{"label":"34.8.a","level":34,"weight":8,"dims":{"new":8,"cusp":30,"eisenstein":4,"modsym":64},"old":[[2,1,2],[17,10,2]],"T":[[3,1],[5,1]],"status":"proven","checks":["dim M^+ at levels [1, 2, 17, 34]: [1, 3, 12, 34] (certified at ell = 2147483489)","T = [(3, 1), (5, 1)]; h of degree 8 = 1 x 8 (phi(ord eps) x dim S_k^new); 3 primes, 0 rejected"],"newforms":[{"label":"34.8.a.a","letter":"a","dim":1,"charpoly":["-202","1"],"traces":["1","-8","-68","64","270","544","680","-512","2437","-2160","-3756","-4352","-3994","-5440","-18360","4096","4913","-19496","-6628","17280","-46240","30048","-70056","34816","-5225","31952","-17000","43520","-74250","146880","-291280","-32768","255408","-39304","183600","155968","511214","53024","271592","-138240","-73830","369920","-534268","-240384","657990","560448","-967536","-278528","-361143","41800","-334084","-255616","-103362","136000","-1014120","-348160","450704","594000","-2133900","-1175040","-149098","2330240","1657160","262144","-1078380","-2043264","4655564","314432","4763808","-1468800","-5571000","-1247744","-1991302","-4089712","355300","-424192","-2554080","-2172736","8241632","1105920","-4173719","590640","-216612","-2959360","1326510","4274144","5049000","1923072","6106026","-5263920","-2715920","-4483584","19807040","7740288","-1789560","2228224","6221858","2889144","-9153372","-334400","9442638","2672672","10121240","2044928","-12484800","826896","-6785772","-1088000","-11627674","8112960","-34762552","2785280","-16623726","-3605632","-18915120","-4752000","-9733378","17071200","3340840","9400320","-5379635","1192784","5020440","-18641920","-22504500","-13257280","31900448","-2097152","36330224","8627040","-20760324","16346112","-4507040","-37244512","-4590000","-2515456","10313466","-38110464","-30071500","11750400","65792448","44568000","15001464","9981952","-20047500","15930416","24557724","32717696","-906978","-2842400","4131272","3393536","11972981","20432640","-78645600","17381888","93805142","-65933056","7028616","-8847360","-47638080","33389752","698492","-4725120","68960160","1732896","-112322328","23674880","-46796481","-10612080","-16152436","-34193152","104084070","-40392000","-3553000","-15384576","145105200","-48848208","3812412","42111360","-19443298","21727360","10138664","35868672","138027780","-158456320","-18453228","-61922304","-11560000","14316480","-28596480","-17825792","-55813438","-49774864","73329840","-23113152","43495566","73226976","-102917752","2675200","-316578352","-75541104","-50490000","-21381376","-19934100","-80969920","-170726472","-16359424","24894768","99878400","163891916","-6615168","378828000","54286176","-144252360","8704000","-198070400","93021392","135408536","-64903680","-19622522","278100416","160519040","-22282240","-12733325","132989808","139403388","28845056","-4056178","151320960","173677440","38016000","-370486566","77867024","-261234720","-136569600","-560430976","-26726720","51012240","-75202560","87615890","43037080","320991892","-9542272","-97508610","-40163520","26472232","149135360","14729616","180036000","250625172","106058240","263130336","-255203584","-90202680","16777216","-88844286","-290641792","347625520","-69016320","-180947250","166082592","313286424","-130768896","-27907740","36056320","-415209768","297956096","111740934","36720000","145006064","20123648","184682560","-82507728","19625100","304883712","-394918786","240572000","-709849360","-94003200","45172842","-526339584","740916932","-356544000","121690080","-120011712","-50204400","-79855616","24137569","160380000","-423086344","-127443328","325456782","-196461792","-576153000","-261741568","63852000","7255824","279803664","22739200","-363302240","-33050176","-642099384","-27148288","-40256460","-95783848","-410235172","-163461120","-688244320","629164800","615950616","-139055104","-699438454","-750441136","447433200","527464448","532206870","-56228928","278883000","70778880","461432496","381104640","-32563364","-267118016","20868650","-5587936","790681832","37800960","-657924480","-551681280","491917412","-13863168","1245828518","898578624","1257002280","-189399040","-886951246","374371848","1130413368","84896640","1094047680","129219488","-805586480","273545216","1286228160","-832672560","-827996220","323136000","15142742","28424000","67898000","123076608","1501101474","-1160841600","-1504170000","390785664","-227177120","-30499296","-130900872","-336890880","-849941355","155546384","365815180","-173818880","-537651540","-81109312","-1212369280","-286949376","-179923710","-1104222240","-70286160","1267650560","-925870018","147625824","1530306000","495378432","296554500","92480000","316930820","-114531840","-2169230464","228771840","-515962464","142606336","-689601600","446507504","-1302011116","398198912","-1738015890","-586638720","-344185128","184905216","1411702032","-347964528","2225240640","-585815808","-1582912186","823342016","306478720","-21401600","-390244110","2532626816","1163372320","604328832","-1126904130","403920000","-1920119784","171051008","448652906","159472800","-701315688","647759360","-1451052000","1365811776","-58485240","130875392","2044862000","-199158144","707777340","-799027200","51167630","-1311135328","-2357885232","52921344","-25670425","-3030624000","-101386640","-434289408","-1020099552","1154018880","679432704","-69632000","602317010","1584563200","1363230000","-744171136","464331168","-1083268288","935589464","519229440","-880105491","156980176","2576915220","-2224803328","1648627020","-1284152320","61674504","178257920","1772211906","101866600","277305480","-1063918464","-280926496","-1115227104","-733298400","-230760448","2011956794","32449424","-83521000","-1210567680","-1325647770","-1389419520","1275395312","-304128000","5347900800","2963892528","-2114005092","-622936192","3165783520","2089877760","-6378749656","1092556800","2006710608","4483447808","34631300","213813760","-251893194","-408097920","3945970032","601620480","-2041788716","-700927120","3239389440","-344296640","1679901660","-2567935136","-3870054136","76338176","-47497456","780068880","-2242160508","321308160","-364790250","-211777856","-2471410440","-1193082880","-3788280000","-117836928","-3732136852","-1440288000","7637918304","-2005001376","-776009544","-848465920","2549512260","-2105042688","3182160708","2041628672","-1892006538","721621440","-1354085360","-134217728","112676000","710754288","2732734800","2325134336","3634065216","-2781004160","-7077716760","552130560","-6336549702","1447578000","3663677828","-1328660736","241604000","-2506291392","-1431058640","1046151168","1503017689","223261920","-5200314300","-288450560","294877020","3321678144","-1832158440","-2383648768","-259244016","-893927472","1356453108","-293760000","-4981334794","-1160048512","1322144264","-160989184","-3139471980","-1477460480","5114503964","660061824","-363351826","-157000800","492129000","-2439069696","5604309760","3159350288","-9385889040","-1924576000","6367516998","5678794880","2133866392","752025600","1254819504","-361382736","-824788356","4210716672","-4488406020","-5927335456","-2838128920","2852352000","-3315930294","-973520640","4239255140","960093696","1944560640","401635200","366042600","638844928","4933638338","-193100552","3795313784","-1283040000","-147296160","3384690752","388227672","1019546624","-2628012060","-2603654256","-3953128092","1571694336","1930603840","4609224000","-2957698488","2093932544","-8228358606","-510816000","902026800","-58046592","6998407136","-2238429312","-6781267608","-181913600","-1694008342","2906417920","11345609468","264401408","-1452501450","5136795072","-839505616","217186304","3433320000","322051680","3864338784","766270784","-3879666994","3281881376","1355518800","1307688960","-6682317222","5505954560","4100656436","-5033318400","1190952000","-4927604928","4152097680","1112440832","-5668011875","5595507632","-1692844224","6003529088","2511594382","-3579465600","4506732008","-4219715584","-11144650288","-4257654960","8613120960","449831424","1442405142","-2231064000","-13576527000","-566231040","6016742658","-3691459968