Query:
/api/mf_newspaces/?_offset=0
Table mf_newspaces
Newspaces $S_k^{\rm new}(N,\chi)$ of modular forms
{'Nk2': 4840, 'analytic_conductor': 25.414290106948965, 'char_conductor': 8, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 2, 'char_parity': -1, 'char_values': [40, 2, [31, 21, 17], [1, 1, 2]], 'conrey_index': 11, 'cusp_dim': 58, 'dim': 40, 'eis_dim': 4, 'eis_new_dim': 0, 'hecke_orbit_code': 412501409832, 'hecke_orbit_dims': [40], 'id': 11202, 'label': '40.11.g', 'level': 40, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'mf_dim': 62, 'mf_new_dim': 40, 'num_forms': 1, 'prim_orbit_index': 4, 'relative_dim': 40, 'sturm_bound': 66, 'trace_bound': 0, 'trace_display': [-22, 0, 0, 0], 'traces': [40, -22, 0, -1864, 0, -19644, 0, -3448, 787320, -31250, -91808, -111340, 0, 371356, 0, 2799880, 0, -974678, -5107040, -1187500, 0, -21770780, 0, -17893256, -78125000, -19018644, 51979296, -17162140, 0, -39875000, 0, 169318728, 54462544, 87480444, 0, -201940944, 0, -326155860, 0, 112375000, -161653008, 712185020, -376781856, -616398040, 0, -858490684, 0, 1902270440, -2260351928, 42968750, 974013760, -1921385120, 0, -5220790120, 0, 3589781656, 431329936, 3219854720, 838739552, 249062500, 0, -1870433440, 0, 6633938816, 0, 8771325920, 4242302240, -9844438680, 0, -1529625000, 0, 8927108888, -152447200, 9091940076, 0, -7279883328, 0, -10280431560, 0, 1749500000, 10276208872, 1931603920, -18091079520, 1505193560, 0, 2847077844, 0, -15509133200, 471743760, -7770656250, -20841136128, 22316350020, 0, 11995356556, 0, -15611242304, 19805271136, -20661363778, 19036908320, 3640625000, 0, 86608544496, 0, -4912041664, -10579750000, -49368146284, -73789989440, 38113374144, 0, 41155812500, 0, -182818357480, -61275161200, -7287614280, -21839500000, 125042372640, 0, 23694098764, 0, -70303375000, 65276650232, -248259365980, 59026082784, -66064142120, 0, 47409447876, 0, 58388115792, 86060740128, -80550687500, 222315644320, 293881755736, 0, -137160121116, 0, 10165676896, -50341089040, -18177779220, -307261445920, 113394812500, 0, 157295188560, 0, 336652114360, 0, 150527371956, 349336538080, -150553441080, 0, 38367187500, 0, -80416915520, 134057174944, 570754750112, -18881000000, -547357363960, 0, -604026266680, 0, -52838125000, -187318118848, -46340879402, 641347938880, -837569732280, 0, -503633808444, 0, 1112710274800, -165031790328, -44680812500, -1397112170848, 341288187956, 0, -1500784840000, 0, 416863836192, 415287001360, 694919150620, 1337880343520, 380356937500, 0, 735754978120, 0, 1308714165176, 79939750000, 731834096120, -2182382496704, -1143888473620, 0, 485715312500, 0, -1605255343840, 51694016160, 1304832420436, 918082000000, -677283502944, 0, -568742865516, 0, 6734375000, 1191094624800, -1685627414280, -2550584745120, -1293133526280, 0, 460223504516, 0, -964981580080, 551524997952, -1002125312500, 1912679173472, 1781188804000, 0, 773285753684, 0, -1866464065920, -1039309225760, 141811436940, -4324902777920, 874440000000, 0, 3102865119760, 0, -1218314474944, -1537734375000, -1366823698884, 3966192587776, 3968930952104, 0, -207599250000, 0, -328874891040, -2185901661856, -3566822372564, -1447682000000, 3220821627200, 0, 2692621721200, 0, -403052375000, 1754676418672, -712478406242, 11520853713024, 4751134155240, 0, 3852226417000, 0, -384660376080, 1270716502400, 61035156250, -7597049804768, -393481267420, 0, 1722685530076, 