{"label":"26.10.a","level":26,"weight":10,"dims":{"new":9,"cusp":29,"eisenstein":4,"modsym":62},"old":[[2,1,2],[13,9,2]],"T":[[3,1],[5,1]],"status":"proven","checks":["dim M^+ at levels [1, 2, 13, 26]: [1, 3, 11, 33] (certified at ell = 2147483629)","T = [(3, 1), (5, 1)]; h of degree 9 = 1 x 9 (phi(ord eps) x dim S_k^new); 4 primes, 0 rejected"],"newforms":[{"label":"26.10.a.a","letter":"a","dim":1,"charpoly":["-742","1"],"traces":["1","-16","-273","256","1015","4368","3955","-4096","54846","-16240","-50998","-69888","-28561","-63280","-277095","65536","509757","-877536","-626574","259840","-1079715","815968","653524","1118208","-922900","456976","-9599499","1012480","-4943006","4433520","4071700","-1048576","13922454","-8156112","4014325","14040576","2348883","10025184","7797153","-4157440","-13350960","17275440","-7834847","-13055488","55668690","-10456384","-39637681","-17891328","-24711582","14766400","-139163661","-7311616","73200924","153591984","-51762970","-16199680","171054702","79088096","-141141614","-70936320","-132061256","-65147200","216915930","16777216","-28989415","-222759264","-185673110","130497792","-178412052","-64229200","224452625","-224649216","-172523674","-37582128","251951700","-160402944","-201697090","-124754448","-643288156","66519040","1541129409","213615360","720077280","-276407040","517403355","125357552","1349440638","208887808","-73028106","-890699040","-112958755","167302144","-1111574100","634202896","-635972610","286261248","-15879778","395385312","-2797036308","-236262400","1152754052","2226618576","-113891864","116985856","-1095910725","-1171214784","416136124","-2457471744","-297357773","828207520","-641245059","259194880","-573149534","-2736875232","663326860","-1265409536","-1566456606","2258265824","2016088935","1134981120","242848313","2112980096","3644812080","1042355200","-2919165375","-3470654880","-3350944400","-268435456","2138913231","463830640","3380725069","3564148224","-2478100170","2970769760","-9743491485","-2087964672","-65239236","2854592832","-3816566675","1027667200","10821086913","-3591242000","1456553878","3594387456","-5017151090","2760378784","6746261886","601314048","-5253623250","-4031227200","-7468674147","2566447104","27958132422","3227153440","4132775500","1996071168","2501008118","10292610496","-19983852252","-1064304640","2584687420","-24658070544","6367127396","-3417845760","14131290810","-11521236480","-10891039416","4422512640","815730721","-8278453680","-34365077604","-2005720832","-3900422972","-21591050208","-3650069500","-3342204928","38531660622","1168449696","7763623965","14251184640","11864754816","1807340080","36052722888","-2676834304","2384116245","17785185600","-25996587486","-10147246336","-37966018545","10175561760","-19037655778","-4580179968","-15163984960","254076448","7914110295","-6326164992","-21878609511","44752580928","240125954","3780198400","50688759030","-18444064832","-19549588730","-35625897216","-13551224400","1822269824","35843177304","-1871773696","31954020852","17534571600","-37647253051","18739436544","-61275566625","-6658177984","-7952369705","39319547904","16103573500","4757724368","47098963002","-13251320320","-14559169677","10259920944","49588802409","-4147118080","-50617373400","9170392544","49560138984","43790003712","-43682750871","-10613229760","55063305570","20246552576","45410938349","25063305696","-40232246215","-36132253184","175617666588","-32257422960","15293527755","-18159697920","31136560818","-3885573008","-231781389840","-33807681536","-25082255730","-58316993280","17895580014","-16677683200","-196581097440","46706646000","114721026936","55530478080","-33328416952","53615110400","-141251115915","4294967296","-43494448095","-34222611696","9289832265","-7421290240","-271104107076","-54091601104","66582414372","-57026371584","74298937860","39649602720","19936672938","-47532316160","43359375144","155895863760","61156990591","33407434752","30837740115","1043827776","47066054200","-45673485312","-56297647188","61065066800","223316458200","-16442675200","106179026582","-173137390608","48720195556","57459872000","173620522530","-23304862048","-52803046800","-57510199296","141264322552","80274417440","4335179394","-44166060544","-195096622585","-107940190176","-143258738210","-9621024768","489555250002","84057972000","-18665298964","64499635200","-30986819885","119498786352","-314701856196","-41063153664","-134042174840","-447330118752","219415665770","-51634455040","31092478872","-66124408000","-53719281978","-31937138688","275468090759","-40016129888","220169668950","-164681767936","-142713423570","319741636032","252083419988","17028874240","-113605161852","-41354998720","-319400482518","394529128704","26358946900","-101874038336","81178672029","54685532160","-156767028355","-226100652960","-175507693420","184339783680","128826837018","174256630656","-188458206650","-70760202240","-430700479537","-13051691536","156469822782","132455258880","-207648556600","549841241664","-257332822495","32091533312","-181088232780","62406767552","45647395005","345456803328","74244215935","58401112000","274171290939","53475278848","-528812234764","-616506569952","227819414375","-18695195136","-550392279255","-124217983440","129531211344","-228018954240","69907279697","-189836077056","-66297589449","-28917441280","-175111529110","-576843566208","426365867090","42829348864","-732246752160","-38145859920","289509654420","-284562969600","72660152396","415945399776","796932147375","162355941376","141177194366","607456296720","33934209424","-162808988160","914807821200","304602492448","-241078033911","73282879488","-204722546350","242623759360","-429710018562","-4065223168","301320627378","-126625764720","333138433668","101218639872","-922937943837","350057752176","-652937478340","-716041294848","841445920202","-3842015264","676521346410","-60483174400","-299661013128","-811020144480","-116291823700","295105037312","1564246350135","312793419680","-119788335234","570014355456","-100236761852","216819590400","17810311428","-29156317184","-558215083370","-573490836864","730878439200","29948379136","1041922702275","-511264333632","85243804071","-280553145600","-468175712909","602356048816","-2173968252126","-299830984704","-470454735300","980409066000","-522302267480","106530847744","-397639208694","127237915280","560477685411","-629112766464","710330843983","-257657176000","1369682247570","-76123589888","-409481146776","-753583408032","-58677393010","212021125120","-1355331426372","232946714832","-895095748341","-164158735104","-74123527590","-793420838544","1434239147250","66353889280","715233774326","809877974400","680872258080","-146726280704","2038948042131","-792962223744","-114653136325","-700640059392","354037891114","698924013936","-4893411811743","169811676160","880144006155","-881012889120","827555574856","-323944841216","-1128247711500","-726575013584","577865384740","-401012891136","-734337150050","643715939440","-682775216214","578116050944","399561527306","-2809882665408","578265144600","516118767360","4014777877704","-244696444080","-735347039505","290555166720","-67086447363","-498184973088","-705619665660","62169168128","-16117974670","3708502237440","-1197421947448","540922904576","-1738225779108","401316091680","288203452721","933071892480","-2519731909542","-286329280224","-2838991852620","266842931200","887710131875","3145297559040","586544701840","-747306336000","2973253760568","-1835536430976","1123882400486","-888487649280","1170045362780","533254671232","-222694486833","-857841766400","-2437864535326","2260017854640","-682331130670","-68719476736","6014796486426","695911169520","-115600241960","547561787136","2021442455638","-148637316240","1064815471356","118740643840","-890969714817","4337665713216","625162613820","865465617664","996468973500","-1065318629952","2075577576900","912421945344","-1374059042887","-1188783005760","-7741052961444","-634393643520","381316768560","-318986767008","422378165860","760517058560","-2119469342445","-693750002304","1260241258836","-2494333820160","-3669325722271","-978511849456","-3239078064768","-534518956032","-301818139595","-493403841840","-584419391657","-16701244416","-7243031646576","-753056867200","3097159041444","730775764992","-2544204656980","900762355008","-650863734885","-977041068800","378849018561","-3573063331200","223771065167","263082803200","7097068383678","-1698864425312","3415639002025","2770198249728","-581746777010","-779523128896","6095166812595","-919357952000","-1455151989937","-2777928360480","2052195919227","372877792768","5197280027394","844848748800","-603137299600","920163188736","-4212313293006","-2260229160832","4139767894080","-1284390679040","2847905642400","-69362870304","-3733100722152","706656968704","-1589953455090","3121545961360","-2687702105300","1727043042816","-2551221355800","2292139811360","5972860396503","153936396288","665599381786","-7832884000032","2046330269025","-1344927552000","-65554385442","298644783424","-3389206810150","-1031994163200","316186612045","495789118160","-10183427391060","-1911980581632","246491037695","5035229699136","5153524746162","657010458624","5337037723290","2144674797440","1132091807041","7157281900032","-5317188343942","-3510650652320","3699484261200","826151280640","-3652669498048","-497479661952","348471577996","1057990528000","-6273502984476","859508511648","-288826159230","510994219008","-1160413793125","-4407489452144","-8723447692596","640258078208","1197359551431","-3522714703200","1689363233305","2634908286976","10277700082923","2283414777120","-3401208566000","-5115866176512","705787493502","-4033334719808","12310328670750","-272461987840","5118121863038","1817682