{"label":"39.8.a.b","letter":"b","dim":3,"charpoly":["-11044800","-64344","384","1"],"traces":["3","-14","-81","340","-370","378","48","-888","2187","4460","2920","-9180","6591","-49288","9990","-18800","-43354","-10206","-50756","-130280","-1296","-73472","-18408","23976","32125","-30758","-59049","137168","114554","-120420","93248","-261088","-78840","23588","-335240","247860","-363262","716976","-177957","1368240","-556398","1330776","1393420","1134272","-269730","2292528","-938604","507600","1260339","-3040450","1170558","746980","-1293270","275562","-2368480","-2250912","1370412","-286132","-5846928","3517560","-6300502","1417912","34992","-1979328","-812890","1983744","3619508","-1398488","497016","13513360","-5742612","-647352","-6208602","-6017828","-867375","-11091776","5560592","830466","-5789976","-5970080","1594323","12024132","-1217504","-3703536","-3440420","1738536","-3092958","-12589824","-16081814","3251340","105456","1559136","-2517696","32060184","19608480","7049376","8275742","12522594","2128680","24362700","-16193166","-636876","20748040","-1950936","9051480","-26049156","4838964","-6692220","-14248270","43230080","9808074","37971392","-820770","-19358352","-6843120","56654200","4804839","110976","17447392","-36942480","-35397929","7248076","15022746","-36239664","-26860500","-35930952","-33907512","32776320","-37622340","9798620","-14872196","-30625344","-43389496","22715440","7282710","-37806576","40111314","-61898256","45175468","-118841440","25342308","-71285928","6415240","-13705200","-123306860","106270292","-34029153","-76875624","-34429530","82092150","-36254152","93616704","-31605066","-105568384","105518840","-20168460","176798410","128965904","34918290","-3794240","-153703392","-7440174","183865260","-153214200","63948960","-157823360","28547884","60774624","14480427","90742360","-37001124","246354832","43719450","7725564","239715200","77225984","157867056","-3278108","-115761020","-94974120","-31728270","-108285736","170113554","-27933504","134067140","-38283624","41625296","-259933200","-944784","-348757920","52451336","53441856","-37096298","92450020","21948030","353559924","-9366258","-53561088","148930128","-322739400","-97726716","312818364","49451344","37759176","294011820","-341816592","-13419432","-41303600","-188416944","-364860720","39859532","288456216","155050524","-166564968","-392939880","17478504","-202140680","-14576468","167632254","-494151680","-95248738","162481356","9134144","420917632","23419125","133821636","-511648088","299477952","-56130390","-296970720","-150135984","-643320144","-69447386","-22422582","499656360","-699275136","156329352","436502512","-569451996","161192160","283602542","-150957142","-43046721","-710504712","-682245570","-324651564","-111510932","642531936","32872608","944883000","374548188","99995472","-64935168","1615986944","92891340","-320782080","-911363506","-46940472","495968560","-286225160","83509866","-443349368","619892400","339925248","-928063740","1193141376","434208978","1065480960","-433161542","-87786180","-611209448","641771296","-2847312","234765252","628297400","-42096672","-576008838","336584280","67977792","1326688320","-79151566","-865624968","58574644","-291667536","-529428960","-161417984","-822923784","-190333152","-247038407","1654081480","-223445034","-1276775608","488448486","-338110038","812679360","545704176","-57474360","383794956","-40442376","-657792900","-438418144","1134815896","437215482","-364271744","768181460","17195652","200855316","1433173120","-560197080","-1833195760","760680216","52675272","-51829970","-855162420","-244389960","-2026041568","-1588000186","703327212","1014685520","1888695680","-130652028","-667683264","167133816","180689940","70578625","874591136","384703290","1502295312","-2238317088","-1167212160","1797116268","-232926976","-264817998","-2148568280","-2084581120","-1025227584","-502028474","-67575326","22160790","395109680","-995973680","522675504","-1028383056","-1584597600","184764240","-2984424084","176838276","-1529663400","199581290","-1628233400","-129730653","362064896","-1579008278","-2996352","-189649080","-1391327992","-471079584","4159101496","1917379596","997446960","-857420905","-2252392996","955744083","301358096","2198562700","-195698052","2816767952","-878610048","-405614142","-401407960","2941925856","978470928","-255582262","-380801536","725233500","2649080160