","659871932","-3048837120","9809160480","260506912","547873656","2136944128","8014928400","-166949200","13468787200","44703488","-13047489210","-6325454656","-5605287480","-302407680","-4852802974","5263395840","-13701187524","4413450240","9868593374","-3935339296","1334331496","110905344","-1216900800","-9966628144","5201658000","-7188628992","-10915294720","-10056018240","560012088","1515192320","-14942341150","7095609968","88825000","-2994974784","-9626173842","-9043306944","4230863440","-679173120","-9479430384","-8752381440","5551523220","-1033755904","2784635820","6444691840","275820104","-2188361728","412827828","-10289825280","-4075487956","6661380480","-6224292960","6623969760","-8119305000","-2585088000","-362726790","-121141936","25193086488","-227392000","8695327158","-543184000","-3388326392","-984612864","17763960960","-12008811792","6420993840","9286732800","-4541045938","12033360000","20084857184","-3126285312","20405911680","1817416960","4050395280","243994368","-3468832320","1047206976","12956521152","2695127040","6882443200","6799530840","-5957880520","-1244371072","387956250","-2926521440","-7966640152","1390551040","-12699525203","4301212320","-2624858684","648874496","11962964822","9698954240","6630585480","2295595008","-17486298384","1439389680","-15552171124","8833777920","-1800111776","562289280","-24043032","-10141204480","-244884060","7406960144","-527883444","-1181006592","-4614324960","-12242448000","-14765896864","-3963027456","-17042511696","-2372436000","1115443440","-739840000","9677164670","-2535446560","-17892862848","916254720","22458331914","17353843712","-7906818320","-1830174720","3232704870","4127699712","8522796600","-1140850688","-24689382142","5516812800","6041411448","-3572060032","790594158","10416088928","1521938000","-3185591296","-23638535360","13904127120","489345240","4693109760","20924676000","2753481024","1262250000","-1479241728","25327388340","-11293616256","16447867244","2783716224","-21303476832","-17801925120","-11304133680","4686526464","595497412","12663297488","1897726320","-6586736128","-1485306858","-2451829760","-4753504368","171212800","14880385362","3121952880","7479330312","-20261014528","-12862281600","-9306978560","-7598383512","-4834630656","9636214170","9015233040","23179341908","-3231360000","-9860412352","15360958272","188592840","-1368408064","3541128304","-3589223248","-6618697040","-1275782400","-1860946722","5610525504","3900424952","-5182074880","-1334506800","11608416000","-26968179036","-10926494208","14475701942","467881920","26854477448","-1047003136","-1774295559","-16358896000","-30327028560","1593265152","4951760000","-5662218720","6536706984","6392217600","-11736813809","-409341040","-3071753256","10489082624","-12635049870","18863081856","-3658151800","-423370752","-50382351376","205363400","-35813607984","24244992000","-3008571970","811093120","-4361157720","3474315264","25236616554","8160796416","-8436126508","-9232151040","3413899200","-5435461632","24925682784","557056000","28102698900","-4818536080","-1641354692","-12676505600","-30955569792","-10905840000","-18594322616","5953369088","15162667946","-3714649344","-15303060000","8666146304","-839318170","-7484715712","-22131061176","-4153835520","13229896338","7040843928","-23672032612","-1255841408","39178404000","-20615321760","-20691806952","17798426624","21692304640","-13189016160","15676488564","10273218560","6412828608","-493396032","1029351240","-1426063360","-19026649152","-14177695248","21627540000","-814932800","-507817506","-2218443840","24704552320","8511347712","-5249690460","2247411968","11772457556","8921816832","23011708806","5866387200","37366899168","1846083584","813594672","-16095654352","2737439280","-259595392","-14117020320","668168000","40594549736","9684541440","27895991696","10605182160","22250574000","11115356160","-2671093150","-10203162496","24665461880","2433024000","31532876514","-42783206400","2393655804","-23711140224","-41884641888","16912040736","-4982371560","4983489536","-6323464102","-25326268160","47561814872","-16719022080","13938779430","51029997248","5172234480","-8740454400","-3121200000","-16053684864","38407592268","-35867582464","7953260188","-277050400","-36190067160","-1710510080","-38769896118","2015145552","-7721049600","3264783360","-18964044000","-31567760256","7013156880","-4812963840","57331424289","16334309728","-16536926364","5607416960","-15069628260","-25915115520","-52052966248","2754373120","2214308752","-13439213280","-28286864988","20543481088","-20448620000","30960433088","-1419068200","-610705408","-4636013646","379979648","-22934233656","-6240551040","-28336641538","17937284064","-27629428680","-2570465280","11743802820","2918322000","44738864640","1694222848","37428679008","19771283520","-16178107984","9544663040","-33450384016","30306240000","-27787793040","942695424","44155826414","29857094816","-8690638000","11522304000"],"derived":{"al":[[2,1],[17,-1]],"fricke":-1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"34.8.a.b","letter":"b","dim":1,"charpoly":["366","1"],"traces":["1","-8","84","64","-450","-672","-1408","-512","4869","3600","-3684","5376","-6874","11264","-37800","4096","4913","-38952","9644","-28800","-118272","29472","-39600","-43008","124375","54992","225288","-90112","-185850","302400","37976","-32768","-309456","-39304","633600","311616","175262","-77152","-577416","230400","-667974","946176","379124","-235776","-2191050","316800","523440","344064","1158921","-995000","412692","-439936","775902","-1802304","1657800","720896","810096","1486800","-2180700","-2419200","2096006","-303808","-6855552","262144","3093300","2475648","-625204","314432","-3326400","-5068800","-935280","-2492928","-6633574","-1402096","10447500","617216","5187072","4619328","566072","-1843200","8275689","5343792","7656300","-7569408","-2210850","-3032992","-15611400","1886208","2468586","17528400","9678592","-2534400","3189984","-4187520","-4339800","-2752512","4421858","-9271368","-17937396","7960000","-13107762","-3301536","-1890088","3519488","53222400","-6207216","-18694932","14418432","17266646","-13262400","14722008","-5767168","-24691758","-6480768","17820000","-11894400","-33469506","17445600","-6917504","19353600","-5915315","-16768048","-56109816","2430464","-20812500","54844416","-15123472","-2097152","31846416","-24746400","-1622796","-19805184","-13578752","5001632","-101379600","-2515456","14668602","26611200","-31163092","40550400","43968960","7482240","25323816","19943424","83632500","53068592","97349364","11216768","-77165346","-83580000","32427704","-4937728","23921397","-41496576","-17089200","-36954624","22134038","-4528576","65175768","14745600","55756800","-66205512","-10659004","-42750336","139255200","-61250400","33446064","60555264","-15496641","17686800","46956636","24263936","-50313738","124891200","-175120000","-15089664","-183178800","-19748688","-88537812","-140227200","29312366","-77428736","176064504","20275200","-78867900","-25519872","-18099492","33500160","-317205504","34718400","13038816","22020096","91638530","-35374864","259837200","74170944","129614046","143499168","-88008784","-63680000","-52517136","104862096","261676800","26412288","300588300","15120704","-192812400","-28155904","-35528496","-425779200","-143831980","49657728","-78563520","149559456","-170605800","-115347456","-53470208","-138133168","-557220216","106099200","-33771962","-117776064","-29830096","46137344","605581875","197534064","-35798172","51846144","-197228434","-142560000","435714048","95155200","1466874","267756048","-235548000","-139564800","47550048","55340032","138705936","-154828800","179597330","47322520","202453020","134144384","-521514450","448878528","-66292856","-19443712","643129200","166500000","250058676","-438755328","145886400","120987776","-185711400","16777216","288558402","-254771328","-246768896","197971200","-904903650","12982368","-128877528","158441472","-349155900","108630016","207361224","-40013056","142261014","811036800","-590961232","20123648","813001728","-117348816","-458197500","-212889