589632","-1433411224966","661679979520","2170996929465","5110407720288","2243493107966","-6312466059264","7197940030772","-421743150400","-4396275565500","1629984613376","4703518436472","-1298858752464","3431435945035","-874968514560","-9462233424204","2508272453680","829484296020","3617610447360","-792098057578","2808123094720","3974653321821","-2949436538880","-2515271672550","-2061229392288","-3230373053144","-2788106090496","-13537743057657","3015331306400","6734859933488","1132163235840","5562342722005","6891207672592","8859377627100","208827064576","220470287004","-2503517164512","-62804521990","-2119284142080","-13529917942632","3322376905600","-3698790056020","-8797459866624","-66217824540","4117325159920","11925390987783","-513464532992","-2090691590364","2897411724480","-5403542089496","-998508280832","-11062278598140","-730358320080","-3873815175125","-5527308853248","-6805745316720","-1187907454960","-12397186169277","-934417792000","-9916763532828","-4386740655024","-1471749016842","-855604461568","10983403216695","8460995756224","4559142275660","9864105119232","9839896333670","-3645110630000","-35281782203976","299123122176","2660953670800","8806276468080","1478402186170","1987487735040","-4175133077115","-2072499381504","-8290645811570","3648303267840","-450442322120","-1118516475152","-8500281103314","3037377232896","4561900237400","1060761431184","-7626230774810","462679060480","32942269268973","2801784465760","-3993868102179","9229497059328","1201905983981","-6821853873440","6847455814290","-685269581824","9468957263780","11715948034560","8419890147156","610333758720","-4885493343822","-4632154470720","7663003126283","4553007513600","-5332427598750","-1162562438336","39493358498880","-6655126396416","1645818370420","-12750914358000","-5774871308472","-2597695062016","-31318840353528","-2258835109856","-7580704259205","-9719300747520","3743118302292","-542947350784","9098657827896","2604943810560","-10052279593578","-14636925139200","-1176049992215","-4873639879168","28377504408330","3857248542576","4031145637454","-1172526071808","2838290333280","3275560741600","11873984329935","-3881980149760","-10926181316717","6875360296992","-3757771930000","65043570688","-2536124208345","-4821130038048","8365364411040","2026012235520","-11446634969750","-5330214938688","47450381153994","-1619498237952","2538523239770","14767007101392","11591804115824","-5600924034816","-18176999123556","10446999653440","-2266806406970","11456660717568","3771801532616","-13463134723232","-20283610035780","61472244224","1281487918422","-10824341542560","-20205585353517","967730790400","-4005299501676","4794576210048","8798362326652","12976322311680","2623457731300","1860669179200","-11837109414312","-4721680596992","12719938310703","-25027941602160","14330220836492","-5004694714880","-16695858431343","1916613363744","6462634306940","-9120229687296","4909111424178","1603788189632","-6195335876730","-3469113446400","-1402248446609","-284964982848","17709011102514","466501074944","-12849032796600","8931441333920","-8466139266534","9175853389824","21081771560650","-11694055027200","15369257682324","-479174066176","-12596901905574","-16670763236400","-11054405007240","8180229338112","-39086280078300","-1363900865136","12913639634320","4488850329600","9926162340167","7490811406544","-28986874256886","-9637696781056","827966681815","34783492034016","960465077915","4797295755264","-13300613386788","7527275764800","1535051413692","-15686545056000","-9788964179495","8356836279680","-34880553768060","-1704493563904","116791842254","6362227339104","-16922359644508","-2035806644480","14415231776400","-8967642966576","-23560449423745","10065804263424","-3958929316580","-11365293503728","-38565160056696","4122514816000","32806409379688","-21914915961120","5303009694710","1217977438208","-870942304188","6551698348416","-11545299058125","12057334528512","10813660623345","938838288160","53261377965705","-3392338001920","30046336537749","21685302821952","22029596020435","-3727147437312","39109635531330","14321531973456","-190824704104","2626539761664","-13252985102000","1185976441440","-78594517600182","12694733416704","24835940334894","-22947826356000","7880078324475","-1061662228480","5095626617172","-11443740389216","-20126437530200","-12958047590400","37314683415468","-10893956129280","8459401828605","2347620491264","12042726138240","-32623168674096","22095024058581","12687395579904","63223948735992","1834450181200","-2549836724226","11210240950272","-36722501125440","-5664606257824","36593513731320","-11182784222976","13370767647895","78294588987888","-32935022679432","-2716986818560","-59900476755210","-14082304098480","-6410591422625","14096206225920","-2167784120700","-13240889197696","-6246513172944","5183117459456","479945702412","18051963384000","15483634780068","11625200217344","14665363979994","-9245846155840","-26386536298290","6416206258176","23383522059318","11749394400800","-75202788777207","-10299455031040","16371188697233","10924403459424","-8725172783040","-9249856815104","-38535508823175","-6392984436896","-36289436460102","44958122646528","4927448653114","-9252242313600","38960764634610","-8257900277760","25457852935447","-64236446043264","-19323220614670","3915143105280","-68818773656724","11765552632080","-258021178380","-4648882667520","-9860881270671","1073383157808","22823401856904","7970959569408","-15391444734400","11289914650560","-782018036539","-994706690048","87196331727414","257887594720","42795171069027","-59336035799040","-15094521199625","19158751159168","-7195992503700","-8654766473216","-42308013518766","27811612465728","3724287349788","-6421057466880","-16308884417958","-4611255243536","18791646902899","-14929150279680","-22206788653665","40315710552672","42797398740915","4581268483584","-5120260550828","45423869641920","29191357838454","-4269486899200","47913600303660","-14203362110000","243727843310","-50324760944640","-11944086420634","-9384715229440","-22548100009617","11956901376000"],"derived":{"al":[[2,1],[13,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"26.10.a.b","letter":"b","dim":1,"charpoly":["1118","1"],"traces":["1","-16","192","256","-1310","-3072","-5810","-4096","17181","20960","-4498","49152","-28561","92960","-251520","65536","-237498","-274896","-913014","-335360","-1115520","71968","201544","-786432","-237025","456976","-480384","-1487360","1276834","4024320","4163770","-1048576","-863616","3799968","7611100","4398336","-18442662","14608224","-5483712","5365760","-22601670","17848320","11726308","-1151488","-22507110","-3224704","59291534","12582912","-6597507","3792400","-45599616","-7311616","108158694","7686144","5892380","23797760","-175298688","-20429344","-14920154","-64389120","-57003746","-66620320","-99821610","16777216","37414910","13817856","22074010","-60799488","38696448","-121777600","44416250","-70373376","265794626","295082592","-45508800","-233731584","26133380","87739392","476755484","-85852160","-430407351","361626720","-505315830","-285573120","311122380","-187620928","245152128","18423808","890840634","360113760","165939410","51595264","799443840","-948664544","1196048340","-201326592","-802776958","105560112","-77280138","-60678400","1199980382","729593856","-958026824","116985856","1461331200","-1730539104","-2390505296","-122978304","-1701710318","-94278080","-3540991104","-380764160","-1407926834","2804779008","-264022640","326869504","-490706541","238722464","1379863380","1030225920","-2337715687","912059936","-4339520640","1065925120","2869096500","1597145760","-3312103880","-268435456","2251451136","-598638560","3063894064","-221085696","5304611340","-353184160","629303040","972791808","562781394","-619143168","-460597040","1948441600","11383974528","-710660000","128467378","1125974016","-1672652540","-4252714016","-1266721344","-4721321472","-601716750","728140800","-12669453162","3739705344","-4080453138","-418134080","-5454538700","-1403830272","-200733022","-7628087744","20766469248","1373634560","-1170970640","6886517616","6324913766","-5786027520","1131336960","8085053280","15140024214","4569169920","815730721","-4977958080","-15686493534","3001934848","-1634830442","-3922434048","1377115250","-294780928","-2864669568","-14253450144","-4129796820","-5761820160","-21309166374","-2655030560","-10944719232","-825524224","24159887220","-12791101440","1068266004","15178632704","2791031040","-19136773440","-30864053788","3221225472","-4549172350","12844431328","7183662720","-1688961792","22607583834","1236482208","10502749424","970854400","4238209920","-19199686112","-7418405540","-11673501696","29608187700","15328429184","3462727464","-1871773696","4106736972","-23381299200","-5664201976","27688625664","8527920000","38248084736","-15361463480","1967652864","-24191503700","27227365088","51032568192","1508449280","6783180378","56655857664","-31960687446","6092226560","-4072326525","22526829344","-50778218526","-44876464128","59983616754","4224362240","5017608960","-5229912064","47722790474","7851304656","-77671909540","-3819559424","91537052928","-22077814080","-87156935550","-16483614720","-104204743302","37403450992","-73182813120","-14592958976","8642734170","69432330240","26076592854","-17054801920","-97020639360","-45905544000","2820266796","-25554332160","-906544912","52993662080","59735496960","4294967296","-14157262830","-36023218176","107151866220","9578216960","21937284954","-49022305024","-35849697708","3537371136","-141687889140","-84873781440","171041401728","5650946560","-71439358926","-10068848640","-6793437554","-15564668928","31860366720","-9004502304","1066138450","9906290688","-69310302978","7369552640","71537732370