","251675138","970135704","2369133124","4764329280","915502824","119584496","2562263516","-884960640","-2693238080","396918084","1015803180","-355394328","-1894515206","-264562740","368834352","-3175927992","401549292","4083147660","4138707760","826884288","-1091425446","1494759152","1171516392","3038492400","473602594","-613316880","204865856","-1443612072","-196633170","-6014544944","-671468720","1020777552","-846217546","-5679599400","-1083005478","923018080","1808091744","1671252912","387516800","-573610336","-1219737636","3682224768","-2593470212","3208718880","-1005769782","-7825845272","-684242316","-5964242832","1848789850","1924720056","1499627440","-2226040080","-173211480","3683328240","-2056225764","370040400","153195086","2291142368","3329285220","-4770264840","929628864","-2869297884","912396696","4118622720","918787131","51822836","2134893524","2075641848","905229740","-4376274536","929597310","-307070208","-6377499710","-2216488050","-2962777728","-5431068120","978862104","-374537600","-736522280","-2527651008","4678548486","-5843718436","853336782","2701055040","915597526","2850346368","961751816","2458046560","-2849008680","-1266897932","614435028","544548420","-1810849160","-11752329840","-4773557070","2026019328","2751868896","-3482079408","-4808153900","2818624928","-942793830","5347292328","479942844","102444480","-798086614","1581469444","4149991584","-1610590716","2212604540","200884698","-7937648312","1637983920","-4964362020","5936204940","2012894508","4136783400","2509170868","1575196272","-1726621920","-5209112640","7508965392","4261230720","583376356","-2631978000","-770792868","7163537640","3054843472","-1640914848","1018123620","1796411904","-390971529","-2302600000","5532611830","-2450043720","-6524409456","11661050368","999030348","-3165450556","1012141200","-6651580464","-5688376032","11494736528","-1180425150","3006023280","-2015671914","-208590228","1888575996","-4642089904","-6472310400","10057281696","-6048647680","-2085101568","-1115844597","19078472040","-4262410512","-11836491328","-1222406406","88508916","6339334440","-9928303296","3125547540","14349662572","4621247688","2564301240","-6305056238","6980982120","856663290","5782944832","9645938900","2923714872","-5162251132","9666402312","-4593065958","-11473369600","-7730356968","754204608","-9487519200","18805644956","-3619812780","12097284784","5055881118","1033657848","3061343740","-10926148480","-1123882992","-13290671932","-8092964700","7018196400","13446347100","-23156313816","25509168","-4113130656","2352752134","9416463840","-402308700","2491995584","-1416186072","14829438000","-6409411800","-1442930112","-8770538010","2573468918","1001600046","-19901920240","11610468416","-2496150540","9673507632","10479997392","-592596810","-12613173396","-79849592","-9546117948","5698768040","-5082804480","252888966","4005508320","12727138594","1446149376","-4254979600","-11789812968","-4021113456","5036684016","-17921358256","8713963800","-5600813746","-33474286752","2638621332","1432942416","-1637191850","-8446095828","-17228536992","-358159104","-1335186288","-5254651960","-2062112988","-1019497752","1011289778","16196852288","-7938319140","-13524504576","-10506418766","9229047984","356305948","15001689760","362324664","-14578162416","6029120648","1115197200","-227500625","-14683628652","5087257488","21868075000","2685712580","9851239440","5669409624","21707221056","-1076207364","7521125756","331298080","-7788317832","2768964783","-17795335936","-4186364148","-23702672640","3074872454","4497254136","-2463954588","-21351658368","10609376760","1230624096","1474172248","-471919608","-4938316608","-6679868650","5457798360","9635978720","15598262586","393564636","9225673400","-8795379168","-4526070858","21785050272","-5207668388","13342095360","2505552610","-8158209568","2571715926","381545472","22648908960","-4386996612","9739723536","-474352240","-246621888","21186287840","-4817253872","-11364776064","23901838046","9232216164","-632316375","1641115060","11338849402","-3613184172","-11244606512","-9374474400","13814498376","16300460416","-39453646440","-8085904704","-17748195540","-4976436368","1515520530","-6758032064","-2841314190","8018209440","12444051940","12643607352","4053671568","33094976568","-23015137080","17369643888","-1670152092","16102934860","1875079422","49345182000","4850542706","605409714","7096684760","-15187736