{"label":"39.8.a","level":39,"weight":8,"dims":{"new":14,"cusp":30,"eisenstein":4,"modsym":64},"old":[[3,1,2],[13,7,2]],"T":[[2,1],[5,1]],"status":"proven","checks":["dim M^+ at levels [1, 3, 13, 39]: [1, 3, 9, 34] (certified at ell = 2147483629)","T = [(2, 1), (5, 1)]; h of degree 14 = 1 x 14 (phi(ord eps) x dim S_k^new); 5 primes, 0 rejected"],"newforms":[{"label":"39.8.a.a","letter":"a","dim":2,"charpoly":["4436","140","1"],"traces":["2","-8","54","8","-132","-216","-1116","-864","1458","760","-292","216","-4394","-1336","-3564","-18912","-16004","-5832","-34836","-2384","-30132","-89312","-84296","-23328","-147306","17576","39366","41936","-107132","20520","9820","408960","-7884","116448","67856","5832","-17020","727000","-118638","35680","542092","-36072","-260512","722672","-96228","264800","1167660","-510624","-879358","558600","-432108","-17576","-22804","-157464","-71208","1015712","-940572","422960","-314036","-64368","-1240028","2312968","-813564","432256","290004","-2411424","-3256228","-483472","-2275992","-18080","-227516","-629856","1100484","-399168","-3977262","-4840592","2424936","474552","-12543984","1470912","1062882","-32808","-2193436","1132272","1108696","10254768","-2892564","8450304","-4415748","554040","2451852","241888","265140","3087440","2886832","11041920","4898660","9990232","-212868","-344232","4074172","3144096","-4437032","1898208","1832112","19314736","-17422080","157464","11607060","6222640","-459540","4984896","-14769972","19629000","5491152","-383984","-3203226","-9305424","7619432","963360","-3644510","-27995024","14636484","-18778704","20004072","-973944","14207880","-33734144","-7033824","-1669720","-25215616","19512144","4747088","-49442712","-2598156","2089984","-61997524","7149600","-3363016","-1755328","31526820","-32730400","641524","-13786848","7065144","-79163008","-23742666","3669904","-57318228","15082200","31390836","-39015200","-11666916","41634896","1704128","-474552","-17239076","20053984","-615708","-27344000","48846768","-4251528","-1673740","-14916112","-1922616","162933104","203840188","27424224","9653618","-9751760","-25395444","-74743808","83137212","11419920","82962348","-84099648","-8478972","52409864","194689032","-1737936","-70301108","2935192","-33480756","43075200","656072","62450136","-18111896","-57394000","-21966228","-54373600","213704000","11670912","123920676","-136033120","7830108","-55299832","109220732","-65108448","-56914168","66453600","-87918156","-302884896","59918856","-13053744","-33642512","262787920","-61451784","41549664","-224099784","-488160","-293045544","-153879376","-6142932","-223326752","26406512","-17006112","-64285760","163061264","29713068","-47787296","35160788","-10777536","144542764","-219383680","-107386074","210883984","392044644","-130695984","-207658540","-26965600","65473272","46793280","122755204","12812904","-69307480","83236400","-338687568","-13323184","271736452","39714624","-599941020","40998200","28697814","258680976","64510428","-885816","76534692","-220649056","-59222772","-113207600","-254142864","30571344","40536976","-852387824","29934792","93520384","5924308","276878736","21178360","5237648","-78099228","739640128","150098904","228158208","20728584","-245876000","-119225196","486716080","84399492","14959080","556945076","201668544","66200004","93419864","33450036","6530976","-852548980","991976096","7158780","-52621440","-78154164","83360880","796557504","268213648","77944464","196218464","-355876336","298131840","-680763706","-40320400","132263820","602490512","-799259556","269736264","10164808","50339456","-5747436","910261352","185198312","-9294264","-84952304","-968901672","110002644","893558976","48886712","84890592","-323371708","-400977376","-119799864","-160925760","-189454248","51251616","-1239554292","-453848272","49467024","190799680","-470160372","521497872","17812792","-8187136","-470396160","89461600","411567928","4251528","323631282","-1399823832","313390620","-430655264","-845506280","168011280","-1098282372","-1242048624","-12407580","-648357872","152443424","134592192","-1065268","-38614472","-398789244","46970592","-918810440","529983000","1247935752","-735029056","148261104","-1116369664","1355688920","-10367568","-455615788","112426200","-86487102","77821440","682597004","-251246448","-18624408","-295637968","205724664","-1130755808","2074725948","26010720","307562618","847712240","-98401770","-92133392","-147393016","-755865648","319209504","727614336","395185068","26239760","-467863368","-507025008","1219159844","788813472","540109944","-1218172480","235369004","-26296488","1263881612","354157504","383612760","-667144704","1450311220","-910821888","-108711136","319443728","-189913248","951102480","11390452","-45082440","658177808","-215614944","-680821632","-1362413288","797780992","526827888","2608881028","2576555984","128171376","1363526496","-564472788","-1334953224","-21574540","2309002352","-70150212","74114320","184711640","