{"label":"19.8.a.b","letter":"b","dim":6,"charpoly":["-3813684864","-985214600","23057000","463630","-9494","-55","1"],"traces":["6","15","40","357","219","925","2105","5835","5916","8212","7257","7025","6850","8859","3650","-9159","5415","-58980","-41154","-67620","-83290","-223870","-720","-151113","-53567","-106527","199450","91615","381624","-137776","264080","259155","496430","297463","739767","-147282","1082300","-102885","1129528","-524232","485232","-1753105","198705","-1729290","-478705","-1565713","-247125","-2937955","-538861","-2396859","-72176","-2647795","3226770","-1217249","-1490553","3718965","-274360","1048405","2305380","647440","585731","2583780","-3209015","2380137","4809420","2420402","-3264030","8276595","-1867056","5936880","6833682","3040530","-4160625","20750550","-11237814","-2448663","1659195","-1839095","-8680576","14904048","-16541142","-9240140","-3785040","-18290321","-16108227","11192544","-25742220","-24666570","12473466","-4688908","-14289854","9179655","5742820","-10757712","-1502121","-8195689","882830","47239200","10726225","-37275901","35635260","27832975","-38623250","-5583117","4233174","5270513","-5990940","42920315","32195350","59350944","-25397252","58409215","35109000","-6344575","-2743700","30819753","95261690","10936925","-59709843","-34656312","52894985","-47096310","-76439500","-69476564","-14825253","-112588934","36277830","-58039125","93889730","-113443560","18890007","-25656230","-14438195","-44849823","-72922480","85405065","150990375","-240833325","-90657307","-5048628","80829618","-53380470","-90833160","-148844106","-47493034","144477669","36214540","248741650","3917157","105120375","44374150","-40022265","81414365","-66186370","96837372","314289281","-22288760","-183968250","24939728","-2785432","110842194","35145375","-244265380","-207455352","311865714","303765898","223547490","-209406735","240420152","-100387224","-40577844","274046460","-159290760","380002365","44752244","-470379126","-68415850","24622960","-250351050","-123143708","-100271276","-510605505","-486307290","427569105","-101469474","742973668","-317897615","-246329340","30728852","-56326108","-160552779","-72168155","280278630","271215162","-673254012","274901662","13155540","-139463420","-440419691","-384823023","-64258846","-46459890","-71735700","324124883","472044406","-513181914","234706360","-246260095","-49775763","232967760","-85446208","788709165","306695580","-90975389","-88998573","746052117","-316680000","-617531145","-38776676","-330705804","304261752","960236170","52276870","783603141","-304760053","1021434154","-25425870","-48184475","366331181","-277572384","858427622","674726655","-523631025","166349066","89484009","-327519","-187857640","-651351455","-120806631","-551879576","238404244","21270855","-223279550","-813643190","359837592","-402760168","-46984150","-1178013420","-266358544","-103985928","1000047555","-1052104810","-817104380","-178653846","-523638870","-56575167","706344030","-1498187080","36333582","-396889944","341614664","-44498600","215156415","319389534","-728230692","-60763881","46331900","-636371235","878983470","324693872","482284392","-102698325","-890946050","-501985053","1262398608","-236097573","388800225","-946955700","425294428","-42200232","1070676708","720761280","-482101255","786229890","-25035350","1133003410","1623813090","-1213696230","-436468261","351602568","767140812","864769065","366050370","156155098","-125918994","2010527598","-437205820","156141660","1535498958","-657772197","789677167","-109586730","604093880","62821581","-65554797","1270688822","-237320160","-2164578870","-505130160","-124113520","391786683","2002014855","-1336992650","649581654","3648051","-709751498","-298821720","-2484989095","-1137657862","429226152","-3548430190","1441782805","-37141485","196906197","-1973710478","-1157068956","-1480486440","-90109800","-1999177551","-640669680","669850798","908980530","-962427980","1714453796","1837070856","-1131919733","-2886734570","-2043248250","919667560","510824052","1573890756","404543820","-1508654765","1949067840","-3170323756","-2043821926","4415874075","1636757685","-2903974919","280736913","186733672","1859827030","350828130","3195103361","-1986237786","-1783571100","-3787420490","3146423480","856692129","38868000","282275286","1116773910","-970141710","-5166749749","-1072379847","5966891550","394530040","2429311995","-486876736","2104409480","3327644922","4276735340","2603218570","-3850668642","