576","-13490721720","-13679910956","-16753688976","18880428672","5786084954","21688575120","-4220892504","-1904281968","-3897670368","-11785567824","-5203550560","-16750936528","15375203892","-11863376664","5562145200","-4352188320","15828782144","-20904305926","-7657268634","-5510725864","21076171750","4075842834","16463204400","-4945253664","1162261467","-43203240200","-12570132840","19183627224","8875506466","-40113319568","18420630390","-16061754624","15065696176","8765592228","-2223678492","17165540560","3010795164","-10033786992","9327726876","-17348362272","23965807620","-2248669220","-887560416","-917721728","6282525216","-25511841000","10464425760","-21732194112","-10112801076","-628632004","-9383020360","-2699877744","10303511666","-21158463840","1753249536","-43450611840","-4860690430","-43631647488","875760736","8530210144","-2508066180","-61736404120","-12845700816","8661116160","-27396324410","50702202880","24606814662","-13880880536","-5400467066","1267392744","-27906210000","16705306128","-13391151120","-13602205604","26381132208","7728079320","7445670528","-33692777376","-2254766382","-2484095472","-26382441900","11970432936","-8912992780","22880006616","-16737094800","-74902597280","-17379582672","-9177981696","-13842202894","58092663980","25057720980","6641899040","40242932962","-32214817152","-4277659992","24218149600","-11723642406","-22811793548","-22407475984","-28767985920","28786603200","3115152664","11695361634","1208591472","46560157542","2370226860","-5626220412","38575440224","16502655096","12230500096","5328494800","-17327824992","-31404055792","-11661293036","76877424","69292782000","41590374086","-6338661804","37129789960","11896611264","-16964029800","107239056384","352775128","1136610144","-10163776182","24297873920","15552238626","-4348583616","-45582330","-9087775560","5753542040","-46808449920","-1835400384","8333641000","-46673527020","-35820584640","10688526445","45135549980","2137092282","-8869941744","-1785919330","23371874136","25798013360","59647153632","-1581515388","7074595900","-34185761328","7875023472","-30712366574","109518814928","14294581920","36258185568","16161162134","4358285568","-42447604876","-79596176160","22218942168","-25991478168","-42058590692","5138995104","-24613906380","71536020868","6670036989","-54052362624","-40111283584","-44660199960","7952059076","47745393456","6033015918","-34567251072","-58817898000","34472941416","34061573802","29244495344","-13188109122","-20846597120","-55140999074","9128971026","40281383036","-3072478136","-21942342720","25963585688","13180686096","-14734012752","-103190279088","5285202200","1551807720","-38463086064","50637784176","-10362463812","23355578120","42645530112","1091944152","41596240084","-53247717136","17760408300","64045504788","56381072256","11837289888","76015544208","8700291460","-30640029192","-36689911436","-93677595712","-11804818014","29688851920","-33328044856","9835337088","5977438336","-90353118028","-20740899420","60167297624","32245395680","-464282604","2102911888","-49278199680","-5423093532","29582413372","-12616518564","-38695674240","6916734750","72328345288","15125321160","-5382734144","-10808983398","49496285520","-40600314516","56960011016","-20538365832","-69552395976","8954351680","-1422232344","-40312852746","-131733670912","1399409190","134365017120","9496507054","23089385340","18755383344","49509998592","6598528920","-55287148032","-3493052088","54703122336","-13640298594","108414046800","42876005022","-12798592320","-55042182426","-18989834724","-12933311600","-38622700080","-27396509040","-133632240648","-22058038536","-50994783360","-17377920069","-13221168116","3527604756","-37642718424","28766793660","18027448128","11625225528","-25667836824","-4512613032","-56555268520","-51701832876","-4878628380","-28224120304","-38913368760","-1905622875","52513969248","-69610888254","-23613960672","-2209848032","-101982834600","-10386988830","85530780936","-19077217100","-40561973424","-58698617820","-65864583656","60434561376","-24368631872","41319760608","31514728320","76684946768","-30529032832","-48522139236","88997485344","7224072880","6289028352","4477085066","-124725817872","7150085946","8736012000"],"space":"39.8.a","level":39,"weight":8,"T":[[2,1],[5,1]],"status":"proven","derived":{"al":[[3,1],[13,-1]],"fricke":-1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/39.8.a.b"}