56429568","773314404","56505760","-1673933148","-1978066464","439271288","193039200","298926136","-898485120","-90801432","2386582000","1004539328","-47393856","-2815507244","-1236545760","851224140","-1758712512","1171821588","-883720800","1515814024","2274432256","17321148","-743884960","-2325206252","-372244896","-643288004","-1083889344","190758888","-1629487792","1284919056","-2137401216","-735470136","-515516480","-641051982","-255836256","2254712752","99087408","326186240","-225796696","-1547592156","-749742848","-318566196","407219400","-912013832","-1273512656","847552572","-2927731520","-149079632","-1053410400","-2756983660","4045592720","-315006732","61972544","-4263263828","1124142192","-2042124620","1007694912","46011456","-6177019264","-4120020736","-12812904","3378665824","-99354800","-465455052","1107327808","-3554926048","541457568","2488205316","-106758624","-16624116","2729574368","619609516","-738288000","37392940","75859520","1318862736","-225939320","-439750040","-114791256","1843788444","3567564608","-45190980","-787252040","-1235994080","-402735024","856011896","-1597219000","-51910632","2165300160","967965528","4399193808","-700774116","345546784","5503685076","-4497655584","4763910488","740454048","-555483560","3661971200","260647686","6421281952","-7563072916","-263297520","1254956728","-2628667392","-685676988","9167010144","537883904","-2018082816","-3196129560","225368944","2244704724","-78388960","-4333580324","308337840","4917563752","-5211083776","2239983396","-654586176","453028408","-2270690496","-3234159278","-1354311920","-228932244","1834089536","-1190976124","1415066328","856842208","7153711904","5256603864","-5247248784","-2396005732","-46924272","6229816292","2493506696","-1898129916","-3352194560","-556576456","79250184","-2444472792","988571760","-903980412","6534794400","1851921432","1163030400","7752591872","7283602960","17713944","-7841644320","-13412030724","1686153672","572344864","-398436096","-489021192","7262881240","-3506540392","-1549638000","1126622248","-4856297328","-593088156","3193209600","-4687829932","-1468087200","-4217048512","-1587710384","5770008000","-1340203936","6218207976","315114624","2358705556","1883933096","3345858252","124739168","-2630046712","-3672894240","-7493843416","6402609536","211412916","5496231304","-16439786028","-1493095464","5787199424","619976080","2948959764","-287616960","5391886716","-1757928096","-485727968","-5677180432","-1536682536","-581765600","-430213800","1794247200","-7610753908","-4045403744","-2373790212","6872269968","266957820","-8177892192","-8930337968","-8016502400","1617809112","1835648880","-2565349020","-352451088","-5279613516","10165365656","-908347824","-5770359232","-4016023588","7095273840","-16616313388","1239690496","-1659198168","-4765447840","1595315584","1121840928","10154821186","-234460656","-6050694168","4113480304","30595992","-13180320","3281557860","8190220672","-7912229688","-14835558696","-1733276384","-4154743152","1931949526","4776213440","-165859164","2240366080","-2002900868","-6029822304","-411681092","-2083402304","712975824","-7261955600","-2287286064","-459165024","4164860776","-1227244200","-1735715520","11245455376","21009361268","4402654128","2303008320","-3075884352","802252836","-4333197520","15673202232","-1290256992","2552260596","10991653768","949341276","-13235096768","-540195456","-290993472","4517136752","-520662288","3902654628","3135367040","13033547128","-5923359360","4441831476","3613359792","-2899423998","38614472","19308446284","5693867568","177509720","10205120","10585205388","2887556752","3085997548","-3528791568","3937266352","-1276877808","-5606780580","11307612672","50100388","-728071200","-17464140484","6603115376","1767778344","-4168926528","1200483088","1263418560","-3855183624","21275679392","3314390508","-3222355344","12218399348","345948408","-887084824","-7996395776","-1871301960","4807374808","4891317224","2247382800","26929482516","2268376400","-9144564336","-1289109088","-1147794736","-359725968","156443976","3594753568","7336884204","-19005928368","-16977997768","1072294848","-3650130944","-21701834888","-16198407540","-4813266896","7891328172","1106951400","-28338454808","-2231519264","774840978","5651458960","4166691744","6984386352","14114318900","-25727304096","1741781556","-17126822400","24837782648","-23917032","6076817428","-228288096","2066436684","-8789139088","-2273694140","-5957524512","4463991488","-19011508496","-1599014844","-5803374688","17046897440","-3056605200","2167210616","-3593636160","-6861857328","-929243120","-2915133504","825426288","5833194180","-13597888712","1094498352","2692905600","-20777832708","-23014471248","-11713977080","-646554368","808239384","-6839228656","689937092","2525050368","2025574644","-2671949120","159956316","-6025328752","-24038903204","7475725872","-1033769196","8596119040","571815720","31925834336","-4032784976","141416496","13152998296","-4263398400","