0, -637238908960, -509950214224, -6814497657340, 11365242834112, -1898086625000, 0, -1643441883844, 0, -5095493900560, 53041000000, 938081919752, -10946049245824, 2514376627460, 0, -1070109875000, 0, 3796075694560, -7542765848320, 663471320324, 179312500000, -5148346876440, 0, -9531655557260, 0, 1517212875000, 305801007600, 12766015548420, -7081644530560, -6690632540600, 0, -1586791148008, 0, 3865349285992, 4058671121080, 3829944500000, 16843457702912, -9990349366200, 0, 1238682305284, 0, 5796870544816, -2190714295104, -3645806139140, -10176771723328, 217460937500, 0, -15038784213320, 0, -5137756168560, -1858499250000, 11790634069356, 8573962768480, -14298596903880, 0, -5763180625000, 0, 22089572432880, 3147223697904, -2213110311404, 3475356500000, -8077559839120, 0, 2116368317320, 0, 10920729500000, 4632826348640, 23076554314500, -4816650624576, 7609160493984, 0, -7227359069724, 0, -12750352275280, 5182454944192, 7784750875000, -25791528485408, -27527884236820, 0, 10127119048316, 0, -8999072551840, 9143702738320, 11366468348482, 5943212198080, -2542921000000, 0, -12025535357204, 0, -1031969723464, -4417101250000, -15138441956284, -19309629580960, 28372018595680, 0, -725304687500, 0, 8475809440400, 9135659681264, -40891963807432, -10766877000000, -3919057797248, 0, 37921133102900, 0, -1864150375000, -657768669768, 24194229014360, 65233126424064, 34057699793032, 0, 11059256682400, 0, -7614855638920, -12024256673680, -7620477812500, -143371733888, 29497410151680, 0, -501134969080, 0, -32820786649624, -34087425097280, -35002006348240, 45619764190240, -1607487625000, 0, 45609823243880, 0, -32038856991616, -3537900750000, -4632786418484, -32434702402944, 28902960045864, 0, 15968847750000, 0, -13031581049752, 36528785101040, -28073490627124, 15178238000000, 49811274800152, 0, -15438765201640, 0, -5468515625000, 1081188290672, -89452432396204, -99766785583360, -39388471800720, 0, 23430511267520, 0, -20805538980336, 16174590900400, -5790374625000, 42338506610880, 80340489419780, 0, -12898954213204, 0, 64962743108496, -80181400022864, -16138727048616, -80862666584800, 25497777000000, 0, -27235995059620, 0, -9080367482304, 0, -9460695713400, 53827240715520, -69923857074300, 0, 16039796875000, 0, -5086336268064, -17722069398400, 150666562821800, -58746955500000, -14568973297640, 0, 3153704493984, 0, -10189214250000, -82049629108808, -20277224755320, 127831893302080, -28490046837400, 0, -132379598594204, 0, -14342850212800, 112925200971280, 1903667968750, -16596970687168, -84788535483840, 0, -48355799888684, 0, 65321728957680, 95604422363600, 84228816487520, 100530875208768, 18676036062500, 0, 81632042280200, 0, 173650627833920, 44323443000000, 25441995509324, -97333469326144, -61589041583600, 0, 9861100250000, 0, -37097190675264, -18804414035440, 23926865188320, 9974687500000, -194868853430920, 0, -39110225671080, 0, -45340691250000, 46854977188352, 158971464162280, -335259454859360, -144738403383064, 0, -78233566072324, 0, 121157493914160, 61983501538080, -38623782718750, 104100343978720, 125580689449536, 0, -280012602378488, 0, -33199197845840, 34174642450080, 35743493485324, -74989250460128, 2319335937500, 0, 95973445054260, 0, 104694654509176, -18756600500000, 255766203214832, 131468819054720, 8339103808260, 0, 75211936375000, 0, 50827213032128, 117433732595584, -65090343230724, -70343597500000, 106196368276872, 0, -20163660588880, 0, -59237787500000, 