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{'Nk2': 32004, 'analytic_conductor': 63.88830665722644, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [7, -1], [127, 1]], 'atkin_lehner_string': '+-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8001, 1, [3557, 1144, 7750], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 40, 'fricke_eigenval': -1, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1024, 0, -538564, 0, 16623392, 0, -198291344, 0, 1161667735, 0, -3828389798, 0, 7946973735, 0, -11199889677, 0, 11252772529, 0, -8324328950, 0, 4631870932, 0, -1965116795, 0, 640472505, 0, -160686890, 0, 30923256, 0, -4518569, 0, 491854, 0, -38594, 0, 2061, 0, -67, 0, 1]], [5, [1283525853184, 0, -14523922010112, 0, 68968084968448, 0, -183737812020992, 0, 311435862421440, 0, -360264156020720, 0, 297109444561712, 0, -179817937793424, 0, 81477419674596, 0, 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mf_hecke_cc • Show schema
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{'an_normalized': [[1.0, 0.0], [1.0086858465954838, 0.0], [0.0, 0.0], [0.01744713712204799, 0.0], [-1.8233881298807053, 0.0], [0.0, 0.0], [0.37796447300922725, 0.0], [-0.9910871663168633, 0.0], [0.0, 0.0], [-1.8392257994608754, 0.0], [-1.0560479161817746, 0.0], [0.0, 0.0], [-1.659714340465077, 0.0], [0.3812474144403283, 0.0], [0.0, 0.0], [-1.0171427345282924, 0.0], [-1.7095645464334652, 0.0], [0.0, 0.0], [0.9173263406837674, 0.0], [-0.03181290272874332, 0.0], [0.0, 0.0], [-1.06522058637921, 0.0], [-1.5274171253674398, 0.0], [0.0, 0.0], [2.324744272189856, 0.0], [-1.6741303646186811, 0.0], [0.0, 0.0], [0.006594397987854594, 0.0], [-1.4436653293748778, 0.0], [0.0, 0.0], [0.5107871147151771, 0.0], [-0.03489031396925277, 0.0], [0.0, 0.0], [-1.7244135618288643, 0.0], [-0.6891759336016412, 0.0], [0.0, 0.0], [-0.2025718452323077, 0.0], [0.9252940965569432, 0.0], [0.0, 0.0], [1.8071365747392731, 0.0], [-0.27480240858677596, 0.0], [0.0, 0.0], [-1.6289358467610993, 0.0], [-0.018425012801076463, 0.0], [0.0, 0.0], [-1.5406840362056964, 0.0], [-0.6970841776813452, 0.0], [0.0, 0.0], [0.14285714285714285, 0.0], [2.3449366443118267, 0.0], [0.0, 0.0], [-0.02895726368152364, 0.0], [0.6554098748033595, 0.0], [0.0, 0.0], [1.9255852349511018, 0.0], [-0.3745957385231616, 0.0], [0.0, 0.0], [-1.4562047849610467, 0.0], [-1.7268068314595317, 0.0], [0.0, 0.0], [-0.27512971464572417, 0.0], [0.5152237332365429, 0.0], [0.0, 0.0], [0.9819493686442344, 0.0], [3.0263034273968046, 0.0], [0.0, 0.0], [-0.6836231648733954, 0.0], [-0.02982700706061645, 0.0], [0.0, 0.0], [-0.6951620100382043, 0.0], [1.384848717569901, 0.0], [0.0, 0.0], [0.5978516505163257, 0.0], [-0.2043313532045596, 0.0], [0.0, 0.0], [0.0160047184515762, 0.0], [-0.399148594112137, 0.0], [0.0, 0.0], [0.9079718528737957, 0.0], [1.8546459885332898, 0.0], [0.0, 0.0], [-0.27718930015183013, 0.0], [0.5595237877241749, 0.0], [0.0, 0.0], [3.1171997012316726, 0.0], [-1.6430845336399509, 0.0], [0.0, 0.0], [1.0466355367434235, 0.0], [-0.07201413486351523, 0.0], [0.0, 0.0], [-0.6273130560397399, 0.0], [-0.02664905602885009, 0.0], [0.0, 0.0], [-0.7031389439128244, 0.0], [-1.6726419608296854, 0.0], [0.0, 0.0], [-1.8452866520217794, 0.0], [0.14409797808506913, 0.0], [0.0, 0.0], [0.040560132090592074, 0.0]], 