# Stored data for newspace 8.13.d, downloaded from the LMFDB on 24 April 2024.
{"label": "8.13.d", "level": 8, "weight": 13, "char_conductor": 8, "char_degree": 1, "char_parity": -1, "sturm_bound": 13, "dim": 11, "eis_dim": 2, "eis_new_dim": 2, "cusp_dim": 11, "mf_dim": 13, "char_order": 2, "char_orbit_label": "d", "char_is_real": true, "trace_bound": 1, "num_forms": 2, "Nk2": 1352, "analytic_conductor": 7.311950538210285, "level_radical": 2, "mf_new_dim": 13, "char_values": [8, 2, [7, 5], [1, 1]], "hecke_orbit_dims": [1, 10], "trace_display": [-46, -2, 0, 0], "traces": [11, -46, -2, 1652, 0, -88676, 0, 289304, 1594321, 1873200, -2668322, -2732552, 0, 12728736, 0, -21516784, -2419562, 1926742, -51868610, 17615520, 0, -103924772, 0, 341593744, -462805765, 151295184, 967927996, -132075840, 0, 456064800, 0, -1577462176, 787396076, 1555715044, -2838470400, -4478101220, 0, -3983433572, 0, 8180322240, -3710988362, 14692585920, 18050876638, -20073482120, 0, -16813594656, 0, 24349522528, -25691199637, 40513425650, 6952490492, -36172521120, 0, -100535014088, 0, 154450364544, 22549744556, 193270394640, -100809712226, -347360715840, 0, -299237961600, 0, 344932668992, 96485235840, 567267337352, 125184923518, -482345621912, 0, -799057954560, 0, 1051757829832, -9696103562, 742739480496, -91148212130, -1059904664072, 0, -1795838526240, 0, 1981932232320, 39118873879, 2206318374628, -339177211202, -3144240693120, 0, -2711857667492, 0, 2674492705168, 47015069110, 3983485096080, 361546645248, -2649411172800, 0, -2517413216064, 0, 3543110668864, 182261693398, 3263732873234, -906543916678, -3855448648780, 0, -3778798819144, 0, 3108899797056, -620289108480, 2274256483824, 2486229256798, -3484005764624, 0, -3193494432480, 0, 1812185445120, -5353195654442, 1156833955592, 6172076071680, 906183756000, 0, 3507870279388, 0, -8463454611840, 2593346861169, -7130839889520, -12465015230404, 12794799179520, 0, 19665672440544, 0, -19624464747136, 16513118937068, -23444975295360, 4221286786942, 24256742059856, 0, 27575315679004, 0, -17392126724816, -10831772988362, -34542428203200, -8448992396450, 38102036405760, 0, 22680001963680, 0, -57858335013584, -20996627306880, -44499358163036, 9478648259518, 52053290651040, 0, 60073216226140, 0, -31938237733232, 24073688638754, -68010212432448, -12696293698560, 71997240175680, 0, 64040476887360, 0, -73898981157120, 27092357872128, -71990149301990, 23526579139198, 45766490376040, 0, 48463495631644, 0, -54896530832640, -620277451237, 3987520564320, -48419383449190, -7168230455432, 0, 16881891777120, 0, 18346523364448, -50872017048724, 67986870959908, 90905150532670, -90405200409120, 0, -76894677653760, 0, 35014423115136, -47359471962240, 74537126019840, -133055515437124, -33574026003840, 0, -110737225978080, 0, 242399534869888, 6053387478358, 92424810686308, 365597580829440, -208180904658700, 0, -265404576929836, 0, 262379352745880, -37519064988628, 305745345455280, -481070672098560, -269531289299728, 0, -288061655376096, 0, 244424902988160, 115076205994604, 566235915548160, 457050578066878, -534197987508960, 0, -352902153843236, 0, 526796088592672, 110441453721600, 434240374574160, -670037942739268, -518569360879680, 0, -681709347594720, 0, 322253624111616, -85804182965855, 171213675735844, 629347069238398, -209120222521264, 0, -339648246570240, 0, 486714694067520, 173003824913398, -60605747458704, -912192683450880, -114725516315528, 0, 23548647616320, 0, 140094590764800, 38993697563158, 350464823344662, 1477766248987834, 375622681398240, 0, 12331358292152, 0, -258515764876800, -301678889407828, 34180023972960, -1643139362406242, 80913969115200, 0, 429926378835456, 0, -473490429992704, -389569111321322, -995714243820664, 2334678352173312, 476216790163200, 0, 928475948221468, 0, -1426425697310368, 177642767671680, -981148739522112, -3770207220868804, 885772210680568, 0, 1904622755780160, 0, -1393299252657632, 1005993095784960, -1659886635674396, 