{"label":"61.8.a.b","letter":"b","dim":19,"charpoly":["21814786220227436998967371978752","95933493568065711362985882624","-223496925835967520364397856512","-3484954022133273395794671104","736159171497289498719988736","12181494901509568072952192","-1180482471443915394800496","-15794644321086717819312","1087717855071623089616","9304518292983566192","-603737436766341432","-2333402261158404","201579711896603","6585808481","-38942725392","111307486","3935214","-19452","-157","1"],"traces":["19","23","134","1317","429","1","1017","4479","18249","5029","21895","13639","4293","28184","28006","30149","-3512","-52668","62964","128631","151802","380355","194883","643935","594054","412571","544388","818132","343584","1287286","376400","1182835","545950","952570","1101957","1334624","630086","263947","1043878","78765","1584539","510094","-93664","2646833","206061","-559318","1752508","-2563869","2287550","411602","2278880","-3538347","127548","-8008280","-2282221","1035726","-2815944","-5418817","5826729","-8433754","-4312639","-6139425","-10627967","-7157059","-10672623","-15073362","-10206319","-10901542","-11593480","-29382493","4358512","-23635494","-15042353","-10739915","9338192","-12059835","6632395","-41176024","3473903","-6140121","21257391","-14428970","19386052","-10704930","-1181128","3163940","23797004","13465595","10913876","-18268219","17042997","20668398","23643110","-43306680","27353940","24794935","55835432","16445433","26225127","11524634","43675086","-16338164","20200812","36334047","89297138","43621337","84000766","-5614112","67819331","-7131531","66122144","29621988","28059523","22841540","18737559","45863973","113015077","-89837917","57861460","42102174","140126540","-5220563","47741230","-49381167","81805215","-4775625","116104182","25062759","83444288","-122482435","90944264","7257990","-21952062","22071031","37351324","-24723010","114489663","-246481299","70025909","-272887767","87006788","-251790319","-81143165","-418981860","61480606","-340178320","25279724","-138054169","-45338753","-504000635","-64420957","-328823799","-155119708","-258098807","108680844","-131541412","-17568958","-145303539","-138004324","-217602887","-42762405","-344219253","-74969286","-35349398","83608734","-269750341","55481196","-426768538","119401294","275079144","114912020","-114747544","23177620","-292991688","46474536","241734533","-50109126","-12454558","459440694","-143412593","168383922","456103223","-30415454","-184084592","-31299588","-212593963","-4157060","404621768","-227925562","327894356","394294515","111357867","-89296584","-85986307","-22973738","304108863","342291669","324560165","-81893066","850919082","-252920802","312702205","305107962","544957892","-918301531","1052135906","7968787","-633940163","461049764","-394493730","-2544132","1101101703","-741870152","242856331","-48499092","673786416","-316449880","1534123661","285533582","-116163237","638828032","65730917","-396853061","1258801222","499381960","816522344","909627177","-280154484","-115347163","2238323817","170011866","525565109","-92081582","861417551","-169051932","1685946933","-1969467202","623376258","1059018122","-399264522","-596246405","2414361472","904405970","-298933977","-89008242","-948782669","-892026628","1510452045","-513350472","-304558097","957467412","-1760305287","-1748833615","1320962748","-3058174568","-1055180475","170731136","-1174232568","-1863437136","-358918329","-1673877382","-309449188","-264482248","-982730058","-2210909314","830969347","-1525092184","-2032670279","120638898","178445560","-2228602274","-120832918","-3544315946","-981571334","1054325800","-20385401","-951240280","2107944293","-1387472288","-2774822745","-238954884","-1557617534","-1838870682","370593455","-4093668896","-1020986439","1676837705","-1014154610","-1338786003","2812741782","1400308460","-1447147188","-168991986","-674032094","-893318475","-112039005","-2496574640","-2059263727","1016811231","-624617681","-814886008","3741142108","-1080189400","-708891927","-97374849","550531924","-2115393623","5162902295","36248776","-550739796","2194807629","-1356130372","-276381978","2325963169","2331623685","-45908041","-1010993250","860440571","1701613614","248699847","-1240188436","-341435617","2899193192","1015231625","567296212","1569571707","-1290638222","-1181623860","-1625710256","996706550","2824135359","2892513377","1962637374","465573694","1788448581","1619953718","-1854414374","3282176646","2058767118","-2993420708","-334989192","213888008","4369131291","3660336780","-5709067114","141408739","2212111016","5604580544","-5417591160","2369250251","8470795324","3185668555","1526016457","3968078822","1051697332","