# Stored data for newspace 5.12.a, downloaded from the LMFDB on 24 April 2024. {"label": "5.12.a", "level": 5, "weight": 12, "char_conductor": 1, "char_degree": 1, "char_parity": 1, "sturm_bound": 6, "dim": 3, "eis_dim": 2, "eis_new_dim": 0, "cusp_dim": 5, "mf_dim": 7, "char_order": 1, "char_orbit_label": "a", "char_is_real": true, "trace_bound": 1, "num_forms": 2, "Nk2": 720, "plus_dim": 2, "AL_dims": [[[[5, -1]], 1, 1], [[[5, 1]], 2, 1]], "analytic_conductor": 3.841715902797944, "level_radical": 5, "mf_new_dim": 3, "char_values": [5, 1, [2], [1]], "hecke_orbit_dims": [1, 2], "trace_display": [14, -1012, -3125, 40344], "traces": [3, 14, -1012, 6084, -3125, 33256, 40344, -346200, 429271, 168750, -1086964, -1220576, 3040218, 737568, -1787500, 4433808, -2406346, 2755958, 4945860, -24587500, 17740536, -105430632, 26485848, 201348480, 29296875, -93479164, -242961400, 179345712, 163837090, -272225000, 415992096, -476025056, -70979744, 318732348, -235800000, -219085612, -270337326, 928850600, -327962728, 457125000, -554400074, 1902541008, -1129907292, 175433008, 1471759375, -1571769984, 221408384, -5130637952, -3610791021, 136718750, 5250194296, 13174967064, 493431938, -16555690640, 466837500, -2235656160, 5021442800, 9757106100, 8243084780, 8229700000, -12415015014, -22735073952, -10750886232, 9182013504, -11838443750, 9648059072, 19529964204, -1251711608, 19869613032, -6035550000, 9971527816, -63347763000, -20102028402, 58862619508, -9882812500, -986914320, -26504706672, 120428573776, -24071709360, -23679550000, 47602946083, -68124845412, 16503964428, -28385169792, -15756956250, -116541245224, -21134853400, -33934826400, 50501550270, 87037493750, 97204540416, 232124189904, -301987859184, -5091788112, -17827437500, -14295226624, 123413770134, 73456940302, -92309175748, 59414062500, 119127431706, 65052570128, 66476872488, -459429835920, 31463025000, -710105857644, 352399787844, 288929569600, -182354250870, 229853275000, 596315253016, 12866188224, -637905563482, 7950073120, -285631350000, 99615744920, -149249708654, 595456020600, 184240523088, -134412000000, 396825640599, -549518212732, -507314476504, 1222413278688, -30517578125, -629434530624, -359519862336, -32918294400, 1055677381352, 212638462500, -330992027004, -1725822915712, 335950771200, -360579877752, -591947125000, 962016309840, 331152332574, 2627969268336, -1089369181380, -462580650000, -1527883442024, -1308870498192, -469711996984, 487177263056, -76386468750, 1866551494316, 2126402645884, -1046429607048, 2293836375250, 324765625000, 2004203072856, 1014086344800, -2228118630562, -2734013033184, -228421350000, -4523757349184, -28693357206, -2759219344800, -3224044462088, 2433053700000, 2297600365896, 6075108910574, 3115195220268, -1130071882072, 2542312300000, -4013390959704, -4077700685496, 545584003200, 791914764621, -1787449362500, -1393780256780, 4775190600384, -2131124935302, -404294912720, 393984375000, 8310173461696, 1860218854000, -2999196731700, -4068329154460, -1824759737500, -4076363256054, 1233810043488, 7763127276056, -3813825964320, -976074268750, 7008118980192, -2696588606952, -4852318205168, 1353282873360, -2983293375000, -4287421173824, -13560949597696, 4758543236358, 20805853942588, 2876391425000, -7499522058588, -1526627295966, -3421243140104, 9797431557000, -3380859375000, -6509158544904, -11016633738972, 2967641190000, 5637866650688, 2928395493750, 15932941989856, -15366571948344, 15435104792928, -10224154085680, -2990765850000, -2366272825164, 18081631612024, 13507335850736, -1729559665032, -7468148412500, 9370927718400, -527344033392, -48719399923100, 