4142001497401150, 2504123931073920, 0, 1990378602288988, 0, -2700313788779520, -488137105891658, -2159610846276480, -4674317190588002, 2165953168647360, 0, 2061908446734048, 0, -2229149583112928, -1436871393747999, -2253249964978560, 7512326246500988, 1810787745229288, 0, 2422777693506844, 0, -983618252283456, -61616534049448, -1572272332970640, -6288409377946368, 2335727625929080, 0, 22684245780960, 0, -1298521177642400, 774857225185920, -1748044588018324, 8125838851139518, 195997955725440, 0, 1427954212008960, 0, -1913596816533120, 277920500292598, -1276665481381104, -13289233273171200, 1149707912319360, 0, 1894110483710880, 0, 1710878446471680, 1444719293792492, 599042427148800, 7808614556319356, -408277299589820, 0, -2531337243959396, 0, -390516379470032, 1650320140280832, 2398291998463680, -9257182074896162, -2042750140518152, 0, -2570304538274784, 0, 3294092317463040, -3712379717206442, 4811493959900594, 14061380070984572, -3130590880870080, 0, -4298376847627756, 0, 7872226766934928, 1493472398922240, 4097269773731664, -12304583242829282, -9477620997478080, 0, -9021445911911520, 0, 7299990856564288, 3831225730640278, 8867129766718088, 17732398654613760, -6669494089933592, 0, -7462402775043812, 0, 10110206572004160, -5585360477892591, 8047067485221360, -23233677256055526, -9335429914172928, 0, -10054411663378080, 0, 6082554199507200, -2022390313484158, 3379703344590720, 21773447682041088, -4280339181811200, 0, -10290294455771848, 0, 4570504624045824, -1277995313854080, 9636649149559680, -19741202796490850, -10997814406317120, 0, 2484424252266240, 0, 2183063746818304, 5304199016117760, 14987945669351524, 27652632178851194, -8932040055314072, 0, -4000817638790400, 0, 9907555513468184, 3442317434406956, 7251024786398256, -28560803151859200, 395206017972200, 0, -4444268056714080, 0, -1659624005724400, -8077958582262122, -10564231166264824, 21462390459264000, -13426654394625120, 0, 4970376249250560, 0, -216092817505504, 1935151648542070, 869142992277600, -18983990509911748, 23047911141366720, 0, 679276877701536, 0, 2844558527203584, -6972213413252884, -8854981633871224, 17589206429125630, 23418227620377600, 0, 2806574330872348, 0, -24857655235723584, 867445325256310, -38359658119602240, -11694529014693120, 9109066167113848, 0, 28743788884273440, 0, -30171968215049024, 7398648419702038, -10587314756413440, 9336195636084480, 19116686676171360, 0, 39414491787736376, 0, -18637764909920640, -3373690791059471, -27291327700998240, -8655576836767202, 35527955538824640, 0, 6069802319639424, 0, -33577795173995520, 15920290628044630, -35819144424708170, -10338849481406980, 9282992987333608, 0, 34332605600707228, 0, -30645310407272608, 10387466759540278, 255605125909680, 14141481669152120, 31725352898112000, 0, 43207970467390080, 0, 11755435495743360, 6725427365591040, -39846031800073052, -34237528273368002, 52000049602836000, 0, -917000395706880, 0, -39494884499392112, -6014552302593364, -38636593322678400, 30285275875346590, -4343326227077760, 0, 21235203333474240, 0, -54865557570393600, -30271168422471552, 6176514748587748, -26301892572595200, 24919887491114652, 0, 27945305589502036, 0, 29530915887839040, -5847193995635668, -20921356988060880, 48739835194693342, 13801787891995376, 0, -29850357386949408, 0, -25466796696437760, -4381969397137920, -3966831212032504, -19237909462240706, -53094649845309120, 0, 15908574439623388, 0, 16889338154054016, -46023293683843200, 76207524357780288, 65590856494127518, -9899331632593920, 0, 3899581068724800, 0, 105129581278529024, 10218423173206232, 3426318985501348, -85242463123587840, -33532616265545392, 0, -139419547088244480, 0, 31539266372098560, 70643986760932918, 69055788308785200, 103016548374236638, -117676226837008136, 0, -33334656527470176, 0, 12264496328392256, 26110170434947883, 175127946452023680, -181632797313346630, -35604527848767360, 0, -30174218823780808, 0, 126650355577769104, 11645197888816556, -11138666715017520, 