{"label":"51.8.a.b","letter":"b","dim":3,"charpoly":["-1252395","35091","447","1"],"traces":["3","-7","-81","233","-440","189","808","1785","2187","-4010","366","-6291","-8756","12344","11880","-27199","14739","-5103","-51450","-76450","-21816","-187284","31738","-48195","-97345","-317002","-59049","-84888","151362","108270","-158012","-170807","-9882","-34391","-56240","169857","155254","-57524","236412","-106890","-342000","-333288","-1220582","340356","-320760","553384","765084","734373","-826437","2296495","-397953","-1151970","1996194","137781","752970","1912680","1389150","5877342","1077744","2064150","-1027962","5548304","589032","-4005711","3780730","5056668","-5818028","1144729","-856926","-4628480","-6680080","1301265","-11465770","2113238","2628315","-5176076","-8857344","8559054","-858604","5581190","1594323","-7715478","-2737624","2291976","-2161720","-7665724","-4086774","-7185780","1947394","-2923290","-12349200","15007712","4266324","-3617616","9791570","4611789","-1785102","-4315647","266814","3276615","-28980370","928557","-11396562","-11354490","1518480","4932558","-29667754","-4586139","-29616346","44379480","-4191858","1797864","2475028","1553148","-20962270","30126942","-6383124","-6023340","3969704","2886030","18360489","19502830","9234000","-25763328","25399050","8998776","40119738","1853145","32955714","91878340","-6160046","-9189612","-13524256","21855260","8660520","8769705","-20046714","-14941368","40426216","-18081040","-20657268","34104152","111983838","-19828071","-77954040","56110266","22313799","155419590","-73547374","-62005365","40716840","-27323940","10744731","47340528","5588500","31103190","-95486684","2545104","-53897238","49864790","-42865568","-3720087","162275384","-223939902","-20330190","-41225044","-28160254","-51642360","30529575","-19701130","-37507050","-65612580","-179730152","-158688234","-12605160","-40106868","-29099088","278186026","30649848","-55732050","-211387214","-35989216","27754974","-51346680","-180985100","-149804208","1798158","35198064","-15903864","110031560","-83329132","108154197","31881198","-145145870","-102079710","-154133007","82463784","-136530036","75136696","-75837825","157086756","103384910","167299632","-30907683","298618770","-60480488","23137002","65660310","29922330","124968960","-213844920","215015070","180362160","-165026308","212915230","-35134155","235213632","-324635874","309575790","149244000","-43018228","-57057426","-53661166","-480669656","-70964505","197606770","653966658","139754052","-120464278","-179838400","239148288","135916830","382325376","-231094458","-76994340","214488228","23182308","60646072","423900920","-150692130","-371833030","-283325611","-43046721","119175406","248621160","208317906","241597526","145449360","73915848","-40340100","402675276","-61883352","85287666","37958176","58366440","-10216767","199830162","206974548","-724285200","632448140","110342898","-1273377116","182447480","194016060","-410294520","-286221392","-52579638","-841644996","-145410188","78928830","263842074","-133628687","333428400","326659002","-506611140","-405208224","-269828862","985016492","-115190748","-70743120","541976058","97675632","173759088","-334472552","-264372390","393160776","768643248","-124518303","72412707","-1673043660","48197754","-1083599926","-1173198378","116522469","-267800940","-841840650","-7203978","-455325538","-323596970","-88468605","-903381600","1276962808","782469990","506760988","-150871540","-25071039","-654381052","-960287136","307707174","-1040208320","134877016","306571230","-1903053798","-628251754","-40998960","1251133088","398211722","-133179066","-1827547236","1421111110","801029358","1063736272","-252773850","123825753","-813456270","-220409148","799641342","939777930","281771424","-1198245960","-869203658","-911924","113180166","2860646216","1193409760","-48542328","687631054","2835346647","-66825756","-375598850","-2273009484","-41934996","-585603376","-1224932940","565981290","2510749102","1508846420","-813427434","-1296024568","234655960","172344348","3459415116","-465077706","162630180","684294280","1419002762","-107182008","692557068","22734528","-77922810","-1727837103","223434518","-495733203","-1571090704","1698597240","-526576410","2862179944","-857153176","-249318000","-655805180","542210640","695609856","-836485582","-920126292","-685774350","573481440