# Stored data for newspace 33.7.b, downloaded from the LMFDB on 28 May 2024.
{"Nk2": 1617, "analytic_conductor": 7.591784759455083, "char_conductor": 3, "char_degree": 1, "char_is_real": true, "char_orbit_index": 2, "char_orbit_label": "b", "char_order": 2, "char_parity": -1, "char_values": [33, 2, [23, 13], [1, 2]], "conrey_index": 23, "cusp_dim": 22, "dim": 20, "eis_dim": 4, "eis_new_dim": 0, "hecke_cutter_primes": [], "hecke_orbit_code": 68836917281, "hecke_orbit_dims": [20], "label": "33.7.b", "level": 33, "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": true, "level_primes": [3, 11], "level_radical": 33, "mf_dim": 26, "mf_new_dim": 20, "num_forms": 1, "prim_orbit_index": 2, "relative_dim": 20, "sturm_bound": 28, "trace_bound": 0, "trace_display": [0, 16, 0, 160], "traces": [20, 0, 16, -772, 0, 286, 160, 0, -1072, 996, 0, 6092, 808, 0, -3032, 28004, 0, 18686, 5920, 0, -20888, 0, 0, -48096, -100612, 0, -17624, -33296, 0, 109582, -90896, 0, -21296, 68928, 0, -28988, 239656, 0, -15416, 34632, 0, 150364, -125840, 0, -242428, 244380, 0, 305492, -186204, 0, -21992, -120368, 0, -777728, -191664, 0, -255840, 601176, 0, 970736, 1108360, 0, 574088, -2533132, 0, 465850, 617728, 0, 323804, -238680, 0, -2031648, -1379960, 0, 2481512, 4678408, 0, -1556840, 347152, 0, -1086136, -1760328, 0, -345760, -4097232, 0, -2983056, -622908, 0, -4093630, 979616, 0, 2363236, -217752, 0, 8811824, -3139256, 0, 212960, 6387356, 0, 504940, 688960, 0, -2074256, -3399816, 0, 10604636, 9489304, 0, -6839400, 8899696, 0, -673704, -328752, 0, 4123376, -15008196, 0, -16904184, -3221020, 0, -3379016, 815896, 0, 4093796, 10853056, 0, 11675904, -14797008, 0, 2193488, -6934840, 0, -7690736, -4139904, 0, -11322790, 1557568, 0, 4969688, 14542476, 0, -12317060, 2544, 0, 7633824, -14961464, 0, 16810484, 6629008, 0, -14982544, 3322176, 0, 15643184, -21248, 0, 12834864, 16831752, 0, 9878354, -384656, 0, -2401124, 25581672, 0, -34878624, -14127780, 0, 12875544, -27834584, 0, -10636680, 24131056, 0, 1962260, -24513204, 0, 23470552, -4638560, 0, 1567056, -39606504, 0, -22168490, 5302704, 0, -290360, 61414608, 0, -3896660, -10389896, 0, 9079096, 76629972, 0, -17555890, -646784, 0, -32371996, -35182032, 0, 25086896, -78168672, 0, -43923992, 20339296, 0, 17404420, -65418800, 0, 14597412, 46310808, 0, 98635152, -10705456, 0, 4564072, 38620296, 0, 71794950, 68149936, 0, -51362660, -36076884, 0, 1451064, 83116072, 0, -20880728, -102936576, 0, -126869464, -43924032, 0, 1151600, -99291504, 0, -182874424, 37915240, 0, 33839056, -97650320, 0, 127996024, -692224, 0, 98978760, 12505092, 0, -69612416, 33445368, 0, 137670712, 275380292, 0, 27559692, -19670800, 0, 41010672, 146084760, 0, -59367924, 41741856, 0, -182900760, -184647608, 0, 44417308, -51173792, 0, -118088624, 74818116, 0, -20494904, -89932808, 0, 84890360, -49530048, 0, 182174720, -4042352, 0, -124298280, 34435632, 0, 260761504, 169556300, 0, 73414568, -137119448, 0, 134206938, 136669296, 0, -54725396, 55913136, 0, -471307508, -112200520, 0, -36997384, -386940536, 0, -233863828, 109770304, 0, 42326120, -231983796, 0, 293233488, -5959640, 