2036637492632, 2065264950000, 1676725616276, -2789197158832, 6714938298048, -19611264339072, 4192099609375, -582584987364, 28495510595164, 15299639344000, -3068642595510, -1985563350000, -20623674749568, -4898179030800, 2700491190078, -27206518529548, 9454785825000, 11954650074640, 5686372744800, 15570052088064, 10434120397520, 23813772400000, -26965429675074, 52290689754262, -11120466020092, 8314857571608, 851761896875, -14185700381648, 4966364182200, -90081180734400, -25277766610008, 1647949218750, 35832941985756, 4897665863664, -4069852481424, -2764476934672, 2028358525000, -16323375750912, -13263739918506, 74578975100656, 17862986372448, -39086487925000, 20617964635930, 6951114259848, -19136878019432, 5205050453760, -5572528818750, 30833944320960, -76769098120200, 58141260633792, -51494994312790, 5795682250000, 18131742884016, -35381999803616, -4947394964304, 18703749458508, -10614882812500, -77201928741504, 29188948288914, 37085829640600, 105269234916672, 17954536500000, 91536832983846, -73770271756912, -9019951439772, 139348096470848, -13813681750000, -136505495641968, -39395969943552, 66597583243168, -68737623372231, -15680405687500, -11982160331624, -138009370875096, -110976816372942, -31578770236792, -19974832312500, 139660782177840, 192983399435200, 15841637723700, 112245761335392, -11919687500000, 40261551419256, -63975505388272, -95655568848024, -81480335730240, -29319261443750, -64664322814964, -40882667793156, -61272362321856, 11338141555912, 107479940400000, -54561647042664, 217987221388800, 117427234200318, -97233136645532, -15792568350000, 48727708360320, 113416955496154, 162163322454416, -135064274548920, 23571718600000, -80395497506664, 62000522848368, 46887793123400, -285189514074076, 29689628906250, -33684963751064, -97211336071400, -61934989436400, -82169946612072, 48746835800000, 136474953953196, 123315837205344, -212290705958422, 208654962574848, -37308175237500, -155037184456704, 60173346829974, -239788129881582, 197538211994872, 24674493225000, 73887745141152, -37914569630200, -87182827701600, 15689076242880, 98575014675000, 17419052237316, 52057261228484, 131793780395200, -158676133835550, 7202812500000, 75786105714320, 62729561862528, -44528662639962, 91205185897760, -174704422725000, 4915907966760, 12665046896688, 135557280738600, -92861367110520, -83248836375000, -244084372383057, -275263897136252, 316483917250204, 271948943286048, 124573966618750, 279552902811472, -250410183538896, 216066351878208, 190216255233982, -245855551987500, -74840127300864, -657842852696832, 181950242064498, -100988950511824, -17456054687500, -111529261520160, 98926382400700, -146382019332000, 290522810831340, 5199596750000, 54940886270456, 286677232881888, 335178309764928, 38464355804160, 134264971650000, -97698920434724, -739563963942524, -453063261210168, -280837427997630, -313388024450000, 164839115651856, 587599566599400, -431386181071584, 339657478077588, -54581447250000, 503445361628656, 119434552892634, -121276683108400, 139303842897120, 43298906250000, -223680452427594, 425540363803728, 465336306814176, 496906884171768, 423036905246875, 247672269258240, -476923317778712, -598146611347200, -438188101249770, 253550580837500, -279103963074984, -366861256134576, 307733263034400, -866393924121888, -31544501287500, -1156824045978944, 1218389196996400, -452221971400800, 404483929958260, 11186893200000, -381179515233534, -7926729243032, 832555946168048, -1185633119501520, -23499472656250, 1642077930089632, 113268155065728, 997783692527712, -862146497932736, -9778304475000, -758260368517104, 