172725909864679582, -88458952363620480, 0, -147521760240461760, 0, 19586317832753344, -67222074861590400, 27522819956820480, -206432089349160962, -146389783790991512, 0, -35314305863733860, 0, 34957182985171200, -10601956896752640, 139736852679836016, 272927821063230720, -2767680366132872, 0, -66064263130281600, 0, 245017810913310720, 13287914787468760, 41281388656667428, -196743759963255362, 8803673272323840, 0, -172642956400380836, 0, 41213861981965440, -99950258983087370, 27400428665860800, 223680615365934622, -210536392672774080, 0, 1580268064548672, 0, 34048366453493440, 105602472124125718, 150872819528419062, -367876403048582788, 52017616349326080, 0, -11501045176233544, 0, 95104060300351024, 93888896554823040, -37910137610584656, 279803305873674718, 79973996995896568, 0, -203505907694127840, 0, -23271407268443520, -37456735751358122, -80544811551823600, -327399478901890560, -191053148473375200, 0, 162238952120352000, 0, -179849498489479280, 28644766094794678, 178988269692173760, 356669398035947354, 209473751881704000, 0, 275121093181447200, 0, 120055901425857088, 15222474335285760, -241935886247587200, -265127252370365952, 161875540561446584, 0, -76892974157218916, 0, -306803215040163072, -724961249362442, -344062559535754560, 263340033524655454, -131848850545551360, 0, 241258436798367840, 0, -381245328851347200, -149757270414477205, 146551256913297508, -339009620862833288, 315044840531562720, 0, 355466982417488640, 0, 142441172113639680, -180532794305954644, -295042163970578544, 306102627342397440, 382935811187194560, 0, -146195543537857440, 0, -337686847197004800, 241109314308448342, -410446691317852024, -135172608490008962, -141206848675550208, 0, 258721580415835832, 0, -248809842013076360, 217430998756056620, 148695072664447440, 349910876230717440, 386306048768595448, 0, 460011934010296800, 0, 69716782019657248, -329887227316158526, -421338345934494720, -180041025432403010, 563476746320062080, 0, -136154883338253092, 0, -356713241819555696, -105195498497026560, -386813909557676016, 229105761360595200, -273156773555027520, 0, 425220076593019680, 0, -563318165956531200, 63755777049429718, 266228903998947364, -200136048616852100, 393724552968448820, 0, 418206383502904376, 0, 322929231035598720, 55152730258965548, -336217980146822400, -13386523681965602, 239767347217563752, 0, -212702383791375552, 0, -337607637064644512, -4218983664144768, -405780839293079040, -461089169482299842, -498861662824098720, 0, 460047893087007964, 0, -358542351392929920, -173750986073331604, 539274205054337040, 232324085837403068, 234632020332968640, 0, 6720690146927040, 0, 660484647981577600, 368986070109066240, -73091336422060892, -164573262781413120, 278269389626877776, 0, -1003070889761898240, 0, -131369919533772752, 410314395695155200, -38593217174828160, -119706955821108480, -668340853735597832, 0, -117263242345532640, 0, 298153752575218560, -46725106610514432, 800830263051784662, 509757171926273276, -176758019597933280, 0, 25352246949118356, 0, 1166022263777725440, -670281203521729187, -262849594780217760, -164586281280856132, 112392491980741440, 0, -1180647633693248064, 0, 72131017201534464, -93233002787888404, 360102613529970284, 423098240925065854, -1195653006770538240, 0, 118877043206872320, 0, 95083968259537920, 694642667207863680, 1206226118346622704, -604265698080559846, -79132668692080144, 0, 31338768637508160, 0, 977872493340817920, -42227428039589524, -39120885692964480, 853775532849703680, -428219904437395200, 0, -1350094332978315812, 0, -13063802595404160, -724189116278179082, 110461411601372160, -1389462675436919040, -1285714701672168960, 0, -106813322657266176, 0, 162474570500105728, -49120327949971370, 1744316519615239680, 1035377376674391548, 50739914643010408, 0, -516922110038633644, 0, 1658595830467751728, 1341060744634836480, 196344493411521840, -973734700064415556, -172640433623262720, 0, -1103948712797428800, 