-2108679156","14529097248","614974440","19970283456","-13458196460","7841125808","4052670408","-2658177280","4446541976","6160271616","2724341516","-31066346368","559671768","-19018851168","-28612261740","-6638652000","-7590289240","-30074582400","-3219080292","9802788904","28996147416","13141334160","-2939038016","-5081590696","2278786284","24606072832","-23401305348","403895160","26458253788","-2270642528","15037517052","99356448","-1296051952","5445050688","27873417776","4733803872","1787400108","489944256","-16531548068","2522336328","-21093904328","-20626863040","903150972","5046974192","46164879596","176336352","5490197940","-11624660880","-23018822460","-949666432","8499475516","26783354592","-13286449528","-12817862048","193287060","26991035072","-37383332932","-1420778880","-28760986274","30097285840","-2110162428","18097641312","-637138788","2250743760","1373132580","18670213824","21507052608","-8304007200","863140336","7241768496","-10890935308","15921790992","2104500528","34483725184","-19710082316","5297898528","-1154238456","5211697344","-9608661072","43515348880","49385770756","8049559680","-6270876808","36468617424","-18380620062","10471116032","13578982944","-1088650800","7153932916","-24287284288","3571123140","-28647416800","-10332489376","16267243824","57273280084","-52828820784","-21580008012","6373638528","7021232356","7282879128","-32987864400","1062187984","274449816","29928504416","-11367571024","1359165312","11960910560","-4110265280","-155180772","-2240823824","-687085240","24577056504","-13201475792","18475837952","5000354424","-51403086584","-582472072","-250945128","4526993128","-21187978512","-2293712208","-7585348928","5206380936","-26160345144","18145454336","12444602128","2970071388","39721760","3572426704","24126092352","-59801908744","-36229445952","1319941224","-26550302640","-1899127872","2292045984","-38017147840","-1912086400","-8731036116","15476114424","499852652","-10826389152","1315250796","36489969704","-3234596328","-21897888000","-34868176084","-4344995520","31712260044","45979008400","-5115264696","25331089888","1911751024","1383793632","-37251876452","30785332096","-33467965884","2735447840","25899932380","-12253903344","-23514388336","-7169580864","1335609648","24660209952","35787862796","5151591360","-2417763348","-52702039800","-12694330044","-4869812672","-79487902828","14080442544","-13916792704","-29445215600","480945384","-61591813952","38458874192","-221052672","-31127569550","876972096","-12700696320","16191472400","-7363638184","2415463200","27760497884","-856226400","11112334056","10012184400","73268571832","114791256","-22586537872","39294891208","8738044614","-19911225792","-89267624308","-37795243464","-12906580872","4491724336","8461546740","-17637124704","62643845932","-11627692128","-8134098672","-6188064960","-22828669560","10634780624","8105691136","4536304560","-57855387808","-1567423360","-29653624044","15559313200","6105234400","-33535312848","44145853596","25545830728","-335004660","-5588158400"],"derived":{"al":[[3,-1],[13,1]],"fricke":-1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"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"],"derived":{"al":[[3,1],[13,-1]],"fricke":-1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"39.8.a.c","letter":"c","dim":4,"charpoly":["954770284","-20865612","-109713","282","1"],"traces":["4","-6","-108","406","-276","162","-1116","150","2916","-3784","4968","-10962","-8788","65472","7452","87474","22944","-4374","-26628","161976","30132","76292","23712","-4050","-6900","13182","-78732","-199136","227592","102168","531380","-334446","-134136","219924","-175920","295974","-630032","628368","237276","-1706656","212028","-1767744","-1883816","700716","-201204","-3306104","-218976","-2361798","1960900","-2726466","-619488","-891982","4469064","118098","1694808","8316360","718956","-4380380","6869472","-4373352","458456","-323832","-813564","2931038","606372","-2059884","-2218700","7951500","-640224","8076176","2473128","109350","10457616","-14633268","186300","-19046320","10975368","-355914","5130864","11949000","2125764","4798440","16493520","5376672","-5510728","13425528","-6144984","-13493988","-3209484","-2758536","2451852","-23466696","-14347260","-6914804","-10170672","9030042","17620768","-36226854","3621672","-17476590","461568","-5937948","-8641528","-329550","4749840","-26330740","-24537696","-7991298","-6204744","-33367728","17010864","-33514080","36694104","-16965936","-12027312","31075260","-6406452","13294236","-19310328","46079712","39050180","-107087772","-5724756","150441720","-314040","47729088","-49392888","-42640842","50863032","8313448","-15041712","-18919332","86207296","34594536","5432508","135262844","35195004","89264808","828112","-179449008","5912352","-23983556","-10914696","63768546","51644952","73627788","-52944300","21079028","4857540","73614582","-51136740","17522088","16726176","62181664","123511872","24083514","34652