","-31175065600","31036854962","-182143592448","135312272356","11370560000","229641281280","-2055478048","131315702700","-18015584256","-62182576493","26762440640","-154133175936","68043424256","-75507805870","20267541504","19545401740","75541143552","2160767232","9627468000","-5756298184","-11650252800","-68129849480","202711250592","230396233344","-59835285504","74674907260","65287250208","14275984910","6690145280","-183941150208","87272619200","3584264832","22461284352","279830281334","3211728352","130766309100","122049403904","24014805810","-332263507968","-5743199332","-21978152960","-458977016832","18735530240","216838998972","-110184281856","6769671025","-101198620256","-326728381056","92576440320","-344483812540","-18101391360","373008600890","-129360852480","-316863375822","-242240387424","-28916953100","-73106718720","191157423158","-13051691536","-270321952128","79647329280","-18728637460","250983896544","272785972340","-48030957568","-50692346880","26157287072","86039777640","62758944768","-133612155350","-22033844000","13720247424","4716494848","-62379872014","45834713088","-58185287500","228055202304","264933768960","66076749120","-382738889106","92189122560","510906866417","340946661984","-448841411904","42480488960","-348190960060","175115507712","259802440220","13208387584","-388319292270","-386558195520","-628402012140","204657623040","470945864906","-17092256064","550866528000","-242858123264","-36467655874","-44656496640","-360046149926","306188375040","-635923944960","493824860608","-95937959166","-51539607552","-34234727800","72786757600","201469697748","-205510901248","-460488214182","-114938603520","-47866296912","27023388672","588267660288","-361721341344","-624549684040","-19783715328","290299093922","-168043990784","1018485377280","-15533670400","685494549882","-67811358720","-118921434970","307194977792","563833629810","118694488640","82955093676","186776027136","1000295871538","-473731003200","108054027648","-245254866944","86686094740","-55403639424","661963737300","29948379136","-88434631680","-65707791552","-864797754984","374100787200","-95778383894","90627231616","1018687845654","-443018010624","56292963450","-136446720000","331191764260","-611969355776","24665736576","245783415680","-127184789934","-31482445824","-155264147342","387064059200","-321149287680","-435637841408","-184012493616","-816521091072","-1026095860240","-24135188480","-113351767767","-108530886048","252039378024","-906493722624","-1167001230540","511370999136","-115529616000","-97475624960","766198326746","65157224400","101662311660","-360429269504","-2432535007104","812451496416","-217380627100","718023426048","1756830870754","-959737868064","114090239232","-67589795840","-1131271317990","-80281743360","-271656661274","83678593024","-1047271430400","-763564647584","-954617088140","-125620874496","-128249998100","1242750552640","-38540740224","61112950784","-52744933384","-1464592846848","216407143350","353245025280","1858274521614","1394510968800","1436796300030","263737835520","526740869382","1667275892832","-224826362880","-598455215872","1051637814980","1170925009920","-1227440408398","233487343616","1214383443072","-138283746720","-1003890286324","-1110917283840","-303245521332","-417225485664","101236980780","272876830720","-258058412500","1552330229760","-758261716670","734488704000","2906884649088","-45124268736","1820317523516","408869314560","-1571974300420","14504718592","156620298432","-847898593280","657012402194","-955767951360","-1544266777060","-68719476736","438597317376","226516205280","1255015139440","576371490816","-266693319932","-1714429859520","-313887444864","-153251471360","317678026758","-350996559264","-2883653985000","784356880384","264406128000","573595163328","-988887047460","-56597938176","-1760532677527","2267006226240","-256343165874","1357980503040","645526296870","-2736662427648","3131561937760","-90415144960","-792920989440","1143029742816","29675586486","161101578240","2167534389434","108695000864","-4091359943808","249034702848","2229240516580","-509765867520","-914426963552","144072036864","-979381360026","-17058215200","-1165767317676","-158500651008","-2769949362040","1108964847648","4638698346240","-117912842240","17579072586","-1144603717920","-334915082788","498801049600","205107072768","-496589679392","-3706437952100","2914297479168","1844384152540","-2164996357696","2500666709310","-181928960000","-3400507414582","-3674260500480","-4462702989228","32887648768","-5925898327296","-2101051243200","-47770966600","288249348096","3471933905274","994921223888","-873441091200","-428199050240","2935884972300","2466130814976","-486497805612","-1088694788096","642825568710","1208124893920","2862656621290","-324280664064","-3801580302780","-312726427840","4340656096128","-1208658296832","-838216629734","-34572275712","-1807621027800","-154039488000","2016527889408","92100770944","3944885077220","186404044800","4998654865510","1090077591680","379253565810","-3243380009472","3062407549970","-3686339733504","-395582111148","957364568064","-1424333863680","-1194798516160","-1693425502574","-1044596003328","5036172093818","-228415758560","5684772038400","-107042324480","4068286627682","2943058403328","-4731360880274","-1396361907200","-96818512896","-57348237312","-5175784083540","-359380549632","-3295576961875","-4477284501344","788493498624","-51387653632","4380095339676","-2092260945600","3450187377190","-1952790462464","-1087526779392","-384236892960","4338856082800","5316216127488","188431397427","91891189312","763115591250","351650447360","-3874609749082","7343632269312","2777517096914","-299768483840","-2949400988160","-3469423983552","6120248998496","1762948509696","67110852692","-108314736400","-4644768710400","1619177924096","2500387969842","5227654096896","-4013701223840","-1481223045120","4566617469306","5511741000640","-6136764279360","289622261760","-6283693115038","-5968137614240","1302370632576","2069773639680","-6949040855400","5069814013152","257338231696","3875846198784","-6136451989632","462671249600","256402849508","1169707499520","-7986162617690","-3058518770528","113863017600","208827064576","-3644276917146","4325151234048","4664134125980","-1274357268480","-9749417956992","299658199360","-1112733296530","-4015742344704","-737243626140","-4364575557440","11516854416768","768495321088","-3089120459334","811077550080","-2758105109006","-418516593152","448997601780","-1376636442240","603382122400","-1004143116288","5367851421660","2137794485600","9162775771008","352541504000","8088802183602","-219523958784","16838408603268","-75463917568","-14913006631680","998077952224","-6971886019420","-733355409408","219552329930","930964600000","8191135970604","-3648883236864","839182860880","-4238940303360","-168292265180","-1057227985920","-16734131625600","6123822225696","-8585321187560","-1475025960960","5566135847440","-8174509862672","-20007310713984","-5455146591744","-302641578850","7181462590464","759562780000","-679687823360","-5579392229307","5571055360960","-2784974697384","-2801848123392","-7830050845894","-4156839043520","1659404960640","-211334201344","-99288896980","6213108676320","5416429108086","6184931128320","5006705827968","10054432194240","2664079613858","-3274521968640","788248942500","-7535133838496","-8681831275230","273476097024","13888835769760","-8813864448000","5828817462528","3885729972224","541491224832","583482493984","16596983642220","714503946240","5678689984182","5760738398816","-174056623104","-4899014000640","-11249028474798","10174783119360","9886936947580","-7901197769728","5345393610780","1535007346656","426134518394","824633720832","5029429173450","547755644800","-2718194463360","-1164588121600","12261959182258","-3223515163968","-986917584250","3288174419968","20573158314240","7367811426912","20635641133380","1839017656320","-199784292500","765860750592","-613370624256","-432374218752","262960258820","-9412282564608","-11397797161066","5787541461504","-6883141959936","9992794944640","8180054905540","316539445248","1628083989506","-4644785502752","-27204074714880","2688703852544","9666700707762","-16295766036480","-14081620741932","248538726400","15305532932754","-10967912798112","-1195544227748","1084981739520","1533971538400","1902742959520","-13716356913792","-4915119644672","4899879558918","-9021338076960","-9973932549958","-1899111818240","-1304340010368","-1327281498816","-8285637033460","-2988416434176","-10706283372312","-16004733944608","2851005003210","7579696051200","-6203756664734","-1728864442368","20525463348264","3924077871104","204698582400","-1386977515840","-15244711974474","886458230784","1591947759670","-10591419796800","-13307578171776","-479174066176","1566894717486","1414954106880","-19833431720340","1051324664832","-2000208487680","13836764079744","-556667724410","-5985612595200","-12876840912313","1532454142304","5959076152704","-1450035705856","-1068607244510","-16299005530464","13582128141470","7088288169984","25979956292352","-900687415200","-3717007870128","2183147520000","-17695861252550","-5299068228160","20549306529540","9791509692416","13406418995354","-394651785216","21621531679112","-3932534650880","25212614918400","2034956638944","-10963745052910","503719133184","2141627879020","2484226357472","-11939054686656","-6193024947200","-2144446167032","5138388602880","-630455799610","6970205462528","-13792510915398","2944199897856","-16669450665000","13064337457152","12095516548530","16417533763840","-14497498727040","386163015680","-33349257619566","1813628284272","-10145470881860","1736494176768","3752717134080","-4032630048384","30481612675556","14503899561984","19243323542800","18672