3045245346","-2532791088","188427390","832888685","2102483528","463805580","-1718149748","2609501655","1676369280","-3202863249","1465623141","361308018","-805057755","3435872830","5507296911","4139910816","773223224","466075110","-5007525690","-1484456292","-5077572576","3917482376","-971221595","-6547481385","571286110","-2088995965","425725086","-8122553515","2454170700","2797605714","166215695","-1439758789","-2944784790","1351223685","-3594957006","609128664","5209185288","-6775042090","1459354530","-8397457502","5083216972","-8882122317","-991804830","1535524330","-5147381556","370651728","1357717134","-9482856015","5547539715","9233715891","-4057780932","-1315343694","-2031491645","-1374521985","6826169884","1685672960","-2274601080","99603575","-5152561040","-8780265348","-1092405680","-2245085821","4938480","9128925205","3189199154","-10283520912","-4164261989","5903805215","1122434175","-1047619462","6212102968","-2034130590","-4484844030","7072331135","5812481442","1655298620","865551738","998589750","14151960080","-6412364787","28024272","1036484067","-1179832795","2657657790","4812284086","3530694584","5989238721","6421893350","-333891105","1102295349","1569535048","10199517958","3465640515","4948413790","3681356476","-6682814256","-4513216876","-3859355145","906818175","4460800382","367416053","-563154603","-1879830110","-759891585","-6099331812","8815192072","-9532808928","-3980558340","948910570","1606660441","4912459500","-8741065112","5610483210","-3226449510","-103055804","-3019066252","-3445652280","-1943542520","8729206870","730668693","-5690333337","-8682045764","-1471528950","-769857910","-11756198461","758429988","-4228012","10512992750","-1051219140","-4510788714","-4624997926","-10755763242","-9196277270","671374530","11001994638","-8033695872","-9235709191","-4623845565","-1368027550","6103887208","-1139821650","-9883604936","-1875492675","7104191430","-14020086572","9058559208","-8099033142","5698015730","-2873792940","-10789838964","8077714376","-2998707368","-622779720","8895318970","8008159416","14932286568","-7252255442","-628387285","3416998380","1762583300","-995429222","5220436611","-10846783700","7629350270","-10784636634","2420211592","6915601055","10761831135","2461931940","-11415375655","-301270776","-8047425533","172803120","2240705055","1877516275","12023105078","-2617559016","7421624925","-10332813340","-2741925420","7532470420","-8851014680","5618614065","23857199080","-8187357064","3439264464","-14975489930","-8832786980","3329985510","21549001800","23072177946","16132262826","671465005","10733783430","8067675138","945005584","-17394909304","18140717850","31764107550","13461941256","-15390679128","-6121907586","-11668118295","16499660970","-438527072","-7310534240","7643267280","-32182252890","9760376840","-4145627613","8971683528","-19532349889","-8767262505","-4676576950","-1811324720","18578982720","-15284160284","13761103450","10365104280","-31053824794","-9734763645","6986364564","-5453809330","-37666245805","-3796696476","-11398759755","-7576165124","20065112760","7790268180","-1158317530","3893884248","12191099234","-15704036600","-1777544145","-25340960710","-299977208","33744834180","5278724830","5052854025","11305344588","-7461735028","-38545128006","-10634822055","-6536930370","9467441884","-20049548880","20976827088","-17743433465","11409916800","-35422350259","-4830463856","-20488844631","-3405013370","23340426770","19558539258","-2945622096","6601538389","-14741362470","-17463186410","-1913914349","-7804439742","-31655163071","-7742352810","-24797968470","18559609650","17758797480","18911756634","15667241615","6689980125","36372207705","7223537314","-2040298717","-22053783435","-5083267125","29405757818","21262548195","-14133746148","-11228652620","12271791645","-16727165961","16161931757","16771624776","-11143344135","-45763375680","8756032128","-3823552728","22493160846","-6840557445","24569782520","5806948062","-5074061853","17442862624","-9576534690","19575332940","44738599352","-27934679248","-3370333101","26141671105","-8351479540","1849303752","-15231211398","-1151661020","19537408800","19065464710","32728545184","18526452696","1754165346","43618981080","4743823800","1010207238","-13288910403","10970687697","38962000250","11384352120","-43624395954","15127084928","22060717263","1339912710","11628792175","14979928210","-8597613321","-31044781437","-30918420750","-24748636830","29245343474","-22047609527","-1717571616","-9952292165","