024","20131632","-120664728","-77136688","-209020368","-3188646","-98260700","-212252664","-45759816","-24918332","-65708448","-224541720","19307236","109160400","-19411812","110713832","31064880","118270260","-227920404","262218564","-185475744","187492288","-25586160","118080504","-211009960","-143841984","-12378312","-487988424","244581384","8743464","-376008064","-74452476","21966228","118059184","75740064","-79138026","-296072328","149776188","-16372044","747373270","119585436","55616868","-77110136","-193100334","59904900","237256164","-232625784","-214690500","-290126656","-386769552","17286048","-192180378","454046904","-218056752","352382736","784136628","-66774456","-287315632","415071984","-2952450","-13998352","-173248044","-282355632","169413776","-50407968","395098236","-170789308","1133441736","-5030100","160960076","345028872","514250640","375097240","-250070880","-296334936","-1101029220","264747216","9609678","164547976","349988724","-138533328","689613664","57250824","-322623000","813486960","-48581766","-57395628","-62584740","597245772","-129557880","58501716","-757105536","-445325040","388962896","554003424","-145170144","-89786176","-541826352","148789656","-681622174","104052480","-362489256","-869581192","-355861272","165914568","-788439328","-119592816","364337676","101745864","-1634781072","86656068","-1919788456","508122408","74480472","79903876","198953988","-66200004","722626216","-1007352648","633600792","62609464","-1289684424","387376020","2846418288","931034652","186699708","-1582732152","-2421027756","274608144","-167613524","479232528","-243811134","591561004","-1517325648","-475760736","2226092212","998951124","978125058","-1101348472","-3003012924","-97785144","865961296","-52095264","471867930","1063549616","1883523288","-12462336","-1201355472","1300191192","160324596","778872364","-1215856416","233321256","-2368250448","312568032","8897850","-13064808","-2630410740","-128245680","1342055120","-1164430884","710929980","1770635216","806257224","662517792","-342592576","-2461743240","215765046","15159300","843422448","167528088","1176182000","109881336","900928656","-998887356","3912472236","-459293328","1105871420","-1662142464","904880160","3360413416","-28960854","-990740808","221310672","3182533032","458080272","-2419723512","962664600","324737424","2088322612","2489715168","-839032020","1754831584","-348031104","172974204","1692170004","1522174908","-358944372","-3320169720","-274794480","521378856","-2268255160","-271558464","-1244152224","603677428","528812316","-1054354860","437501792","238075656","2891369844","-1362165648","-377761752","154568412","-2939705936","-2987321640","-4061926440","-393566264","2056377096","8479080","-3079161788","-500019624","-1288685376","150559276","-2918705040","1333607976","1341608688","-718004304","1151302734","-4558615520","624004260","-1373301864","-642871932","-2631965760","-224463096","-2570149280","-5797560234","406126224","-158302168","-1658171616","510821964","467417744","4172780304","-2327596992","-1920596346","1522832964","-934052472","-1167441860","7389213948","-146677716","5137310720","-675812064","-3652096788","3427235520","2727947184","-950265108","-707667600","-427327368","-2410149816","3030597752","734777862","-22359024","-97885696","-2430650928","4845123216","-2212650472","-2321182008","-159633504","-2955234348","1686984672","647556012","-4633570552","1543291056","294696792","141403648","-60699504","-1721750742","3490044776","14291012304","-1394413704","189925132","1247713488","-1987950276","1735702056","2938430496","1429496100","-483173028","-3269897664","-569133756","1082393008","-539376696","-131153580","-7917643792","-3999714060","-1987593714","1353617912","14126168820","1380691980","-4492777108","386496240","-473096376","-1665108272","363176820","-451606752","6395376736","-1772116404","-1678904928","-2679547852","9180961236","-3334820544","10055633452","1419780960","-650254878","4578065456","-3208367088","-935604648","6162989396","-1761471696","-543554064","-3245113356","11677681824","3257947656","5444042044","8671370280","2082690576","1384180304","1395502764","5643549936","-16909876138","-7588645848","86093442","7968518580","-27523938372","2653038900","-11353649416","-3787279392","5730821928","-7371638336","-1380524496","1235515032","22124287656","-1153377960","672794964","4998204036","-9212529648","1774128096","-11589080304","-1001023104","6062626440","7545781304","-3744197040","-521295372","-11844413200","-5523815316","-2947330800","2805095672","-9338190","524118924","-3633713364","5401555008","-2989273464","7274833344","-1049601888","-838751760","3749523232","-5184052488","-3193297020","-8864181040","-22589939040","6153850908","5665167720","-3488399352","-7079901228","2828575652","-9390557808","5007845088","7012876144","-465825516","-5062291776","10253023424","5653076256","690826320","-9161474460","-2631853464","-3188173608","-3451940888","6584592816","5697268920","