{"label":"21.12.a.d","letter":"d","dim":3,"charpoly":["60897667320","-37748730","-3069","1"],"traces":["3","-33","-729","765","3102","8019","50421","20661","177147","258234","-323232","-185895","-1701414","-554631","-753786","-8286783","-13285206","-1948617","3457092","-20182458","-12252303","-57420132","-18776676","-5020623","-62091531","-221154078","-43046721","12857355","-64656294","-62750862","-30699048","-39999195","78545376","210925614","52135314","45172485","1046484186","876223212","413443602","366753702","-158666502","134775333","746774892","174985212","183169998","3035668920","-3828844824","2013688269","847425747","-1319802567","3228305058","4687306086","-3245231286","473513931","-2699090592","347249427","-840073356","4996476234","-12392434452","4904337294","-17915258046","-15135654000","2977309629","500708649","-25600281468","13953092076","-11801453124","-33778572174","4562732268","4340138838","-26571896460","1220011389","15228295590","-12040164174","15088242033","48735421908","-5432560224","53740440954","8453153688","28762751598","10460353203","72649157094","-31295925492","-3124337265","95344884804","-7069095156","15711479442","61596553164","-16030004742","15248459466","-28595665098","89003766768","7459868664","92483312640","-143953046808","9719804385","-87243902370","-9321683217","-19086526368","-61926204981","-26046868794","-51254924202","-253307185824","103769245686","-12668881302","306889913874","-391968062784","-10976913855","-346264971438","60295693896","-254295657198","-139275961881","466717733718","-212922240516","-283830066120","285188684430","-100466795286","-456556412364","-223284457242","-89121149586","-251237489049","701983682466","38555959986","-644806858176","-100328959572","-32750405919","494912349576","694933011741","-181466298756","777918722124","-338110800708","-42521406516","58103345244","1942392702804","-44510309514","834563678802","2240626490454","-737667547560","-1015883016300","-339206571606","930409292232","-603647674920","2348626784064","-489326249367","-1032136772796","-1231282920954","-205924456521","970759831734","-250653234774","320712023781","1288239347256","-2639670452844","-784478129094","-965060158524","1853201734320","-1139015378898","1782845393970","892514339952","788591202498","-2956470474330","-315579593532","-115063885233","447717988860","-1317273223926","655879013856","-5797226114388","-4390304395296","-84381610761","6907876582125","-5472154040652","204137825508","1882465846212","-2770293297714","-1214143724862","-1043572361517","1937661208572","3011361571836","4308350686278","-7625127474000","-1191753962442","-3540227190366","-3716936588946","4353407705178","-6579787823520","-1421291703804","3677963922000","1386543203232","-912792040368","-723486239847","6248048898504","-687584670900","-121672201707","8961361810710","-1052227177842","6220868396724","216093565485","9903786679386","-3390601374468","4343942161608","3468772114899","2867753109132","7356030335418","-1086678333258","8208193038282","6044677003044","11966364838392","-1108743941124","-2967277986","-9879624490944","-1054653737634","10187283347748","-6108625574154","6456970839780","-11109176778036","-5187732958536","-296462767527","-515958899736","7864908873306","-3700475828370","-4277863584312","-15301548613908","2925759894282","-9180704766432","-672266470365","-3666442814019","-5325966367506","-10096191230028","-11842707523644","-19309052830782","9163204844400","1320112134432","-15482911998978","-3803747707818","-13058927151822","-2982906306480","12582649423788","-2054116346184","3545026794498","-22926449530092","-6989348638314","-5890084371138","26914197722115","-2541865828329","-114488604810","876238222398","-17653745173842","833915938296","39160254911520","7604909894556","-22729693475004","-18967553525844","759213955395","-26385880919712","61795775412240","-23168807007372","23515241639265","20214124437858","1717790122908","17588259714102","-6726392475468","-3817889504406","3669735201468","-41830358618292","-14967962418852","21798265315044","14726683524084","3895291152306","7330568113260","2920954488246","-3705375650238","11622073774344","100188761338026","6948746618814","-47026114648026","26423426552736","-21627915324624","29190883822026","111726239414676","-1812748085352","6164029469514","-53746109601306","-22473444971520","-79182830910468","-332341433280","34980590374344","40868865805128","-2666707899114","-2361912465555","122168287482777","33205746681468","21200268275910","18935986953282","-15548440117818","2265169021731","-82656532525704","-15394571