1193076999136000, -1195146499350522, -649342866721824, -278952297625000, 956285980756440, 180360519537600, -1369341222511664, 153320254236120, 398921635500000, -861051939547897, 796588939259208, 863935349112708, 1208872501581248, 237034662468750, 12778504200016, -453676851358600, -349060898235648, 316128350755550, 26913652343750, 863174843765112, -1457701002084536, -699171125188624, 747006927442728, -262722430350000, -537576339379200, 554754531011694, 825407103951300, 387994903105360, -544434230550000, 227537255519586, -717863582901504, -163781159303232, -647753394854560, 95041331550000, -1440725501841204, -1627385169458996, 642666648735608, 330387824248488, 360899196700000, 967670701729336, 51492974282400, 1073868028056896, 800606571170880, 48299414062500, 65539320596064, 491967764328986, -6299212740000, 882044309240640, -704143933600000, -150949823940804, -1623758438149012, -321875973432144, 488372097038772, 404922430043750, -1263881481732104, -1106036373902376, 957751410975600, -1783539070661528, -584239579931250, 838268560250476, -853932524288192, 153741591459300, 1531054181305520, -1030342877012500, 3039110026217856, 1321821108791568, 965492389021296, 464339652080100, -240112304687500, 2086573886410296, -30712566326472, -1315996309855112, 502272397003680, -166707534693750, -2146963760363808, 190820032219956, -938529697361328, -2415521127125470, 423508052150000, -824854739072304, 1995358854439424, -856195737416800, -814784662387332, 268649725400000, -2898836962751744, 326228530709808, 2063434522865184, 3540429203104632, 1669400976750000, -587583220337234, 486912763768100, -2251033371896652, -3087599544848112, 173247421875000, 435633355916736, -1578967356137472, -1182458840257024, -66355386944829, 2082041968712500, -407259229407940, 464610950126400, -992658071512844, -1221211084850160, -752145759862500, -2861576808500160, 4422021329203600, 3103918737118500, 407657364696748, 302366833000000, 3966997268623026, 2353224906819008, -1212896003533784, -688028734368192, -468497893093750, 2237549686374432, -443815958866116, -660142826605848, -4662054925351598, -1029596015625000, 986470478109400, 929750862960000, -98152720610400, -1912332656458572, -421349462975000, -662433208219440, 1358587389598794, 1055353497821856, 1949810763169512, 132261550200000, -1986209918256448, -2232483134296452, -748907941183332, 951983307091328, 871882044993750, 421544045772696, -2432084607574296, -2085328822886400, 1925439809782710, 39019139500000, -1105299789526884, 571984462919968, -1150883251005904, -2843771661589344, 258650859375000, 5262050634488128, 3346972738693014, 394031145265162, 1200794727951352, -699858361125000, -373383825258024, -6189739412356912, 5906283479815656, 4722272719297680, -585861303668750, -8349597547653324, -410943770324076, 2996404385798432, -1804322867100480, -1664116605125000, -934873600707624, -6277489508164896, -15702861099242, 6737986431336320, -167104353300000, 5666789971523000, -5332747184024800, -1755244848067104, 3366263034266200, 1966293750000000, -3076989485251194, 100236040795728, 1934385726115788, 6936177926083968, -1649764387290625, 3550547617092912, 3363902854168944, -1101141869878400, 2274381589307280, -598705819537500, -2682104340673744, -165492055871576, -2382972452197182, -4629449371254232, 638208691175000, -2058471142657920, -2778405644138946, -4508953253179984, -2417145080683140, -4775867619300000, 6122606555676720, 6461500142025168, -2404271437290000, -12601517314519808, 286102294921875, 9742474981177036, -1995544219222400, 7518873691788312, 4008101848535428, 287753922150000, 4096752638172696, -938511476812800, 9692922681535456, 