-3635934796","-2365911336","3883733568","-3750875760","-12893718072","334214424","-640673748","3219888312","13175687448","-6291480800","11699426748","-6603697368","-2535436632","-14204916348","-236073528","4138743752","-24551153424","10152217728","-18139480504","-5190646464","2010216852","5483728808","10062498936","-593088156","5655710244","3484657056","-3187597968","12950125048","-1539473052","-2044981728","-12319904048","10958105952","2136726702","4684763768","9263220558","7993952856","20842204528","-1064216376","-4043957076","1156930384","10833010500","442045188","127336016","19819640112","-20179078290","-2464713104","2454695760","-3228806772","-2271367236","-5479173660","-1501655436","16187750048","29495421312","2081973672","7263510488","-5345633472","5213709018","7268118136","-15079402656","-1617432300","15008171688","-25407867924","-6405916428","-4028667520","19934887176","6280896168","-29977057872","481090272","5796643500","11140312848","-16997722440","7833419712","27308884144","-9400762116","10442777904","-2272842740","30467172720","-466723296","21701611816","18619346496","5188870206","-8769889564","17033593980","-12259266408","-29535534028","-11140783824","5887532304","-13029030660","27562091568","-9514333872","12844511928","3730001280","-21171688956","-4308097300","-9499674264","1802910312","-7220141152","826845216","7757522064","-5705574796","-56174802048","-11206943568","-5738589376","14101421904","79716150","4858677824","5990045802","377955504","-7617658576","-5790522696","4677697188","-20393738592","-12013874184","7623602064","-5557322240","20922300960","-4574171952","2917130784","18031912536","1361015136","-23885458132","937004928","-10667652372","18462526144","10064646996","4611311316","19896327088","36002516976","-30602926872","-27039752952","-9310582644","135812700","1959684454","-36090396648","-4345922052","492303256","-18267633312","-9315779544","-4592280208","-19767600744","-13884767280","-27713396800","20957033280","-10127625480","-22554711624","-9818533608","6751913760","-2328384476","49722128748","8001043272","24019639032","-7721433840","29727788940","-9185278248","12277435884","-7148174832","-26166487968","14215891200","-259461306","-8023748984","-18136066308","-4442795352","4671797096","13222327176","-9449695548","-6851081016","26890739568","3740399856","8324431144","-8921080656","-18619568928","-3723493176","24259792344","-1545772248","-40817508132","22572513456","8710821000","-17428409824","-11458385550","-21964147920","-30681928924","-2112537960","1311707682","8310691400","-18271042920","1549681956","-11205680080","5754981840","1689787980","-9362074136","-7504943952","-16125635844","-41382423192","11873207208","3498062760","21481437596","15806118960","-1579546332","98937315328","12181241352","20441849472","38733041776","-13809331788","12023776080","58210779352","-10835947200","-10501998192","-7141298696","5444966028","-14958092448","9623694860","22098964416","3919593888","-5853915624","-30926375424","2424226752","60241828752","-23787058356","14629311504","-25264452472","-8969019024","-4017320712","-40997394332","-15092229984","18403798698","49952486760","38393648928","-2809416960","19457694460","-26319957708","9787209912","-28926817764","66576139188","23478692184","50140502236","29178575376","9608254344","-8750031280","-60193300464","-4479693336","85398432114","-32691743160","21287861856","8873793116","49070980296","3229006032","26279757952","-9653554632","-9837117252","-1007227832","5455201452","-2747138328","-49364363280","-17540779824","44139088944","-40054922864","-41863412634","-2339713836","9037433312","23571128160","51834288312","-13688206528","711458904","-13719305016","15540098444","40375958712","-2010972744","7198199468","-130312914432","-2157404652","-48142287432","19531229232","-5371757676","-14081294960","-46821119460","1787400108","-17907348432","-62430362364","-19510907832","46310072","-94986385632","27198521496","85280445184","29146565160","-17107221384","-29868525576","-67249415952","-1690455528","-6439490486","32001949152","34821479448","12584553640","-86776074240","-10459152540","34490390560","17110315992","-76853293776","-4432332484","-112634968812","-25137935604","47720531448","-1332199284","-5040892116","5298115236","121177145916","42733768104","-52735701156","41874097248","65367749412","13882144576","25405344768","-7414419888","-89555675824","20742837408","4525565148","-1213502400","-78411608064","-12939278256","-72762516508","-6115696512","6582900618","42755267032","49608254268","-15972147108","-106821828272","-89809596192","40967792496","4874483900","23957551020","12845539872","77955507328","41451687264","-60104489724","-14628991552","52605614688","-26971680348","-2529440400","-3537137472","-26409376566","24706222440","-17469445500","29736408744","-114301651040","36542391792","81081348948","-9666485408","-1406728272","2640198888","2965516664","38400466824","-23380954992","46534512848","-23229235896","1406572128","