{"label":"37.8.a.b","letter":"b","dim":11,"charpoly":["169022040552063416","-10850964339267476","-2199792138785719","76274251969145","7581539205123","-49814019603","-5745282384","28512590","1544077","-9177","-137","1"],"traces":["11","16","121","794","376","519","2243","3870","9826","-12629","9415","27955","12512","18260","25714","167866","54312","163911","97192","85625","97795","-12345","107342","163119","165051","61531","446611","215454","41748","-1080964","-272248","593306","-216525","-923600","436814","-456119","-557183","-175872","-1587326","-3206863","525465","-3814396","-1376086","-1337377","-2315492","-2037327","2269179","1779791","2282536","-3881347","-103604","-4200495","-346415","6349248","4169374","-4307934","6170792","-1334849","4598828","-4448200","6208418","4732115","6882994","12483426","9330160","-5715150","2199016","8095824","13516268","-6471708","4653285","12839097","-1080699","-810448","16194855","1331888","22058153","-23968103","-1336084","-89443","9585355","9689125","28551309","-37602282","13256012","-47733694","-5826578","-58704117","-8994788","-46526086","-696642","-41894465","-9859184","-26180048","124152","-19485621","-3968264","-7312590","-14172918","802721","11869707","-47487826","-1473374","10402161","19758050","-57016290","40209468","29838010","-19880568","-3578861","-6129013","57266366","4135794","64797402","-10186716","77707125","-43673042","11937446","40483596","-120486008","14051986","80688829","22776087","-33777575","84308412","-34353322","55097749","145183362","-67232978","136971358","17990388","-3954904","-107622868","170883065","-110063522","-52997200","59776308","146538195","27235052","356543248","-31742985","46680418","55180774","91954829","-66142584","254972939","-708454","-40218482","13684735","-9633256","-143725072","256780512","-172827632","-112994042","-113183584","-381879225","-240162225","87360625","-261554527","-389984199","-131726054","76815540","-128429162","525712941","-209423668","-36376054","156723612","-672647782","-275430925","-120276738","64125692","-425688542","34061457","-60751987","-128896643","191293739","-306118372","-32208524","109643334","-598894978","-218492867","615215990","143177392","-270948265","-19045528","512506030","-25756284","647884722","-161500991","-221567334","43033496","251266767","33256806","-23862728","275134164","299631734","6719667","103872330","-198122298","-230664459","-329737144","274174066","370129026","212292082","-99747594","146542815","579922448","-278043819","-276984000","157326906","416210423","204136376","-449731875","240262447","978238580","1528833270","-926863028","400934876","244479039","1059300229","86483988","-26288907","789253059","139765702","-126901488","106234184","1128808988","775237630","-327015997","61373210","1128278989","-580673387","111665808","-1291211519","621883918","-587636342","-1554758198","-583900652","147000342","-1022310296","-584172950","-980427133","472692208","-651741061","-448389678","-133858723","196515088","603431457","411431593","-734775064","571361710","-2609325618","-203898310","-490639058","777034600","-14728670","-432149412","-1842496724","-113614679","-595531534","-8896610","-384063754","787778143","-2856623148","-850105018","-769306500","250324640","58325067","-495356754","-1254280927","1728784573","150218448","-239048346","-592829287","490058105","-140896439","-311306166","-242457203","967748140","-557204552","158754144","-1543959514","478877592","-449173356","-1071886696","2190436326","928503189","2696440449","-1438021331","-1048236834","2330257508","-520823025","429009454","-401709027","239993640","-196027110","-177126597","1823478760","155629460","4208211274","967689170","-2477753006","2938139819","818989856","-575744918","480354698","1244759579","3478861264","-1110988414","683082647","1657894752","-1989926425","638312658","-1995035278","882528956","503672643","1570829242","1210448220","-956546694","-382653275","2241317918","443903242","1750265448","564774430","-782719774","1206277524","1675949868","4643790201","-1539808755","1827253437","-837831302","3017041212","-497716378","-2074465185","-1139383048","-1615409690","1716015037","1247183109","-823286682","3360393298","-4277858278","3507857742","2144964769","-12556678278","-816619698","4313708926","760933298","4594134091","-4883951618","-9592371806","-16893698","-1922535233","-1494867412","-1640598074","-447016470","-5987486284","-3870130380","5990741582","-2717116731","-828507866","-3117079105","3532602458","3398783006","3351224358","-7597019836","1062636420","1120628664","-6062274797","-5306766432","639696737