3095783589124548, 787281585325000, -15631555956057664, -3165444815466726, -7164681821298800, -10448094122279288, -56436582000000, -5139746455587474, 7527803652469008, 319538069955708, 4320079625066688, 5412302273675000, 1469911761642960, -3587206343674216, 400110691194600, -8302676032850640, -912882460937500, -674156292514848, 5466548026234464, -583733614539062, 11047093098458960, 4356270575212500, 5550500372536736, 3315927033192406, -3925060882651056, 2577091482998180, 3323310076400000, -6777002637613614, 14265837157233048, 2876507122449136, -8500302496062720, -1008209911500000, -4500059244404444, 605163250138800, -14744900561681808, 3022455139445032, 1933392856575000, 7286184679525832, 1824665638483968, -1772191961866602, -16264820767025092, -2372669921875000, 13182463760660988, -2320439816840286, -9116112130000624, 589541967046128, -679553289750000, -12834905521216744, -7900432589433024, 2892371324330628, -3226653202818640, 1420321651668750, 1254711469356000, 13999208789685000, 9625884120634368, 5086579775378972, -2749707079950000, -8852374292661324, 5346669393727704, 8010308984753616, 9327515239762488, -3133452117062500, 4297257819667200, -4666180758908532, -12697987887949900, -10520530278544008, 1751422968750000, 7991363849187706, -12747204205671200, 6479364151843800, 7125192174818048, -3261540367475000, 4317995739950556, -64834294251312, 6857973751836800, 10561257203685930, -790255235350000, -6866306388204720, -13403847820172400, 1351004271468336, -558149864627424, 2563764997425000, -2844408097046480, -12904539683712800, 24712803650110800, -1997386469757840, -5944333343350000, 710637761612136, 2620330257280134, 8202174867204296, -7805464783117512, 1599971582031250, 6018865140469448, 5404812742977864, -8671987468123200, 16770252912734791, -3733299072412500, 4843382002437416, -10276785217493312, -15343335181152822, -2501878449155952, 1617104086262500, -23321584987937664, -3718495652060352, 7499551212456236, -5234691092499180, 4894316065975000, 7754088850761440, -17257630069173792, -13227822352930792, 50375037970287360, -4385182822968750, 17028496567065716, 5984801547295116, -12957256378209696, 7487575933981608, -2658447265625000, 2030276944919856, 562089329145664, -19458721038165024, 9887688218705880, -4596791950475000, -5906913904792320, -6008032318768206, 10253301422089400, -25167815444447616, -2931952192500000, 7001201518275486, -7099146626722352, -5161792663780800, -30990299940943072, -3514407038631250, -10107320018489904, 9413598679932200, 27700922499934208, 16742430909940710, 10292674680900000, -2492473432128264, 25204002174736584, 26521718834960898, -30951181476097768, 4062422812500000, 14752653697317840, 5304204820730928, 20330068475630100, -9570957078565880, 12485196669400000, 2333506648569792, 17264369554682688, -23584875227837200, -14126412417916656, -10032752396893750, -37041719808451008, 5872684607871324, -22629185500096968, -72416129391928, 4209172126500000, -9957362553404784, 14579859447660000, 2320225681310316, 11251467107094788, 13267337721925000, 18867532475484000, -24665112297776966, 4192520420193600, -10104297428407392, -4648682187500000, 34756934122310790, 5833185307714428, -6195492241692424, -19391312066310912, -3618536998725000, -57763586562133248, 43069341411232600, -32392193848376400, 11832592727071630, 456352454168750, 15142104970473036, 9086742890215200, -3156826387558864, -11546451012377904, -2997325787500, 3477181611328256, -2268072962607600, -5178168291875300, -238131350880288, 2464736057325000, 9411166508672466, -13206702152218032, -19691277045053352, 15300715808352480, -693161562500000, 