600","-66497554","249304736","184905144","-324403200","-613875414","-351751680","-173700148","-59857920","-364543200","-202590528","940507392","-159547392","24137569","-669060000","371436072","-424548736","135187278","-778794912","981315000","-89734144","-829960992","617322768","272210400","668640000","-533806592","-259421632","-1101052008","39501824","-943202700","-191371176","-245377060","331972608","-158767392","136713600","341789952","295636992","372128618","-177072304","3084998400","36228608","1072002246","-521406144","684671400","-117964800","-1570374288","-446054400","47380972","529644096","-854953750","85272032","1450398264","342002688","-737003520","-1114041600","218335124","490003200","853350678","-267568512","281341800","-484442112","677094386","123973128","-2074107672","-141494400","-139903584","-375653088","-472212224","-194111488","1496880000","402509904","829968876","-999129600","367346294","1400960000","-1548629712","120717312","188572578","1465430400","420876000","157989504","-581070336","708302496","677383656","1121817600","-800865003","-234498928","-496886460","619429888","2985108300","-1408516032","-1841695432","-162201600","-3252365406","630943200","-1092470016","204158976","905194814","144795936","-1748250000","-268001280","1277532900","2537644032","1307737436","-277747200","-1270371648","-104310528","355898928","-176160768","-2334182400","-733108240","1845954756","282998912","2264304270","-2078697600","-194554800","-593367552","-136314864","-1036912368","-254732400","-1147993344","847819190","704070272","-1140615168","509440000","-238087950","420137088","-261047024","-838896768","-3724060050","-2093414400","-645665208","-211298304","563256170","-2404706400","1232162568","-120965632","3070425600","1542499200","-3445335000","225247232","-2617699728","284227968","294085860","3406233600","-299422258","1150655840","2548629360","-397261824","611054375","628508160","-2951176448","-1196475648","2127200544","1364846400","-1619521896","922779648","438439826","427761664","7025130000","1105065344","-381902400","4457761728","-447388768","-848793600","5642786349","270175696","-2676779052","942208512","-1110863700","238640768","-6481889064","-369098752","-26476542","-4844655000","2460816216","-1580272512","2723927136","286385376","-4355366400","-414769152","169659962","1577827472","1106839944","1140480000","1783341894","-3485712384","-3686831728","-761241600","-1435492800","-11734992","1479621324","-2142048384","880287232","1884384000","1859259192","1116518400","-1396692816","-380400384","1199472500","-442720256","3777866838","-1109647488","-734871144","1238630400","-1204750988","-1436778640","4683571200","-378580160","-1989836100","-1619624160","493911296","-1073155072","-895356336","4172115600","1027153428","-3591028224","-913081050","530342848","8071828200","155549696","1316874240","-5145033600","-3461613484","-1332000000","2809469376","-2000469408","-4214100912","3510042624","5898492900","-1167091200","-1301717844","-967902208","-352780170","1485691200","9340072192","-134217728","2172677472","-2308467216","850539600","2038170624","-1928352960","1974151168","-4226353992","-1583769600","-2580536358","7239229200","-301260508","-103858944","-14710080000","1031020224","186576088","-1267531776","-1836665447","2793247200","-10617828300","-869040128","4591653276","-1658889792","8412719400","320104448","-7437176208","-1138088112","-4269464964","-6488294400","245807750","4727689856","2462238744","-160989184","-7769990700","-6504013824","874040564","938790528","10205453214","3665580000","-1792337400","1703116800","-797029376","531980432","-6624903600","-1994437888","-7412167290","-1479241152","-2606098376","2595225600","-1520357328","4911003312","8145723468","2814013440","11111291100","1389601184","-11652170112","478863360","2580552330","2916345600","-2455496884","1620724224","1095260544","-7524059136","-4925250000","1276379136","8785670018","-193100552","7697636520","5352480000","-10780070400","-2971488576","-2858422968","3396389888","15061277700","-1081498224","2487505044","6230359296","366240544","-7850520000","10887579864","717873152","-3140812110","6639687936","3112876800","-4938582144","-7392737856","-2177683200","-7269730296","-5349120000","8839677194","4270452736","-3044118276","2075373056","2661891750","8808416064","-9519667720","-316014592","21980851200","7545621600","-3598126560","1530969408","-7620835378","1963016480","25249417200","-2655780864","3164388090","1270139136","-8736149476","-1093708800","-8921404800","-2734319616","-3475769088","-2365095936","-351171875","-2977028944","-2984393664","1416578432","861062206","-24679987200","-5419059112","-289828864","-12081886320","-8576017968","6805562400","4171249152","-7966422954","-5477371200","-4553878320","943718400","8797382082","12562994304","11826066452","3568435200","-14330887200","-379047776","2009720184","-4237152768","8033698800","6839630000","-4491497472","-682176256","13544556342","-11603186112","730258200","-2736021504","-32298871806","5896028160","-5022391908","8912332800","-1878320386","-1746680992","-2836844808","-3920025600","6110438400","-6826805424","7359660000","2140548096","-2505728064","-2250734400","-7721686104","3875536896","7143710114","-5416755088","28020195000","-991785024","-2462020194","16592861376","-6225976064","1131955200","-3007046448","1119228672","72456780","3005224704","-6600870900","3777697792","-16567188456","1552891904","-5333550348","-11975040000","4289807060","-3220079232","25255853568","-6639751008","14023391400","7993036800","-3281756262","-2938770352","123217416","-11207680000","153877878","12389037696","1690226728","-965738496","-19786032000","-1508580624","18455728896","-11723443200","-16864034434","-3367008000","2756204568","-1263916032","-1503849600","4648562688","-11395717200","-5666419968","11651298624","-5419069248","-714848568","-8974540800","2661243904","6406920024","15086175720","1875991424","-23115093750","3975091680","13745841416","-4955439104","-1092878163","-23880866400","1862636212","11268128256","14690739254","14733563456","-43807213800","1297612800","2303251536","26018923248","18890551100","-5047545600","-5568599904","8739760128","-14755862448","-1633271808","34724405700","-7241558512","37278524700","-1158367488","26322464256","13986000000","-14541958072","2144010240","21004928784","-10220263200","-14592466800","-20301152256","17583702110","-10461899488","12254457600","2221977600","-11096624694","10162973184","-24311437568","834484224","-10764628650","-2847191424","14990131800","1409286144","-15276463294","18673459200","24238905768","5864865920","8645272014","-14767638048","4723265000","-2263991296","-20728587264","-18114434160","-6441941256","16629580800","3445571520","1556438400","-41869774800","4746940416","-9960317100","1090518912","-23636784412","8295298944","-10825712352","2037859200","34765995264","9183946752","-14407945244","-6782553520","-29329095600","-5632562176","-20294443146","9124921344","2571660720","-4075520000","12019545234","1904703600","24438086616","-3361096704","-25090560000","2088376192","11949925176","6711174144","-21416791110","29792480400","19428587948","16747315200","-49640743488","5165321664","4796551800","1690386432","3656271856","-4506049360","47125064448","19237651200","1383388686","-9857300544","8725573712","967725056","-38488590000","-24563404800","20994875052","-12339993600","-27581391370","27562680000","-5585794536","-1801977856","5693778873","20941597824","-15050728800","-2273823744","8555537088","-2352686880","-13012163424","-27249868800","17290346191","2395378064","-51565534776","-9205246720","6973488450","-20389034880","8328763520","3178094592","-14590812432","-4888435000","-6940375200","-5028065280","-12908636050","23609411584","-21130486200","9571805184","-8735133366","-17017604352","-12537213244","-10918771200","79002620928","12956175168","33648867264","-7382237184","22641182100","-3507518608","2027555796","-3422093312","-2085409248","-56201040000","4297652296","-8840522752","21530026602","3055219200","29304000000","-35662093824","3267134294","3579110144","11355731352