413242","4638025907424","-37543645944462","-17721206172600","15048067810383","12551045609844","-150131306899704","6329389116942","-136140167057532","-22244037545004","12454946581086","51260031174276","2940976458084","61553646155232","-79035356473440","-148448182672128","-25215926701698","136825721216238","-66606471883182","3078538156386","-101641762827360","62931436684194","-74574249071382","-39035727540864","51869933029086","95248239256512","51020487538440","-299848045262472","2667390066765","69143133377334","-220179319684284","84142388059434","-43049835552438","-64351394956968","-14651853616728","-70719574858260","84942642509220","61793844699114","92441157443352","-5567194502376","33844058737083","233671480473894","25083236022993","-113412409293474","43378277911644","160993170826944","51740104445388","14242684529829","-52052701913628","68970706067160","-111102346705710","-99071091550056","-69300850316490","243271372839570","-22181921743569","24413431254498","150468546889260","216733090597770","110943208204452","-71640078301080","-85702928279958","54258123109806","-18718228754412","11055068581140","21656439349398","302976329549487","30196902923178","61050709838907","78779553387402","-62884458522564","-170582034839238","-72849976555632","-223412168673984","-9369098276598","189509655918252","-54542602223802","156688066536768","-22719862147254","507598261787736","24379937175996","-88200945381840","102526544933772","7958348638317","3769245219708","164240867537112","-120263700946968","-110987965351056","-324700199855328","-168868721853063","-45363615579744","119985376372638","44096310597708","-101007527107974","221360280702690","-189034249476132","-497920931978136","5836221119589","82160924572044","-526272453937278","399523736473392","10332701783388","-275715088235454","-411114198064008","-14119112894292","322835787422631","304821312183150","-472001426781372","88024855617360","-343939876390122","10816005211902","83975776064838","-120871865243712","-202798973948886","-507082058059386","-253574618172732","-544472237180322","-217441682730504","-208279645834764","179253214057080","-507615522561288","1058546782992150","246859572960900","-691384073317392","-538511127704364","82427196900258","261137583903642","816819554575428","-226089458012376","-169708035688698","574336234674918","146686385005560","-301101741979122","227963151113580","-570716308527552","301232121730248","-94123017948852","118906278596181","422805711829014","-254384936778000","250809235789428","-421338409155954","1453884697970832","299201749791822","-286688210098488","63569656946088","50039642934603","2621728324955364","195209112906984","-235894639111362","370750293699108","100168588940064","60908736050082","8415410263743","171271214537958","-77933021778783","-627366643414560","-10185992787126","-313042161383208","-118171335469092","-430263930632676","641439920041092","-89586417021618","1021021347694650","190628185369842","611252602568160","-1396193659249218","234509618521332","41683753824504","-580728426022266","-450328021439760","398952565498086","491435106505668","276780737072214","-198347022655068","-363529917086400","-433231430734710","98291141954988","-122753505061632","-216880984608336","-917468761238436","-567716462528418","-191627662207014","230927138322192","351041844993816","718422325262190","-96287729879412","-800029498750626","76685841228276","255837737355657","140503892638188","27960524111619","2146489058127288","-869191345597722","-108795471292980","72944713450266","-463312048642680","320097393414018","-1474108273120212","-3361497064490328","-159378600367008","1856364749033568","-446593863803220","1408725945796284","-1940544723664812","1095528568426428","1066843968056928","272129260528260","-1464572716749720","20504731414923","1335164008773468","-1097015887183680","-1678614009456375","-1680862665071328","-529349404749978","1329733431878436","255941963981130","-1821688845222027","-49605491598444","-989768769596274","497835732329472","-457439200629516","-63320814570048","-202359039272418","673181271344502","-758394887740428","2058090260543154","295036925141466","1174951485425940","-2098416969564780","253588083848631","-1528983077273736","3997907991053712","-470851673682996","723180513595707","-1252876477927572","-731760861956148","819096236007756","-3094381681122228","-1046929216765554","-1933336994069856","-2572210571510868","1852905976182000","1456098564406098","-91305039684768","289596212873406","3139007629614258","3364735818898032","860275207258938","-3356698416683310","917134089096756","903