# Stored data for newspace 13.12.a, downloaded from the LMFDB on 25 April 2024. {"label": "13.12.a", "level": 13, "weight": 12, "char_conductor": 1, "char_degree": 1, "char_parity": 1, "sturm_bound": 14, "dim": 11, "eis_dim": 2, "eis_new_dim": 0, "cusp_dim": 13, "mf_dim": 15, "char_order": 1, "char_orbit_label": "a", "char_is_real": true, "trace_bound": 1, "num_forms": 2, "Nk2": 1872, "plus_dim": 6, "AL_dims": [[[[13, -1]], 5, 1], [[[13, 1]], 6, 1]], "analytic_conductor": 9.988461347274656, "level_radical": 13, "mf_new_dim": 11, "char_values": [13, 1, [2], [1]], "hecke_orbit_dims": [5, 6], "trace_display": [14, -20, 770, -40472], "traces": [11, 14, -20, 18302, 770, -22356, -40472, -41544, 1048863, -6558, -1443852, 278982, -371293, 3197926, -9404984, 15961490, 12448086, -24241138, -4602356, 75833300, -37638800, -16924608, -1353800, -154650708, 144966677, -35644128, 189892144, -283857056, -224809782, -274325902, -172350848, 1139629712, -818480720, -755306916, 622506648, 3169855192, -369863390, 1769119492, -360896796, -873537294, -2578116626, -7013954238, -794814044, 830321236, 8689697546, 1817442660, -8015746656, 6283092766, 9258535155, -10817398534, 13339519280, -4572844588, 4511046890, -26339445228, -4629796776, 4056068978, -14931881088, 22177924776, 3853933924, -2270304432, 2078626882, -561722056, 361546328, -15176929966, -2173549222, 24816629664, 38915233708, -14369028870, 387900928, 25212520260, -58066820168, -16884990288, -6608698322, -19505266742, -14978188484, 146173699240, -20579410408, 34618616734, -97023255680, 69870018508, 134641759827, -48818256084, 2601089100, -303502689380, -49120712172, 109680301404, 5242109864, -163780604808, 86246478958, -476289754080, -11925931160, 355165655260, 332006816880, 245017459950, 133983808456, -184167544724, -270561627674, 317151283102, -271122388524, 140771345852, -361246007126, 508713855652, 58920207352, -133119679290, 395521045576, -347309343528, -182124588516, 2996014458, -190015130582, -56974556532, -337960825016, -898296784208, 581968341294, 1640774105092, 739873447296, -392707217344, -261231729889, 932206227036, -1118627089392, -1770164121530, -115041017641, -1327074094780, 713965306408, -1261217775440, -1570386116748, 3241880161372, 2355119628928, 2518036909264, -1144129241176, -743162246736, 1345327544940, -657239742756, -1092596183800, 776669065912, -818214726464, -1363974636000, 580428925358, -7447244018860, 1014167692996, 2516655827914, 3334684960368, -3389200377798, -740347845796, 9797059022948, -2228742144564, 868424266408, -871302388732, -6753327898412, -2150151431070, -737960844560, -1071598715144, 7328687458132, -1145310356634, 11782774621164, -7000857979232, -2828924436988, 5908271028730, 5972694814236, 3474563482040, 3298997017218, -1647712151568, -19054305757834, 17374385932, -10737658096312, 7475040191440, 1627182213204, 10665760845896, -26162481034066, 1516443410339, 12750014033246, 4759019679708, 2785843796914, 2683357601538, -13014247521588, -13767766998776, -10214917551868, -11563734275648, 15155066758800, 3633317828476, 54038635397912, -16117871398334, -3611659091664, 17598541718952, -1059966428196, -3851234609564, 4778808606744, -4712213547768, -22643335774096, -5496817032320, -28365868099152, 8576123794672, 14256525235662, 15357202077094, -26842685084124, -7911618176384, 45088819396824, 6269429240930, -4213725803176, -1920824026712, -30392329637904, -6875493229424, 5483072910708, -17956540952432, 53043772461790, 14986542277380, 34260618983332, -14651757850664, -12667180505200, 20611340830008, -38314459316304, 2497615578556, 4878404926148, -34286601147824, 2399500592232, -10088392309768, -85468378995156, 17857989141080, 42153092224602, 