","6790348800","34442971218","-45142290792","-14407796068","-2161405568","82430460000","21414232416","-22864459872","-7537668096","21293848576","8886909600","-30487638276","-1909126144","5048055360","51855112512","39842015400","2952790016","22865673600","211812336","-7057839600","38757240000","3812006526","-19686529728","-44839753728","12642180096","-13190564700","-21791417088","-32057824036","-2291083008","-63821693178","34842931200","-29525875368","3318153216","-28205809200","-1357279696","-79229026800","-12622619776","2284896768","-8854719552","16018771304","-9123840000","-20611673040","-14266735152","6429114720","27885699072","21798211250","29494653824","-9202838472","6089932800","-26374840542","11483942400","11176634124","93879936","28710355968","-11836970592","8144771400","17136387072","19319451674","-7042297856","31258803912","-15075072000","-29612904426","-14874073536","26451770400","-8932147200","142742476800","11173542528","10996339716","3043203072","45599187676","-9595780000","90048188664","3541762048","-3713630070","-30222934704","-5867467200","8877179904","57512397600","5878969152","-20653391616","-9909043200","-26070437535","9638007904","-91025623908","11494229120","-41237338500","-37468569600","9230488520","3028641280","3980001648","15918688800","14323201716","12956993280","43877633536","-3951290368","-71816115000","8585240576","-3228788046","7162850688","-9094270824","-33376924800","84071299374","-8217227424","-49531173120","28728225792","-58326320700","7304648400","-61908295680","-4242742784","-15013310400","-64574625600","22278264824","-1244397568","18340150416","-10534993920","39603952800","41160268800","-47088399106","27692907872","39484425456","10656000000"],"derived":{"al":[[2,1],[17,-1]],"fricke":-1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"34.8.a.c","letter":"c","dim":1,"charpoly":["-30","1"],"traces":["1","8","-42","64","72","-336","-580","512","-423","576","-3906","-2688","-14086","-4640","-3024","4096","-4913","-3384","7172","4608","24360","-31248","45696","-21504","-72941","-112688","109620","-37120","-58680","-24192","-18340","32768","164052","-39304","-41760","-27072","210596","57376","591612","36864","339270","194880","141248","-249984","-30456","365568","735456","-172032","-487143","-583528","206346","-901504","-1608798","876960","-281232","-296960","-301224","-469440","-1465320","-193536","411812","-146720","245340","262144","-1014192","1312416","-1232464","-314432","-1919232","-334080","1750560","-216576","-1844638","1684768","3063522","459008","2265480","4732896","-8487928","294912","-3678939","2714160","3897192","1559040","-353736","1129984","2464560","-1999872","4278186","-243648","8169880","2924544","770280","5883648","516384","-1376256","4004462","-3897144","1652238","-4668224","-19612902","1650768","-1588000","-7212032","1753920","-12870384","5075442","7015680","23065976","-2249856","-8845032","-2375680","-13680294","-2409792","3290112","-3755520","5958378","-11722560","2849540","-1548288","-4230335","3294496","-14249340","-1173760","-10876752","1962720","28427792","2097152","-5932416","-8113536","-19269774","10499328","-4159760","-9859712","7892640","-2515456","-4883946","-15353856","42307130","-2672640","-30889152","14004480","55019916","-1732608","-4224960","-14757104","20460006","13478144","-61108818","24508176","-7424128","3672064","2078199","18123840","-1320480","37863168","-33393562","-67903424","67569516","2359296","-26503680","-29431512","64748378","21713280","11811744","31177536","-20280852","12472320","135666879","-2829888","-3033756","9039872","-53491680","19716480","42305780","-15998976","61543440","34225488","-142704588","-1949184","-109073308","65359040","-17296104","23396352","15162912","6162240","19190178","47069184","-63579600","4131072","-148524600","-11010048","-182960842","32035696","42596064","-31177152","-175630116","13217904","47755568","-37345792","51763488","-156903216","34034400","13206144","24427440","-12704000","-19329408","-57696256","-28013832","14031360","-62590354","-102963072","-73523520","40603536","10169856","56125440","10637200","184527808","77474796","-17998848","69204518","-70760256","304552520","-19005440","30854043","-109442352","144414642","-19278336","286982582","26320896","-95150160","-30044160","232847826","47667024","52952832","-93780480","356492976","22796320","-183690120","-12386304","272255030","-33842680","-85223502","26355968","-35074296","-113994720","-101024792","-9390080","-163682064","-87014016","-291840288","15701760","-178488576","227422336","14856912","16777216","417430566","-47459328","-122145680","-64908288","24821640","-154158192","-144571704","83994624","-115833456","-33278080","-179683812","-78877696","386026224","63141120","190004744","-20123648","-343134960","-39071568","284907546","-122830848","-45078064","338457040","7757820","-21381120","67852182","-247113216","-428651002","112035840","-21688128","440159328","-196776600","-13860864","24137569","-33799680","-168187404","-118056832","-338468562","163680048","-105503040","107825152","-428175720","-488870544","-643673856","196065408","-81923840","-59393024","823741884","29376512","29650464","16625592","-787365988","144990720","66696000","-10563840","828333036","302905344","387852734","-267148496","17664480","-543227392","-76258500","540556128","229204080","18874368","-213168564","-212029440","-35236036","-235452096","1027446926","517987024","-968770992","173706240","-426564480","94493952","-642753688","249420288","-89082108","-162246816","-88737408","99778560","457630826","1085335032","574572348","-22639104","71636040","-24270048","760197880","72318976","-138184704","-427933440","687338250","157731840","176552882","338446240","-1544107320","-127991808","798310566","492347520","126040320","273803904","-119680680","-1141636704","394043688","-15593472","-842434155","-872586464","177674070","522872320","-132813936","-138368832","-54590320","187170816","-143511210","121303296","933102840","49297920","604238738","153521424","456823584","376553472","826566480","-508636800","-1603189210","33048576","-1193967264","-1188196800","802936104","-88080384","163114560","-1463686736","-59747904","256285568","30612390","340768512","-224504448","-249417216","809330508","-1405040928","-611130816","105743232","2266013756","382044544","174709920","-298766336","-628739010","414107904","258337240","-1255225728","-264883608","272275200","-822587976","105649152","-142728634","195419520","205125732","-101632000","849885600","-154635264","280597824","-461570048","-1776899460","-224110656","-2710108710","112250880","428104010","-500722832","-311097888","-823704576","358359133","-588188160","-238850960","324828288","-2310836472","81358848","-1824072456","449003520","1889004770","85097600","177448320","1476222464","327731712","619798368","2844988424","-143990784","206061489","553636144","1751335200","-566082048","308029392","2436420160","2566570356","-152043520","-1292357874","246832344","-1325188620","-875538816","311813376","1155317136","588231360","-154226688","-2977027894","2295860656","-538563060","210567168","-1197652110","-761201280","3073660208","-240353280","55460160","1862782608","2948989332","381336192","714829120","423622656","1402529604","-750243840","-551714688","2851943808","-523132852","182370560","680521554","-1469520960","-557210568","-99090432","-2966455256","2178040240","1113154560","-270741440","288321264","-681788016","3362817416","210847744","-2719431876","-280594368","-4460319828","-911957760","288294840","-808198336","118961136","-75120640","-1015324800","-1309456512","-995910682","-696112128","851795784","-2334722304","1391191464","125614080","-1412128944","-1427908608","-5698008918","1819378688","2090062902","118855296","1069890040","134217728","786194640","3339444528","-114336000","-379674624","-2872691136","-977165440","2246650560","-519266304","-3946717362","198573120","-2812950808","-1233265536","-1776842760","-1156573632","90104420","671956992","-1316701031","-926667648","619830360","-266224640","-4778957220","-1437470496","365431824","-631021568","5993592696","3