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mf_newforms • Show schema
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{'Nk2': 9450, 'analytic_conductor': 28.610427757831175, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 35, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 6, 'char_parity': -1, 'char_values': [1050, 6, [701, 127, 451], [6, 3, 1]], 'cm_discs': [], 'conrey_index': 199, 'conrey_indexes': [199, 649], 'dim': 16, 'field_disc': 22986704741655040229376, 'field_disc_factorization': [[2, 32], [3, 8], [13, 8]], 'field_poly': [6561, 0, 0, 0, -2511, 0, 0, 0, 880, 0, 0, 0, -31, 0, 0, 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': [[11, [31684, -16376, 15940, 2440, 1954, 16, 58, 4, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504699189330970, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 256, 'hecke_ring_index_factorization': [[2, 8]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0], [1, 1, 35, 9, -1, 6, 0], [1, 1, 7, 4, -1, 6, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1050.3.q.b', 'level': 1050, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'minimal_twist': '1050.3.p.c', 'nf_label': '16.0.22986704741655040229376.1', 'prim_orbit_index': 9, 'qexp_display': 'q-\\beta _{11}q^{2}+(-\\beta _{1}-\\beta _{9})q^{3}+(2+2\\beta _{3}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '2.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1050.3.q', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1424831910743631250, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.075', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_cc • Show schema
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'embedding_m': 3, 'embedding_root_imag': 2.224310460634613, 'embedding_root_real': 0.5960021916431432, 'hecke_orbit': 2, 'hecke_orbit_code': 4504699189330970, 'label': '1050.3.q.b.199.3', 'level': 1050, 'weight': 3}
-
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{'Nk2': 9450, 'analytic_conductor': 28.610427757831175, 'char_conductor': 35, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 6, 'char_parity': -1, 'char_values': [1050, 6, [701, 127, 451], [6, 3, 1]], 'conrey_index': 199, 'cusp_dim': 912, 'dim': 96, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [11], 'hecke_orbit_code': 1099561960474, 'hecke_orbit_dims': [8, 16, 16, 24, 32], 'label': '1050.3.q', 'level': 1050, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 1008, 'mf_new_dim': 96, 'num_forms': 5, 'prim_orbit_index': 9, 'relative_dim': 48, 'sturm_bound': 720, 'trace_bound': 14, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 96, 0, 0, 0, 0, -144, 0, -56, 0, 0, 32, 0, -192, 0, 0, -156, 0, -12, 0, 0, 0, 0, -192, 0, 0, -192, 0, -24, 0, 0, 0, 0, -576, 0, 0, -36, 0, 0, 0, 0, 112, 0, 16, 0, 0, 244, 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0, 1728, 0, 0, -48, 0, -52944, 0, 0, 0, 0, -21296, 0, 0, 5236, 0], 'weight': 3, 'weight_parity': -1}
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mf_twists_cc • Show schema
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id: 37298440
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504699189330970, 'source_is_minimal': False, 'source_label': '1050.3.q.b.199.3', 'source_level': 1050, 'target_conrey_index': 199, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504699189330970, 'target_is_minimal': False, 'target_label': '1050.3.q.b.199.3', 'target_level': 1050, 'twist_class_label': '1050.3.p.c.451.1', 'twist_class_level': 1050, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 37298441
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504699189330970, 'source_is_minimal': False, 'source_label': '1050.3.q.b.199.3', 'source_level': 1050, 'target_conrey_index': 451, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008230097224730, 'target_is_minimal': True, 'target_label': '1050.3.p.c.451.1', 'target_level': 1050, 'twist_class_label': '1050.3.p.c.451.1', 'twist_class_level': 1050, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 37298442
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504699189330970, 'source_is_minimal': False, 'source_label': '1050.3.q.b.199.3', 'source_level': 1050, 'target_conrey_index': 451, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511829724595226, 'target_is_minimal': True, 'target_label': '1050.3.p.d.451.4', 'target_level': 1050, 'twist_class_label': '1050.3.p.c.451.1', 'twist_class_level': 1050, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 37298443
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504699189330970, 'source_is_minimal': False, 'source_label': '1050.3.q.b.199.3', 'source_level': 1050, 'target_conrey_index': 199, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4504699189330970, 'target_is_minimal': False, 'target_label': '1050.3.q.b.199.6', 'target_level': 1050, 'twist_class_label': '1050.3.p.c.451.1', 'twist_class_level': 1050, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 3}
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id: 37298444
