363054384","0"]}],"seconds":0.313,"computed":"atlas","estimate":{"seconds":0.672,"low":0.41,"high":1.163,"bytes":1994537}}