019688640","1935972264798","-8181935986176","-54134000623476","1848473856000","5410033834200","1559609999360","-1105209251328","-12259173227936","5316443104180","-1042515590400","-25687473507612","-1626596986560","-13080931100160","5766868312064","27915007949940","38920560113664","-2088229186044","-12999223942656","20616862943142","3478090033600","-17074714380036","-11488374816768","2272910603340","-28109293932064","14337582193920","15355805889024","-17801224511840","-1825443827712","-3861771925932","1081436733440","2740989102720","18100341087840","-1268572516250","1284507893760","4371371960550","4346506580384","-16459858863144","-1338857488384","27239231256522","16756342886400","6023616256098","12217034361344","688178847744","15273873410240","-1399428465240","2009933991936","-13382966764182","2051999969600","53727414016128","-19884008842240","5786142110378","616651843584","-4555230978480","-977807212544","-3656250662400","843918934144","-40319072737722","23433485549568","-7591360313186","-3462514293600","4610842715520","-5651920404480","14662486302682","-29732392345824","40431910462280","-22312175500800","-1102694271744","-22988740800480","-3269759899140","-4219805368320","-9102641547771","-8427853910112","-41071271490576","-26676414285312","5959415778500","3597221806080","18766195506146","9575283453952","41633087802624","-16826205039680","26696416647312","-18734800158720","2676068802400","19639046534368","1299776836800","-3735797497856","14440809770514","-19430135089152","-4007001171732","2212539947520","-29237084973558","16062244581184","39650674158814","17774676541440","-29615934822540","4851928341312","-66140892007680","6675607770624","2363367019552","-1619791692480","-40483278611796","-4366029291520","71617651370880","4128934600000","-13758601745440","-24837283676160","-25214839686874","12132187466720","8859559742208","-11751819264000"],"derived":{"al":[[2,1],[13,1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"26.10.a.c","letter":"c","dim":1,"charpoly":["1904","1"],"traces":["1","16","75","256","-1979","1200","-10115","4096","-14058","-31664","18850","19200","28561","-161840","-148425","65536","-142403","-224928","83302","-506624","-758625","301600","-536544","307200","1963316","456976","-2530575","-2589440","-2600442","-2374800","-2214004","1048576","1413750","-2278448","20017585","-3598848","18099241","1332832","2142075","-8105984","26812240","-12138000","-42253475","4825600","27820782","-8584704","35914993","4915200","61959618","31413056","-10680225","7311616","-66514064","-40489200","-37304150","-41431040","6247650","-41607072","-108164002","-37996800","-207449912","-35424064","142196670","16777216","-56522219","22620000","193015514","-36455168","-40240800","320281360","-201833497","-57581568","-121628110","289587856","147248700","21325312","-190667750","34273200","112871912","-129695744","86910489","428995840","308254212","-194208000","281815537","-676055600","-195033150","77209600","-6374870","445132512","-288894515","-137355264","-166050300","574639888","-164854658","78643200","871266886","991353888","-264993300","502608896","-824411884","-170883600","-1658955884","116985856","1501318875","-1064225024","1151653740","-647827200","-2784796967","-596866400","1357443075","-662896640","678546906","99962400","1061820576","-665713152","-401510538","-1730624032","1440406345","-607948800","-2002625191","-3319198592","2010918000","-566785024","-20167989","2275146720","-3482917380","268435456","-3169010625","-904355504","5027011649","361920000","-842599730","3088248224","5008007925","-583282688","-6389036816","-643852800","7626649569","5124501760","2693624475","-3229335952","538374850","-921305088","5146274718","-1946049760","4646971350","4633405696","-9234547974","2355979200","-3254511765","341204992","2001901374","-3050684000","4381513916","548371200","1628246702","1805950592","-4988554800","-2075131904","5427142560","1390567824","-11318743360","6863933440","-2797811250","4932067392","1723062936","-3107328000","815730721","4509048592","-1171059516","-10816889600","2763474352","-3120530400","-19858941340","1235353600","-8112300150","-101997920","6866819889","7122120192","-24153445708","-4622312240","-15558743400","-2197684224","-35818397939","-2656804800","-2684296550","9194238208","25596766125","-2637674528","35998321610","1258291200","-17003144852","13940270176","-4239166425","15861662208","39829173939","-4239892800","1310812774","8041742336","14476163550","-13190590144","26303470830","-2734137600","-53061422960","-26543294144","7542735552","1871773696","1570242700","24021102000","23577677769","-17027600384","-15137512275","18426459840","83619627025","-10365235200","22394650460","-44556751472","-9122108250","-9549862400","-4067172083","21719089200","2383260047","-10606346240","-27600296328","10856750496","-7465478960","1599398400","26396637115","16989129216","-14300081250","-10651410432","24045671229","-6424168608","-71075771147","-27689984512","8465393400","23046501520","59631753645","-9727180800","12563927542","-32042003056","56327594400","-53107177472","-122618084022","32174688000","2379188422","-9068560384","23119065900","-322687824","24177128192","36402347520","-10113854400","-55726678080","21136165275","4294967296","29686844217","-50704170000","-183073822715","-14469688064","36557013636","80432186384","-75914603108","5790720000","131631332656","-13481595680","-478115250","49411971584","-25714879528","80128126800","-80889023143","-9332523008","-21667088625","-102224589056","37008506600","-10301644800","-34003494428","122026393104","31124468232","81992028160","-7148313142","43097991600","-78050780404","-51669375232","-12364099350","8613997600","-271205807600","-14740881408","-98309262088","82340395488","65345016450","-31136796160","-126661861739","74351541600","214056559958","74134491136","-47701338750","-147752767584","-15324233184","37695667200","427393899625","-52072188240","-61830891300","5459279872","410543375848","32030421984","61506381958","-48810944000","-124421691300","70104222656","216398352630","8773939200","244634017959","26051947232","-281407209930","28895209472","77739902778","-79816876800","-49018331700","-33202110464","86374030500","86834280960","-11862454706","22249085184","56074268276","-181099893760","-208859772525","109822935040","-363280154195","-44764980000","-168624911848","78913078272","-254439129978","27569006976","-381977702206","-49717248000","-77079710097","13051691536","50891017950","72144777472","-41733975400","-18736952256","-218544801265","-173070233600","79636543200","44215589632","354609239697","-49928486400","170460332469","-317743061440","-72275752575","19765657600","296506321480","-129796802400","399428490563","-1631966720","108030475875","109869118224","72014365464","113953923072","-315748474575","-386455131328","-150196889325","-73956995840","240702029690","-248939894400","-105092027042","-35162947584","-376926469920","-573094367024","672789757360","-42508876800","219887864076","-42948744800","-1512599175","147107811328","-74271223962","409548258000","-314748226980","-42202792448","-261218803500","575973145760","-34102708617","20132659200","377331477250","-272050317632","593999351550","223044322816","449611981706","-67826662800","76405475232","253786595328","377025873675","637266783024","-223373513848","-67838284800","229975677822","20973004384","-63194979750","128667877376","-669162803100","231618616800","-63234168244","-211049442304","-171995857731","420855533280","341170692850","-43746201600","-673922962624","-848982767360","-479177761200","-424692706304","1094078880230","120683768832","-610035085548","29948379136","571998717675","25123883200","-345053359021","384337632000","-557817382631","377242844304","-504892971594","-272441606144","-279582088348","-242200196400","2098355859880","294823357440","40378113750","1337914032400","-639243038323","-165843763200","-1237593207921","358314407360","385970603850","-712908023552","-44695188288","-145953732000","-914851587074","-152797798400","-871028309844","-65074753328","-1186505862641","347505427200","12615867730","38132160752","-692591098050","-169701539840","-27080848842","-441604741248","505410724000","173708007936","-244088382375","-119447663360","571722245185","25590374400","202586062902","422346193840","360361471725","271826067456","896346435369","-228801300000","-517740072176","-170422566912","328613543700","384730739664","920784701524","-102786697728","-1952351924110","-1137212338352","122118502650","-443039752192","-796478003750","135446294400","163548149432","368744024320","935054711712","954108058320","1732530192601","-155634892800","516932422201","201022840672","407035692000","-512672048896","-1724237167394","901241510400","1495912776952","-849714839552","-848905752000","-1961889344352","-428953677675","514795008000","370310742126","38067014752","524421740700","-145096966144","2041545822155","369905054400","-912174324552","-5163005184","129229720200","386834051072","-1268354378410","582437560320","1631511118436","-161821670400","61179804075","-891626849280","-1541919887058","338178644400","1230268332650","68719476736","-210801958650","474989507472","3283073694436","-811266720000","676997618050","-2929181163440","207260576400","-231515009024","-1488956769169","584912218176","2557154447332","1286914982144","-1489420600500","-1214633649728","315280811612","92651520000","-1513273197527","2106101322496","1520569540116","-215705530880","765784386640","-7649844000","-2279122751460","790591545344","515011491675","-411438072448","1167938799300","1282050028800","-2649208305157","-1294224370288","-1811508428100","-149320368128","5511113197693","-346673418000","2163997344875","-1635593424896","2916