0, 311732360, -238879280, 0, -361783248, 42038304, 0, 72265104, 448807512, 0, -26456972, 17670808, 0, 78213136, 225087264, 0, -110204138, 57929152, 0, -221715492, -201771936, 0, -54299680, -251269016, 0, -98095272, 797693952, 0, -167938416, -305490112, 0, 221473052, -59770992, 0, 688249632, -480553160, 0, -388212704, 182416212, 0, 217509830, 504574992, 0, 27233128, 207536580, 0, 759755880, 49675812, 0, -2576816, 166058240, 0, -713574816, -329615312, 0, -60050008, -901670580, 0, -76602880, 470442280, 0, -132841560, -134615976, 0, 328852120, -68508896, 0, 357927056, -736370868, 0, -1087774128, 71107344, 0, 17729568, 1067813416, 0, 347746360, 29291376, 0, 436598784, 100872384, 0, -130544480, 363221248, 0, -575845824, -823018108, 0, -2497834, -526834768, 0, -52839652, 915224544, 0, -486478080, -64425128, 0, 448212152, -697509656, 0, 815574502, -539275392, 0, -742317080, 149753472, 0, 661715072, 599727640, 0, 144829072, 575489256, 0, 852772842, 101408096, 0, -86525648, 585998616, 0, -1523220868, 91873000, 0, -308766384, -936931616, 0, -31388288, 901188784, 0, -89761320, -931698672, 0, 632168376, -251888856, 0, 745872248, -1041396464, 0, -1351582604, 76601712, 0, 461665328, 1345714632, 0, 516002400, -43482440, 0, 623635648, 207900240, 0, -183044444, -301331600, 0, -1037991068, -986700696, 0, -415237280, -916172944, 0, -206055592, 1843356720, 0, -277859068, -57704624, 0, 663699120, -116533896, 0, 1752236024, -311309008, 0, -994825768, 124331372, 0, 358085554, 297903760, 0, 136859080, -111834900, 0, 1145574512, 524623608, 0, -191770480, 372388168, 0, -1549785204, -746705744, 0, -39244248, -446425452, 0, -933735888, 673126128, 0, -138324864, -482115680, 0, 895342492, 365711552, 0, 1017837288, -1343736768, 0, -1133122920, 99505560, 0, 593547648, 2368372128, 0, 12880656, 892388320, 0, 412785416, 979212168, 0, -550789096, -207127684, 0, -822177992, -561209008, 0, 723486222, -1623898224, 0, -740722860, 211553880, 0, -311748352, -1028001080, 0, 98412712, -85498896, 0, 804315616, 52581712, 0, -155598312, 718532364, 0, 993723048, 1149123896, 0, -319913784, -2441715176, 0, 611704550, 193099328, 0, -155173304, 34015584, 0, -1770168464, -1355495160, 0, 154888232, -2670374424, 0, -1550271600, 929328208, 0, 361121252, -617573472, 0, 1437574916, 328960816, 0, 598373584, -16265088, 0, -383642638, 377514192, 0, 1096894232, 2209240008, 0, -173220588, 697563776, 0, -129827216, 2885805448, 0, -417114104, -410080512, 0, -436251288, -699180528, 0, 106997424, -688535768, 0, -739853816, 321281392, 0, 69166868, -976501712, 0, 429680808, -595615584, 0, 993907648, 983987464, 0, -187600136, 108737376, 0, 1484354852, 1029079360, 0, 149030864, 761702280, 0, -426998368, 706834484, 0, -57850584, -275045000, 0, -1747577044, 1115169616, 0, -206643288, 477779484, 0, -1699087872, 636137160, 0, 868173048, -3375827352, 0, 1038288660, 689535520, 0, 719350440, -185291808, 0, 862047360, 164479656, 0, -326253272, 386456728, 0, 522050980, -733155024, 0, -1731922144, -414612816, 0, -442530880, -1609401104, 0, -102786848, -2111488272, 0, 1270675206, -1203746112, 0, -1287550100, -768977556, 