4331363086","-4242130276","1420835609","3052603116","3503278581","-2690845043","4071178069","6143677436","3601193313","2044653693","-226981","3598176118","271916022","2528756443","5067683072","3897610902","3771776795","-2130460420","3369400232","10711032570","-4912082104","-4862725122","1653653863","10586099682","-1232742168","-4937644216","1087759064","3762915305","-6980930777","-10229117869","505799042","-2013955456","1590229707","1051399096","-4132753814","3743784084","1749305319","1485183216","-4199456179","3854099235","-9942922065","-1194708094","1316738532","7389221112","-5460140430","-4576359920","-11842777408","1631936940","-5554216929","-10195733847","-15699030885","1750780280","-11409786212","2771335082","-9118149735","-3075806994","-3668978918","-1341071163","-7500620168","3625116380","-8607775925","-3476742186","-6338101350","3185072212","-7930257778","-5570733870","-20089502938","22990326892","6622375219","-6602948192","-11322383136","-230839677","11751095321","-12298237602","483467560","7451640150","-17252355408","4723043616","-8907146760","6535658252","-601199717","-1926990528","-3119142946","-633075632","-3920392023","-12089828216","-17198938128","11367904116","4553495391","-3928736140","-19704184535","2404769034","2333041776","4077298555","-15976318423","5579779671","-2341610272","5033808084","4938441129","13336939173","-5172016044","-17122694980","1402242303","17771844824","3840867759","-9927307674","-17201802000","3998813868","-2406483735","611779144","-4996587774","-286679533","1422170537","5330427193","336286356","-302107184","-8042151721","6487243000","16064361674","-4836368000","9497464802","-5015696868","15091516684","12606702278","-6523646026","-6349217096","-9564759354","2145187834","23082802200","13792778874","-6862582058","12779813876","-1016647899","-1826796154","2769442950","16853529308","5201447165","-8154796572","16361297452","13241938723","2110415773","-4751077226","16962107824","7340913917","2029529709","11156482848","-10628639146","7006682530","5592911019","7167750524","-9094700895","-4021930872","24145203512","360190534","6014994344","-6018955059","-18527922373","-4033295658","23224019989","4676240412","26707965704","-10255392220","-15407316314","35540782756","6842537117","-2650158212","6007348282","1349217723","4409151928","-9080533848","13105312432","-2568423120","13155076670","8015854718","-18731171214","30841955065","-1182406167","3644143325","34812060686","12585893286","-6463727781","3329521722","6145591334","22128999534","-5002092784","8815674066","-24911334998","13289520712","20904761942","9131076255","32167169844","-222061153","8114342178","-4142176269","28553254014","-8623138800","27922823","3032995959","-3539948473","18486438160","5595088443","-35524491376","11151365345","14682685748","-51799326339","-16190225616","12301233180","-7155795010","164916286","-35710797743","-14139162123","-21869088107","-9332606077","-5291990703","5224855468","-1169226994","-43004276845","-22145051508","27772853501","-8407301376","5297923820","-11001646010","-37035642107","2334926464","20174359558","-42812732930","-6843280941","6335337850","-28707061422","-44080667639","17977829066","-10598406136","15597355134","-15861245064","-26091491433","-8616880282","-12176812981","-56114069298","24457027110","11190864932","24558383","-31808562564","17193756947","4272110965","27165953159","-22060890241","-40539361864","-18306129231","36043994656","-58441659462","29079069497","2809869718","-24142774735","-1232334258","-1141487449","15212187196","-33189611968","-13686555418","12333153907","-5275762802","36237314805","-36600619010","15583597424","12353184132","-3288558600","-23662589686","27822060630","-10755191332","10319970532","-21026474851","-14833437426","-5569385560","1123992787","-27239267584","-9987428009","12972823677","-70731746247","-18599712424","28922193406","-21152657490","25414632201","-50481299042","-43867120920","33054800032","-29291119355","-6254254298","-1000649568","3462201548","-27847112751","-52028562872","43716538482","-25175617497","36014984091","-5321727873","-58986928390","11438616488","4566716789","7658713528","56297926472","-9823702072","-17072619458","-20835049827","-1220095502","27415761158","48902132718","-7161519972","-35188893901","34095225216","8694451057","-717085176","13097439077","15555294798","-23789272314","12950028798","-6308877169","-4969748995","9255898790","-26904269524","37662502094","27367236392","73894519862","-32378528444","60242124706","-4359465926","-73175678256","8999572318","-47706137100","30817484498","76647631372","-5011241551","18781184227","-10962550826","24634766904","6486875250","108678287718","12009099256","-27