32177658128","75307387560","-12740434110","44095903520","25236319536","-28715839632","43622625428","-21525070872","-50855128776","-18590576168","-19280027484","336483072","-17743358672","11676972720","32436597744","96807263776","-118698931812","-35105162184","99889635372","-43969550688","-4328764092","-8175827696","-84185563392","-21029553828","-43216139352","-5433462216","32828123232","29116450512","-51208095840","-6299673912","-65554726476","28164854940","63942762096","-100977440676","50361428052","-8439336864","-12038113792","127966913904","-240241950","-10026836440","-149839932336","352749816","13669393552","-26308203948","71021089980","21686435728","111989649948","3462633360","-37323907728","78449625936","-36235488240","-22975382352","52697090544","31439633868","40500895088","11850746928","-19195109460","-7872817280","118079420628","-47807150832","39433900004","45324985872","-21768945048","71925294596","32149289796","-17887980384","-12149401772","93380385336","9249999552","-50984023772","39179744790","66467067480","80559091248","39879790080","-5825656242","-120975115088","-75901237560","-409301100","92444737140","49094215044","-22772406096","89911194600","186433070904","-4523258376","7769603616","59846400168","-31756914000","3399482208","-20065728888","-2966796072","41844765040","-98661016224","-24325073712","-84008057792","-45233923728","26969958612","-117478736608","-33794711808","-105636750372","-15108388296","119998961880","12400919856","46784696768"],"derived":{"al":[[3,1],[13,1]],"fricke":1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"39.8.a.d","letter":"d","dim":5,"charpoly":["1017490921920","-22000980456","103763376","5793","-774","1"],"traces":["5","0","135","454","774","0","1420","1170","3645","-5672","-2280","12258","10985","-18672","20898","71410","54330","0","83832","123876","38340","39896","2736","31590","207115","0","98415","389408","80622","-153144","18332","-427350","-61560","-827360","-339168","330966","298166","-660048","296595","-1138788","-720030","-504144","-1159956","-2841288","564246","753168","-180780","1928070","1141173","-4631904","1466910","997438","-1903386","0","77584","-8772480","2263464","5825200","2455752","3344652","1361078","-8785920","1035180","7778066","1700478","1077192","7533704","5170092","73872","-1716160","2672820","852930","10580722","268848","5592105","-265320","-350400","0","4006864","9486588","2657205","-11749992","359208","10514016","10076684","-1006800","2176794","-9791592","5879106","-4134888","3119740","-55196400","494964","-31110168","12219864","-11538450","8253386","-45364704","-1662120","-32734198","-7591770","-22338720","17364576","2570490","-9157536","-41747328","-9716820","8936082","17745326","36552144","8050482","36212864","-20005206","-17821296","-4427232","36485700","8008065","-32925816","47698488","-30747276","-22024367","96062880","-19440810","-18732464","31231548","-13611888","18578872","62437242","-31318812","-12461384","3714180","-76714776","-42384216","146290752","15234642","-112816956","-27486750","20335536","-12393708","239053440","-4881060","-16918296","-5009160","52057890","20111252","83208720","30811671","245391604","-41489850","-125061408","-19854628","136589352","39606570","217494016","-39441984","26930826","-19255290","178351968","-51391422","-153295156","-182658816","0","-178776752","-117531828","2094768","178652120","-63717828","-236856960","24134045","-215441424","61113528","-359474088","-173725842","157280400","-173805532","-472237704","66305304","-131385208","-43965540","90305604","50647822","-41022384","36749106","352713936","-267788988","-237219840","-51034448","90499968","27949860","-222817248","-52951824","210007782","312025866","179152944","45912906","60487734","129679638","29084184","-244965536","-56408034","203410008","15412464","-446978856","139592484","555219156","503901360","1994544","156887770","-160174176","-46336320","-449988532","78818196","72166140","183876144","-988720824","23029110","654848200","427485024","285679494","-533834992","119363010","7258896","-83169124","-542049408","150986835","564223248","-341628648","-7163640","701229910","545145312","-9460800","1495388460","-161298078","0","-269763000","1248721464","108185328","-756100960","-536876676","256137876","159153962","571762848","71744535","339052036","985066422","-317249784","184178904","-1835047824","9698616","-688458000","-748163604","283878432","855970752","-1628397216","272070468","-745154878","398089194","-27183600","319216504","272155572","58773438","-495839344","-1446067536","-264372984","791792532","-259587552","158735862","-193637672","388978878","-111641976","-233502732","1030652676","84232980","-2584775208","240288168","-1490302800","100162870","1354777104","13364028","-3585351168","1534323234","-839974536","-281157780","854274960","329936328","87651512","-1224265200","-311538150","-763044833","382364976","222841422","-444848068","185300694","-1224847008","717509280","1876909116","-44877240