088209792","1902780558","505128960","-6833429764","1520037952","4581078936","-160989184","1660750272","-2745079680","2509624826","-312572544","-174196476","2279260368","-420852960","-982646784","4922998240","-360624512","-636842304","2707656320","2009288442","62062560","-1989619328","-171048960","-805987476","542817456","-1381106064","-1976905728","-984981168","-3429208016","2133784620","896286720","5508758226","-173505024","1867717970","3521274624","6238033200","-1574212800","-3333111936","-110886912","-6729187858","193100552","7684355364","-270397440","-2260371360","-1345499232","6283964988","-944454656","429003216","-2707748496","-6310569468","1309440384","-131534480","-844024320","7376464872","862601216","5726886786","-3425405760","205166880","-3910964352","-2005733856","-5149390848","5227879032","1568523264","-3040842382","-655390720","521332272","-475144192","-304584120","6589935072","-8925894124","235012096","-1429444800","237203712","-10359633216","133004736","5181995414","-6298927904","-1025952480","1159925760","4086820962","533568000","2076034706","-84510720","5009195520","6626664288","-2481347880","2423242752","4915389481","3102821872","1176580944","-2137187968","-1034658148","141315840","8293060088","-4345819136","2628794868","-610068000","2046801024","4324449024","6861896298","1833632640","-740486880","150994944","-8232604242","-1705348512","-11467996762","-1696235520","-427133952","-281888288","-574625376","-1883616768","5723539920","8219575408","-446762400","4143896192","-1177077120","-7750167936","-1387423728","1389649920","780281874","-3412515840","-6981509124","755951616","719726234","-5142029504","-2906589756","1995362304","-299502720","-712656864","-2681441280","-1297974528","-12791205840","-709899264","-1608537672","798228480","-745133530","3661046608","-7995792420","8682680256","-8266917828","4596578784","-2322587960","-181112832","-6065414964","573088320","-8897886570","-194160384","-351644112","6081583040","-12053268444","578551808","22661528628","-1105477632","-10246484626","-3423467520","-958298040","5498706000","3046113360","1261854720","-1666833510","1412423056","-9779608692","2707569920","10727323338","-12352858560","1510394512","-1023934464","-2224018944","6386484528","11375483160","3938780160","-17571356968","1008322560","3590393544","2190431232","-838064640","-957445440","3961433952","-9133093632","7714985040","3152349504","13583868432","-124747776","921040000","-6739473240","-11434711260","-6980691712","4280177880","1421392560","3376621592","4182978560","11625226677","-1062511488","-693951424","-1106950656","577021538","-436722560","1473120432","1497366528","4814004384","-1148089680","15442898876","970426368","4243041264","7464822720","2774640732","394383360","-4399834896","4833909904","-1648512216","1228171392","-2943756360","3654588672","-7828019704","3012427776","12257292096","6612531840","-534537216","-4069094400","13990929950","-12825513680","7496520192","264388608","8175205494","-9551738112","-13378266080","-9505574400","149630328","6423488832","20640497520","-704643072","-16505418802","1304916480","-17532083772","-11709493888","3899522622","-477983232","1337737940","2050284544","5130118560","244899120","2433244440","2726148096","-6837687360","-1796035584","-6432501600","-1995337728","-2404336464","6474644064","23569324106","-11240327424","6072011568","-4889046528","7934570520","845945856","-5800783832","18128110048","4865005152","3056356352","-7407928542","1397679360","-3613295328","-2390130688","-1809672678","-5029912080","7205156028","3312863232","-1908264960","2066697920","-16213101408","-10041805824","3385184190","-2119068864","10749439358","2178201600","-7980199248","-6580703808","4661883216","845193216","1013030656","-1141829072","-3455859240","1563356160","-12750560532","1641005856","-24431761072","-813056000","-11966116932","6799084800","-4179188994","-1237082112","-1828560658","2244782592","1893278688","-3692560384","2393333559","-14215195680","-1460221344","-1792885248","-2010430800","-21680869680","1800885564","898007040","-13806533909","3424832080","-2849791644","-4005782656","9768015288","-2488783104","2453594300","-6589636608","18003342084","2866873064","9623394816","-4705505280","634499360","-1910807680","-218430432","2598626304","-15874647474","-18486691776","-22467188248","650870784","8264617200","-14592579648","-35521997424","3592028160","-3851400960","15112038160","-1013777898","680780800","33153846768","1419586560","17360487904","11809779712","-1693887426","2621853696","6308516160","4958386944","-16695942520","22759907392","14215679604","-1151926272","-2129454702","1648491912","18858456632","4429089152","4431127680","14010681600","6399617112","-4528656384","-16488119360","2464235136","14369935734","19491361280","5274690432","20532562848","-10274730336","-1216348160","27034301952","-10338862992","1076191200","1974658752","7904024574","-10601508960","3440801280","-7004310528","-7853278176","2494507008","16828141214","9242537088","8296257546","4705850880","-19007654772","-1233813504","-15222431952","-23816223152","-1245319488","18366885248","11176468920","-4308504480","28160446376","1684537344","33069371496","-9581216880","-24658388160","-6089610240","-15361082836","24589281664","671724000","-1922826240","-21556425906","443681280","-3493789596","14902260864","-34789987512","23591914656","1381692816","3050689536","-35347836298","5718632960","-16289814828","3388981248","17645124900","11220236832","15503281920","-6001950720","-4577731200","-4413717504","29811441642","22815550464","25983570868","-4185062816","3202857000","1458964480","-44116159662","5444172432","-10693771200","-11756167680","-9626571360","-4457684544","2832688680","-792723456","-27176258511","-23731642048","-2146911966","17424321920","-13173180624","8905236480","11413970888","-2165931520","1479913512","2306570112","-33724434048","-5454304128","-24538135400","26902539328","-43152770892","1686781952","22231322826","-21755455008","-16710594516","-2244754944","-9756907848","-35682558624","59428324320","-7295662080","-12645368352","2306358720","17915708160","-6465586688","6454468608","951689088","-1645422064","-600965120","26995654896","-8122598400","3438400896","-10475652096","45613419596","-7967285456","23085533520","-5568897024"],"derived":{"al":[[2,-1],[17,1]],"fricke":-1,"sign":-1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"34.8.a.d","letter":"d","dim":2,"charpoly":["-88756","-312","1"],"traces":["2","-16","16","128","296","-128","-1136","-1024","370","-2368","2624","1024","10756","9088","30064","8192","-9826","-2960","92504","18944","55536","-20992","58032","-8192","53734","-86048","41824","-72704","28968","-240512","-274384","-65536","-232888","78608","219616","23680","-410160","-740032","-117056","-151552","579164","-444288","212600","167936","497896","-464256","464384","65536","-97102","-429872","-78608","688384","1932308","-334592","-1134928","581632","19936","-231744","651576","1924096","-2369936","2195072","823824","524288","373264","1863104","-2232984","-628864","3953952","-1756928","2962992","-189440","-7004844","3281280","8627888","5920256","-5044752","936448","-240784","1212416","-9124982","-4633312","-2575352","3554304","-1454248","-1700800","-12739216","-1343488","916724","-3983168","-8952864","3714048","-8002000","-3715072","9370016","-524288","-22774340","776816","-3576640","3438976","-2353404","628864","15831920","-5507072","-4410048","-15458464","28635056","2676736","21020232","9079424","2045584","-4653056","-1485708","-159488","29526912","1853952","-1259804","-5212608","5581168","-15392768","-21568254","18959488","41801344","-17560576","34015728","-6590592","54355136","-4194304","50436528","-2986112","76879744","-14904832","-62623616","17863872","-45712352","5030912","35280940","-31631616","-9277424","14055424","-96138240","-23703936","25282592","1515520","-73538496","56038752","-74189680","-26250240","-29375620","-69023104","-21172752","-47362048","-1817810","40358016","-75450400","-7491584","-30545876","1926272","33867072","-9699328","15893568","72999856","64218784","37066496","