-7423495700","21916062066","-29297926074","-45139226171","-18728000130","-20755000955","-3331366348","12979166304","-5567189384","-8804779020","-66760726380","-48856236899","3971658828","27335156568","18323174190","38787610905","-14811869655","12945272968","-6004117378","705688215","-23573827820","-32606342638","5951926242","1213866765","9185152435","-21585614235","-15940015674","-11901172952","-7865947023","28679276790","-5088138720","-38304216636","-5239254164","15914437441","-42497024580","-33121373620","3997013057","-79971048","-7747432552","67808126495","-27959773980","-16584264924","-5726851095","-3102131013","-30015704200","496335530","15951432078","905748624","-11925379112","-37271305320","-3017336410","44419698757","-3316569594","40769377909","16803323395","3386429805","48644745052","3595707288","-41311767981","41627259250","37546329650","-14588285349","4989019761","59636169498","-65116935240","11352144685","-20811943199","12260606352","63020205588","29481655710","-35161848900","-48245200344","34621209220","33364646202","-63172502760","-17430557730","-3328206288","18681027528","23679912702","3978247005","25701405240","49092207322","-50922577230","66314571456","-960315950","-23721981000","-14385217166","26095894128","25864029150","57013227540","11993202860","2905648896","47100115044","-62534573173","14013560010","12024547195","23287450023","10836685161","13547284670","-4696574740","-37605773115","16080673273","-29609249556","92976106260","40686662960","56022271950","1060041993","-22821673804","18251569018","-4844881905","-33401864160","-91517497260","-22436584788","-16840974409","-1362917595","15337228740","26251652528","-27720035320","-12811819875","65072479035","-48558033255","-77306590878","-31592784616","27319033247","-36265396470","-52893080590","36734836150","-35456203824","63236602174","-48894574055","6359117580","-37998782220","18427041030","11861200110","-58251478700","-46840035140","26567943594","-43444993032","7939461492","69105906405","9063745020","-45663391835","-11160546411","49028041248","68698233910","21873844065","-43011349386","-70883111243","-67054646580","14186701650","1164663120","-54585514110","3283437595","7052141385","-17927874840","-168002635430","1412267165","45352877652","31642591908","42457187950","48888360030","23152819829","-53026029382","-32606554818","79668865980","-163780376460","66628420032","-66165686624","108143019392","39649612605","-45791321510","10739225467","-39531098187","21472588481","-27707915740","-71139226620","15431979096","22161647640","-36803368059","31222081690","76097820385","4212122799","102914595360","-41410714762","-94364901450","-97373598810","-20695199026","-4464124488","-36316251155","47077376930","1695030375","-23855176776","-23409776722","3046584333","8532269390","88186987330","57368414340","4069122382","-11759977136","61972185840","40418798350","-5630978886","116340966270","-8351228338","30596947290","-97289692935","114144570552","-29759551248","39579068946","20151433345","-108400525740","75443930253","-11540881582","75383748406","11555382825","43386227005","60263729532","89805753624","9832976808","90465420360","20640078780","45986105734","-12477265886","-16098976692","-36126554830","-46332689185","85767743766","2224946368","3696047599","71903918310","-25871275630","-129532894182","-110050771053","115686376362","44536194575","18091219035","-20171479218","-31703004996","40332013632","54989710970","38473482520","-33131439267","-32367768744","-96618610880","45201539340","-27543865250","-37152190736","16440055881","-9686826908","65817363615","67108902210","-158367287030","48912864291","-2217748029","-90526046200","-71258135100","-13479991347","54383246840","80387766598","89353778610","-82221393070","-64284249856","-65250477840","-693754271","-179143094280","11815869195","495055184","18882907240","-28655427720","-164041815160","10814660995","104188794090","-89641693040","-29038434842","26459112510","-68484209060","19847152524","39516746304","33067439222","-4965310460","-65099201220","-90580167192","-44725788050","72741983547","-50233966650","18161225905","82181473284","42938027040","-80141952058","-139033492140","111506734030","-42157991970","-90411381237","-21342569750","6605100685","-102326010300","43211794408","-42778341840"],"space":"19.8.a","level":19,"weight":8,"T":[[2,1],[3,1]],"status":"proven","derived":{"al":[[19,1]],"fricke":1,"sign":1,"cm":null,"cmInert":0,"cmExact":0},"url":"https://sagebrush.space/atlas/mf/19.8.a.b"}