22524981688648, -44538516715536, -9094305937730, 90266898737642, -23096257063808, -35791138010190, 18617723199353, -12639150825660, -3753988133060, -4986374994032, -48920550948158, 61837892385308, 47654499969040, 55978144122828, 34745666836646, -10147680515622, -7396140308616, 7503005507024, -50763632392688, -35630406136338, -34780999412336, -27226657809328, -3559953429194, -33700606667450, 39640113630988, 50155437096856, 41160280138722, -73076756335056, -3478116880940, 6316719711512, 6618708716752, -9428736888414, 15243765308124, 27609706254936, -26149647627840, -39704650916652, 51033408203808, -20400699776830, -56506534635954, 56104715609376, -44057957869144, 70435024686, 39428641741506, 51530450412756, 110337505625208, -14444179781376, 41545239394956, -56679708697016, -7626256504120, 86160378784156, -98666253552902, -153318476847106, -1416990776576, 43611196610362, 36254067347992, -55512180641808, 64663069614620, 137107216339852, 50702221825258, -118812891896956, -45545851364800, 117648348817548, -9959920755778, -136918117074838, -120227014544996, -140229371306024, -46590211291472, 32812955012604, -88833285751648, 12335551703240, -38170457866183, 104780439521640, 214466686540696, 593774654752, 83075782034706, 244485799807600, 10643249997384, -97438917639094, -172489257836240, 167199816829824, -19068750050584, -360167184488032, -55238072445472, 72135036420322, -257457991209800, 207608644519240, 37479178882444, 9165956397524, 270586616904172, -191891207230440, 105697659091600, -381433779589872, 283830957136680, 123057090218946, -13204841617202, 263481570626492, -68840721211008, -134609215054460, 15017991657098, 655374912847204, -164770742525784, 232991161012012, -347628959763552, -67186628705196, -307902077067416, 741008371310422, 64268249323733, -762520229684164, -303378607736152, -350724353788464, 303613645639744, 392128013464724, 417328998949348, -169195533624004, 62471743656330, -224458854500400, 174326549769880, -1126887173313172, -5052642699722, 1930018885886, -177920646135336, -417494363059620, -37622645050504, -261285629801408, 252849537376304, 752309820152012, 416922129315408, 594149603784096, -83751135708172, -337296366423840, -527885410625990, 1078564178228608, 13140181054104, -349087202543880, 329915475207126, -136484848852308, -222023025651000, -96210812325368, 224484678832864, 692442855244308, 4097744107512, -727435745850380, 8694470930511, -758031946506008, 530691427864028, 147706592379814, -907268390027820, -490829156923680, 600598365204880, 221506958846028, 521165206453414, 409913182279104, -664853515663200, 1407023949441904, -645511049302862, -649218922292488, -536035172612832, -16377934352646, 22627439740282, -676554186365874, -367725076302284, 583414540210036, 471676119196576, 613777801863732, -528808153615296, 435133014133036, 457490468281632, -47149461262216, -640327884466516, -245346843329060, 682643059898210, 521023567701936, 64059734612496, 1896392547362280, -354070260713816, -965632273312626, -209963126621296, -60867123189080, -118436064719558, 77554105786444, -461031195434608, -545846336447920, 153193350942790, -1292613307428376, 53631078765784, -1059378118861744, 727806860621330, -37478013186216, 762092501010552, 937484568449116, -298943003992514, -606261548358872, 1098752926231640, -735430753485836, 80682795545672, 562572913278920, -603471805617528, -126217144149538, 470050602561272, -264829935327096, 572275292593740, -1005123952806450, 591681233999986, -695984963124956, 22238307255600, -322790919956580, -204501260925950, -421646800714930, 445862052146096, 1174797973017832, -218455856440848, 1106117733988134, 1120161353319712, 457877847017842, 206279476312606, -3095594565673072, -1480125199923040, 896710675909924, -1461730449261312, 