","-1075417656","6010992","-883823346","1177871088","-71272800","-204977790","1519948968","692474820","-603145440","-462159200","-1158397440","468843552","-938103200","434133264","69403230","347138466","1629263616","-247253472","1250091680","1756777038","-1127177856","-1145644784","2108559612","-262354140","4078500864","1100261520","241274214","455031655","1947246960","479123802","-1959243180","133988352","986907888","1672033216","-1760775192","217363014","-1850559064","-15624504","977747328","260332938","0","-540140562","3444512392","643829376","-481174992","-994305208","-396047640","-119535264","1637235024","235207476","985113900","1459347614","524219568","216217755","-721497896","-2425534230","-888997032","-1293631560","5983696140","1287859176","-2694662560","-1309232964","-830176452","-643247471","-2952239328","-594657909","855529376","-1095916116","2593697760","-1426219888","-6048211440","-524901870","-1286977040","-868544088","-505776528","-2337876778","3413756208","843251796","-223949808","177126534","-367520976","1535254896","614529744","501629544","-195332480","-4515243108","1685805534","-1533168640","2509167552","-845607924","-1190424596","-1004431530","-336457368","-1222193568","-5932257246","100282860","5985060888","-4094711616","-2071298952","-44380130","458575296","-1144373832","-172963138","2475281226","3949850304","40275404","-1178098476","411335334","1907465120","-7454476848","-3046057812","2133008690","-4219481280","-742142250","5986894224","-1051664592","549059472","-6875640800","-938887950","-334630116","-2015621664","-1213616988","6454442880","877340950","177052896","-131788620","-6682783428","4506756774","-456793992","702813880","-5108342664","-135247320","7574663616","-3332558532","1405563030","-575405278","-5510433504","543003804","8633054692","3001382592","2246635440","-1693277504","3615973968","831915117","-1817709920","2823425772","6625573308","2733345700","67806816","-1120225950","2661426304","3584474970","-3376658016","2640797616","-6173912436","-536074956","11557981448","-745152096","3687912504","3827408146","-3260868480","1069377390","-13362866976","7426574958","5872338432","-1183680460","6112415916","-1064933568","11277936464","-775100076","727132302","-5435169608","-6673202736","-519892830","4720399224","3706912992","4815503136","11603864472","13206242112","-1387568394","-8409391224","855887940","-4138969212","655070702","4726923024","-4931788032","4565358926","-2492992644","0","-3826679436","1751198412","-4826972304","-13236220776","601254540","-3173359356","-5011200964","-1450125456","56558736","-1647468752","17132772528","4823607240","1988802936","-12134768280","-1720381356","-4345086768","2013488832","-6395137920","-12037449756","-2805600576","651619215","218153312","-7129879506","-5816918448","813921704","-5246921046","1650065256","880804912","8573350464","-9705800376","-9081160896","-20989049568","-4690597734","-2501917236","14853459474","4246570800","-8507850332","2643839016","-4692749364","-982516368","8842476120","-12750418008","3760153469","-12961970736","1790243208","5503273536","-1581905910","-3547400616","-11739069144","31003570056","-1187069580","-6067990000","85224792","2438251308","-8662905186","10341528432","1367491194","-17966272780","10779043140","-1107604368","18700041404","-13925223156","992225862","8393511016","5649526272","9523276272","7711486880","6346569984","-7230302676","-1904481672","-6339728658","-6404935680","-2548423332","13888855296","-1377930096","2916403192","-4657603188","2443499136","-2627546244","-5607612192","754646220","-29827833024","3651875106","-6016065696","4241784460","-6242309736","-1429699248","10070726784","17016385488","5670210114","-470261414","-19416157056","8424698382","-14382021608","5089333296","4837129488","-3057141168","22433813460","1239648462","-6742215192","-2850508128","1633168818","-2844056664","-22916347920","3501350226","46760794300","21273734298","785272968","4370568256","-40579732188","-6614069472","1654710096","6584292768","-1523016918","18261242498","5850106944","5492070216","-2591421536","-503223762","416136528","-5695922576","-13340374776","-12068429112","15921841552","-397173660","3768997068","-3619648090","33503062656","14990917212","18474445824","5100436530","13605336720","10707335400","28813689120","53852688","-13510024848","14435115744","4235969790","8085471817","9455151072","-4324702752","18168777540","3993053772","-1251080640","20645409772","20942412192","-12149690364","-15047128616","-7462959264","2128091292","2507157081","-40172561136","1948485780","3066617772","-1509082422","4964655888","11311363864","-34471099392","-26695462248","-14660658336","-2329960200","621785970","-33216758496","-10176293088","17680901400","-9885759400","-16091067186","11542095648","24004974520","-24437169612","7713346338","-32074855296","-6453295860","-14413544784","-25347506874","16485501792","3222801270","28218132648","-41617683456","195990192","3431236896","-43837283664","-2245566