-10316512","20602816","-33915888","-28434432","-58714690","11633984","5591704","13606400","-79317704","101913728","84251312","10747904","-63611952","-7333792","141070776","31865344","83873808","71622912","-160126000","-29712384","-28742496","64016000","-12891712","29720576","-144861408","-74960128","174212928","4194304","-60589524","182194720","121875808","-6214528","134940192","28613120","70287440","-27511808","-338389680","18827232","-198047264","-5030912","308724464","-126655360","66571056","44056576","160970528","35280384","3956176","123667712","-28198368","-229080448","323879168","-21413888","74553120","-168161856","38663104","-72635392","-52844228","-16364672","-302146560","37224448","141109046","11885664","-121359456","1275904","358634732","-236215296","188632512","-14831616","-256423660","10078432","-530391040","41700864","-172090496","-44649344","171442496","123142144","-200248564","172546032","-298665296","-151675904","-454848280","-334410752","529170736","140484608","563662768","-272125824","274109752","52724736","-115795296","-434841088","-147704432","33554432","255535724","-403492224","307546976","23888896","-202176280","-615037952","-489785264","119238656","396433232","500988928","-852165408","-142910976","-207004392","365698816","89139552","-40247296","391288032","-282247520","-380391872","253052928","603641752","74219392","-143671888","-112443392","633760332","769105920","-297322432","189631488","1249381312","-202260736","191387296","-12124160","48275138","588307968","-50177120","-448310016","521629724","593517440","-316514112","210001920","530644208","235004960","158549472","552184832","561543392","169382016","-1025613760","378896384","-1197749600","14542480","472378296","-322864128","-807419936","603603200","-21179952","59932672","-1418743156","244367008","-58042656","-15410176","-24130784","-270936576","751408816","77594624","763774808","-127148544","-454472152","-583998848","-71731252","-513750272","1339914992","-296531968","-1661716480","82532096","-73111272","-164822528","9350224","271327104","-2253636480","227475456","-1176814412","469717520","-2230593760","-93071872","-40610768","-44733632","-37081312","-108851200","1556317440","634541632","-2353992880","-815309824","2220374132","-674010496","605546368","-85983232","-1461477908","508895616","127108992","58670336","-272848368","-1128566208","-287866608","-254922752","2603086506","-670990464","-838727152","-572983296","-468505776","1281008000","1164006160","237699072","701833852","229939968","-839830432","-512128000","1616730388","103133696","65790624","-237764608","726512144","1158891264","3590257216","599681024","-252499776","-1393703424","1537123168","-33554432","627319872","484716192","819102648","-1457557760","-2510934612","-975006464","-285111216","49716224","578474616","-1079521536","-1056621376","-228904960","1528520448","-562299520","2897014848","220094464","3655122172","2707117440","-1220132320","-150617856","-2155675448","1584378112","-831107440","40247296","2834205036","-2469795712","1447990624","1013242880","-1333639008","-532568448","3124441408","-352452608","-1025120008","-1287764224","-363124736","-282243072","-1245481564","-31649408","-1511741952","-989341696","-263995142","225586944","-630207520","1832643584","-1429578352","-2591033344","2473565072","171311104","-509210684","-596424960","-2106861184","1345294848","2139703488","-309304832","-239640432","581083136","-1192569694","422753824","-830464264","130917376","-5021320048","2417172480","3519280160","-297795584","-3041233028","-1128872368","-1284378592","-95085312","-5238359328","970875648","1452441792","-10207232","1699309076","-2869077856","-205481312","1889722368","3432079540","-1509060096","-2743332992","118652928","-5262698176","2051389280","2932548888","-80627456","-3219026400","4243128320","1825041184","-333606912","-2401533840","1376723968","1206414472","357194752","652014708","-1371539968","3083979824","-985137152","-2440222496","1601988512","20131200","-1380368256","-2578496720","2389322368","-2320012944","1213407232","-1201098344","3638786240","-2654667448","2675286016","-142319784","-4233365888","-229755088","-1123876864","-2409611712","-4509302144","-3589050480","2177006592","4434066352","-2192878016","7462076336","-421797888","-6389022960","926362368","-2654304144","3478728704","3150452428","1181635456","5304577376","-268435456","3283903552","-2044285792","-3261327616","3227937792","6101203968","-2460375808","-1591429200","-191111168","-5016555060","1617410240","-3735667752","4920303616","-2246209584","3918282112","1348048592","-953909248","-2487584206","-3171465856","-980651400","-4007911424","1479350584","6817323264","7446154448","1143287808","4624189152","1656035136","3910309696","-2925590528","3694338368","-713116416","8439543056","321978368","10141513152","-3130304256","8320253920","2257980160","-2697102352","3043134976","3363297696","-2024423424","-2245533824","-4829134016","-5121459776","-593755136","7903599588","1149375104","-1001009232","899547136","1144178744","-5070082656","-2030837240","-6152847360","-13532133360","2378579456","3304240848","-1517051904","7166668932","-9995050496","-11904369744","1618085888","-2816402464","-1531098368","7756845840","96993280","-2816920900","-386201104","-8710871328","-4706463744","9642518112","401416960","1522714656","3586480128","1971288976","-4173037792","-2875364504","-4748139520","-11784928000","2532112896","-3643154224","-1680015360","-11490137276","-4245153664","-1078973408","-1880039680","14247022368","-1268395776","-1937406640","-4417478656","-9089925740","-4492347136","-5541514968","-1355056128","-7189188312","8204910080","5031412048","-3031171072","6719141184","9581996800","6891002880","-116339840","-14860129684","-3779026368","15990927520","2582913024","6126190452","6459359488","-4175811952","-4828825600","-5326125120","169439616","-12553688032","-479461376","-401652206","11349945248","-11399459488","-1954936064","2015116080","464341248","8490672368","123281408","-14185385944","193046272","3920514944","2167492608","2707951460","-6011270528","-282283344","-620756992","12557244316","-6110198464","5517381072","1017188352","12748005888","3635777216","-3238964432","4671990784","4640218512","573850016","-4971135744","4110002176","16334995480","-10719319936","11158822096","2372255744","219333556","13293731840","-6635761800","-660256768","-9063823868","584890176","575096128","1318580224","11119727488","-74801792","-8965510272","-2170616832","10805987296","18029091840","4654802128","-1819803648","2497411212","9414515296","-14239396576","-3757740160","3306453056","17844750080","14784071520","744574976","416910904","324886144","-7187601344","357869056","12216037744","296650496","-5215273760","870809600","9581973672","-12450539520","-18129781680","-5076333056","2730569328","18831943040","-7078462448","6522478592","-2845432732","-17762993056","13502222720","5392083968","-17689566908","-4844370944","-19801711104","687865856","-12590628864","11691823264","-12758277920","-4071164928","11941060392","-1016871936","-2767172624","-469362688","-12351563712","2182786944","-6049210912","9028529664","8331009312","2302932864","-10539354896","2039382016","-22069584704","-20824692048","-748914784","5367923712","-22258141704","6709817216","-4116144592","4583866368","14351373802","3748046208","-1044503800","-10248064000","17070273268","-9312049280","-15848558608","-1901592576","14699244432","-5614670816","641208664","-1839519744","-9033276608","6718643456","8057664816","4097024000","18178118960","-12933843104","8871809224","-825069568","-8778990768","-526324992","10201196752","1902116864","23608302256","-5812097152","-33547431168","-9271130112","572462332","-28722057728","-3714463296","-4797448192","7591707116","2019998208","4465052128","11149627392","-2446163048","-12296985344","6532456368","268435456","13203418076","-5018558976","-21227850592","-3877729536","-5304714148","-6552821184","-17684979056","11660462080","-13818372864","20087476896","20989280336","7800051712","6742072224","2280889728","24913357856","-397729792","7895659504","-4627796