330862896","592136105600","-216622019484","-164826316800","-1141699389880","-544055910848","-2686379845425","1952422289664","-2963640679581","497991491712","-1206801499475","1311872450560","-201322241250","-114373010272","-3468590718931","689567865600","-1342844326974","-1248812486464","-879099596235","-826710003712","-3837025258305","-197825589600","335374311607","137823961600","2699874120750","-4339292921600","-1053405419904","-235854102528","-174088654938","-1572948193408","-1275235863900","1317446327808","-3117991354380","1045520263200","-1253790106400","-498188738560","794589354702","-2026589787824","1870892744840","1189624665600","-184430961208","3424904959328","2987188045425","1186151858176","4167931542882","-763221420000","-2850564156755","-2364044281344","98310958050","-245187730944","81663455922","603130675200","-4007688918499","6838302394000","-2713412095812","-833155011840","3963195252989","-989294260800","1455417461066","87348477952","1972760312250","6568694013568","1025768115073","512486751744","-2556447833402","984102111328","-3979606722000","-780975104000","269727232056","-1990747060800","428110606796","1121667562496","1357764832800","3462373642080","64481810050","140383027200","-3794689112269","3914144287344","117768202500","416831155712","-2577386216123","-4502515358880","-298421316513","462323351552","1768325832675","1243838444448","6892693495020","-1277070028800","1769628649698","-784293307200","2837375300826","-531233767424","-2341435283090","1381984488000","7751860683098","1389348495360","6271472026875","-189799275296","3749804681502","355985362944","-2038891437700","897188292416","1679598784500","-2897598300160","2820221539456","-3341756360400","-9948456053371","1757166960640","1709847970380","-5812482467120","-1160739779316","-716239680000","-318976029878","-2697998589568","-305037906225","1262609252352","1667504865670","-4071026079648","1395251552448","441104111616","178744503525","-6111643235296","-3910430841200","-795475968000","4828969401181","-1233275361552","-4968318386700","208827064576","-7470947488688","814256287200","-8812864551890","1154316439552","-559910922000","-667743606400","-4130597222312","-299791236096","12643903858864","-3496716820240","1979747783625","-2769123737600","-1899708181904","1274184691200","4507759485112","707449434112","2680407229500","5673747835152","-15093139497051","-798855782400","-3818143412720","2727365319504","1803425342175","-5083888983040","-1389069721744","-1156412041200","1507702973782","316250521600","-5330682836025","4744101143680","8338926206660","-2076748838400","5592507802650","6390855849008","-1586753338896","-26111467520","1187910562176","1728487614000","-1065443828150","1757905891584","4472381523375","1152229847424","-8337415612734","1823262769152","16780338766660","-5051975593200","942294565650","-6183282101248","-5105489385672","-2403150229200","-5136969422158","-1183311933440","2513910425013","3851232475040","6017021600425","-3983038310400","9725627159551","-1681472432672","-9196356301650","-562607161344","3638342438900","-6030823518720","-11553342751700","-9169509872384","178439131650","10764636117760","-10449474413859","-680142028800","18275170440546","3518205825216","-4333437712296","-687179916800","-11648977580100","-24201586800","1922295646760","2353724981248","1813284614400","-1188339583392","6440678782935","6552772128000","-1274117590128","-5035971631680","-758539080000","-675244679168","12161944241834","-4179500856000","28168221321205","9215570332160","-3961762819146","-545643337872","-3089272061122","322122547200","-5988772922944","6037303636000","2226513316275","-4352805082112","-9648377500911","9503989624800","-4346789477264","3568709165056","-13730536703625","7193791707296","2233513216480","-1085226604800","-3804561418450","1222487603712","6580613514150","4060585525248","-3222300223258","6032413978800","14082912053656","10196268528384","-5693595233100","-3573976221568","-6863501954190","-1085412556800","-5924976936632","3679610845152","9872349949200","335568070144","-8458630963594","-1011119676000","-5114402748179","2058686038016","89617922460","-10706604849600","-2292689873500","3705897868800","-10740315126240","-1011746691904","-1928615964600","-3376791076864","-9959882554889","-2751933723696","9832620652764","6733688532480","-6066676735725","5458731085600","22399793109440","-699939225600","-3519798974450","-10782767401984","4061279091870","-13583724277760","8670492761013","-7666844179200","-12645835496134","-6795083300864","2775637995000","17505262083680","-20474105258794","1930940301312","-10094033441354","-9760561368768","-2550262082100","479174066176","-8823235482054","9151979482800","-3409941550344","401982131200","5602703172300","-5520853744336","15450490653304","6149402112000","-7744847380505","-8925078122096","-536123485650","6035885508864","-1614331096859","-8078287545504","20256553806965","-4359065698304","-5853808530300","-4473313413568","-9711039163104","-3875203142400","25641536660467","33573693758080","2317526782164","4717173719040","-144940938186","646049820000","-9477280596068","21406624518400","-20340435570000","-10227888613168","-4257263245495","-2653500211200","-5468915742608","-19801491326736","-7373194656600","5733030517760","2127635541200","6175529661600","5512716095354","-11406528376832","-12248269883388","-715123012608","203999208735","-2335259712000","14203473112219","-14637625393184","-9499639630425","-2444764774400","-11287826897963","-13936452957504","2254333920967","-1041196053248","16054241996850","-18984093802256","-31344954414576","5560086835200","35229709298700","201853883680","1638262717650","610114572032","2991790746886","-11081457568800","-13589436560331","-2715224637440","-1149317488800","-433293581472","5757388989768","-7065675859968","9471802255792","8086571584000","32054542471875","2779328126976","47799669056132","-3905414118000","17717098647793","-1911162613760","11589582265272","9147555922960","29341936845818","409445990400","5810591896200","3241377006432","30790753188600","6757539101440","-50848222829635","5765783547600","-16601286809248","4349217079296","4612978646850","14341542965904","-5764566507817","-3660820800000","35534529443156","-8283841154816","23321601817272","-2726761070592","-14556673042924","5257816699200","5161360098636","6155691834624","16229876447250","14732555224384","5312222872450","-1644587163648","-13868240377474","-31237630785760","18347551346925","-18195397413632","-21576694162445","1953896042400","-14385946498560","-7088636035072","-50656000161375","-12743648060000","7208139285346","2167140710400","-3473820449710","2616770390912","5830492708350","5899904389120","27175768562511","14960875387392","-71240678466190","15265728933120","-3676374877500","27720483081616","64625107393840","-2490158284800","-21537808448655","8270918755216","-16189948276920","3216365450752","33649223662108","6512571072000","12028146413299","-8202752782336","-889684102950","-27587794678304","-1103211152489","14419864166400","-77143560390435","23934604431232","4205570120700","-13595437432832","-40294484150502","-13582492032000","-120166299500","-31390229509632","39148675762086","-6863258842800","50427024054741","8236720128000","-78821935225281","5924971874016","-27246011564625","609072236032","22670848490400","8390747851200","-23702254225098","-2321551458304","-12646868388600","32664733154480","-2594098479746","5918480870400","-38009430118718","-14594789192832","-45801486793575","-82608082944"],"derived":{"al":[[2,-1],[13,-1]],"fricke":1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"26.10.a.d","letter":"d","dim":3,"charpoly":["4069822848","-5347316","-248","1"],"traces":["3","-48","0","768","248","0","-2956","-12288","-20863","-3968","-31324","0","85683","47296","392140","196608","905228","333808","1726316","63488","1771246","501184","2135256","0","4074295","-1370928","3038724","-756736","372426","-6274240","-1444776","-3145728","-7719476","-14483648","-3459436","-5340928","-2809672","-27621056","0","-1015808","-7424806","-28339936","36070040","-8018944","32156162","-34164096","7032884","0","41844597","-65188720","-47158124","21934848","-15011674","-48619584","121479136","12107776","-14804300","-5958816","-40286396","100387840","230710478","23116416","151778040","50331648","7083128","123511616","201453084","231738368","268135008","55350976","-99165572","85454848","-350942946","44954752","-28166788","441936896","-1066624588","0","138794592","16252928","-363498349","118796896","-1364469516","453438976","-1225485962","-577120640","-93372576","128303104","-709437058","-514498592","-84426316","546625536","-1382471232","-112526144","-833387824","0","-362189698","-669513552","-304026580","1043019520","1226845582","754529984","1485648632","-350957568","2934968446","240186784","1706840292","777913344","1285862096","-1943666176","4487894932","-193724416","569355462","236868800","11341965456","95341056","-595868143","644582336","-111942820","-1606205440","1838273335","-3691367648","-3834733448","-369862656","-9214213446","-2428448640","7223120752","-805306368","-5816735186","-113330048","6730489216","-1976185856","608921868","-3223249344","-7698653036","-3707813888","-7986129766","-4290160128","5278019728","-885615616","9689279470","1586649152","-894644764","-1367277568","-7927303584","5615087136","-4048971180","-719276032","-15421221366","450668608","4877265604","-7070990336","-10418883154","17065993408","5942914024","0","7094193018","-2220713472","2420570248","-260046848","-20255365824","5815973584","1027104228","-1900750336","-26813901796","21831512256","23774638608","-7255023616","2447192163","19607775392","-13558033836","9233930240","-1959815938","1493961216","26596757