141859850029712, -205841062060160, 333162131424960, -196940858279688, 0, 179765503691076, 0, -254663698917456, -270823452202488, -58382720312500, 152056148897632, 267741616965800, 0, 56757720203400, 0, 319512878560536, -300680729320784, -128626735784380, 15578028883552, 85680672750000, 0, -141844715947920, 0, -176061128829936, -68831103750000, -220647476683800, 91974616841280, 19959999309920, 0, 42521054687500, 0, -176934990469360, 64884301757600, 24242628350116, 186927995000000, 84896499133472, 0, 419354577959440, 0, -27326468625000, -269011341102368, -230568837823304, -339543816378176, 447279117907640, 0, -231209203324204, 0, -452955035128240, -103392856507600, -26566676250000, -557869962489760, -308219637907600, 0, 385091563307832, 0, -326229035951744, 114139199884720, -128673348165138, 270053418498880, 22853428000000, 0, 82846846335680, 0, 114085166929344, 121187401500000, -133482739627044, -619006029428640, 611117495797340, 0, -63335014187500, 0, 47368778965440, -94734828136400, -402370266589072, -236810395000000, -229756836140120, 0, 470060703671800, 0, 34947765625000, -308117177044688, 534171376021660, 693980116725824, 438634614735880, 0, -169597100987680, 0, 83992321278800, 314963330651520, -6352258187500, 1088946402666752, -621445730808104, 0, -54317221803596, 0, 42956568538512, 404938024702016, -524214872754900, -627314044200608, -24936420875000, 0, -390286418045160, 0, -332330100564560, 152587890625000, 646281549056204, 1054246204567936, 477957866097960, 0, 26464038250000, 0, 675392576874240, -635568185506256, 247633857172276, 201728796500000, -601013220476040, 0, 96655060735040, 0, -8570621750000, -26638638400400, 611196289419476, -430294016131616, -189754411054408, 0, -972753219320, 0, -276403038762168, 495263315961280, 37145789062500, -1814552363674560, -407764946016700, 0, 180036826636800, 0, 944781032020112, -38212175577984, -444273083155060, 249958072920480, 90040965125000, 0, -1020454248908980, 0, -118927481613176, -190921101250000, 787017055908316, -787119838669600, -224565344755460, 0, 67406158375000, 0, 695156010353520, 13383213549184, 617559433748884, -101522062500000, -713452990820584, 0, 375608953626504, 0, 54112617000000, 1367853010917952, 523650844381360, 464535135076000, -466578891506000, 0, -1067518668891048, 0, -685255837966936, -223327317629728, -222448832312500, 1788436365110112, -1294293672041960, 0, -94755968310956, 0, 336214046518720, -672812027525024, -225540577577440, -1724421309260672, 33519804687500, 0, -939660535995760, 0, 310419234308160, 80280817250000, 838005672022644, 1352030991351520, 1491671703092840, 0, -10393807625000, 0, 618317513296400, 716611977661600, -654465117274120, 384345595000000, -233198418019328, 0, 875032281041440, 0, -298976193250000, -76752654676288, 811546971651598, 83772053770784, 355332450087840, 0, -369107631528884, 0, -734421181942160, -1778558246753160, -478747828187500, -1648975528219648, 12141033762680, 0, 209523666439596, 0, 918230832952416, 1271322294075856, -2051761407132256, 903737754392672, 146008048250000, 0, 37707264700280, 0, 475556884804800, 197753220750000, 200983827879556, -968033839796224, 1637617461842784, 0, 77880859375000, 0, -412716182598040, -1490417180398896, -1246756752765120, -253425117000000, -1512417700691760, 0, 1439941578005700, 0, -850033468500000, -1895858426105808, -243443895483140, 678529962393600, 1110704563981800, 0, -914410739133884, 