928","8898876160","8636172288","13601395072","8452971008","-30218031200","1831239680","-6534189280","-12228163584","32654541024","4498396160","-3715518860","-23176118784","-2281518592","-1760755712","-13582393260","-29240977376","-14398957408","-21656939520","1710144000","9761058560","29534009136","1204942848","20383315756","17245403584","-14381735360","-12675024896","38676448288","6648859520","-784711664","-321978368","2230401632","-22673640288","5750295264","19758365696","11073807392","-11583924992","27955981904","-8105943040","891668056","10669112064","10354989024","4260547584","-33322447108","-24995531264","-17590159440","2819620864","477062126","8200960064","23212809312","10302113792","5144264864","2904997888","11781312624","2257944576","2368217494","9963852512","20252254368","253195264","-21797293864","12093935616","2924232592","7914733568","39351708456","2111961136","-7874093376","-1804695552","1952648184","5041660160","20524191904","-14661148672","-28671015956","11436626816","-7801612456","20728266752","-866396640","-19788520576","24407669344","-1370488832","-17480345600","4073685472","386201104","4771399680","9043123712","16854889472","2094147600","-10762358784","-2100971300","-17117627904","-22209626304","2474438656","8312328520","1917123456","-11698099616","-4648665088","-62109381564","9540557552","281251496","-3382030592","-3695123328","6643714112","-35371619952","-1047339008","-40496489344","40170560384","-4591177024","-19337379840","37055805440","-28154241280","41852212512","2382364672","14142715200","24329864224","12343289824","9030978944","-9493429204","10275028736","-16320015168","760682496","59024639136","41906874624","-30072534944","-7767005184","-16543964188","-11619534336","-26413146192","81657856","-35513468944","-13594472608","-63293514304","22952622848","-44179581296","1643850496","30627448528","-15117778944","-65681876928","-27456636320","18218672352","12072480768","-1559258256","21946663936","-12016299536","-949223424","-33978046596","42101585408","6961245080","-16411114240","-478942416","-23460391104","5575901264","645019648","-47169992052","25752211200","5441087104","-33945026560","-49851446896","-14600329472","44904054816","2668855296","16149522816","19212270720","75345097760","-11013791744","-41838932696","-9651315776","-89277221040","-2857558016","7980827204","-5216117664","522878016","10972319744","-14683826912","-24671838592","-3719170464","7881097216","-10076823070","19521779968","13852595120","-12815908096","-58324180368","-161049600","41200064432","11042946048","-97945568","20627973760","-1857967080","-19114578944","-8043031792","18560103552","38058284864","-9707257856","54177777876","9608786752","48475197888","-29110289920","22636793096","21237339584","-62484234832","-21402288128","-8364906144","1138558272","58428125184","33866927104","43013011968","1838040704","-52335165392","8991014912","76778909776","19276893696","92510878208","36074417152","93100678976","28712403840","-18559809056","-17416052736"],"derived":{"al":[[2,1],[17,1]],"fricke":1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}},{"label":"34.8.a.e","letter":"e","dim":3,"charpoly":["9645976","-93748","-358","1"],"traces":["3","24","12","192","346","96","1200","1536","1487","2768","8356","768","15762","9600","15688","12288","14739","11896","2404","22144","-46112","66848","-1344","6144","41861","126096","-8424","76800","37938","125504","-286472","98304","-343536","117912","-584896","95168","-327046","19232","-794392","177152","-761234","-368896","-1075172","534784","-1282558","-10752","-199760","49152","230171","334888","58956","1008768","882970","-67392","2397272","614400","1863184","303504","1364076","1004032","5059506","-2291776","4945104","786432","3446108","-2748288","917348","943296","-587424","-4679168","1521984","761344","4677902","-2616368","-602092","153856","-581280","-6355136","-6817544","1417216","-6519301","-6089872","-5475580","-2951168","1699898","-8601376","-20704664","4278272","-1842626","-10260464","2277568","-86016","12783296","-1598080","1905400","393216","8331174","1841368","-11170476","2679104","14893578","471648","-1815032","8070144","11285632","7063760","-11920172","-539136","34832162","19178176","-25225464","4915200","877686","14905472","-51144672","2428032","-15589030","10912608","5895600","8032256","3650599","40476048","-34477448","-18334208","64094916","39560832","-21729872","6291456","7468272","27568864","36245996","-21986304","-5776384","7338784","-24456560","7546368","91948334","-4699392","-43272204","-37433344","-24943168","12175872","115918264","6090752","-123329700","37423216","-85892916","-20930944","30358810","-4816736","-78689080","1230848","7305631","-4650240","-14246288","-50841088","-167357310","-54540352","-86918104","11337728","153013440","-52154408","-117045156","-48718976","67216416","-43804640","99298272","-23609344","33888317","13599184","15744564","-68811008","217971842","-165637312","-241380656","34226176","243322032","-14741008","-63705564","-82083712","-42249430","18220544","-47809944","-688128","141863244","102266368","41053028","-12784640","70318912","15243200","18840000","3145728","148338182","66649392","139189104","14730944","213709242","-89363808","42857920","21432832","334153232","119148624","419147264","3773184","-202586908","-14520256","348112800","64561152","-97504592","90285056","226235628","56510080","-225308256","-95361376","-473889272","-4313088","-184898432","278657296","-386972232","153425408","77438706","-201803712","-55663792","39321600","-594111783","7021488","-143358660","119243776","-460156118","-409157376","-466405344","19424256","-153946322","-124712240","432859424","87300864","157859776","47164800","-530168624","64258048","15739318","29204792","75977604","323808384","-292011542","-275819584","-211325416","-146673664","-690415728","512759328","87257564","316486656","-475807008","-173838976","77075144","50331648","566506630","59746176","-645648768","220550912","620751290","289967968","-131638888","-175890432","-912603892","-46211072","905454488","58710272","926378658","-195652480","1068123824","60370944","-1032243776","735586672","1029598652","-37595136","184427562","-346177632","-78540424","-299466752","406912254","-199545344","-255622220","97406976","-120434720","927346112","71312672","48726016","72412707","-986637600","2219335832","299385728","-1739142806","-687143328","483993960","-167447552","-48133728","242870480","-693911904","-38533888","607820544","-629512640","1617879496","9846784","943013852","58445048","37884788","-37201920","1129636768","-113970304","125870160","-406728704","-669016706","-1338858480","462048128","-436322816","-1820356942","-695344832","184284856","90701824","424209360","1224107520","11810852","-417235264","1617528478","-936361248","-1408446872","-389751808","-1423455104","537731328","-3781060","-350437120","-1754025566","794386176","-892387656","-188874752","1800985686","271106536","2664736024","108793472","-1515382144","125956512","146304192","-550488064","135694464","1743774736","29155924","-1325098496","-1277781278","-1931045248","36759248","273809408","-1322730394","1946576256","-1781560608","-117928064","-226548256","-509644512","1393570872","-656669696","-2236736193","-337995440","-673418244","145764352","-915057372","-382479552","-2473448616","-5505024","-13834714","1134905952","3486957280","818130944","30594330","328424224","-1125448752","-102277120","1078507756","562551296","2389042596","121945600","1530158976","150720000","-4065188560","25165824","-3316495872","1186705456","2081041228","533195136","-445782582","1113512832","-6603072","117847552","1881899440","1709673936","-610604240","-714910464","-984542014","342863360","1737690048","171462656","1639120214","2673225856","-3089732304","953188992","3034219946","3353178112","2439516568","30185472","2175022526","-1620695264","2106505176","-116162048","-672246912","2784902400","-1395192392","516489216","1472933328","-780036736","-871523236","722280448","3291603658","1809885024","-3628321040","452080640","205663093","-1802466048","1013397888","-762891008","-1338458784","