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504699189330970, 'source_is_minimal': False, 'source_label': '1050.3.q.b.199.3', 'source_level': 1050, 'target_conrey_index': 649, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4504699189330970, 'target_is_minimal': False, 'target_label': '1050.3.q.b.649.6', 'target_level': 1050, 'twist_class_label': '1050.3.p.c.451.1', 'twist_class_level': 1050, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 3}
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id: 37298445
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504699189330970, 'source_is_minimal': False, 'source_label': '1050.3.q.b.199.3', 'source_level': 1050, 'target_conrey_index': 901, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008230097224730, 'target_is_minimal': True, 'target_label': '1050.3.p.c.901.1', 'target_level': 1050, 'twist_class_label': '1050.3.p.c.451.1', 'twist_class_level': 1050, 'twisting_char_label': '35.12', 'twisting_conrey_index': 12, 'weight': 3}
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id: 37298446
{'conductor': 35, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 199, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504699189330970, 'source_is_minimal': False, 'source_label': '1050.3.q.b.199.3', 'source_level': 1050, 'target_conrey_index': 649, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504699189330970, 'target_is_minimal': False, 'target_label': '1050.3.q.b.649.3', 'target_level': 1050, 'twist_class_label': '1050.3.p.c.451.1', 'twist_class_level': 1050, 'twisting_char_label': '35.19', 'twisting_conrey_index': 19, 'weight': 3}
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id: 37298447
{'conductor': 35, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 199, 'source_dim': 16, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4504699189330970, 'source_is_minimal': False, 'source_label': '1050.3.q.b.199.3', 'source_level': 1050, 'target_conrey_index': 901, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511829724595226, 'target_is_minimal': True, 'target_label': '1050.3.p.d.901.4', 'target_level': 1050, 'twist_class_label': '1050.3.p.c.451.1', 'twist_class_level': 1050, 'twisting_char_label': '35.33', 'twisting_conrey_index': 33, 'weight': 3}
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mf_hecke_charpolys • Show schema
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id: 1634375
{'charpoly_factorization': [[[4, 0, -2, 0, 1], 4]], 'hecke_orbit_code': 4504699189330970, 'p': 2}
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id: 1634376
{'charpoly_factorization': [[[9, 0, 3, 0, 1], 4]], 'hecke_orbit_code': 4504699189330970, 'p': 3}
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id: 1634377
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 4504699189330970, 'p': 5}
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id: 1634378
{'charpoly_factorization': [[[5764801, 0, -316932, 0, 8183, 0, -132, 0, 1], 2]], 'hecke_orbit_code': 4504699189330970, 'p': 7}
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id: 1634379
{'charpoly_factorization': [[[31684, -16376, 15940, 2440, 1954, 16, 58, 4, 1], 2]], 'hecke_orbit_code': 4504699189330970, 'p': 11}
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id: 1634380
{'charpoly_factorization': [[[3500641, 0, -686940, 0, 39206, 0, -540, 0, 1], 2]], 'hecke_orbit_code': 4504699189330970, 'p': 13}
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id: 1634381
{'charpoly_factorization': [[[18359080540098055696, 0, 453978732501277024, 0, 8124090304153888, 0, 63091715338528, 0, 351511714972, 0, 937667824, 0, 1797832, 0, 1588, 0, 1], 1]], 'hecke_orbit_code': 4504699189330970, 'p': 17}
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id: 1634382
{'charpoly_factorization': [[[648364369, 647167608, 218991024, 3659904, -563785, -10368, 1584, 72, 1], 2]], 'hecke_orbit_code': 4504699189330970, 'p': 19}
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id: 1634383
{'charpoly_factorization': [[[66723634538745856, 0, -4125623362015232, 0, 179634194532352, 0, -3892904508416, 0, 61186873792, 0, -405080192, 0, 1945888, 0, -1496, 0, 1], 1]], 'hecke_orbit_code': 4504699189330970, 'p': 23}
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id: 1634384
{'charpoly_factorization': [[[-109496, 24384, -1324, -12, 1], 4]], 'hecke_orbit_code': 4504699189330970, 'p': 29}
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id: 1634385
{'charpoly_factorization': [[[641507584, -150752256, 2082816, 2285568, -17680, -36864, 3456, -96, 1], 2]], 'hecke_orbit_code': 4504699189330970, 'p': 31}
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id: 1634386
{'charpoly_factorization': [[[561418931247753093056161, 0, -2657088097850623419404, 0, 8166234915161391034, 0, -14760028113880496, 0, 19425683272579, 0, -16893495344, 0, 10729114, 0, -4076, 0, 1], 1]], 'hecke_orbit_code': 4504699189330970, 'p': 37}
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id: 1634387
{'charpoly_factorization': [[[16384512004, 0, 1721127432, 0, 6279368, 0, 4764, 0, 1], 2]], 'hecke_orbit_code': 4504699189330970, 'p': 41}
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id: 1634388
