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mf_newforms • Show schema
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{'Nk2': 3648, 'analytic_conductor': 7.282356664340771, 'analytic_rank': 1, 'analytic_rank_proved': True, 'char_conductor': 912, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 48, 'char_orbit_label': 'bv', 'char_order': 12, 'char_parity': 1, 'char_values': [912, 12, [799, 229, 305, 97], [6, 3, 6, 8]], 'cm_discs': [], 'conrey_index': 11, 'dim': 8, 'field_disc': 303595776, 'field_disc_factorization': [[2, 8], [3, 4], [11, 4]], 'field_poly': [81, 0, 45, 0, 16, 0, 5, 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': [[5, [64, 32, 8, 4, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 3229848961936, 'hecke_ring_generator_nbound': 19, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 19, 3, 1, 3, 0], [1, 1, 48, 11, 1, 4, 0], [1, 1, 912, 48, 1, 12, 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': '912.2.bv.a', 'level': 912, '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, 3, 19], 'level_radical': 114, 'minimal_twist': '912.2.bv.a', 'nf_label': '8.0.303595776.1', 'prim_orbit_index': 48, 'qexp_display': 'q+(\\beta _{4}-\\beta _{5})q^{2}+\\beta _{1}q^{3}-2\\beta _{3}q^{4}+(2\\beta _{4}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c12', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '912.2.bv', 'trace_display': [-4, 0, -8, -16], 'trace_hash': 1046045156721057963, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.166', 'prec': 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mf_hecke_cc • Show schema
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-1.6861406616345072, 'embedding_root_real': 0.39614349569663065, 'hecke_orbit': 1, 'hecke_orbit_code': 3229848961936, 'label': '912.2.bv.a.11.2', 'level': 912, 'weight': 2}
-
mf_newspaces • Show schema
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{'Nk2': 3648, 'analytic_conductor': 7.282356664340771, 'char_conductor': 912, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 48, 'char_orbit_label': 'bv', 'char_order': 12, 'char_parity': 1, 'char_values': [912, 12, [799, 229, 305, 97], [6, 3, 6, 8]], 'conrey_index': 11, 'cusp_dim': 624, 'dim': 624, 'eis_dim': 32, 'eis_new_dim': 32, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 3229848961936, 'hecke_orbit_dims': [8, 8, 608], 'label': '912.2.bv', 'level': 912, '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, 3, 19], 'level_radical': 114, 'mf_dim': 656, 'mf_new_dim': 656, 'num_forms': 3, 'prim_orbit_index': 48, 'relative_dim': 156, 'sturm_bound': 320, 'trace_bound': 2, 'trace_display': [0, -2, 0, -32], 'traces': [624, 0, -2, -4, 0, -2, -32, 0, 0, 0, 0, -8, -4, 0, 0, 0, 0, 0, 0, 0, -8, -4, 0, -18, 0, 0, -8, -20, 0, 56, 0, 0, -4, 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-848, 0, 74, 0, 0, -4, 204, 0, -872, -4, 0, -48, 672], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 29176193
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 3229848961936, 'source_is_minimal': True, 'source_label': '912.2.bv.a.11.2', 'source_level': 912, 'target_conrey_index': 11, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 3229848961936, 'target_is_minimal': True, 'target_label': '912.2.bv.a.11.2', 'target_level': 912, 'twist_class_label': '912.2.bv.a.11.2', 'twist_class_level': 912, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 29176194
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 3229848961936, 'source_is_minimal': True, 'source_label': '912.2.bv.a.11.2', 'source_level': 912, 'target_conrey_index': 11, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4506829476332432, 'target_is_minimal': True, 'target_label': '912.2.bv.b.11.2', 'target_level': 912, 'twist_class_label': '912.2.bv.a.11.2', 'twist_class_level': 912, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 29176195
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 3229848961936, 'source_is_minimal': True, 'source_label': '912.2.bv.a.11.2', 'source_level': 912, 'target_conrey_index': 467, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506829476332432, 'target_is_minimal': True, 'target_label': '912.2.bv.b.467.1', 'target_level': 912, 'twist_class_label': '912.2.bv.a.11.2', 'twist_class_level': 912, 'twisting_char_label': '16.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 29176196