-3791114176","-59357096","-34504704","93021942","-1479187456","1913750000","2229258368","263656512","-3095777856","-5321986192","1227403264","1128603207","619509648","-793832708","-1614429696","1213707140","-445310336","-3274384920","314572800","3265150982","-4752894264","-1225089688","56171904","-7493110816","-1146869280","-6101412288","953950208","-3437656082","-3681248944","-41387112","-3273259008","3239259602","-3731242752","-4594589520","155394048","-2510687424","-1231570576","4583543556","-997697920","3031020736","3462875392","2570218376","698406912","-7258555824","1262878208","-846146820","377318400","6272437378","-4241348992","3330311224","514064384","4180354076","125914544","-1192824864","233638336","6973629044","607820832","-7720825552","2590467072","2091554480","-2336092336","2129858524","-2206556672","186389394","-1690603328","-7846450056","-1173389312","6711478080","-5523325824","4589329580","4102074624","8576864864","698060512","45905632","2531893248","5867772012","-3806456064","-4420627340","-1390711808","-2048422942","616601152","6640570848","402653184","-614320352","4532053040","9816114928","477969408","5571954240","-5165190144","-1438937816","1764407296","2318836302","4966010320","-1822779220","2319743744","-249535968","-1053111104","-1407436936","-1407123456","1666377291","-7300831136","1719553500","-369688576","-1509435628","7243635904","5973270584","469682176","4802442768","7411029264","3098407652","-1565219840","-6746000270","8544990592","-12067403960","482967552","5411246460","-8257950208","4895966124","5884693376","-961232198","8236789216","-4078635624","-300761088","-3439205056","1475420496","-395188048","-2769421056","-5471198094","-628323392","-12474285848","-2395734016","-1687792368","3255298032","-8365703452","-1596362752","-2923689132","-2044977760","-14049689904","779255808","10226324382","-963477760","13195012628","7418768896","-10865880320","570501376","-20741533632","389808128","-10448572346","579301656","3962608856","-7893100800","769307904","17754686656","-1805782920","2395085824","-13696598964","-13913142448","17161805468","-5497146624","3046671840","3871951680","-1206963512","-1339580416","-8547603946","-385069824","-2873594048","1942963840","-7113512928","-5551295232","2554733080","-308271104","3612232542","4862564352","12068791796","-5036101120","10248121938","12943035968","-16433117544","78774272","-21973469696","7544110816","9024250272","467560384","5652498922","303078304","-1550887984","-297615360","1701126702","9037094144","-5097813212","-911762432","4434745920","1006961280","-5928545408","-3253829632","15549637271","-5352133648","955659648","-10710867840","-1606776998","3696385024","-2438406200","-3490582528","-3819740880","-14562855536","-10328367776","-5562758656","8063971874","1474278848","11214522720","725614592","-6450088762","3393674880","-2966893684","9792860160","-5746487776","94486816","7153531976","-3337882112","-8395160688","12940227824","17824588960","-7490889984","-8818203262","-11267574976","6087622792","-3118014464","6821134150","-11387640832","23635127220","4301850624","4294044474","-30248480","-3902847896","-2803496960","3524487680","-14032204528","22928537952","6355089408","-17569205760","-7139101248","22110370232","-1510998016","19528273766","14407885488","-7171132120","2168852288","-17506882502","21317888192","-16891842464","870347776","31444381616","-12123057152","2031336692","1007652096","17893852324","1170433536","-4515172280","-4403904512","1542825756","1085555712","20370631052","13950197888","15960940128","233247392","12407210360","-10600787968","-3739942642","-10222250224","20255654904","-15448361984","7018561154","294073984","-7582384136","2190475264","-266319488","-10581843152","-8051012032","15572610048","-6847650598","-14252484864","-2017210824","-943424512","563427648","-1812386048","25962091856","-4077156096","-24212020672","11148566976","10695436904","-5253357568","-31939255552","-17893889544","33526388120","-2703963520","-35076606210","-5387345952","6163930936","1166114816","-21417911161","-7320458976","-5282320036","-3059836416","19453628130","-19787588928","7917708744","-44040192","-28908214224","-110677712","-19762139436","9079247616","2943723232","27895658240","-9048616608","6545047552","-18280029940","244754640","-6727521708","2627393792","-27284150112","-9003590016","9996947304","-818216960","8936156400","8628062048","-29934661968","4500410368","2134425402","19112340768","-22190737248","975564800","-22573314722","12241271808","11298828992","1205760000","-6301207454","-32521508480","-19807094328","201326592","4432816966","-26531966976","-4550065800","9493643648","-22857050294","16648329824","-7879760568","4265561088","-15264258688","-3566260656","-7424070104","8908102656","-290975712","-52824576","15918237904","942780416","-8534722756","15055195520","-7504450596","13677391488","-28212605664","-4884833920","6764595872","-5719283712","41093334636","-7876336112","12977722864","2742906880","-30249301726","13901520384","-981420880","1371701248","1882658230","13112961712","24853211944","21385806848","24045402432","-24717858432","-3644072856","7625511936","-22730386834","24273759568","6776003892","26825424896","18000648768","19516132544","-15439792792","241483776","4832681808","17400180208","31098600448","-12965562112","51134242954","16852041408","33205983424","-929296384","32529119856","-5377975296","-21677300940","22279219200","-10249779038","-11161539136","-12176838968","4131913728","1130830123","11783466624","62542293024","-6240293888","-4312251904","-6972185888","8729502864","5778243584","41891478125","26332829264","-11326804872","14479080192","16362892582","-29026568320","-27332998320","3616645120","35131834320","1645304744","-50809512864","-14419728384","51184824554","8107183104","5298287960","-6103128064","-20794178530","-10707670272","-32802068276","-30328913408","-19526768576","-474856768","13709569664","-276037632","-22770599492","744175536","289650828","-11833499648","-29265721088","15310000000","-54437915048","17834066944","-7355727682","2109252096","-7263447936","-24766222848","24430054434","-42575889536","-796119512","9819226112","43985010678","9028825656","-20373055148","4956077184","-10170733920","-6350661664","-21346286064","-12915437568","13157540352","9709657120","14266651428","-3562482688","-9746717120","-26195079360","-10095469320","2516582400","-46602769728","26121207856","-37314827536","-38023154112","4338031610","-9800717504","23111027264","449375232","11012170092","-59944886528","-18514280412","-9174954240","148200626","-48811298304","17501523960","7631601664","20565301040","-27501248656","30502232816","-29449991552","7039729184","-331096896","-18330135912","-26186072064","-29099104816","25914076816","9647152224","-29849942016","90233364854","-36756716160","-55161234648","1243152384","-40536110106","-20085499392","-18623238460","-9852564608","71813261472","36668348448","11777797336","-7981583360","16332309326","24248165888","-68033947592","27703003136","19754045986","20561747008","16513748160","5587255296","4916085760","-58068446592","50448531004","10103025664","57120700628","-6769174560","62624815912","3018547200","2160330334","50179499024","-22675795968","-33930791936","-65777634528","26642489792","13173188352","4112515072","-30752424157","33442832608","-50738417532","1007316352","36385270068","-9542598912","975160792","1869106688","9153822992","55789032352","-19104793188","4862566656","-71148717408","-61766604416","66401428184","20723736576","-16004308842","16732435840","-50203718712","-18688738688","-14161275414","17038868192","75565185040","-17652453376","93567490764","1491115152","-13843221376","-13524826624","87535588032","-62771600448","-143339840520","-9387114496","118117709040","53691824640","-20965362080","-44186606592","-9951211622","36714636640","-8091599856","32816596992"],"derived":{"al":[[2,-1],[17,-1]],"fricke":1,"sign":1,"cm":null,"cmInert":0,"cmExact":0}}],"seconds":0.277,"computed":"atlas","estimate":{"seconds":0.418,"low":0.255,"high":0.724,"bytes":1899800},"url":"https://sagebrush.space/atlas/mf/34.8.a"}