832","-2052849664","-37483905004","11350992928","38496517848","8231977472","10017748062","1350821056","14217229432","-8746008576","34957364198","22119539712","-28109080640","1800418304","-38902626206","13334205184","-12536108936","0","33212510954","5795035168","11199910540","10712216832","-61226990388","4864425280","32614520048","-16688312320","12934619196","-19629529312","20753717112","-12072479744","30571388524","-23770378112","10311672696","5615321088","-43500092728","-46959495136","115863097120","-3842988544","-80516423014","-27309444672","-57703971460","-12446613504","-136371864800","-20573793536","-717924336","31098658816","25854216908","-71806318912","-78416889396","3099590656","-34565157117","-9109687392","2489189348","-3789900800","39281243108","-181471447296","25713442360","-1525456896","125980947564","9533890288","45191115484","-10313317376","58382151744","1791085120","-30464552100","25699287040","106464235166","-29412373360","-142547555748","59061882368","162376814322","61355735168","49305311276","5917802496","-68069338296","147427415136","27690511732","38855178240","214093835424","-115569932032","133714467476","12884901888","38599082052","93067762976","250565373996","1813280768","-13201743330","-107687827456","168973754264","31618973696","-125202843884","-9742749888","-111626518640","51571989504","-324322224770","123178448576","43338916356","59325022208","50588557006","127778076256","-340066167932","68642562048","-233529037666","-84448315648","-90756596192","14169849856","74284063966","-155028471520","-49876941756","-25386386432","273023659300","14314316224","-427156491616","21876441088","88753636003","126836857344","-258084506624","-89841394176","15008374976","64783538880","-642683402416","11508416512","124768606756","246739541856","60985046616","-7210697728","-301884889926","-78036249664","-321736097176","113135845376","226165178468","166702130464","-489057273748","-273055894528","182167633912","-95086624384","449993902608","0","12284308864","-113507088288","253509025760","35531415552","-358080905742","-38729123968","-226804451592","4160749568","86734911648","324085853184","653431703216","-93055577344","116365939495","-16433667648","-427408615004","30412005376","642110008202","429022428736","1973595900","-349304196096","371718811650","-380394217728","157925780944","116080377856","-290819158376","-39155074608","476762832000","-313724406272","994422781120","216928541376","-838837331732","-147742883840","-90951820992","31357055008","508075085664","-23903379456","493725772816","-425548125312","86788996164","32845594624","565233947714","599742480064","-511574822452","-181615886848","165530637718","-615944285568","68981200080","-131711639552","146434894815","-160283968992","-310974222640","-21613136896","809045929264","-227475670912","-514246032568","139936137216","-221446742206","-559317827168","668229716576","-353912635392","119636230558","449745290240","396853349196","-28806692864","10636858986","622442019296","56211766492","-213347282944","81677889416","200577742976","913450358844","0","-869159108108","-531400175264","-714153863364","-92720562688","175407143914","-179198568640","-853035291216","-171395469312","-670672262938","979631846208","-692064338288","-77830804480","-797581283990","-521832320768","727121921112","267012997120","542417705850","-206953907136","-41264247336","314072468992","-986590163584","-332059473792","-1254370986736","193159675904","-297233053158","-489142216384","-509016881768","380326049792","-773809388852","-164986763136","-2181961488696","-89845137408","-664207344754","696001483648","389584984624","751351922176","-1461974906368","-1853809553920","697183247216","61487816704","2481039744262","1288262768224","209977258896","436951114752","-220475954036","923263543360","1163015074252","199145816064","-1889595491864","2181949836800","482422504584","329180696576","-52912510368","11486789376","678458922416","-497578541056","-522070725507","-413667470528","1381540184048","1148901102592","-1415474762528","1254670230336","-557477364144","-49593450496","1789900231902","553042513872","3290428751416","145754998272","1593052629914","-39827029568","-98804951596","60638412800","1242698551606","-628499889728","1872949330876","2903543156736","-85338772656","-411415077760","163484750024","24407310336","-3047345358112","-2015695161024","222077382764","-152542244608","370764401188","-723057847744","-3213909267552","165013078016","766356180356","-934114427904","3584262311580","-28657361920","229372593086","487432833600","-402620330188","-411188592640","-80247041992","-1703427762656","4529413008768","470597973760","-5037195933688","2280760891968","163174971392","-944990117888","140438025888","-2598029029152","-3762214222392","-981691762688","1198035632760","-788884980416","-3040360562360","-94684839936","-4813247055410","1089109412736","2163737049268","-2358838642176","1073204215464","-443048187712","2954086301584","-621682851840","-5421659068948","-3425501366784","0","1849118912512","2806319419674","-2139431479616","-2761794837704","-206158430208","2048726860828","-617585312832","4165838959712","-1489084207616","-3928417093292","-4009045983936","-722100294584","-29012492288","-6075114410672","211227893280","2724859108676","1723005239296","-388493997336","-2703580068224","-1537322586488","-505903579136","10020502607547","2003245502144","-2818335248420","155883998208","-212059884166","1786024298240","6052620302592","-825151832064","-601125051378","5189155596320","7307878307004","-1970855177216","1897362409236","-693422661696","-2410161604824","-949200355328","-4158514997914","-809416912096","673039265232","-2044449220096","-445304602650","5441058686912","1230399828072","-1098280992768","7309739492800","3736464602656","4801980451012","1351173050368","-3660086521020","1452105539072","1030196412440","-226717597696","1125878730572","-1188545023456","1283820718456","2480455544320","6656570378592","798031068096","-3090791218068","406182182912","-5775951624984","-4368378548800","5218773701480","-229029059584","-5134167428836","6834503865856","-9841591475544","-350023057408","-2614764211538","-1420058176048","4705131183208","-2029389717504","3169434851976","4129352105984","-5473615134776","1437462306816","918412142882","-240133999616","-3584977646756","-1036536622080","-3131703606272","10282934438656","716957539404","-184134664192","5241328836006","-1996297708096","-3416467496300","-3947832669696","-6046918054364","-975760745856","-4695521022000","115371163648","519101288388","4830158238816","-367836638300","1248579994624","-1128404929760","5147777554816","1640468472","-1810173526016","-2181915364140","-3618642855488","200866199924","-2667234087424","8388330858386","7824916379968","-9975872752768","4368894312448","-1945235508726","-2914682142592","2934910947948","1521385990144","-3273083132736","-7199902441728","-3713232113224","0","-758935920413","-196548941824","-1744084509872","1816113412608","-4879372149610","-4056144412160","-6061142829596","-568502648832","2869156234502","5729294491872","5048978729232","619665983488","1195123534917","3628871225472","-5570589397064","-66571993088","2000917578974","-1387758586368","-1623633639780","-5185373650944","-855609694706","-10454907251456","-9857337674304","1488889237504","-790970935768","-1861855031920","2048072827064","262938682368","1884842165486","6838537840064","-10594454438884","-486592086016","2767730264842","-10273760131232","6212748207228","-6864358859776","9584456533706","-31577534400","-1346883179564","5588867137536","-1864278423412","-5947500986400","-10393103545776","6086307483648","11846043850818","-2526812495104","-3172503625336","-1857286045696","12947819000300","4653106534016","4697911292984","626481193728","6816349792454","-7628205312000","-3043634586168","5019590500352","5057976773344","-15910764497920","14597051461580","-3470856662016","-5468402119796","13421397307712","13640210573716","2363886141440","-428748421114","1455229135872","12756531340676","-501712880128","8988840422888","-8129201370624","-3448594539852","382454071296","-7287498460124","-7899612365056","2232516085500","6808770004992","18878970894382","-1388623938624","-1831052489184","-525529513984","14429036045630","-9043743163424","-8063016696800","-9595879681024","8702533518586","8185197159232","3088340043664","2905854189568","18216508858752","-2648490203488","3469565603296","9855108569088","-2301581410290","-1103699201280","-14244965877288","2107386232832","-913370277432","-2342958317040","3705744066928","2564543503872","11011786724178","4975587562240","-8212195039968","345810190336","11132884144199","-12944734868224","18199346778164","3639610734592","-12297738701020","8227936521088","-13476627815400","-2238978195456","-4426529102408","3543147875296","14653268042996","8949085234688","-422825612300","-10691675465216","-37130118139572","5662602166272","1194786636024","-1914179688928","3449433885972","-7195924643840","-15916170868656","-6349653587136","2352358201296","460907085824","8287269810440","-170189743776","-4178611112316","-9959072308736","-8976394670474","-899388263872","-35855962915968","3413556527104","-20856216537026","-1306846230656","-21544349800836","-3209243887616","20516307993856","-14615205741504","-1150619756156","0","-36006276423198","13906545729728","13949248819380","8502402804224","-27461244302880","11426461813824","-31152610204144","1483529003008","5957920729950","-2806514302624","-12664914733432","2867177098240","28486356794300","13648564659456","2270175508056","2742327508992","-36226715912432","10730756207008","-24923100321772","-15674109539328","-23688346918040","11073029412608","15322487980776","1245292871680","6589321962158","12761300543