2619521276929428, 878191112685784, 1098698801932180, -1448058635400433, 216202837892886, 161483122055028, -2609375239964896, -64624711556508, 420737719867242, 821488538416248, 143826739099216, -134064464355434, -2080568497850230, -14930623736664, 237883437542740, -79791145598512, -921459404561184, -791411302771648, 3303274425966748, -2125312310505986, -242951151686426, 952346059599896, -1377719710866444, 217697522886650, 770130254100516, -1296480063309104, 3156754591548712, 3115220743869360, 3407457387646860, 628541524686164, -1124584424236260, 2756922296495384, 1721034985803076, -2490411712585064, 139619200596492, -178900415734624, 3270917297356508, -1011612991709324, -5263344755307856, 387633564348722, 1802648058743886, -339325014838592, -4168467828616986, -172967698766486, -263501754932016, -2601062638993488, -3781682832488530, 1235546647859220, -6497591953381656, -2187392971586600, -2892682265496736, -2730392210372976, 5635952897961552, 3106250633455300, 9762278471072960, -1179142569856716, -1328085333797248, 5566721400328424, -447311467944992, 1295661048598224, -4143655801646756, 2471780869728556, -3938446896363140, -2373732922020144, -1988239563290736, -485121198597624, 3573366415511828, 1980301494824700, -1775810690436232, -2757169836980, 4797016121055748, -635369012358486, -800364305838918, 1528300489465904, -4370398638602960, -5749273793056704, 2061969462409956, -1670077823358688, 5768000633280214, -556297167362088, 7098742260104964, -5115315504954168, -504702197234508, 881488941361246, 3895678965774844, -329043561347780, 3376887326044210, 3166524362471984, -282535386418056, -1666532891429328, -5956299564607604, 1151479648920755, -6063203972394188, 1250088110911156, -9021432163810684, -1040434171036546, 5521372686825436, 1564039453409640, 4895232149447696, 2622484223255864, -7657778219188044, -3436464371739916, 3453716806326600, 255496466492746, 6485456014731638, 3008592491698280, 3525548585199600, -1949600337611948, 1318577611668668, 2396635347691468, 2435725029710532, 5313782354338106, -5231460161306280, -860831624113704, -9497326940853300, -877225738772896, -2337301005066564, -6609781735107000, -1608694991661278, 2329137884633946, -5648977829388064, -1334129224914356, 3392288403323330, -187362122171344, 3062160733791600, 7213672739741084, -4233053722740580, -7745220974603532, 1916183625297264, -665601395196664, 1138995539779182, 1893612222844182, 11685831374726120, -2652098598290828, 1475619127157448, 2746341064674768, -3277631306997408, -618980427411864, -5951297513675020, 9039731095514710, 7119185790758650, -2998977236675784, 2648584336142220, -2373451642842296, -9716231232543920, -2598346299725736, 4982081154243764, -2518267302016102, -4040267363828190, 7212284756914948, -5389516364388100, 5020993274588936, -8975529605250152, -1253023622548696, -4212331166849396, 2386539742859446, 8506203377932464, 4595317771726008, -1773819969781600, 2901901312556064, 2680834774936812, -188659581133192, -837607274587704, -1302038643488306, -16409968594446362, 10317314847154092, 13943121585023272, -11753460369899798, 4167510143761104, -7104015822738752, 6296337167429716, -15598263398440048, 6269304982544952, -463578386049168, -13798482090826596, -4604174551681598, -10288581807272516, 17947738631892928, 2450781552224484, -4248867363448434, 15054532575842596, -9437967443907644, -3270410842387336, 13278123223703872, -2973739721643168, 4070176949855616, 1522868334214084, -5315701369495153, -11446471342041012, -2989747101449184, -1895715921298724, 11370496073083124, 37223694756653600, 4883636411139256, 13833276032216404, -11073427679735320, -12624295506978768, -14235865186222096, 