","-3903238224","-242966952","3221979220","1636469920","-1083232926","6353082080","-397915896","-50034915","1411403520","130123906","-889804278","1043710066","-2664766914","-2480715180","155928794","-36937215","166321242","1236708102","-1195139580","248119524","1536393926","-6321104920","365154912","561639255","1487603536","-590092020","-2732827620","-4048567010","-233834040","1394678736","2687045208","-236782035","-2146970364","2294483340","541261278","-2343635696","-627755232","403416936","475484980","5382853798","-1091507832","3638981712","3856463420","488188080","-1696665068","-3194071388","557746236","1036423710","-478255985","-920812104","-820985584","-3297711020","-3023563626","4173483160","2445140160","535357917","-4657437024","-2309567968","2104759080","-3319644178","-1005950566","-1514977182","755284192","1104493320","-602472573","-1557430826","-5679461816","-4196328930","-3249752620","-7648743312","1985779098","1750365544","-1800072530","1674144855","-1826184690","1098315386","-1099354680","-1492274652","2812009600","737746380","672825668","1671555774","-290107737","-2946388280","-8486427062","-1278194256","-756862176","-1611409266","-150889500","-5776161318","7252869696","-839786130","1086314784","-608937360","2578140468","-372467340","4470824886","-68717808","910171660","-417054744","1455225426","-4810860688","2474210634","-1346349330","-331750284","9514947138","1157370336","6311203949","-24671380","100442349","3654980868","-1525814850","-4381435368","2507040390","5781461312","6046377354","743641506","6830269336","548915130","2700749904","-2201592832","1113076188","9206582664","5005870500","760326858","-1012301292","2948209974","1394343720","5833628260","-8053532592","-824298525","2020314280","1904507470","531930510","-814004816","214756073","1012690350","-15811735038","3652433270","1771539660","165749148","11830485104","4852714104","2697455460","-2874192880","4284582318","-189166084","-5704313236","340339320","-2406288904","-776312956","1082885436","-5191439539","-4900360860","785675376","409208160","3832952142","-7511022702","6750292450","-501443460","-827545896","-10333500242","-39205314","1504765350","-7652326906","2674519072","5707454778","-839174791","7725616140","971708832","3898276108","-13648345110","-749384298","2689253940","-4525540020","1386360360","-8117574272","3702087046","4886597700","-937184820","400926066","4044713616","10065601722","676169840","-48550266","-1894253046","-9735575320","-950347728","-2489383330","10529637052","429404328","-4746592200","-16198542278","-2970852120","-1547581364","16673857680","2249886564","-16243938624","3285755840","-2920163319","2476090564","-168962983","-860792346","-12554590140","-3816882304","3918938490","-1805458212","-4648500150","2756152170","-8712269634","-89299652","4161591189","1824794564","-471244680","-2226522168","-8441766810","11311426974","3686310972","-276307120","-2566825010","-2028690792","-13846072976","-366200244","2047621275","23309302750","-1509871792","-4241342412","-9245258888","-6135170870","-2791392570","-1642029900","4227840476","-4517090064","-2514859900","-1422020268","834507441","-3695257796","-10123754628","-8062706790","-2616697440","2424136902","1632973176","-4182386800","190387280","-624699054","2521843960","3661705072","-1772828370","733127075","17145422170","-807902910","-10877986434","762762902","-3374161920","-1508695646","-9720427920","5773812840","8557970606","-5578001590","-5805406890","5094155724","-11878966296","-4869778320","5330418870","-6093971868","4455710316","1200730500","3603864512","-5748711210","-282615412","8997829004","948622185","4699254348","-4016293430","-6350768064","29357443796","-1642164336","8765168598","13855859750","12213449466","-8358546330","1415419872","-19763975816","-4029588000","6936925464","20376446180","1161492156","-4444017060","2430633440","1540550502","9390892932","-7978252064","1448851482","5408099080","-1478639904","12978080712","8190698766","-8389311406","1916041635","19364008143","8397387108","-5335382790","-13248727504","-525150570","-17657099766","23520586848","-4080288262","-3773359404","13352268360","-20062711568","3252535506","8400179700","-10805596464","4855636800","-4366469972","604891094","-6457003776","9942585836","-8328290060","-3669754410","-1680246000","34795102662","-10322785152","14671372120","-8232586602","6239550366","-6830861704