840","11533457468288","8349317132288","-18918513520982","-11633950737792","-2233778344796","-4272207953920","-4044919236742","-8678683293600","33015198220744","3311262514176","5241133915776","660227957376","9519283685624","-5025159503872","35174466796064","15785442617344","-3362443978196","5312951580672","13873022842734","20069935787776","-16733603108792","-3090554814464","23144530379580","4755728850528","4334932600440","7826275462144","-13919073052584","8144270108288","31714838584992","-6085216796672","15131013851936","12380950221632","45147186346804","2639788210176","-22766467728550","34911383819136","16292914162024","1437522198528","-10169617638258","10627317516064","41895613337928","-11136023738368","26563414117728","-6233359753984","-39575479310896","-12021630754816","-34924170395499","23391598501888","15295247612912","29660952862720","202301218808","-11154931955456","-23192448783660","-983805067264","13400255454768","-39696635908192","13939859428752","-20612204291584","-72328272268","-3359636142336","29440732040024","-6991217836032","14658361720614","3527615264576","1569946960820","-14772216693760","8124406403152","-18608241188032","34714657421932","-3186333057024","-5818265273468","30233527869824","-31911426142804","-34911197388800","-58266792501440","-7718760073344","5753701532124","-5266891145216","-19090112842158","846600165888","13359684566028","-183788630016","17474579300588","-10855342758656","-10265903247596","7961256656896","-5544163863844","8353131608112","15601383516008","6618679528448","-22563938646044","-22104642944768","33402626470728","-18382417641472","-16467123501928","22647596200448","16827891103988","-20074723685376","7975374578348","8919637826304","-36811613207772","793495207936","7658203963488","-28638403710432","-20889003968880","-8848680221952","13112789188444","-52646860022656","6743596834788","-2332079972352","22645169052172","-25488842078624","61635942669416","637232473088","-35143341815906","1580879225536","-11025355818200","-970214604800","-19324942921536","-19883176825696","39370125772432","10055998235648","-22236820125950","-29967189294016","-57597560154552","-46456690507776","-16500305464652","1365420362496","-2832267901892","6582641244160","9123976640754","-2615756000384","5152054836936","-390516965376","-39270173374310","48757525729792","-2420893169916","32251122576384","2462405253684","-3553238124224","88614414727400","2440675913728","8197595783814","-5932230419008","-68854809684604","11568925563904","-8080536106756","51422548280832","68632178565744","-2640209248256","-63004705705646","-12261698885696","59578664465228","14945830846464","-10023281480706","-57348196985280","-3541369722192","458517790720","-28476650839560","-3669961489376","-56293532895256","-7798925337600","21176858863560","6441925283008","-17265175810816","6579017482240","41155982967363","1283952671872","-2685647726100","27254844202496","33579495598004","-72470608140288","79669309120940","-7529567580160","-38633754583628","80595134939008","32091856750832","-36492174271488","-46685929774150","-2610799542272","-804471632068","15119841886208","25708884125622","-2247008414208","22701053002504","41568464466432","-42897655765302","60195427558272","51173384689860","15707068203008","12831614766522","-19168570124160","10859736314428","12622159686656","-16532313340128","48645768997760","-34105705131272","1514957438976","21416089320768","77011952886560","-66861614401912","-17425750603776","2929878977498","-34619792788288","-93829033202612","37741418274816"],"derived":{"al":[[2,1],[13,-1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"26.10.a.e","letter":"e","dim":3,"charpoly":["-2206425872","-4420020","1116","1"],"traces":["3","48","156","768","-1272","2496","17058","12288","42273","-20352","73974","39936","-85683","272928","393756","196608","374976","676368","418338","-325632","-284694","1183584","1026168","638976","3337287","-1370928","4218588","4366848","-3075834","6300096","9286482","3145728","-25456452","5999616","-31802592","10821888","-17647776","6693408","-4455516","-5210112","-47257110","-4555104","-60023760","18937344","-81112122","16418688","-40824726","10223616","45921177","53396592","-27559188","-21934848","8072046","67497408","-36910236","69869568","245224476","-49213344","138035310","100801536","264203886","148583712","436094838","50331648","36329592","-407303232","203167074","95993856","-397637544","-508841472","123067110","173150208","-433013250","-282364416","-884469216","107094528","380043264","-71288256","406418748","-83361792","100121427","-756113760","105365610","-72881664","5268186","-960380160","-12753768","302997504","1365375798","-1297793952","-487193538","262699008","-95909856","-653195616","-85600692","163577856","669691662","734738832","-2480087466","854345472","297074982","-440947008","-3226726824","-350957568","3207300126","129152736","1206939048","1079958528","1296933672","-590563776","-1518316812","1117913088","3096496626","3923591616","180530688","-787413504","-1207359153","2208564960","1557653976","1612824576","6988530219","4227262176","-6734862000","2377339392","-2552696082","6977517408","1892652888","805306368","-8783026530","581273472","-4114711668","-6516851712","2542540968","3250673184","-12047559732","1535901696","-6009163974","-6362200704","7143546036","-8141463552","3522346698","1969073760","-2112771414","2770403328","14987118576","-6928212000","-15465108816","-4517830656","-10417611474","-14151507456","-1503724662","1713512448","-2766660894","6080692224","-35092942788","-1140612096","25739407950","6502699968","-30324522528","-1333788672","3148659528","1601942832","16980747558","-12097820160","54129752628","1685849760","7215092190","-1166106624","2447192163","84290976","32073636258","-15366082560","3783058350","-204060288","27575155122","4847960064","42324670860","21846012768","-15433013232","-20764703232","22524347610","-7795096608","5682326592","4203184128","-25217845146","-1534557696","32668563708","-10451129856","55543761558","-1369611072","-31353747540","2617245696","-15353018958","10715066592","-11246065116","11755821312","6914322252","-39681399456","29120821800","13669527552","-108465632772","4753199712","-57447485724","-7055152128","-9955300860","-51627629184","-49443590232","-5615321088","-81939312396","51316802016","-70107594636","2066443776","72557997150","19311024768","-17621540220","17279336448","143313118572","20750938752","-122953785960","-9449020416","-10709689536","-24293068992","69367654782","17886609408","-32852910573","49543946016","-40316137902","62777465856","34070086620","2888491008","-271623119352","-12598616064","4141039692","-19317746448","-13408705416","35337039360","-58655489304","24922463616","158778887382","25805193216","68024524734","111816483504","145336336560","67636194816","-259496748018","-107757792000","-11948151618","38037430272","235954847520","-40843137312","-74988973980","111640278528","228917324544","30282446208","126296340012","12884901888","-136716921180","-140528424480","-5333240376","9300375552","-214410099294","-65835386688","-37795720284","-104269627392","76253158116","40680655488","140240262456","52010770944","276983257698","-192760955712","-128003315046","24574427136","8131145334","-96146623584","449688213906","-101795211264","-181100782314","114296736576","490443326082","-130263416832","107710403502","56357547168","-29898564468","31505180160","-282209688684","-33804342624","-188794602180","44326453248","-260534212989","239793897216","207015868824","-110851392000","40405867536","-247441741056","281375410260","-72285290496","-419899446396","-166681783584","-29308384248","-226424119296","-225604415850","-24059594592","110359115184","27416199168","-341489891604","-44266574304","-68547726138","97291075584","34658760432","-561487084608","-143998526376","-18249793536","-455607092388","411830527200","-506416545252","104043199488","45190577646","-485192360448","159882414828","-21340618752","480718606416","50378552448","-123263717004","25631085312","-95316254007","271691960928","689520890244","-193565122560","-130822795986","866076042048","443205814218","26973596160","129589743294","115441475040","-347181523716","-18657705984","-290106295716","39155074608","1070577692952","1348655616","-204983333844","513178180128","244059461736","-245857320960","841609867656","60528933600","-16706964852","-3264964608","-56269829184","441202481952","-120487091868","77567361024","131320945002","677194733760","-280378449840","349536204288","-482055008958","-246928211712","775370672982","-332235251712","-214006414989","360389561760","-178738738212","-124721545728","-302769561480","90917225472","-1273176840540","67250946048","-776676980430","-403485522336","-248122708524","-24552923136","713676877458","522697019328","1159278788916","-167218077696","87848894874","888700184928","-699504885222","-21913777152","-1024802222784","-501659960640","130511154726","41875931136","-1802596150596","-245648303328","-945794227500","171441065472","52710988590","-179937041856","532253945376","188093140992","257577979974","110629156032","-2789247217992","-634902391296","-79378052106","465933148800","1972056793176","218712440832","178669519722","-1735450124352","-265231212402","76051195392","724845460752","-919159771584","-893550099708","-112882434048","775249433562","-159284813760","-314875156608","-826042066944","-146617906080","-791097443712","1352409779700","-89845137408","367986999342","-1311028998336","1103068782468","821068832256","-185250962040","-1121721514176","542742716934","33063100416","1050460145154","1160927954400","2161528890276","308976396288","727061725572","-281944643520","-555482008746","276469383168","1235048931336","2293009897152","-173