","-2970604525","8773947074","-2902114943","-1789154862","1969225308","2655742694","-2759868534","4703878724","-653158725","-9555558690","-3139360459","3546159615","3639691064","-4362314789","-3577851554","-644414948","-6027135200","5556591176","-4556056742","7588633397","-736365304","-6489216378","-3500511204","3137032074","3959727376","-5517930958","990890463","-5634453844","-2588722124","4196263165","962721798","6618674488","-446899928","222131040","-5093074982","-4155982474","-476897995","4000087330","-158229436","-6356581524","9813344490","1644560713","-2562176552","5668398027","3667307250","3549038729","-89504270","1369918694","5726917843","17773172586","-4489506850","-1123264867","805493130","-13969237772","3968959284","-4291189180","4183345096","12291942141","-5920087592","303263938","694778466","16954590074","-1769541329","-1890829820","-66529524","4599149604","6860489244","17906872568","500752656","-10115865891","7271642432","3433822162","4130355397","-1416004615","-160395672","4128649660","-4344156909","20538888998","3051711972","65352116","8994373217","-6580382172","3181841344","2701167278","-11418713212","24002060174","4825242126","2622406432","-13177452980","-10977173186","1637803014","4980187256","-5160022714","-3659849031","-4371542022","-5578519055","-1991052830","-15277174017","-5816560344","-12025906158","8366909823","1044674842","16720898462","-19207975125","7880889720","4671651924","-12096911410","-2624490077","-36874438","-32709379536","-633770336","-10665885160","13071815318","-15591565547","8486319964","1904347566","-10813100744","7612814619","-4615425802","-10775594341","-1187951380","-2901064063","16232762100","-15437810442","-14287877356","-22373277819","5200673427","-9352829318","2113962600","2881461624","-5130902380","-1039692036","-3597425504","-41416377802","-6718622910","14735523674","-1637330081","27605705912","4462575221","-2733373972","-7845499483","14926054354","11333227868","-20272543796","11509568868","-8394064600","-13701991723","-924923780","-8714095151","31431899578","19356339063","18866070797","2369693378","-44594632854","8424778973","7630947440","8098608432","510523632","-12605701107","11658329722","9888833948","-25703461156","450591936","-10316659852","-17354618240","17157840963","291291434","-2186377364","18230023182","-44628455737","-1072677458","-10459212082","6879420581","-19993422752","17458872284","11688997600","16487641580","15636677067","30726743728","-21084309985","421099104","27592223425","9891716732","-39051781497","-1302491242","24848588231","23722683144","22861984636","10244202540","38954512144","-17544936012","16682504360","19808028426","-14601452524","-9876734792","-15365844482","11368870339","16094927936","184279836","-28393767900","-9853070293","-14169364834","1229625856","-3840351948","906443794","24958574085","-7021271732","-22214091272","-4665532254","14383128674","19695289443","40520229714","-3236266769","41729666403","20012517570","53697486214","2164509760","-10245959573","18244984140","14097069464","-29543551509","-8502916498","26597025409","11802834357","3170158488","25152459434","5544024690","-29510003017","3127244005","14949740454","-8888467300","-18412462100","-26404018432","26451882134","45396184094","-14642476960","-30231830488","6818641008","-49510498294","-11238114253","9508163478","-910100786","-205070245","-13633450163","-61640614002","-37940338404","27217459115","-31443801830","-10512629565","-69589328915","28116799640","36382927613","16027248704","-69889346229","-18451887413","48560827834","-43818629156","-24676295272","-2751065736","29273875098","-17453748764","4071130179","38226022939","2908092500","-19153631414","32117732202","-8016012246","-18774700770","-56067057354","-23108663951","21780478241","31354644731","-16828407446","-86769813670","6455881640","-14024419144","6957290392","721267626","-18206647568","-2791206028","-84866117284","-50071159520","2219726046","31840918510","-51370271656","104999874249","-3000543858","38668837078","-12941938539","100411817591","-10846687422","-32992526060","660421504","-6034447016","-17813943000","-8302583883","-10680724084","41795470773","-18061360233","48925855779","975218224","-78585719938","9166681621","-11770313293","-13989320955","-6993280591","-30083690735","71090935426","-11551582892","-41135054574","-9429185152","21368951765","-15957208158","75212864434","-14318062582","8102726146","-57505440689","-70805548374","-16406857106","-14014893313","18658032028","15545044536","72253475026","22062648878","28711218208","70304417387","20259434360","-5780120454","-29037811