0, -66220328359067632, -390631296585824640, -326232176663439352, 1468973666169074878, -1739701670273151840, 0, -74941548925263360, 0, -260335273478475856, -1081483843391928960, 1723680635385126096, -2226681908974391040, 425040377736480960, 0, 338541826238474880, 0, 1279242810294201440, 318976390504307330, -348908166404875292, 1669502094660201596, 14531641761326672, 0, -974136664072811520, 0, -267992008806365760, 652634186631164854, -271430287976682000, -976397035530358178, -1010854234991900160, 0, 614510923080401952, 0, -696140414556989248, -281686107454722964, 1047424500149906788, 2252028508945304832, 1273465954133616960, 0, 1488672239081178296, 0, 860391576267970176, -1744071418439359060, -1366758039697054272, -1254855394169952482, 887598945562910400, 0, -701445581859368160, 0, -1108092387110914560, 500974769800393558, -1333631481140950648, 2543404524845794560, -192137199148703920, 0, 701171384204981788, 0, -2112095587316582400, 1271557814395229531, -341974026356055120, -3190600603370308804, 1195670297993503480, 0, 870902467253388864, 0, 517158855546468480, -402240224302579348, -1433657882735207900, 1146150132091699968, 2155414699818714240, 0, -517234051763631360, 0, -1497081397493507696, -1386781003998992522, -1218156310120263360, -1884004412311162850, -1182992184268200000, 0, 1969490094161668800, 0, -1588984056900545408, 1160329979419697280, -69921517868293916, 1828127214862273914, 1547414544634368000, 0, 2689610143323252480, 0, 563912622288866880, 3648894421465435874, -1187778457011603648, -2524461652036247040, 2301313131407405552, 0, -713584433924814240, 0, -2386247327754512640, -1121142783219743018, -1983326941482497258, 1910423548899326398, 515337783300884160, 0, 2492051046170473564, 0, -1971062065841765760, -3061945647893864448, 206366192980345440, -1960885075424591338, 1561126976925692160, 0, 2825134602173112480, 0, 172330828688001024, 745532153738227200, -1823057893414344092, 2365026181700705280, 1683614394251443420, 0, -1035240928739254984, 0, -1609005474660329936, 2718016397312065920, -3314516115507453120, -1813715163183545762, -51694346072561672, 0, 1629915513011312640, 0, -1546714500678307264, -1227436848215502484, 785952577991578084, 3676636222009808640, 2002833802230752160, 0, 437185866188780912, 0, 661666352281205760, -4325166595095011668, -1112915900228900400, -3658569784628578560, 2220171910858556160, 0, -1379388938398347456, 0, -595811180091974400, 2235388320308321494, -1010043383618979840, 1774601071953082366, -967285009273883672, 0, 1340143952393612188, 0, -648240914117618496, 4107085035920845558, 2213159160888400320, -2382942330861058372, -932437715568491520, 0, -655061967790726560, 0, 2210875130492996704, -3578983244187816960, 258093682124578568, 1573446549692560318, -1991454465550206720, 0, -1646672721460552100, 0, 206113227674108160, -3035518988543679242, 860138285310637776, -749763044178585600, -2076614847322416000, 0, -320513267460708480, 0, 2029182687040896000, 2295398183262168971, 1804879926651461760, 1650397706995504634, -2230910461734728600, 0, -1465780234320061440, 0, 1829507856425796552, 4370430547575751000, 2736622343535059040, 755403045413608798, -549378068081030936, 0, -813119089946959584, 0, 236727679422614400, -2500029400032472682, 3119044657306268936, -426459246911369476, -3122239871658180960, 0, -2233303676918811812, 0, 449473599916404512, -6874287445053617280, 2095640612878332960, 2277965169202206720, -2500906317038777280, 0, -3594711851375721120, 0, 2920451371601356800, 6061687632254327276, 1036633686220070400, -2014744039951230720, -1069745530650981808, 0, -2336427882844124132, 0, 2641371857743505280], "hecke_cutter_primes": [3], "level_primes": [2], "relative_dim": 11, "hecke_orbit_code": 206376534024, "weight_parity": -1, "level_is_squarefree": false, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": true, "char_orbit_index": 4, "prim_orbit_index": 4, "conrey_index": 3, "newforms": ["8.13.d.a", "8.13.d.b"], "oldspaces": []}