348","27800332672","14863044240","-14635334016","-23880246190","8427598752","4076644545","2191371286","-9198823338","15234027696","-31738048568","-42857600520","-9223973496","48021760064","-32563948968","-193418280","-19801742124","-2606526240","18933207570","-35731076568","-4181739042","14718923424","1889467416","33520865316","-255441600","-42985223232","-46438276440","40375488420","-3818958204","44989177776","-4355048106","42908208736","-19948555698","0","17349763584","-9951060552","-7283601000","19809687128","-3894339528","33715479528","4895946614","8693615952","2921003856","-29997173004","-12006734208","-20414725920","170452048","-23998196856","-14495670252","26643117672","-26636990904","6915722652","-11374794432","-15242772576","4297156974","24967181492","-5512334574","15437596896","11173974544","-19273138560","1937102445","26036521040","-5882209128","9154404972","-6272700786","41469019344","26596793394","-1322205360","7675101600","-8565744168","31753370896","59271568440","4972830408","-18583414560","-26059848684","-49546291248","12389070780","-18318687456","261862632","-29056108048","20834480976","-18588366000","29647899016","48270663216","-20200417308","12797964400","15464780496","7664717664","-46905724402","-43181060496","23111210304","14851874736","-14281071534","-43966724832","19347783112","33617316192","7345902636","36947094520","5395287144","-20119181706","-21861679350","61385852928","10748408238","-47373968436","1546264806","-733957200","11539687444","109937943588","8618845608","20810035424","-4184984424","7348200444","15150895104","61376508192","1586882826","14797371522","24872170980","-13387662288","7743858128","63955099236","-39043823472","45834414272","7711879560","-7138070568","2990288366","-21795691632","21378398364","-38778037840","-11943542322","-7008863904","20180759592","-91979646906","4285868274","-34033603384","11045132016","-5228217144","-113473440768","-19302666240","10502429706","61523409756","48944846802","-3014333352","68031462400","-54778323648","-6304573764","-75192904240","18591293688","27827622252","-21052677120","67855705680","2274290460","-58460224440","-44062371402","-69788930616","21290133936","47862150288","6487780536","-93384196416","34990937784","-40238175600","17754503254","81896341968","2704397490","17088411002","43015033050","36578981808","-71138468168","-38112197280","360828756","-30267397840","-14830869108","-96804481536","-2468760533","-14316394560","41426727318","-65812991576","3735950166","-22679312472","15935829596","748272252","-7591260060","-38689794784","-76504138080","23065423920","-17742760458","55267598880","8908280856","-9554516664","-42752413374","2366590824","25894329380","5261008272","-33055160400","-5489891304","36856872060","-8411530050","14482296852","36101872320","-20602210491","88028373056","-17275412352","10323854352","16551547688","-35919558420","6016718394","-27385374912","-123055833024","-12010897836","-17714374274","-104059662288","5003118738","-90939802480","80768431050","-33070869216","31130272148","11358692124","19372750560","73346354512","-48305005128","50676546132","93197167088","-82251526560","-1211685480","-128570059760","45970494096","-29036276712","73288311592","14789122944","162296784","-137167934488","-101881164360","-23863230342","6728039532","47936849520","31802519376","-28992037692","127117994292","-1924365600","22669590492","-18265418904","-5534400330","-3770403520","-44034743088","41038622136","24042669920","-41160096336","18696820140","100455589652","-39461759184","-16284926880","-38967998136","166072975200","-12478298400","38764473560","5872185540","-31276730880","-54204556982","-42951235728","12658775904","119679957116","58503011130","-25328786400","42156292584","-11250755268","11721598128","-20815248816","-30525657312","1873887210","62419425754","108876505440","9372738582","80515785408","70084577694","43990117632","33085078368","219810263448","-6675843744","17574122976","-32919640752","33752475360","23245846234","-99347088624","47432980026","-164438354688","4122461250","-30433802112","80634818912","-238956262752","-30932409168","33560386296","51041818128","56931109524","176949549","590659056","-7083561780","137404541644","28326237708","110119523328","76069414756","-31761312150","29707061040","25962555472","-69182156508","6514403778","39992179968","73771032096","12285854685","-58108398068","-26353900470","52575667920","-99793775440","59729110788","12936342654","-81099436368","27747277020","-52899565860","7358074860","32106999072","3617685504","-582908040","40759108800","26646512976","-27777075040","-169700154384","45144896832","-92684715456","-155831339760","-47540930184","-58775208730","-97798350240","5868801378","155043951768"],"derived":{"al":[[3,-1],[13,-1]],"fricke":1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}}],"seconds":0.281,"computed":"atlas","estimate":{"seconds":0.445,"low":0.272,"high":0.77,"bytes":1940977},"url":"https://sagebrush.space/atlas/mf/39.8.a"}