{'charpoly_factorization': [[[41573196361984, 0, 77130981120, 0, 48574304, 0, 12144, 0, 1], 2]], 'hecke_orbit_code': 4504699189330970, 'p': 43}
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id: 1634389
{'charpoly_factorization': [[[1673451710579169791247376, 0, 15588133685110738884384, 0, 109853093509314526240, 0, 302798287757861472, 0, 622084524264156, 0, 255611120208, 0, 77449480, 0, 10236, 0, 1], 1]], 'hecke_orbit_code': 4504699189330970, 'p': 47}
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id: 1634390
{'charpoly_factorization': [[[24719182475747458022416, 0, -3140521239636820609632, 0, 395524404329314074784, 0, -438593213201466144, 0, 324855692269788, 0, -140002684656, 0, 44304424, 0, -8148, 0, 1], 1]], 'hecke_orbit_code': 4504699189330970, 'p': 53}
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id: 1634391
{'charpoly_factorization': [[[14372454374404, 1578478393128, 35957161516, -2397423912, -6356190, 1796496, 38206, 312, 1], 2]], 'hecke_orbit_code': 4504699189330970, 'p': 59}
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id: 1634392
{'charpoly_factorization': [[[16806974336161, 1334626672788, 30432207354, -388704312, -16611997, 243576, 15066, 204, 1], 2]], 'hecke_orbit_code': 4504699189330970, 'p': 61}
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id: 1634393
{'charpoly_factorization': [[[14978657546093078498241, 0, -396202639707685374480, 0, 9280871921114078238, 0, -30132525002083200, 0, 74899282169763, 0, -57015964800, 0, 32192478, 0, -6480, 0, 1], 1]], 'hecke_orbit_code': 4504699189330970, 'p': 67}
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id: 1634394
{'charpoly_factorization': [[[27042304, -217856, -11488, 32, 1], 4]], 'hecke_orbit_code': 4504699189330970, 'p': 71}
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id: 1634395
{'charpoly_factorization': [[[3937304579288216856238350426721, 0, 2837695363120343953090970540, 0, 1345293675053996158736218, 0, 370527502699619140400, 0, 74176042946018083, 0, 9040596071600, 0, 785666938, 0, 33740, 0, 1], 1]], 'hecke_orbit_code': 4504699189330970, 'p': 73}
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id: 1634396
{'charpoly_factorization': [[[334870712077729, 11217723344784, 441949702432, 3053611296, 83049135, -705312, 24352, -144, 1], 2]], 'hecke_orbit_code': 4504699189330970, 'p': 79}
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id: 1634397
{'charpoly_factorization': [[[29997547204, 0, -12752786136, 0, 24918152, 0, -10932, 0, 1], 2]], 'hecke_orbit_code': 4504699189330970, 'p': 83}
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id: 1634398
{'charpoly_factorization': [[[9916238788036, 284959850952, -27595327092, -871437960, 106021010, -3235680, 47262, -336, 1], 2]], 'hecke_orbit_code': 4504699189330970, 'p': 89}
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id: 1634399
{'charpoly_factorization': [[[2745758363089, 0, -203590226420, 0, 152995446, 0, -29012, 0, 1], 2]], 'hecke_orbit_code': 4504699189330970, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 17, 'hecke_orbit': 2, 'label': '1050.3.q.b', 'level': 1050, 'portrait': 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', 'weight': 3}
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mf_hecke_traces • Show schema
Hide schema
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id: 94918000
{'hecke_orbit_code': 4504699189330970, 'n': 1, 'trace_an': 16}
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id: 94918001
{'hecke_orbit_code': 4504699189330970, 'n': 2, 'trace_an': 0}
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id: 94918002
{'hecke_orbit_code': 4504699189330970, 'n': 3, 'trace_an': 0}
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id: 94918003
{'hecke_orbit_code': 4504699189330970, 'n': 4, 'trace_an': 16}
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id: 94918004
{'hecke_orbit_code': 4504699189330970, 'n': 5, 'trace_an': 0}
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id: 94918005
{'hecke_orbit_code': 4504699189330970, 'n': 6, 'trace_an': 0}
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id: 94918006
{'hecke_orbit_code': 4504699189330970, 'n': 7, 'trace_an': 0}
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id: 94918007
{'hecke_orbit_code': 4504699189330970, 'n': 8, 'trace_an': 0}
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id: 94918008
{'hecke_orbit_code': 4504699189330970, 'n': 9, 'trace_an': -24}
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id: 94918009
{'hecke_orbit_code': 4504699189330970, 'n': 10, 'trace_an': 0}
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id: 94918010
{'hecke_orbit_code': 4504699189330970, 'n': 11, 'trace_an': -8}
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id: 94918011
{'hecke_orbit_code': 4504699189330970, 'n': 12, 'trace_an': 0}
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id: 94918993
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id: 94918994
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id: 94918997
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