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mf_newforms • Show schema
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{'Nk2': 5184, 'analytic_conductor': 25.303187064213862, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [81, 3, [2], [1]], 'cm_discs': [], 'conrey_index': 28, 'dim': 8, 'field_disc': 94958855267852766096, 'field_disc_factorization': [[2, 4], [3, 4], [223, 2], [1213837, 2]], 'field_poly': [40804, 0, 85327, 0, 13863, 0, 229, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [17438976, -12026880, 7216992, -868320, 113940, -1890, 483, -15, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532534219505745, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 104976, 'hecke_ring_index_factorization': [[2, 4], [3, 8]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '81.8.c.j', 'level': 81, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'minimal_twist': '81.8.a.a', 'prim_orbit_index': 3, 'qexp_display': 'q+(4-4\\beta _{1}+\\beta _{2})q^{2}+(-59\\beta _{1}+5\\beta _{3}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '7.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '81.8.c', 'trace_display': [15, 0, 192, -800], 'trace_hash': 1664673194306869175, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.062', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.383', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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-0.21720818462741087, -0.0352070404856727, -0.19032463909668274, -0.12555243847125558, -0.3454344522616992], 'char_orbit_index': 3, 'conrey_index': 55, 'dual_conrey_index': 28, 'dual_embedding_index': 4, 'dual_embedding_m': 4, 'embedding_index': 4, 'embedding_m': 8, 'embedding_root_imag': -10.507841065532038, 'embedding_root_real': 0.0, 'hecke_orbit': 10, 'hecke_orbit_code': 40532534219505745, 'label': '81.8.c.j.55.4', 'level': 81, 'weight': 8}
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mf_newspaces • Show schema
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{'Nk2': 5184, 'analytic_conductor': 25.303187064213862, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [81, 3, [2], [1]], 'conrey_index': 28, 'cusp_dim': 114, 'dim': 54, 'eis_dim': 24, 'eis_new_dim': 4, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 137573171281, 'hecke_orbit_dims': [2, 2, 2, 4, 4, 4, 4, 4, 8, 8, 12], 'label': '81.8.c', 'level': 81, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3], 'level_radical': 3, 'mf_dim': 138, 'mf_new_dim': 58, 'num_forms': 11, 'prim_orbit_index': 3, 'relative_dim': 27, 'sturm_bound': 72, 'trace_bound': 4, 'trace_display': [0, 0, 0, 417], 'traces': [54, 0, 0, -1662, 0, 0, 417, 0, 0, -516, 0, 0, 9237, 0, 0, -98046, 0, 0, -115902, 0, 0, 70770, 0, 0, -431367, 0, 0, -278532, 0, 0, -338964, 0, 0, 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0, 0, -159198524514, 0, 0, -208923182568, 0, 0, -110840460858, 0, 0, 141331234824, 0, 0, 62306906196, 0, 0, -180207937020], 'weight': 8, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46924778
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 40532534219505745, 'source_is_minimal': False, 'source_label': '81.8.c.j.55.4', 'source_level': 81, 'target_conrey_index': 55, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 40532534219505745, 'target_is_minimal': False, 'target_label': '81.8.c.j.55.4', 'target_level': 81, 'twist_class_label': '81.8.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 8}
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id: 46924779
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 40532534219505745, 'source_is_minimal': False, 'source_label': '81.8.c.j.55.4', 'source_level': 81, 'target_conrey_index': 55, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028934592135249, 'target_is_minimal': False, 'target_label': '81.8.c.i.55.1', 'target_level': 81, 'twist_class_label': '81.8.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 8}
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id: 46924780
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 40532534219505745, 'source_is_minimal': False, 'source_label': '81.8.c.j.55.4', 'source_level': 81, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4503599761588305, 'target_is_minimal': True, 'target_label': '81.8.a.b.1.4', 'target_level': 81, 'twist_class_label': '81.8.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 8}
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id: 46924781
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 40532534219505745, 'source_is_minimal': False, 'source_label': '81.8.c.j.55.4', 'source_level': 81, 'target_conrey_index': 28, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 40532534219505745, 'target_is_minimal': False, 'target_label': '81.8.c.j.28.4', 'target_level': 81, 'twist_class_label': '81.8.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 8}
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id: 46924782
