{"label":"15.8.a.b","letter":"b","dim":1,"charpoly":["-1367","1"],"traces":["1","-13","-27","41","-125","351","1380","1131","729","1625","-3304","-1107","8506","-17940","3375","-19951","-9994","-9477","41236","-5125","-37260","42952","84120","-30537","15625","-110578","-19683","56580","132802","-43875","-55800","114595","89208","129922","-172500","29889","228170","-536068","-229662","-141375","-139670","484380","-755492","-135464","-91125","-1093560","836984","538677","1080857","-203125","269838","348746","1641650","255879","413000","1560780","-1113372","-1726426","-989656","138375","-1658162","725400","1006020","1063993","-1063250","-1159704","-4523844","-409754","-2271240","2242500","-389408","824499","5617330","-2966210","-421875","1690676","-4559520","2985606","3901080","2493875","531441","1815710","-9394116","-1527660","1249250","9821396","-3585654","-3736824","2803746","1184625","11738280","3448920","1506600","-10880792","-5154500","-3094065","5099426","-14051141","-2408616","640625","15172266","-3507894","4705268","9620286","4657500","-21341450","2631204","-807003","-4300594","-5369000","-6160590","-27532380","3982334","14473836","-10515000","5444882","6200874","12865528","-13791720","3817125","-8570755","21556106","3771090","-2287800","-1953125","-13078260","28017676","-28500069","20398284","13822250","-8199192","3657528","56905680","58809972","2460375","-11303214","-1666458","29526120","-58745596","-7072500","-22598568","5062304","-28103824","-14544279","-16600250","-73025290","-29183139","9354970","-19369742","5484375","-53395208","46637916","-7285626","59273760","6975000","-9416142","20452922","-50714040","-44324550","-14324375","116085600","-6908733","-733588","-5726470","-11151000","122123508","16892520","-42141060","9603519","-16240250","30061044","-30975172","11818554","46613502","21562500","65918104","26720712","-36448698","-31374640","-3736125","-58355530","-152597640","44770374","95139720","-28521250","-19585800","33020176","34316344","-27162540","67008500","4061656","-28727811","-133220566","-66292538","28707750","44315137","13077138","31312008","-69850232","17671875","122143788","-197239458","183266760","11063358","17458750","-61168484","61323480","-169703206","-136243744","-60547500","32853500","67307650","10514016","-34205652","94436500","-22261473","-77004000","55907722","-151667910","16933000","-85008964","80087670","69519356","158141100","11390625","-51770342","-230778860","-45648252","146157054","136695000","123107040","150199062","311907438","-80611362","-104623000","-40575896","-105329160","179292360","227310296","-67334625","-198482654","111419815","-14348907","-67984642","-135107125","-49024170","350753416","-63109800","253641132","25390625","-132535968","41246820","-277932480","-364229788","-33729750","234309793","-35864226","-265177692","314874600","-43593250","96812658","106589496","-479640488","100894248","-205206250","-739773840","-75701142","-185477604","-70876414","-31984875","407490256","199390294","-316933560","21663954","-51625000","-93120840","-79347702","763692748","-40678200","-195097500","-87006846","293781384","277611876","-15965728","139171500","365349712","-192744600","83539755","-310458637","215803250","-137684502","230310530","246490482","379380807","123707000","258060270","65032632","251806646","715524720","-17296875","-1042578960","694137704","-409651182","-822699436","207270250","94713138","384964564","-186940320","-127042236","-90675000","46443456","-259747722","210558002","-265887986","-125752500","159944280","-960971366","576219150","-438777808","-132999125","-71042508","-1509112800","-412112584","21789081","132906250","9536644","116116038","-157966770","1155037920","144963000","399922812","-385158756","166335930","-219602760","565480500","743374260","269184538","-124845747","-107523018","51219250","184363200","-390793572","355093320","-854461452","283905000","-153641202","-821868004","-147011814","648353902","-280312500","-167423598","-378621880","652666326","-347369256","48676000","114953586","372376440","407870320","-877430856","-103062375","806535957","758621890","231410385","481269480","-702166250","-582014862","286988988","-1678278120","-101819430","370776250","2265477000","61770600","-1770132542","-429262288","52734375","946628904","1129613