'angles': [-0.1658673781733841, None, -0.43261255177487645, None, -0.3385334405861157, -0.4057890798015578, -0.4131546932974726, -0.17416422800182196, -0.38831176798085554, -0.37834999068230263, -0.20889748189656554, -0.2661478456172351, -0.2719374803193371, -0.4014855146831902, -0.3066615796042061, -0.1968624066819736, -0.4158358144460437, -0.2719637762105287, -0.30552023320083166, -0.12827131781742812, -0.20168584131282172, -0.17500081689948535, -0.2048722380310114, -0.25573194180889786, -0.4369878601446224, -0.35065342681048234, -0.1946574796189318, -0.14768637715376653, -0.3719060631150347, -0.2582024340032231, None, -0.2790521832779362, -0.27161423049287703, -0.29957498081495204, -0.3578618878575963, -0.20706647968530406, -0.23163872114988845, -0.28929960515267944, -0.15069699596185468, -0.37130274420767606, -0.2802562899085504, -0.20859249016380832, -0.06685389380510084, -0.21850640286291248, -0.13300826795730392, -0.307023392545828, -0.3348816130665987, -0.4259342057088567, -0.16997333396399716, -0.3966137866367083, -0.2081589429641035, -0.29024910547937044, -0.2874670932720969, -0.3649993049760412, -0.23093252161524583, -0.25922876354579466, -0.08343447972662998, -0.282798802903075, -0.20316350174105155, -0.1655717726080093, -0.31584349574489495, -0.30892309607562446, -0.15202163156733292, -0.31726264928907516, -0.40304029175216444, -0.17965272996763199, -0.38865026642733397, -0.18017256669464915, -0.24931894163044016, -0.2589106021357966, -0.24960799398733713, -0.23697633229478626, -0.30473418936996366, -0.31306424945389844, -0.22956700111823228, -0.38488551213154015, -0.12062850568304709, -0.2960586171470444, -0.30261950111748487, -0.19819254950207554, -0.34542801909336873, -0.19414592312511944, -0.3743809178767421, -0.37696593823019287, -0.38176978112662324, -0.19071862413321264, -0.2731696848005163, -0.21447600918777132, -0.04923036391954034, -0.024992296996716287, -0.425494021058167, -0.3060931512024028, -0.2741220948728729, -0.407771248963946, -0.3722360314736446, -0.298910671991115, -0.16575001111147705, -0.16810619016725772, -0.16227548879545015, -0.2306107535413169], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 29, 'dual_embedding_m': 29, 'embedding_index': 29, 'embedding_m': 29, 'hecke_orbit': 27, 'hecke_orbit_code': 117093590345195329, 'label': '8001.2.a.ba.1.29', 'level': 8001, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [32, 30, 40, 22, 47, 48, 43, 52], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [1, 2, 2, 2, 2, 2, 2, 2], 'ALdims_old': [91, 100, 92, 102, 85, 76, 79, 78], 'Nk2': 32004, 'analytic_conductor': 63.88830665722644, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [8001, 1, [3557, 1144, 7750], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1017, 'dim': 314, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 33562433, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 7, 11, 12, 13, 14, 15, 16, 16, 16, 18, 19, 20, 22, 28, 32, 40], 'label': '8001.2.a', 'level': 8001, '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': [3, 7, 127], 'level_radical': 2667, 'mf_dim': 1032, 'mf_new_dim': 314, 'num_forms': 27, 'plus_dim': 145, 'prim_orbit_index': 1, 'relative_dim': 314, 'sturm_bound': 2048, 'trace_bound': 5, 'trace_display': [0, 0, -4, 0], 'traces': [314, 0, 0, 320, -4, 0, 0, 0, 0, 4, 16, 0, -8, 0, 0, 332, -4, 0, 4, 4, 0, -28, -4, 0, 290, -40, 0, 0, 0, 0, 12, -30, 0, -26, 8, 0, -16, 6, 0, -32, -8, 0, -8, 38, 0, 16, 36, 0, 314, 32, 0, -30, 16, 0, -8, 0, 0, 20, 20, 0, 12, -62, 0, 332, -36, 0, -8, 72, 0, 28, 52, 0, -64, -38, 0, -24, 0, 0, 16, -20, 0, -24, 16, 0, 28, 24, 0, -10, -32, 0, -4, -52, 0, 40, -44, 0, -108, 0, 0, 344, -12, 0, -48, -90, 0, 28, 84, 0, 8, 64, 0, 32, 16, 0, -68, -40, 0, -32, -4, 0, 302, 74, 0, 0, -24, 0, -10, 24, 0, 36, 16, 0, 24, 44, 0, 88, 20, 0, -20, 20, 0, 150, -56, 0, 8, -148, 0, 56, 52, 0, -48, 28, 0, 0, 112, 0, -68, 180, 0, -112, 16, 0, -84, 2, 0, 24, 4, 0, 354, -28, 0, -48, -44, 0, 16, 188, 0, 12, 12, 0, 36, -36, 0, 108, 20, 0, -68, 162, 0, -68, -20, 0, 20, 88, 0, 320, 24, 0, -56, -8, 0, -92, 24, 0, -4, -144, 0, -32, 120, 0, -56, -16, 0, 14, 60, 0, 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-412, -82, 0, 32, -32, 0, 4, 172, 0, -444, -248, 0, -104, 80, 0, -304, -20, 0, 436, 104, 0, 316, 284, 0, 240, 578, 0, 80, -16, 0, -124, -108, 0, 0, -32, 0, 582, -174, 0, 256, -244, 0, -140, -344, 0, -232, 80, 0, 108, -20, 0, -314, -124, 0, -96, 4, 0, 108, -108, 0, -36, -508, 0, -310, 64, 0, -300, 244, 0, 192, -148, 0, 192, 192, 0, -248], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48617604