738","58362171684","29744521218","-56530000403","-4923066376","-8505192821","53219510090","-34500537094","69153262521","-7938055974","-20804548210","76163143974","-64757266268","6699922500","22134877312","-45831558004","-4426164908","50727020526","5189899246","-8675543306","5145386955","-118161642458","43783571506","-5329711720","-6655003330","17484808932","-14105100666","-25452944796","-41713033408","113075536350","-8761946171","93942640469","32126446368","61441182148","11183199167","36221942246","-35410107716","-28751277921","37638200462","53144164151","-34904185821","-4337163125","-18178523404","6330658278","-1158739455","227725276330","34199756030","-32390841244","79914781726","46273032798","36865501536","-9354228473","-47885255587","110986590210","32277202194","-3690165007","-14728537256","-87551894070","-46960248796","-26607849963","-6579912218","-28459152882","24156871939","-20231872712","-56927162620","-140096891219","58570776040","38410710880","42673681856","-47114938249","44730338390","-101160537226","25800757176","15175721624","-31325715753","-36327675956","-17038920832","-131510952648","-4953610135","-32853477137","46689219852","67500836911","67524917643","-13294542426","-102204127550","92484333710","16904100266","31869401038","10200741175","-111249200136","85728859179","102588996186","-89956511454","-138056543262","-17068876644","-30998235320","10727348338","-116013226808","8490220990","-44307834524","-22875149700","-155213736839","5030530220","14551800738","-27617987599","86289984096","-54298222248","-117035621200","32010956906","118350743828","-15296041774","-45959872054","53563147475","-63655879650","-45125292175","625311285","-4250330460","20191664362","-14947370136","-34414363978","74328236820","-61299494784","19437138193","46100432878","-51943581064","-67384798743","-65786159389","97813501756","51946933546","4333531393","36988245950","-209103204180","-132972572244","-18808137811","-38493693204","-10518762899","91935003800","-103905613854","-59806207886","60613947691","32892671540","15703938482","-15156753069","-69144206151","174185147572","64347088641","33637203834","-31209290764","-22996560142","-114436643392","10131395604","-62715882858","-5437194326","-128822540526","91565069400","-66589358008","13535501696","53253820509","6989895672","100112512851","58887429164","119537406862","-48008465471","-67642259680","63398176896","288090850506","-36686278826","-130019535453","15240554375","-283152832828","16546037524","-22411922343","31073056344","41296275444","2315930120","-23078146878","52612016724","28708000650","-516500962","87163378573","-14228784866","242536254545","-42821776832","112051224123","7887235228","-42096707058","103836454308","-39992134607","-59700132491","-8262466707","43404943763","31321969720","61263788967","278898867014","-1942717236","-2603833360","-71061890556","-26137576050","22900363660","15114112936","135492410328","127156112188","79135885692","-127137360954","44726674858","-74812587028","-98125258822","89908897436","98688524536","79376391874","100086557522","13968569706","-97420193446","137606989894","65904710519","-42147597510","96209182280","57427540186","5905017504","-26050661728","103132335918","94310759622","-19521127295","-34173588832","61403691930","81376697734","-8360328303","-55988535595","30243333368","-60103278243","26926622808","-22343962997","-73547556092","-47524021485","-13157473690","124472523200","-3803778624","-226043369185","21015899263","-14715928208","75000853938","36586061050","-40838650234","-74141901452","-73364987274","-77092285838","-61013054878","3415050426","47969953596","-251828436219","-77784754378","107033330034","-54942822274","-12802520252","-137807058413","116330037366","132564383984","-30876182643","-69106327596","-130694828157","-14919155850","-35690479576","49095488329","-3116729743","23231588912","51584652500","-131068305764","132768904808","-17109194802","-178217938515","55647315336","-108406972022","114752141104","-65780656718","-155815415216","63969928212","3768687670","55949125111","-148468773752","-43199973002","16915159344","142969390677","-178645708536","-49948632391","1973191125","-79665377283","-129882947838","-32898362502","59617556313","-183604273294","34614042676","197038470261","-167998952226","9562135345","-209884713178","113696784990","46169445116","276396568524","-26421109238","-140984664546","-22622186983","-75205155760"],"space":"37.8.a","level":37,"weight":8,"T":[[2,1],[3,1]],"status":"proven","derived":{"al":[[37,1]],"fricke":1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/37.8.a.b"}