812","353113020","1463113060","-211334500","-756477252","-52801528","-990456408","769501863","569940000","1731867358","-550753668","209076466","-796901166","-373200750","-840695280","1222449267","221378184","-170002794","-487635000","-98753256","795584194","908053016","-1536453360","-311734375","-2016318342","-1587869244","-474634800","622062906","-66430125","-2382467880","-753873680","305186778","-54802966","-226963750","44994366","192915988","-1365725280","-797205240","1174264500","974745070","1586131092","1771168672","110924536","190957500","-2120637986","-427095500","610161336","1856706150","-156156250","-136682208","-2288263560","107879364","758803248","-1227674500","-2485326480","392695533","29995642","1001052000","448206750","-176324354","3468772320","1971682830","-1048734680","467103000","787944753","1105116532","204679116","-252584190","-350468250","-903751628","522983034","1468310340","2639623418","-148078125","461469680","163275694","1441670616","3000125180","-1467285000","-1259223732","1837383370","-1900041702","196711902","-431115000","3576778602","-1600391520","1280677668","-2649532702","-188325000","-4054796694","-4199840036","254235834","-6242904720","1360099000","-552228894","-1119300936","2496145568","1369279080","644312500","-565460520","1196762850","-2955033848","2482019880","386758125","1940814020","2580274502","-3134311200","-351400955","-637428250","186535791","-1080653044","-1875381222","19806876","1756392625","-947786672","154614690","-1327223188","-4559794408","301077000","1113265800","-537383040","-3297334716","-2076919244","-80078125","-456098040","1722967584","2732654896","1137808620","-1896533250","3613122240","-259295013","1148724716","4524697154","438486750","7751915400","601981523","-811648188","466234938","-588158500","836329644","-2765395136","-4093369800","-319100958","-1202535750","-279532670","-1258564554","1463762068","-336166872","-582187500","6235326344","557665200","-1779788808","3671348953","2667681250","-721459224","2333132880","-1188033020","984114846","-328900500","-5116467564","847115280","921393382","-3571151528","100875375","-2721936690","-5297373328","1575599310","-1145262430","537574250","4120136280","-673048220","-68324778","-1208800098","671125000","5476223272","-2568772440","5383490400","1031520126","770073750","-2408569436","-7199944134","528816600","-6426214952","3441547500","-891544752","1131088998","5801136324","-926541288","-497791750","-3608954388","733388580","-440420448","-1670688894","-1809229500","5701386956","-1152256784","-109664712","2505679800","1314375000","775650897","2430634946","4035962281","3596955282","-680610250","-12963880080","1789898526","-5424011600","6353200230","-775109250","-3204376266","-3333782076","-1196508699","-2300968800","-1608191000","-353082726","-4552219670","3422803438","-845424216","1723965000","-794159422","1885956264","-9301821360","-928661192","-477140625","-6569738374","13553526480","-3297882276","-2189203528","1071344375","5325465366","-3507897644","4725439420","-4948202520","-2694513250","7119385904","-298710666","3639701194","-5004539332","-471386250","-5156817120","7825585182","1651549068","8351725844","285975000","-1655733960","-603764928","3869169480","4581986562","244140625","-2737254026","3678581088","838569802","-2280330980","1634782500","-21681968","4412121480","-887044500","12492627758","-3502209500","-1817306550","9193769642","5704111504","-283878432","3562508625","-7853610750","923552604","-8818195092","4759509600","-2549785500","5357463592","-8719969024","601059771","3269823424","-1727781250","2079108000","-30077108","-665755238","-1509508494","1024899000","2786556170","4095033570","-15015492960","-9995126680","-457191000","-2891603978","-5198996556","2295242028","-10624745196","-7113210000","-2162367090","11171304240","692593320","-1877022612","-7351246500","5478567248","-4269809700","-5832356070","-3499398994","-307546875","393744279","-12252424782","1397799234","7037207880","1412901750","6231029220","-2396721600","-9692933868","1232502804","208307250","-4616213160","-3946240458","15072820892","13963874900","-3690765000","3332853076","484560714","-3323890080","10684284052","7343199500","-4055374674","1395861980","-8428600726","-8421500826","884062500","-2731988702","2176506774","9408818120