{'conductor': 19, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 3229848961936, 'source_is_minimal': True, 'source_label': '912.2.bv.a.11.2', 'source_level': 912, 'target_conrey_index': 539, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 3229848961936, 'target_is_minimal': True, 'target_label': '912.2.bv.a.539.2', 'target_level': 912, 'twist_class_label': '912.2.bv.a.11.2', 'twist_class_level': 912, 'twisting_char_label': '19.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 29176197
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 3229848961936, 'source_is_minimal': True, 'source_label': '912.2.bv.a.11.2', 'source_level': 912, 'target_conrey_index': 467, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 3229848961936, 'target_is_minimal': True, 'target_label': '912.2.bv.a.467.2', 'target_level': 912, 'twist_class_label': '912.2.bv.a.11.2', 'twist_class_level': 912, 'twisting_char_label': '48.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 29176198
{'conductor': 57, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 3229848961936, 'source_is_minimal': True, 'source_label': '912.2.bv.a.11.2', 'source_level': 912, 'target_conrey_index': 539, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506829476332432, 'target_is_minimal': True, 'target_label': '912.2.bv.b.539.1', 'target_level': 912, 'twist_class_label': '912.2.bv.a.11.2', 'twist_class_level': 912, 'twisting_char_label': '57.26', 'twisting_conrey_index': 26, 'weight': 2}
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id: 29176199
{'conductor': 304, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 3229848961936, 'source_is_minimal': True, 'source_label': '912.2.bv.a.11.2', 'source_level': 912, 'target_conrey_index': 83, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4506829476332432, 'target_is_minimal': True, 'target_label': '912.2.bv.b.83.2', 'target_level': 912, 'twist_class_label': '912.2.bv.a.11.2', 'twist_class_level': 912, 'twisting_char_label': '304.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 29176200
{'conductor': 912, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 3229848961936, 'source_is_minimal': True, 'source_label': '912.2.bv.a.11.2', 'source_level': 912, 'target_conrey_index': 83, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 3229848961936, 'target_is_minimal': True, 'target_label': '912.2.bv.a.83.2', 'target_level': 912, 'twist_class_label': '912.2.bv.a.11.2', 'twist_class_level': 912, 'twisting_char_label': '912.83', 'twisting_conrey_index': 83, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1485450
{'charpoly_factorization': [[[4, 4, 2, 2, 1], 2]], 'hecke_orbit_code': 3229848961936, 'p': 2}
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id: 1485451
{'charpoly_factorization': [[[81, 0, 45, 0, 16, 0, 5, 0, 1], 1]], 'hecke_orbit_code': 3229848961936, 'p': 3}
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id: 1485452
{'charpoly_factorization': [[[64, 32, 8, 4, 1], 2]], 'hecke_orbit_code': 3229848961936, 'p': 5}
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id: 1485453
{'charpoly_factorization': [[[2, 1], 8]], 'hecke_orbit_code': 3229848961936, 'p': 7}
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id: 1485454
{'charpoly_factorization': [[[1, -6, 18, 6, 1], 2]], 'hecke_orbit_code': 3229848961936, 'p': 11}
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id: 1485455
{'charpoly_factorization': [[[234256, 0, 0, 0, -484, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 3229848961936, 'p': 13}
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id: 1485456
{'charpoly_factorization': [[[256, 0, -16, 0, 1], 2]], 'hecke_orbit_code': 3229848961936, 'p': 17}
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id: 1485457
{'charpoly_factorization': [[[130321, 123462, 58482, 18468, 4607, 972, 162, 18, 1], 1]], 'hecke_orbit_code': 3229848961936, 'p': 19}
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id: 1485458