21654463802254080, -8346064273442236, 17937376404956688, -19158644604542310, 13222879925775000, 9378661016209656, 3776691211561344, 9609429528124822, 15068160398299040, 7679102956950000, -25195181236379840, -17581409931808800, 2127108323219400, 22013430904022920, -10391693922000000, -20932148565120387, 22555996754537108, -51175024108724184, 29037012322179408, -12801314741146875, 33544724753990416, 24945736199980152, 71136875626433248, -6020521385849208, 3112620585937500, 10844609739134976, -52093806338588672, 9373804156461138, 215191321778016, 3288054572312500, -43181555254220160, -33250585652865106, 190424815402112, -15322602812576820, -5111265665800000, -9855057104835888, -50839507606013952, 18889720472859568, -30273562395005440, -16022715337443750, -20857162434866404, 24698089022191204, 21787782794515584, 29114795540983680, -10466534690750000, 26865596276187576, -52298267592867600, 37639654447484798, 28385926373641920, -2302734375000000, 61472922835583296, 34538911809042714, 16199422594406000, 21437298889504152, -21363965634600000, -12304347271792354, -13216802541080906, 18049915654196028, -15294342802910672, -10394751557750000, 42139474679185176, -56236475527640376, -79519391051520000, -8609030807597832, 22797458026687500, -51550138599330004, 34556081955003504, -11150141139988000, 40501825321402000, -10935406709437500, 808581717665280, -26850864509238768, -70843911433655700, 3450951501914880, -2139507929687500, -25392697716200604, 48467851047721456, -30068280705636624, 75914973428080080, 12573742925056250, 54199974315927712, 64184437413227844, 20700712249700672, 27132179527379442, -2460236598600000, -50747012587921264, 9274248860377600, 29493420325429536, -68898069775435732, 29688244485425000, 9381452749152120, -37775638899920592, 19167514351215200, -42952166359572840, 32196399115500000, 8597852190290936, -43819465465163532, 65672492869265296, -30639694139733504, -2640012949218750, -49342082706417264, 18871032913181336, -13739113196078400, -4278637549475810, -50755176578700000, 5602838501926980, 27447125955797544, 8836936973315856, -18184210477616952, 19338718055275000, -20440990998117840, -26733980231401026, -802130447861136, -13271841700960328, 6112649564850000, 23302677947868226, 95774259558779408, -29104605994284384, -42280348357123520, 19492684554750000, 11006596952349312, 20357200105873884, -54886690495795200, -60158026292420508, 9070806640625000, -505192160247304, 2668942114689600, 3305239664712638, -17898025224357308, 33326252710650000, -12452667561434240, -607761308964800, -92726859993297600, -7849350919509552, 983682939200000, 45817983680736579, 123569566921143448, 22829337309755268, 2361518895089928, -28448900479506250, 26863150100604192, -44307838641708696, 46619423433947400, 3887105016673120, -38138217872362500, -26825517822823284, 108274225259231584, 29820081877600800, -68750336930991392, -3202761015625000, 31710612382828896, -16840085520983386, 16559797560475376, 20711984702421240, 32741314792112500, -23885327612884990, -90571383831462312, 3592450050375528, 38301700842140160, 24085862780981250, 14113372512595240, 9849140420810448, -14788447115656800, 75125349261136872, -34148122928825000, 20808135059448576, -67212082521384192, -39262564701509184, 30286596943910496, -2452766211875000, -93539266907956224, 50822550676446834, -105958012044472600, 2603254073353360, 4464111328125000], "hecke_cutter_primes": [2], "level_primes": [5], "relative_dim": 3, "hecke_orbit_code": 201326597, "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": [2, 1], "newforms": ["5.12.a.a", "5.12.a.b"], "oldspaces": [[1, 1, 1, 2]]}