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 55, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 40532534219505745, 'source_is_minimal': False, 'source_label': '81.8.c.j.55.4', 'source_level': 81, 'target_conrey_index': 28, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028934592135249, 'target_is_minimal': False, 'target_label': '81.8.c.i.28.1', 'target_level': 81, 'twist_class_label': '81.8.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 8}
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id: 46924783
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 55, 'source_dim': 8, 'source_embedding_index': 4, 'source_hecke_orbit_code': 40532534219505745, 'source_is_minimal': False, 'source_label': '81.8.c.j.55.4', 'source_level': 81, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 134217809, 'target_is_minimal': True, 'target_label': '81.8.a.a.1.1', 'target_level': 81, 'twist_class_label': '81.8.a.a.1.1', 'twist_class_level': 81, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 8}
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mf_hecke_charpolys • Show schema
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id: 255400
{'charpoly_factorization': [[[17438976, -12026880, 7216992, -868320, 113940, -1890, 483, -15, 1], 1]], 'hecke_orbit_code': 40532534219505745, 'p': 2}
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id: 255401
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 40532534219505745, 'p': 3}
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id: 255402
{'charpoly_factorization': [[[10148188960413950625, 154880874983052000, 3065081924783250, -9479937798720, 54613433331, -54969408, 257010, -192, 1], 1]], 'hecke_orbit_code': 40532534219505745, 'p': 5}
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id: 255403
{'charpoly_factorization': [[[136329615809116144992256, 753581441381952204800, 3422436307085903104, 4698317378542400, 6052380299152, 2471880800, 2652556, 800, 1], 1]], 'hecke_orbit_code': 40532534219505745, 'p': 7}
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id: 255404
{'charpoly_factorization': [[[131701122972741205549510557696, -78867431885656998700793856, 66372426443461376012544, 7823287699521944256, 3509862434501904, 170043508224, 77911404, 5016, 1], 1]], 'hecke_orbit_code': 40532534219505745, 'p': 11}
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id: 255405
{'charpoly_factorization': [[[503940643880957793166775338801, -534524046506194797701942440, 476949290897799828553834, -98600553387703752640, 18444822097144555, -1226978192320, 131640634, -2200, 1], 1]], 'hecke_orbit_code': 40532534219505745, 'p': 13}
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id: 255406
{'charpoly_factorization': [[[35599424034341889, 3125660754780, -339993018, -19620, 1], 2]], 'hecke_orbit_code': 40532534219505745, 'p': 17}
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id: 255407
{'charpoly_factorization': [[[-59032384614068096, -21189129620720, -1972543404, -11240, 1], 2]], 'hecke_orbit_code': 40532534219505745, 'p': 19}
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id: 255408
{'charpoly_factorization': [[[27841129093949010231875772679970881536, -359762641407135637583857457356800, 36186876266467713102694510848, -1223528289565553535712320, 51540573509251359120, -1060186772170080, 17911685292, -154560, 1], 1]], 'hecke_orbit_code': 40532534219505745, 'p': 23}
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id: 255409
{'charpoly_factorization': [[[837208673109427578522524505404706968721, 19799260524234290019531959016131160, 921345962111800732651017166074, -3847766419159748951400000, 297506089562173071867, 489955407768000, 29744783466, -118680, 1], 1]], 'hecke_orbit_code': 40532534219505745, 'p': 29}
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id: 255410
{'charpoly_factorization': [[[5707458580598282853966307485061247205376, -168110066634324965554630802087870464, 9734327340094585447640863105024, 208935970408235048881700864, 3081006987030420315904, 24067315240795136, 139610317024, 450464, 1], 1]], 'hecke_orbit_code': 40532534219505745, 'p': 31}
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id: 255411
{'charpoly_factorization': [[[1583654162631929477449, 29322442654013560, 43127574198, -711800, 1], 2]], 'hecke_orbit_code': 40532534219505745, 'p': 37}
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id: 255412
{'charpoly_factorization': [[[4763420733365357672083760268974133348359414016, -24575374523096385090062102799241451065344, 117260366795148061447443704548473984, -191028789067540367301036834816, 454042779775870098322224, -570253845862047744, 1194383576904, -1027776, 1], 1]], 'hecke_orbit_code': 40532534219505745, 'p': 41}
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id: 255413
{'charpoly_factorization': [[[294709166577757141930708184414965652606304256, 1483663698301628244271123930503072204800, 12593637026867778993427745467995904, 17428908429581753281397364800, 215078369014211029393552, 548661487929521600, 1286580775756, 1259000, 1], 1]], 'hecke_orbit_code': 40532534219505745, 'p': 43}