{'charpoly_factorization': [[[10000, 0, -2400, 0, 476, 0, -24, 0, 1], 1]], 'hecke_orbit_code': 3229848961936, 'p': 23}
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id: 1485459
{'charpoly_factorization': [[[256, -768, 1152, -3840, 5744, 960, 72, 12, 1], 1]], 'hecke_orbit_code': 3229848961936, 'p': 29}
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id: 1485460
{'charpoly_factorization': [[[1444, 0, 120, 0, 1], 2]], 'hecke_orbit_code': 3229848961936, 'p': 31}
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id: 1485461
{'charpoly_factorization': [[[100, 160, 128, 16, 1], 2]], 'hecke_orbit_code': 3229848961936, 'p': 37}
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id: 1485462
{'charpoly_factorization': [[[625, 300, 119, 12, 1], 2]], 'hecke_orbit_code': 3229848961936, 'p': 41}
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id: 1485463
{'charpoly_factorization': [[[54700816, -2544224, 59168, -61920, -5956, 720, 8, 4, 1], 1]], 'hecke_orbit_code': 3229848961936, 'p': 43}
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id: 1485464
{'charpoly_factorization': [[[4, 2, 1], 4]], 'hecke_orbit_code': 3229848961936, 'p': 47}
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id: 1485465
{'charpoly_factorization': [[[54700816, -2544224, 59168, -61920, -5956, 720, 8, 4, 1], 1]], 'hecke_orbit_code': 3229848961936, 'p': 53}
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id: 1485466
{'charpoly_factorization': [[[625, -250, 50, -120, -1, 24, 2, 2, 1], 1]], 'hecke_orbit_code': 3229848961936, 'p': 59}
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id: 1485467
{'charpoly_factorization': [[[40960000, 4096000, 204800, 122880, -256, -1536, 32, -8, 1], 1]], 'hecke_orbit_code': 3229848961936, 'p': 61}
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id: 1485468
{'charpoly_factorization': [[[4100625, -546750, 36450, -29160, -81, 648, 18, 6, 1], 1]], 'hecke_orbit_code': 3229848961936, 'p': 67}
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id: 1485469
{'charpoly_factorization': [[[10000, 0, -2400, 0, 476, 0, -24, 0, 1], 1]], 'hecke_orbit_code': 3229848961936, 'p': 71}
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id: 1485470
{'charpoly_factorization': [[[62742241, 0, -1758462, 0, 41363, 0, -222, 0, 1], 1]], 'hecke_orbit_code': 3229848961936, 'p': 73}
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id: 1485471
{'charpoly_factorization': [[[1936, 0, -44, 0, 1], 2]], 'hecke_orbit_code': 3229848961936, 'p': 79}
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id: 1485472
{'charpoly_factorization': [[[49, 70, 50, 10, 1], 2]], 'hecke_orbit_code': 3229848961936, 'p': 83}
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id: 1485473
{'charpoly_factorization': [[[30976, 0, 176, 0, 1], 2]], 'hecke_orbit_code': 3229848961936, 'p': 89}
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id: 1485474
{'charpoly_factorization': [[[9801, 0, 99, 0, 1], 2]], 'hecke_orbit_code': 3229848961936, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 48, 'hecke_orbit': 1, 'label': '912.2.bv.a', 'level': 912, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 15016698
{'hecke_orbit_code': 3229848961936, 'n': 1, 'trace_an': 8}
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id: 15016699
{'hecke_orbit_code': 3229848961936, 'n': 2, 'trace_an': -4}
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id: 15016700
{'hecke_orbit_code': 3229848961936, 'n': 3, 'trace_an': 0}
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id: 15016701
{'hecke_orbit_code': 3229848961936, 'n': 4, 'trace_an': 0}
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id: 15016702
{'hecke_orbit_code': 3229848961936, 'n': 5, 'trace_an': -8}
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id: 15016703
{'hecke_orbit_code': 3229848961936, 'n': 6, 'trace_an': -2}
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id: 15016704
{'hecke_orbit_code': 3229848961936, 'n': 7, 'trace_an': -16}
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id: 15016705
{'hecke_orbit_code': 3229848961936, 'n': 8, 'trace_an': -16}
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id: 15016706
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