215591113878","1821711797045244","1336594036325826","-1057878072358254","2040570784864452","3721934876772984","1598888441115360","142072154034216","-4150465754310318","345373884024372","-439300798282788","2762776653418098","-893745233046000","692807020591272","483415566107586","-336929998385376","-312791524390314","1331483835169284","221808465809424","935171719954524","2875430531441940","175807156282821","666947211339600","3282974049649494","-1518275882336472","911842267703268","2276082738065544","167083075028700","1221014383278858","-1651589899203900","29566345014801","1418331238667574","-5168956285065363","-2177610920002530","1449602317050084","-525990619744044","255691204215606","-2107878307094208","869769009644178","-1511671020403932","1548490824599706","3121389179681628","-52510736412855","-9318582807307104","1651807009566072","-2406620163090798","-4386691334964306","4658497798146714","823916133995724","1602461478900828","-2022751913127402","-1055577945270744","-5236019152974960","79602394139412","-842911623920457","-3989987061694866","-118810282286892","-696864005519076","482480131285944","-815846502807930","-1787515371506574","1935141951981360","3563599369598100","264062834981694","-1345777672596468","571248903343920","-1994590908302526","2311860191933850","-761660762764116","-1468856511739692","1035253269027348","-3541236270158730","-2907826655729256","-7773817924287372","-2663332010615040","269424777693132","9501355917368472","-269416289698794","721048550598","-1607273228071689","5450407723811814","2400748751299392","-3128081206008954","-8504535028725396","256280858245062","-231471283133232","2314726480839936","-2475509853502764","-8274951961186278","8509381365127440","1484396014519422","-480607343302086","-2374668800840664","-1569043914066540","4116691685528502","-4569941764307202","2699529957062748","-3004156733719644","1495886308069776","1260619108924248","537532954643544","1127081612847024","72040452509061","6629664254943552","8144399150393838","125378012635848","2519503294601052","-3248313595895622","-1911172856213358","6769301200507608","1320071554140162","899215626293910","1554367035540480","-369704792690232","1039520850987816","-7835240476464774","-1016751726854868","3718276313179644","4001799360949956","-2419418857702056","-710959654310526","8891132375751048","2452205960126232","2230911258242976","-1105369820689992","-2911209491087616","163360752298695","-5035882773745290","2679595814135886","890945603806617","6544537062839571","-3357960507285594","1294209827303958","-1466308267132590","5273589581246844","2453374468896804","9645569406297600","8805611146438152","2877777928245492","-924602681670756","-156669529828119","4692099837880026","-5722207980024492","-10610114308491348","-2226658777189200","-2779006044641556","2737997544821502","-320787248666976","8989253278424652","1985154043667016","3762347615751654","6145895764500300","-6732797946854286","924310692999774","-1040793727115667","-7559122287804678","3173319297892746","7988005308174072","-5690626790740836","724846232474640","-10526868971331090","-437769723820758","-3057583809980484","93198478154154","-618275452012560","499150272122712","-2317670971385046","-21270747803132256","-861441511063014","-1915538985331392","-8652331117959084","5571127235812356","-7816818650566584","-4962889968122592","1698411719110302","-4257333872143968","7308285306664059","1431290502186534","-2863235263853826","-3449758883231562","-6540150046473945","4012647290993232","1744049712244602","617673396283947","4333314983583972","-12664826729311896","27820730968830","-17339043561734982","-4229493372653520","-212925888042714","5330175659101440","-16003505738109504","4289860077243606","16392570949042620","-5864785308664044","-202641573005928","5157898782480318","5252496548543988","-9515941943499360","5711068231135908","-2696536054920270","-1847993104377108","-4495541267423784","-6587807231210688","5523315514425972","2796724706224224","9120839208673584","4609115506780092","-14061111017811156","-2454948781137744","-184488991160985","8598095998680186","-2859788391309444","6411769063490016","-13154892695949288","-12229668394472982","-15016373425174320","-5819675374958466","19416897652014408","5630020102791396","16911652572541680","37109336540571048","-5714203718341395","-6633155641340730","1013389727310072","-4912032238399494","1971152961280506","2269868334160374","-417422999866644","13112863410960360","4384367583737034","-4273947110526786","5290143685448178","1309386718797240","1634513371538724","11186752600455840","-9065885866