0, 444486656, 350558344, 0, 787354424, 1361132676, 0, -613929306, 214314128, 0, -762410400, 126641988, 0, 962872056, -975154152, 0, -897918168, -1188214040, 0, 196225826, 1744952416, 0, 129458384, 2345163696, 0, -398053200, -1081518792, 0, 207599136, 2551498576, 0, 415216768, -2933085232, 0, 986960864, 1228381812, 0, -2127215432, -242125208, 0, 345767392, 303881808, 0, 1850688952, -530589840, 0, -347050200, -1514683584, 0, -236508296, 2093663840, 0, 1361072368, -108678872, 0, -46060586, -1594931408, 0, 865197596, 5732423472, 0, 406859616, 789399736, 0, 543923112, -187369512, 0, -2845655104, 389210032, 0, -229549728, -1704181344, 0, -1575253056, -110550960, 0, -574443648, 621438576, 0, -1618119990, -979181072, 0, -1336741724, -2315325072, 0, 282409472, -3251352920, 0, 300231008, 722124720, 0, 1862925944, -660461920, 0, -1673077072, 770644716, 0, 3933793516, 1691685640, 0, 1397187520, 6941796280, 0, -1864819932, 205068352, 0, 242856384, 58465956, 0, 1775633840, -1246646544, 0, -758547072, -5283043524, 0, 879264564, 282284656, 0, -1773915280, -2508252648, 0, 1465351140, 137478608, 0, 4644836736, -2571756104, 0, 985792320, 1333579872, 0, 1608300900, -4577675760, 0, -597292880, 1802855424, 0, -1237016768, 116017680, 0, -6526165342, 1276719856, 0, -909886576, -1025194764, 0, -4878105520, -1648899352, 0, -732547648, 4613356896, 0, -105383014, 455763280, 0, 1411227356, -27661656, 0, 5325581264, 6154096648, 0, -3611885696, 7767680320, 0, 4951425076, 2631378000, 0, 2304074392, -2899829616, 0, -4693072368, -1003767124, 0, -180299952, -379913672, 0, 4274161936, -25768160, 0, -2976799544, -2583856392, 0, 4175740728, 923817832, 0, -4075316712, -8651745168, 0, 619468696, -350786144, 0, 5478899560, -147025896, 0, -185386000, 106493568, 0, 4294743200, -4275514432, 0, -5480024856, 3537247184, 0, -2488070204, -996408048, 0, -8672373640, 1938653416, 0, 2182431192, -3476433576, 0, -4892980710, -5690183696, 0, -1574810860, -6115204740, 0, -2611857936, -4060893352, 0, 1737583232, 6767271208, 0, 5817196628, 1243016784, 0, -2981233336, 9545279724, 0, 6114233084, -3536674368, 0, 1979352048, 8167134480, 0, -3279217684, 1061021296, 0, -2223242720, -118712160, 0, 5338809912, -1367842080, 0, -2376136128, -9430592024, 0, 2056116472, 6765210928, 0, -1110288784, -4415085384, 0, 1463950928, -4103277104, 0, 4195485904, 16296045072, 0, 4936575358, 5034110880, 0, 3051868128, -2857102068, 0, -172970832, -1598243432, 0, -2002942840, -2978462352, 0, -12822976354, 6647130672, 0, 3563507152, 869611512, 0, -5456428496, -9692782192, 0, -3399807416, -4319692992, 0, 531555888, -6752703120, 0, 1794773640, 3149508528, 0, 14052607600, -1495139148, 0, -4604214840, 3569519416, 0, 3502823804, -6597786320, 0, 6093192600, 12386433732, 0, -6361132852, 8326089944, 0, -1431690112, 9129668608, 0, 11257785268, -2878026624, 0, -3056342416, -7222661568, 0, -4635040416, 1794937632, 0, -6344791552, -1221128896, 0, 29880950, -4930756736, 0, 7469406316, 6097781640, 0, 4342443696, 2835275848, 0, -2701757952, -20873672400], "weight": 7, "weight_parity": -1, "newforms": ["33.7.b.a"], "oldspaces": [[3, 2, 2, 2]]}