","-3515432872","2824821000","-8484662238","20937727080","1095549192","344619886","-632788000","2843887320","3171036726","-4693896000","-4840893720","3512978000","-1286360240","-6137377992","11406601128","3357493728","1818034875","6493269840","-10484967441","5359031658","-2392576730","2075031250","-3008335005","-13201695988","13275994680","387420489","9128161250","7550387048","1835585334","4301789378","-3730856844","3647892375","9639731400","14946780576","1323652590","-18241424636","-1169371250","-9470342232","-29451201000","-236847232","1703964600","2421217750","23011723046","-6848310564","1353827216","3631061520","-685546875","-14432560904","-16698667784","3578471136","-14684979556","6674401000","-1113664140","16493357962","-19020469780","7504176960","-5829739500","-2968454046","9834204276","-5934819720","166527896","910703250","12875933304","-8418013936","-6326364411","8154002498","-7409220000","968334102","-5462043206","-2780590398","7159797684","-871875000","5767450806","-8501614200","10359715158","-5759432120","1177017750","1286604032","10929038640","-2613941766","-21564178007","-2556615250","-2877916392","-8209818596","536162658","12950293176","6339255000","5495620920","-2724144696","-14104325972","-10342594522","5540568750","-2863859512","-54791606","19973893680","-8364818096","1790546875","2043930834","26212138446","-18559658320","5007895308","-14510700000","6170252400","1913663178","17159832846","2049730330","863591625","-15947121708","7513937160","-11002236912","9800357840","91698500","-5383537938","-31153468112","712438558","8557206120","715808750","9659231274","-584926758","3903976844","5321658108","1393875000","17754428640","-13222440964","2514262680","12048232350","-15265438500","2142387954","9050324458","-10802084858","-20619704196","-2111565000","-5585993504","1098311400","-1442018968","31060309000","5267632500","386494895","27568293818","2349184842","1346993500","-1200439875","-7932097368","-11827641900","-32752559150","-7495520652","2030031250","19193660400","431074656","25215704442","29747426280","-3757630500","2975891724","22531444814","-9864442224","4078626820","3871896500","5204104200","32309244240","-11064318272","-2255573385","-1477319250","-389943346","8382383199","-3157164000","-12889168320","-5826687750","-38479817064","-4863971814","3717481554","-45094040160","-2695312500","-6218384310","36059458650","13633550840","-6655243014","-8239763000","-26295355606","-10243281789","2788729388","-3485367524","-3340089000","-2660828508","-18296966616","-6967627290","38664392880","4556087250","-1755881064","2850293596","34513872224","-6798779442","3921830000","-39330095220","-19319167440","-34315104434","-7410351600","467015625","-16406650100","-5999105840","28149631920","4504019754","7294441250","-18741718008","-1212451716","-9461933260","11060581914","19074705000","-20918089408","22212884772","31038159264","-23885983810","-5596296750","5992439214","-11314884960","-2557254726","-18154477040","-11892465000","-10394043228","-46498121826","-3312304448","5047388640","3565156250","-16648809684","3430140372","15218445190","-33922505414","2448225000","44570219252","12788204958","-1253973312","54597920468","-4127522000","7013188494","36402256938","81157761360","-5685066054","-4289543000","50711742490","7178975622","-11749040400","19744626856","3395317500","-32449892384","23099415492","-4318495560","47781008980","-8376062500","25946226882","-15598435320","-4163677114","-15557917050","-507707000","9319722136","11847000816","-32266258440","-2299712040","3590976375","-24398974111","-25230582260","1918147716","-8137788814","16652570750","40746045600","-52046779324","-9693523905","11127039768","8286567250","-364572720","-588305187","-81068922480","14048489572","-3588468750","33081990062","-18178540474","-257489388","-9263576784","-5539392125","-3135133026","12321226736","-18577791360","4265102790","-1634642250","17253901444","-31186023840","14380890056","-63551987040","-3914001000","18252005552","-6394401000","-10797915924","6985979520","8731279000","10399286412","-1245342558","26999950172","-4491070110","-2208984375"],"space":"15.8.a","level":15,"weight":8,"T":[[2,1],[7,1]],"status":"proven","derived":{"al":[[3,1],[5,1]],"fricke":1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/15.8.a.b"}