24380030925575804, -1901221692271005, -10814950205649608, -10472073386192504, -1106590757651214, 1701847417117038, -18411807774847040, -1640171104730276, 13548872663327212, 10160268718489664, 6819052804492188, 8949324861592840, -35577592475977920, 16000480674198984, 5524775886265922, -4824695117915536, 7723136669206108, 3137115122053226, -19233713466450614, 15204688359508872, 12361323491720448, -15570716518984858, 9343865296371696, -15534535013814524, -23351034433810680, -19531951233003662, 12223298474593092, -1700375813926920, -17966109114963420, -10464278073735888, 6255743949324016, 8822149643514768, 17981288073684464, -8727214789569840, 12848013686343060, 8773626642975608, -18953822225235410, 2195253005864614, -8784151158980196, 9880631466836152, 2523086117820398, 7619180898577514, 21113358521587600, 7037497127037152, -16517472342302278, 29252132802152480, 27994612264390944, 4653049767571348, 24645215035922080, -28486385846978796, -31995565687559006, -16598466372462840, 20109228341127898, 1268754103260826, -61047316177843300, 11769639164270284, -206303647377172, 16123258480800680, -38001592575195324, -11608840785419720, -2142954405049452, 16838877034897548, 12485179074262026, 2367299451194400, -9419382407882840, -17656196490296198, 18714874334668330, -4253673353739448, -8488788351770332, 2679941631115928, -15478064123832096, 49733418181823504, 20692753256720696, -9155648065015022, 43354412546952260, -46158342851836144, -9055483706463828, -26209323638294560, 31747801548593338, 4075778208045960, -20391855999870510, 20797065504436240, 14284135075123128, 4310524155883664, 13854257341682464, -27527415689680816, 15735559547841078, 10785264388021832, -25972343946764372, 13066603101734518, 11290402745369964, 4061293842243496, 6561420758273056, -1235680815620049, 33792110350276536, 9681826269425184, 2195846355058432, 13379272565002810, 20371042914997876, -18886564157756616, 12436042899210396, -11954045455898376, -68327328744088260, -16685474361639476, -8353735564707398, -6226196069218320, -56430009028025196, -33370251633832136, 21186980006669960, 35489253984085692, -27485527172116780, -35920772688837012, 7678796068998852, 28493848474893200, 44019556816213126, 1168901169024832, -4346762310258912, 6477452161468224, 3990859134025452, 24301334033909816, 11216368857788092, -20568387255870614, -78519761110843172, 35943019785938656, 11647700150989728, 14975181231065294, -15446954336746492, -7619490282595480, -23416431629048296, -29963845106440348, 27880331484617058, -6045294083352628, 2593402115592030, -7043689123371386, -13208184718822384, 42780043203898640, -22997731108986620, -2447335301135134, 58525148300763480, -23668958243178368, -4887754114100120, 56039272588163192, 16285292707626732, -21834750968723048, -2664528647532206, 22131278079625032, -41326025563198524, 13484854972793888, 22775100072162900, 34038837844149276, 80140026596296056, -63213751508023508, 1716052114290404, -31675884705394896, 12600380295620772, -32787426976022848, 5259629839326720, -10910450842966766, 46482666240627448, 3681205341561024, -15104002901996456, 22490357423478826, -127658292224997008, -1251971135342976, -6525009432474440, -57113169860278970, 55372504182364248, 33818086067122088, 18114658126485284, 12610429024871712, 5605495479770784, -1155829849002520, -1259423305201632, -1748414817105666, -83527809785420358, 36489318994416868, 28012698671724396, -30887103236582800, -49319169159211044, 20511867025666008, 54474757447698374, 31249222996441616, -51712546194530888, -22051390211360848, 18974053714371696, -41298047806797678, -91838796247475116, 58414100096494072, -9569269663933444, -60340133556006656, 26795208933600672, 7278445261291236, 109000320471062056, 11175009894734146, 111530970117793340, 