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 40, 'source_embedding_index': 29, 'source_hecke_orbit_code': 117093590345195329, 'source_is_minimal': True, 'source_label': '8001.2.a.ba.1.29', 'source_level': 8001, 'target_conrey_index': 1, 'target_dim': 40, 'target_embedding_index': 29, 'target_hecke_orbit_code': 117093590345195329, 'target_is_minimal': True, 'target_label': '8001.2.a.ba.1.29', 'target_level': 8001, 'twist_class_label': '8001.2.a.ba.1.12', 'twist_class_level': 8001, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48617605
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 40, 'source_embedding_index': 29, 'source_hecke_orbit_code': 117093590345195329, 'source_is_minimal': True, 'source_label': '8001.2.a.ba.1.29', 'source_level': 8001, 'target_conrey_index': 1, 'target_dim': 40, 'target_embedding_index': 12, 'target_hecke_orbit_code': 117093590345195329, 'target_is_minimal': True, 'target_label': '8001.2.a.ba.1.12', 'target_level': 8001, 'twist_class_label': '8001.2.a.ba.1.12', 'twist_class_level': 8001, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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hecke_orbit_code 117093590345195329 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 27, 'label': '8001.2.a.ba', 'level': 8001, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 67348555
{'hecke_orbit_code': 117093590345195329, 'n': 1, 'trace_an': 40}
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id: 67348556
{'hecke_orbit_code': 117093590345195329, 'n': 2, 'trace_an': 0}
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id: 67348557
{'hecke_orbit_code': 117093590345195329, 'n': 3, 'trace_an': 0}
-
id: 67348558
{'hecke_orbit_code': 117093590345195329, 'n': 4, 'trace_an': 54}
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id: 67348559
{'hecke_orbit_code': 117093590345195329, 'n': 5, 'trace_an': 0}
-
id: 67348560
{'hecke_orbit_code': 117093590345195329, 'n': 6, 'trace_an': 0}
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id: 67348561
{'hecke_orbit_code': 117093590345195329, 'n': 7, 'trace_an': 40}
-
id: 67348562
{'hecke_orbit_code': 117093590345195329, 'n': 8, 'trace_an': 0}
-
id: 67348563
{'hecke_orbit_code': 117093590345195329, 'n': 9, 'trace_an': 0}
-
id: 67348564
{'hecke_orbit_code': 117093590345195329, 'n': 10, 'trace_an': 20}
-
id: 67348565
{'hecke_orbit_code': 117093590345195329, 'n': 11, 'trace_an': 0}
-
id: 67348566
{'hecke_orbit_code': 117093590345195329, 'n': 12, 'trace_an': 0}
-
id: 67348567
{'hecke_orbit_code': 117093590345195329, 'n': 13, 'trace_an': 10}
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id: 67348568
{'hecke_orbit_code': 117093590345195329, 'n': 14, 'trace_an': 0}
-
id: 67348569
{'hecke_orbit_code': 117093590345195329, 'n': 15, 'trace_an': 0}
-
id: 67348570
{'hecke_orbit_code': 117093590345195329, 'n': 16, 'trace_an': 90}
-
id: 67348571
{'hecke_orbit_code': 117093590345195329, 'n': 17, 'trace_an': 0}
-
id: 67348572
{'hecke_orbit_code': 117093590345195329, 'n': 18, 'trace_an': 0}
-
id: 67348573
{'hecke_orbit_code': 117093590345195329, 'n': 19, 'trace_an': 38}
-
id: 67348574
{'hecke_orbit_code': 117093590345195329, 'n': 20, 'trace_an': 0}
-
id: 67348575
{'hecke_orbit_code': 117093590345195329, 'n': 21, 'trace_an': 0}
-
id: 67348576
{'hecke_orbit_code': 117093590345195329, 'n': 22, 'trace_an': 14}
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