","-6063326292","2078847180","38004714354","4340203760","-5791182156","8824117194","4687752880","-625922316","200851770","-5694647468","-1637443944","-28327480890","31158104508","-11445324840","13409252232","-25683649322","4068687510","2372788544","10806553725","10039491810","-28844375706","17237881170","7649791497","26375091640","-4878499920","1162261467","8116544940","-5996719366","-3217735962","37298953546","18037754192","-6712771320","5033832584","-13517801976","-5624583462","-22934055050","-23467371100","-6523133202","11937741264","9163066584","-3927132720","11403210280","19082097726","-1995727896","1672169028","-10930962880","1089182700","-10875313452","-5906341152","-10872232452","-49575293388","-1796015680","1670850504","-1346356784","-19405047412","-2302766982","3414644520","7136586902","-1024870752","-16822167248","4327063456","-1575893880","-24815068080","356101548","275852709","8133297268","5192009040","-5395414374","-8629472990","-40882784018","-5588312796","17931704640","-13519317630","19555700400","-26307460962","12808928358","-17076099780","-3057695400","2718775592","-2979258246","11380691721","22572891730","34381182132","-30033201068","-31528800594","-4926081960","2336020320","2958588016","-5238433620","-4867870084","-82431969186","11077952040","-24737814888","25213286710","7727977584","3758857692","-13569327505","1419650226","-7196760926","-17088135660","22724414892","-6428440000","7907382944","3926075076","-3657618930","-22864266208","-2131078410","-220751096","30228305328","-7123735998","-84811549944","-41503845780","3607974549","22684577102","41929736458","-9002566800","40928017380","-13228360632","-8819793054","-899045736","990535560","13678500780","15290196480","25606820586","10940622048","37544204178","15250468120","7285379274","21721013782","-4060284981","-26595445284","-6848324150","1753267848","3110150196","-11635384732","-22865615482","1910064240","20921573901","48103696478","-14633353566","-35446409612","-38910042750","-2637242064","-33504553976","-20082885810","-4691495376","11282679935","54400178560","9030758904","29387757402","9775705840","7138054530","-17256735300","55920305662","-10615340952","-45284622932","38678963840","-20753367696","11675683536","4679506792","3361994181","-751783090","-21313810094","-1955143089","30399992192","32640273252","45172178820","7824766224","-21510375810","-1301339358","-13708501792","-10639329600","29257198002","37260853082","10376237576","31676356206","-6288328920","-5805688066","-3146106663","-34610480482","-5659628610","7230625380","-19215786236","54919136598","22729697550","22379189120","-68907718420","194507406","-66009494440","-12083152980","12293789526","-37857384300","-4265764440","8737118190","-27734350094","42756035112","2388652335","9807301122","118560429864","24391303200","824715570","45048907360","-34477995816","-31447374024","82220701548","-21126689730","31382954320","-29307483670","-13682546676","22575513372","92943622074","4073531580","-47513048290","-19238328896","676918053","-50305330462","-9649330320","17668288404","39759212902","10636572152","25927752672","30294746730","-2813432960","-8308093698","-85622102658","12175863780","28085624640","17895638550","46247706930","-3641679432","10585066428","3699341610","-8277423210","18644963758","-56048842720","51382452546","-14718146160","15765517722","16962797358","-77142411402","-16834105644","1106971920","47496915312","-38206960804","-33780593376","14078951056","-39475986460","-10751716494","9396996840","31906981490","3595834782","-35529237980","25765340128","49343775372","18552452448","77784620400","-38369999970","-7479241941","-120229173532","-21627792666","27098303042","5202590120","-28720879344","24531085046","-30005515995","6824893950","39253794140","-35853576504","-3343295331","76364937600","-164837776232","21963319290","1085819182","50275674318","5951046996","-72678618672","38217756750","-21590316234","-137160172828","-49091835450","-25374004110","17264057910","28875381246","-7607828448","36040805136","-4089462410","32352640920","-17429767960","-94281501296","23468498766","-14812480384","56428098640","24621948","-44251698206","-93175066892","-3055864482","-5590160100"],"space":"51.8.a","level":51,"weight":8,"T":[[2,1],[5,1]],"status":"proven","derived":{"al":[[3,1],[17,-1]],"fricke":-1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/51.8.a.b"}