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id: 255414
{'charpoly_factorization': [[[6734469882451487857328089804088743701774336, 155963847668368786571982415240479375360, 2578170768327112583926479796568064, 21025814304153413059576381440, 127526625288480010164480, 344019082358787840, 714033297744, -561840, 1], 1]], 'hecke_orbit_code': 40532534219505745, 'p': 47}
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id: 255415
{'charpoly_factorization': [[[-94699138293608776501104, -938364042036399840, 4245673086072, -3858840, 1], 2]], 'hecke_orbit_code': 40532534219505745, 'p': 53}
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id: 255416
{'charpoly_factorization': [[[1080669899054470518424374794408292312416256, 53852014998044294517015493421072646144, 2145767215417700735888768130564096, 26089231754265072783502657536, 250978789222925632858368, 280259240532933888, 633931389744, -341472, 1], 1]], 'hecke_orbit_code': 40532534219505745, 'p': 59}
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id: 255417
{'charpoly_factorization': [[[7341795504535924584268851524070226256814436591441, -25114936128012802108086331104848371534485976, 100383949627890930626098041554668853914, 37188698911157482835836721984576, 46868980133468135240311579, 6404961636183070784, 10501965090634, 2271896, 1], 1]], 'hecke_orbit_code': 40532534219505745, 'p': 61}
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id: 255418
{'charpoly_factorization': [[[6703175967007855315195304613611802523026579275776, -76203845654490238602852649990488252428584960, 830789449005847957224217895797673694976, -412346688661415109638976156185920, 239362807276184527737830800, -36235298542386051520, 16440451591276, -1649560, 1], 1]], 'hecke_orbit_code': 40532534219505745, 'p': 67}
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id: 255419
{'charpoly_factorization': [[[-18348432716176171577178624, -40371974710938176112, 183306813588, 6584688, 1], 2]], 'hecke_orbit_code': 40532534219505745, 'p': 71}
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id: 255420
{'charpoly_factorization': [[[125732952725837287347850489, 9742571119512740380, -24288018808242, -358100, 1], 2]], 'hecke_orbit_code': 40532534219505745, 'p': 73}
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id: 255421
{'charpoly_factorization': [[[1643384458938781165923887420790752859861002118823936, -2701696452288061310516838723645844647280119808, 7108506520323453902902677735451530145024, 4267987932155519959613165025559232, 4383260827340353207520913808, 38795987008201232864, 67851168138796, 1436336, 1], 1]], 'hecke_orbit_code': 40532534219505745, 'p': 79}
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id: 255422
{'charpoly_factorization': [[[10461521343974000603758126725876407149914006755475456, -14684384709714969657249551106259023027775733760, 16500915227313601848281087094711035363328, -6055514262617162900146621175808000, 1917850295374020484755003648, -231102115081434144000, 42135865923408, -1394160, 1], 1]], 'hecke_orbit_code': 40532534219505745, 'p': 83}
-
id: 255423
{'charpoly_factorization': [[[-3482786798932749975435155679, -1269324546548863264452, -50899926543066, 14935932, 1], 2]], 'hecke_orbit_code': 40532534219505745, 'p': 89}
-
id: 255424
{'charpoly_factorization': [[[11679031437398349081634406222730281907352401008650629376, 5096040728398476927736821744774330526571310187520, 1663544187825778350840899191559547976077952, 274842863220148461300392076029235200, 36921478739874669260933975728, 2251943890875647667200, 183747938766952, 4456880, 1], 1]], 'hecke_orbit_code': 40532534219505745, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 10, 'label': '81.8.c.j', 'level': 81, 'portrait': 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'weight': 8}
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mf_hecke_traces • Show schema
Hide schema
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id: 53824969
{'hecke_orbit_code': 40532534219505745, 'n': 1, 'trace_an': 8}
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id: 53824970
{'hecke_orbit_code': 40532534219505745, 'n': 2, 'trace_an': 15}
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id: 53824971
{'hecke_orbit_code': 40532534219505745, 'n': 3, 'trace_an': 0}
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id: 53824972
{'hecke_orbit_code': 40532534219505745, 'n': 4, 'trace_an': -229}
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id: 53824973
{'hecke_orbit_code': 40532534219505745, 'n': 5, 'trace_an': 192}
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id: 53824974
{'hecke_orbit_code': 40532534219505745, 'n': 6, 'trace_an': 0}
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id: 53824975
{'hecke_orbit_code': 40532534219505745, 'n': 7, 'trace_an': -800}
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id: 53824976
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