0, -2959590123372000, 465174654267760, -906133373875000, 901333303954112, 217462902865880, 0, -249350845415156, 0, 21064778681024, 2777172043413280, -2176795989067780, 898359001199872, 1388517005625000, 0, 575682900796960, 0, 501052780779592, -546474574250000, 1980382562762432, 764839938961696, 1731778860372960, 0, 980550838625000, 0, -977166342909104, -2631107321228480, 749475696344156, 538055034000000, -567178919713920, 0, 3903276652969320, 0, -330700640625000, 1414458121063792, -958546642035220, -2123909553400256, -213869510835800, 0, -983262236886080, 0, -1811817796723520, 3577931222292432, -1634829795093750, -506454697462880, 1043127851829280, 0, -1079356935744888, 0, 2783409016728080, -2341949186200880, -2127347410966360, -1271651840666688, 1327330762375000, 0, 76248031536216, 0, 1255156055536056, -106372156250000, 2675552896065032, -490215546961760, 2738112071086180, 0, 1406946455250000, 0, 411581811455360, 1402967763410720, 3387327118734760, -411974635500000, -2509035746253968, 0, 1648555618512580, 0, -2075246935250000, 2143279404242280, -1532032546038740, 2384898612434400, -2544077674198520, 0, -2740861887712444, 0, -1895356556524880, -592967298097280, -170860242187500, -550216585986048, -1273603534143200, 0, -872700508530400, 0, 4252425602901656, -3963335004785840, -2451874689776960, -182789713778720, 1573465954062500, 0, -1092563398650720, 0, 1353102152245280, 1285514091250000, 2067839620906676, -1484312724313984, 2710480897465120, 0, 2041340801000000, 0, -749306144257840, 5064778424689984, 2777298350359352, 0, -7057260047115800, 0, 2714262401572480, 0, -1222024215250000, -1560486764612240, 3861687719651118, -3109708709479680, -1676296602847440, 0, -6317930870570604, 0, -3720115027491440, -4380545900110048, -1846934957937500, 1509754526642272, -4066977047685460, 0, -4123537156732400, 0, 2835708885402496, 3308528327455040, -1735576503658240, -2709837930208320, 394415906250000, 0, -1308909101186064, 0, 2956340674095824, 1303315042000000, 7690958386554680, 3581211531645376, 5926354381477964, 0, 2154195090750000, 0, 6493528200536816, -1323064761374096, -1244902988481876, -1879197114000000, -5167915812719440, 0, 5989788711888464, 0, -2555658862625000, -7699792062066720, 5338280674890520, 7433047091246720, -4393923237461600, 0, -5758442539848604, 0, -5277670013954240, 657187113927632, -2429392509875000, -1741860578139936, -1503654945172424, 0, -3436240042246524, 0, 9931468032168736, 4630273228368480, -8775619111332020, 2496794578490368, 2281898548687500, 0, -4376506325818560, 0, -830655744104048, -746587151500000, 5455051979468672, -4089865837972704, 6383947076371600, 0, 637023164062500, 0, 3945378954783600, -5832943876956080, 1223659084746836, 1526736957000000, -2937981385429760, 0, 7766485209807680, 0, -2779002303000000, 1537233715123880, -1361993458686520, -5324686996202656, 530116402769880, 0, -10309467572413520, 0, -12387984243267688, 7047222172148128, -2368267952187500, 5147795258103712, -1692913053758324, 0, 3898324896089596, 0, 6855509940822560, -6852580739221600, -9374074373018956, -2389512654755008, 4278718051562500, 0, -3723232988261364, 0, 1636991258797440, -1914436322000000, 5073283441631360, 5313300745173280, 7089390482573920, 0, 5202060537312500, 0, 2037606822301280, 1566968699393584, -45439536826280, -176394562000000, -9207650259956280, 0, 17758181649737444, 0, -219482421875000], 'weight': 11, 'weight_parity': -1}