549962995","-4549276605","50736710544","-12869240271","16825605480","-3502741400","22504040772","-5677393068","-6810647335","-7226651496","-40831768138","-10683826816","52321075657","7289288672","42609108952","1783332480","10919379574","297304854","-66533731104","10556659591","1546037606","-12645562950","148047207110","-17827909485","65853861747","-32534357968","62431798669","67434386978","80857983087","20020838916","-33049806324","18617875638","67207836307","20806291806","60879969451","-7177704624","32848955739","23070430773","68812805153","48195191896","-3095793859","12687876697","62298323182","-47968845564","32383941992","51000266975","33125365950","64149761841","33699014748","33594898596","12811465588","-6937243149","90595287427","4496988443","17658883819","31236522668","34370452020","9599911204","-62396583058","17752590638","-120168599848","70332829932","-19058678050","31358927943","30209240673","-66104184621","13260047327","-71130759162","-67052410364","40882267978","-71850801966","14290409899","7499971236","-108391762880","-38106754464","-18508485987","41620037747","50278866848","-149639885721","5753161316","-101727791674","70190703542","47526382480","23335790252","-63468091281","-61505203802","-21987641743","58575657124","-74151042846","5409342308","-89854722048","-67801485832","79594647539","74242759104","-128802132540","-73840005344","-10802977881","48244126032","-122023177951","-9917911931","-217648570295","-974429433","17105149459","30644550740","13713373684","2407845169","25210467741","-99293069416","-3892864646","-90765760428","-96994168182","34185640555","-16523352260","15187719431","-88906748802","-28081096108","-99865226925","95423242575","-89772875371","-3559864969","-89604864843","-13861394504","40269995020","-7926253398","-38159866828","-11037812936","-42583312770","-35033101091","-177888917109","80829052746","-154613956709","32691657004","12484688022","-82600854816","-74220869227","5060731016","14854400352","18427387455","45191175108","-60656510284","-58854732451","138465433488","-86447363364","-7823540460","-79121225246","-26675090230","147741966458","23742566394","-76451874866","-29250397757","-100213120841","46536419120","10686615614","102042905136","-71599267618","-63495961602","34854030027","67081653210","-58821902274","72874363344","-188439416032","-41837817999","-6397232504","-20995542172","147444571877","-33633671141","72016364810","101040619286","-51366667452","24197360184","-194358085752","-11051097152","41055536704","-6109165502","88602299378","-44051029166","38704872180","100268001885","26050368744","-83787797723","-29657964207","185173997288","-56101840892","149275407483","-101560318658","-14646893114","55840908120","-50173199988","-96069725457","25854955369","-169748146008","-28002816903","195045887660","-40549513070","7552494853","-37438837688","33224087631","-42365615094","23119947732","45136336443","-199425063141","123207336932","158909437852","-10282788226","81366542406","-48345437914","458346170","197809897392","-57966693261","23339045984","-136343218715","-31472661792","109020786306","30826654944","152625457079","64310718724","50220130467","51009317374","-61389828937","35445377834","-107480036516","-25831332960","-45860286004","-6356829886","16109108293","223247632748","-40602441098","-96846394840","89831093613","42883762334","60940407156","67592108356","-271618580","101612916070","45901006360","-61176528092","102332765685","247111430517","-225413325528","83186560024","-137108322022","68985324490","186206244557","110376245196","242260925411","-71945926287","35371088851","178471772452","47965264556","-20329090614","31584612124","-10566121045","42257379273","259114521788","-69417176460","55428754063","-153986571942","80698607657","13749010357","27353624516","16673931734","34950671342","148519560937","-32267732465","-1869037640","13776339040","97811145678","4678227321","241645510342","-5242167967","-164058706406","40896769414","147717614062","249999982200","114285425823","39645005078","253542497136","52565851116","139794472534","196159456362","7088521150","-108638260023","-157330456344","-238743919704","-6843250169","152833052724","351132250823","-39656184292","-142741760730","94418927243","78781981301","-56950252668","-7255980107","-36128240307","-41459236818","-112077382776","105258446072","182564349840","-61007296803","-57528426984","81047285085","-72073671178","53900074525","-8789542770","-143915687376","-14047158362","68789350061","-160417377640","213398326655"],"space":"61.8.a","level":61,"weight":8,"T":[[2,1],[3,1]],"status":"proven","derived":{"al":[[61,1]],"fricke":1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/61.8.a.b"}