962480","927747149570658","-2340811091333967","13400078172544308","-891745653956724","2387973024167388","4196934749038086","10164777144244956","-14707059419643936","7844124950598426","3637214867781036","-3279424837275972","-4677804511020318","-5296978471555692","-4010845316591160","7167521199709662","-3578584096352412","15469498544263536","-490501314393885","-946555750010358","-23075864644788210","8104504572070656","-1781328051522180","-4770331921278840","45307653921573600","-709791940643778","2567002207069014","1381294736875998","900406283007834","-429122943867612","4793166219215010","-2824163927165592","-26113497805547256","-13181235776629224","-24345869005140318","17639794056235152","26725093718852454","-1688545428371802","6854994150901164","1046400027808314","11427345859470318","1010309958199824","-7587994179445224","-6420892652314848","-7673343622601748","30873458073960000","5255583423883632","41011538032768890","15602234798509704","-7093384768752318","-27521180311519602","-3752741872866294","-27149476177766268","-16125261198824448","-1700361690757392","440497784740536","61124328320364","19677461330524512","-1497859161091902","-12765029357328675","-24373980340645854","13060304633117358","-22999267088851668","-7371690250245822","5461047128079360","-4222548478446543","13189589128021806","19241427911243724","4355535211709826","7444844394513096","80758968287040","7246127167406250","11798239751206062","-8500283460965592","4768419722361852","-31296216016398102","-9931134390646104","-22634421063733236","-1924826417888136","648010019484702","-20885585208026928","-17546862966217164","573944729129865","-18428472121216980","2868660192530814","-29686893858314811","-10837268865364032","-8266347321955392","-8068996443596724","-45405818979877368","3795211802841438","-5151665191046130","8931097690839840","-1686228823526604","-4601444829647526","28421760840846018","-32779086644439912","3778270948629774","14353711775051592","-7205522742649206","-550436072280633","-34567834291526316","-21024904255241508","20085537403746072","-11344219251477636","-9710253381140112","3740880853417806","8317991859323832","-16374768817796604","-1127040295504032","6041307856908384","6142623008608608","9123105964504266","13404860542337088","11679739128330987","4306253099941800","34590559555307070","-53202878567106096","-3656680477923069","37383074084699916","-1505371298778504","-3049904083192092","7705649081105082","3067929883724628","36481907576628072","-23611491640015428","-6876455908644060","-1538041555416906","13074479962738068","10379071917097068","33082060594980276","59522303136745728","33004096268245350","5405301123435972","17859995075820366","-5682628227499356","-3026552019203898","-6571800254928360","-31679217459374400","-12456187575349068","52586915135896530","48700220216797080","-714657279314412","-28951340794140618","37803159545644464","-14957536015721376","26461356840847710","1782657295864482","19205591623045920","976542923515908","-42330409218033534","36072908389327104","49740964847711916","31060041330036096","6127470188512614","-11069404630678386","32645794156026828","-33248650255545834","31572876976470240","-50698895348289882","16185372667613226","14188584786648552","15990352414497852","-748084772001798","-29455522987771344","-34165872004522488","24698948367048480","36340781047416948","-30891077632707852","-15292339114259142","14026511749625214","-32727330894262338","18121542524345826","-72864315870396456","37985283254294520","9485681792429952","45377985218410992","37658209425060378","-12604393726067898","58066520939375139","-115682717609881764","-23145322139332416","32638482990680202","15588928748486748","-12397978471840920","-47228649231929328","-40929675606459615","72863074998780696","-16871476170690924","5715518184796356","-648175786223895","-17073945854954100","-55696076584840488","-16801781410692162","26709252439696206","-81452899108422354","53503574683281012","-35695632938270496","-5701044848982042","-20446600298442462","9339565641800940","2004056330062152","10461110039242434","-5625648331238268","9172470557735028","15637388974543224","-40912079994397224","30299166291523440","3560400428864904","-70367169504743904","-41284293143168160","17184856690557180","-10145506472380440","13939387540494672","-20641062129740460","2194727421094314","32021573457980292","-15015904261884702","-9421368429511812"],"space":"21.12.a","level":21,"weight":12,"T":[[2,1],[5,1]],"status":"proven","derived":{"al":[[3,1],[7,-1]],"fricke":-1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/21.12.a.d"}