805425448","332015020032","-1387697376672","-1967260575360","1583233763784","-151184326656","1772314410177","-171355032576","-1386390162852","-388689103872","957027014568","1109882476512","-2149661818008","286185750528","189888076182","-525646569168","-13944470580","792703136256","3461625471006","-645058206432","908313830112","1004439453696","-1339556004330","545121385920","-687498509844","46215856128","2878199818272","-4345969909632","105977350398","-201577857024","1066286929344","66256635072","-3475563420180","-309083943168","1691909961384","-214539286656","3810224158440","565392629760","-29563274580","-938487828864","-2324089539018","398759417856","-4763775877794","2540462198112","814215016746","412883091456","504038130336","1088392395744","-4257045531984","1789063736064","-998530239768","2325381384960","-911486629398","1082179117056","302832150216","-4151947968288","-1439707366680","-1724124672000","345314640672","-191170425888","-1633126561236","608598884352","1499355499530","3775277560320","-2824015418286","-653490196992","-511375411080","-1199823583680","-3414747516972","1786244456448","2677968490452","3662677192704","127253992476","484519139328","-249598856778","2020741440192","-1226587764540","206158430208","4477073464548","-2187470738880","267200656656","-2248454791680","-4056192604608","-85331846016","1389222703680","148806008832","-3744662727348","-3430561588704","-411673751568","-1053366187008","-9444658153656","-604731524544","-303289671276","-1668314038272","-1606940338341","1220050529856","1563263273070","650890487808","1349710318710","2243844199296","-1283904703032","832172335104","-9565876871154","4431732123168","3437994930966","-3084175291392","8577471314076","-2048053040736","-360513020160","393190834176","5749644885702","130098325344","-8157056541684","-1538345977344","5905446729606","7195011422496","-2126237551164","-1628723380224","9852852161328","-2897612517024","-2486924545932","1828747785216","-1643701484196","7847093217312","1714338609360","-2084214669312","-735514919604","1723366456032","-4764811289952","901720754688","5215699510536","-478377031488","-1254263632038","504082882560","4818539938008","-4515355018944","8673984342144","-540869481984","3159485163300","-3020713634880","6971447103672","709223251968","-4569373053666","-4168547407824","4943822604144","3836702355456","-3062569808340","3312253901184","14900006347668","-1773622272000","2316643316442","646493880576","-10269105887334","-3959067856896","4385273845572","4502006564160","3134372009724","-1156564647936","3656829519294","-6718391142336","-4975615905444","-2666908537344","5758999529820","-468934147968","5764049687964","-3622785908736","570928856880","-3609670653600","-8148420915246","-384953513472","-8959058664216","1765745842944","3528022757868","438659186688","-77863265868","-5463838265664","1165994999286","-708265188864","4506651027438","-1096763618208","-686531273040","1556657209344","-4618251569742","554540166912","-5242819776738","-8983793353728","-8132203633752","-2303976422016","3380445972468","-291996696576","-1840671015213","-7289713478208","-9454671358992","6589288435200","-3748037254902","-8102664724032","1564896818010","1664691191808","-13759331251962","723049242336","-8121155698992","-7763077767168","-1311554736297","2558118637248","13014461728530","-341449900032","-6238461205086","7691497702656","-6425313234438","806056839168","-688957641030","-1972219472064","8318047134936","410097364992","-4022144376420","-1525060064112","-2245338395016","4347071374848","-6038290032318","11032334243904","4287859619052","-3097041960960","-11714317427790","-2093164735776","16606700284104","13857216672768","-2651365795890","7091293027488","787117968468","431577538560","3513266369388","2073435892704","3997646365296","1847063600640","19314744190614","-5554904379456","4918300652388","-298523295744","-17159526701664","-4641700731456","-6844544247168","626481193728","1509728690142","17129243087232","6243830409732","21578489856","-923773270464","-3279733341504","4705683079278","8210850882048","8420017467996","3904951387776","16219945229940","-3933717135360","-230545705806","13465757882496","-3643515503214","968462937600","-7743049547796","-267311437632","5163389203236","-52239433728","-4298750651700","-900317266944","3348355088244","7059239711232","-5408839923606","-1927793469888","804510523404","1241077776384","-14970494680482","2101135120032","-6373440123468","10835115740160","-470413044426","-4486055197440","32101996491468","5592579268608","-6607947024048","-7712880143328","1054193250396","-3950851387392","-11722627941606","12405930767712","17318029609104","-5315764027392","-14716146476544","-3424102639824","-35487398060712","5766232988160","-1850898150546","-2859819811392","-30139200457512","-1995544731648","-134206952841","-4844312983680","-5583417975180","1454675607552","-2268873253524","-20370829448640","25239456969984","1076015136768","49531051689492","-12426831686880","-1566662977674","-6455768357376","-7003856259036","-3969963336384","9931670674014","-392846770176","-18322962211944","11418830039328","10479919607010","8363152309248","9945051541008","18548460622656","-9766841640768","-2675489243136","-6142169927160","1405582317984","9750210068448","14219202958848","-15442550296866","-11192078163552","8456789262048","-350620434432","11395615742478","-16396835564544","-9946140254808","-8026559370240","-9123202566504","2088178475616","-3942426488910","670014898176","-3631458172950","-28841538409536","-36486649870740","-3930372853248","6973919953728","-15132707640000","9820572485478","2743057047552","305292848958","843375817440","-15438849031260","-2878992669696","-29835396877920","8516063126016","-31140411482664","3009490255872","16347683975880","4121247679584","131805875526","1770066496512","19577858498712","-44627955487872","170489913036","-10158438260736","-7545927188046","-1270048833696","50501033641152","7454930380800","20279525335614","31552908690816","-11587726838592","3499399053312","6511700512458","2858712315552","21097943328300","-27767201989632","-23982207775512","-4243699398432","32209964528256","1216819126272","49384145435148","11597527372032","5684871320106","-14706556345344","22067949655578","-14296801595328","15185030701548","-1806118944768","-19549127670660","12403990936992","-12455304668118","-2548557020160","12460244493480","-5038002505728","19955814535152","-13216673071104","-21248297667408","-2345886497280","4995276350670","-12657559099392","-5829792078534","21638556475200","7485849551952","-1437522198528","5323879396314","5887791989472","-41052010458780","-20976463973376","69659563565952","17649100519488","-17262521550642","13137101316096","-13856129117355","-2964015392640","-36907847237256","-17947544226816","-1037609477112","8683883470944","56319453198834","529009606656","25348060871184","16807362322464","-16354561903776","18574847270400","-32601721306668","34584462244416","-13987373473692","4943622340608","41723367295638","11632987609152","-14573721394560","-4511114296320","-30509896807440","-8887712139936","-1979668977018","4423510130688","62413981827060","19760782901376","-19736276841888","36688158354432","-13282848462216","-2780886807168","-5802654800514","5312240320512","40463873524242","-22203158026752","-22580488709532","-31476169205760","11364459958188","25331740220544","35048767107252","-2418949226496","-11860132353732","28357030562832","-15098941579056","-2741680521216","-24105512979420","-22182242605632","-15947478050604","-6219025661952","30106758322128","15312432233088","-74954118974634","17758119624192","17109765630504","-34394589088128","-44689455737892","4578972008448","11356925894184","3038209218912","-67833537603996","-8410345106688","30888932308812","-223111529280","-40203774999060","12683250180096","8831395132020","55386007536096","8193522054528","-10320931302912","-22916770970058","14533021281792","-47058377741532","16071031259136","-64201328159220","-21432896069280","39327441516672","8721942174720","-29960966722458","-10999976157504","3816178226532","739453698048","-62069665332756","46051197092352","-3514919728710","-69535518554112","-20253728524194","1695637606368","-5383602391464","-3225245712384","-8952601382478","17060590869504","-12356930660958","1060106161152","-61391827878012","-55609014722880","-14170396522032","-4945343090688","-13235734540746","27070559382144","-22672264692036","-3432628586496","-33457202510460","60963586535040","580007972880","9046282076160","-58057011671742","-473012393280","-18254729471634","-15015805261824","12367291433250","-37185432624288","-11584822387608","6380150685696","-4420777912536","-76220414044704","67935306683760","40647395169792","111470225929656","13027440267936","-51443738823204","6606129463296","78388963826535","8064610085376","79016038983648","17414278331904","90088473953172","-68112728511744","55046486198814","28625019777024","-2759552801748","-15976483836288","30363769492020","37206102159360","16516591575726","-14583786070368","25261325278176","17314865872896","26500575828870","4845314403456","37893564738684","-66431167492608","7599252915702","-23035317866880","15710370817362","-27585994752000","119291482747242","5525034250752","58804527739548","-3058726814208","132023377320","-26130024979776","130661267423940","9737582149632","-22428320123784","23989687992480","-110602381936200","60404440965120","-24881633667390","-45184246692576","34717390683444","-10455843151872"],"derived":{"al":[[2,-1],[13,1]],"fricke":-1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}}],"seconds":0.315,"computed":"atlas","estimate":{"seconds":0.468,"low":0.286,"high":0.811,"bytes":1905913},"url":"https://sagebrush.space/atlas/mf/26.10.a"}