18632304070132200, -7296464056821472, 34632478126382446, 17184580265471864, -9469188678488400, -55822130505499136, 50123090705887104, 31373364638119452, -21302236300805320, -107979003857876784, -30180968090886859, 39094979903227482, 10000684777667368, -76018517544122414, 106151038723730, 60033756581069372, 1194510323296408, 11607851231131356, 89300738808095232, -93818094168327108, -99408295009064480, -42539178223167380, -49309478157435422, 129867046809880352, 86960122331704024, 107173134564534096, -22684926527328306, 279570094627564, 35120935146950188, -59662011320265192, 18302062018987664, -79421592162539034, 1852777719255152, -105818672700410612, -12590642506836420, 1378210915131244, -41152290424443444, -46350375540050536, 8510902163859536, -99777647874013304, -23085852625341740, 83294304940497674, 52314895791938478, 55097830507355160, 4410558787280360, -144628736750932736, -12365120254958150, 36727901386463072, -42901738077327192, 65943374776052784, 22040822133153086, 244155175706892838, -69131808512791940, -16780452504158200, 90792696806882944, 56081094130869684, -4696893459168280, 104802221536405358, -21715441568284336, -17576682684012192, -20589978954604428, -78158852472064904, -60340944588641368, -186217062532108060, -26334603026589240, -105956780651207902, -7934691968974576, 71212602065357820, -16096716991150832, -255783803081684, 63572982814678884, -30307760626649616, -109267614705578672, 94506115251371544, -19035880081438244, 110251269056546438, 74565865102669156, 97447415265806472, -128865432754405262, 7189577351514090, 56836297577640768, 52633659574673040, 46241465527192344, -56828319373604824, 32581964405774448, -127628838464712836, -113129180031586192, -74473687607404460, 23834334554764984, 14667509192467988, 63897603301973760, -44201850968300430, -19594820229771592, 120645013247387584, 52359441685095022, 66368334124844904, -25463249270953112, -14893941094738404, -111796629801017722, 16877793988768288, 37552389276947772, 137076950072131098, -16454208453840912, 91327566649888248, -12937449471514336, 206624746087188, -22169804579295458, 22283137274051748, 109496555585050128, 5263807834539090, 88361423653949930, 67904475848557760, 30128549597372496, 26217886245048720, -31285813946504216, -49480539326825232, 109048660509995276, -72428351832908556, -5571655595895506, -73097044129625352, -77816992857647720, -193051263464117334, -26763635277414442, -225035707848512564, -83391256404571920, -131468142921616328, -96303196430969344, -3114053048246394, 22426907242597424, 120814702112828784, -6847314992656509, -10992565840220432, 94242641375155452, 17408200200052240, -66739392604035724, -27358904916221996, 61941028721948440, -27481793400899208, 94336574182319680, -127897011936083436, 62984633057486788, 295173555277079520, -41822380320014800, 130484471393421232, 153437644639084, 9499815316045984, -28605930248788138, -64100304527271884, 97348936954676040, -73491214984965488, 100002404081962930, -56979665112936492, 37308359119730216, -113002677545948480, 124013273213544756, -102654002649143204, -10873604672924504, 9771022003548988, 25460975543173024, -47371034782801080, -116335959617154128, -157671568768513736, 184106052670999216, 174152951370179208, -84914674762452160, -53372283396435716, 3058346684816266, -26392837511005568, -214848987033099584, 72628935827672214], "hecke_cutter_primes": [2], "level_primes": [13], "relative_dim": 11, "hecke_orbit_code": 201326605, "weight_parity": 1, "level_is_squarefree": true, "level_is_square": false, "level_is_prime": true, "level_is_prime_power": true, "char_orbit_index": 1, "prim_orbit_index": 1, "conrey_index": 1, "ALdims": [6, 5], "newforms": ["13.12.a.a", "13.12.a.b"], "oldspaces": [[1, 1, 1, 2]]}