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mf_newforms • Show schema
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{'Nk2': 3648, 'analytic_conductor': 7.282356664340771, 'analytic_rank': 0, '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, 'conrey_indexes': [11, 83, 467, 539], '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': 2, 'hecke_orbit_code': 4506829476332432, '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_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '912.2.bv.b', 'level': 912, 'level_is_prime': False, 'level_is_prime_power': 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 _{2}+\\beta _{4})q^{3}+\\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, -2, 8, -16], 'trace_hash': 479839136922649771, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.168', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.628', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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-0.39614349569663065, 'hecke_orbit': 2, 'hecke_orbit_code': 4506829476332432, 'label': '912.2.bv.b.11.1', '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_prime': False, 'level_is_prime_power': 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, -28, 0, -18, -16, 0, -16, -4, 0, -34, -4, 0, 12, 56, 0, 38, 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2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 39546402
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4506829476332432, 'source_is_minimal': True, 'source_label': '912.2.bv.b.11.1', 'source_level': 912, 'target_conrey_index': 11, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506829476332432, 'target_is_minimal': True, 'target_label': '912.2.bv.b.11.1', 'target_level': 912, 'twist_class_label': '912.2.bv.a.11.1', 'twist_class_level': 912, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 39546403
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4506829476332432, 'source_is_minimal': True, 'source_label': '912.2.bv.b.11.1', 'source_level': 912, 'target_conrey_index': 11, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 3229848961936, 'target_is_minimal': True, 'target_label': '912.2.bv.a.11.1', 'target_level': 912, 'twist_class_label': '912.2.bv.a.11.1', 'twist_class_level': 912, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 39546404
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4506829476332432, 'source_is_minimal': True, 'source_label': '912.2.bv.b.11.1', 'source_level': 912, 'target_conrey_index': 467, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 3229848961936, 'target_is_minimal': True, 'target_label': '912.2.bv.a.467.1', 'target_level': 912, 'twist_class_label': '912.2.bv.a.11.1', 'twist_class_level': 912, 'twisting_char_label': '16.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 39546405
{'conductor': 19, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4506829476332432, 'source_is_minimal': True, 'source_label': '912.2.bv.b.11.1', 'source_level': 912, 'target_conrey_index': 539, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4506829476332432, 'target_is_minimal': True, 'target_label': '912.2.bv.b.539.2', 'target_level': 912, 'twist_class_label': '912.2.bv.a.11.1', 'twist_class_level': 912, 'twisting_char_label': '19.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 39546406
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4506829476332432, 'source_is_minimal': True, 'source_label': '912.2.bv.b.11.1', 'source_level': 912, 'target_conrey_index': 467, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4506829476332432, 'target_is_minimal': True, 'target_label': '912.2.bv.b.467.2', 'target_level': 912, 'twist_class_label': '912.2.bv.a.11.1', 'twist_class_level': 912, 'twisting_char_label': '48.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 39546407
{'conductor': 57, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4506829476332432, 'source_is_minimal': True, 'source_label': '912.2.bv.b.11.1', 'source_level': 912, 'target_conrey_index': 539, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 3229848961936, 'target_is_minimal': True, 'target_label': '912.2.bv.a.539.1', 'target_level': 912, 'twist_class_label': '912.2.bv.a.11.1', 'twist_class_level': 912, 'twisting_char_label': '57.26', 'twisting_conrey_index': 26, 'weight': 2}
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id: 39546408
{'conductor': 304, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4506829476332432, 'source_is_minimal': True, 'source_label': '912.2.bv.b.11.1', 'source_level': 912, 'target_conrey_index': 83, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 3229848961936, 'target_is_minimal': True, 'target_label': '912.2.bv.a.83.1', 'target_level': 912, 'twist_class_label': '912.2.bv.a.11.1', 'twist_class_level': 912, 'twisting_char_label': '304.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 39546409
{'conductor': 912, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 11, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4506829476332432, 'source_is_minimal': True, 'source_label': '912.2.bv.b.11.1', 'source_level': 912, 'target_conrey_index': 83, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506829476332432, 'target_is_minimal': True, 'target_label': '912.2.bv.b.83.1', 'target_level': 912, 'twist_class_label': '912.2.bv.a.11.1', '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: 1485475
{'charpoly_factorization': [[[4, -4, 2, -2, 1], 2]], 'hecke_orbit_code': 4506829476332432, 'p': 2}
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id: 1485476
{'charpoly_factorization': [[[9, 3, -2, 1, 1], 2]], 'hecke_orbit_code': 4506829476332432, 'p': 3}
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id: 1485477
{'charpoly_factorization': [[[64, -32, 8, -4, 1], 2]], 'hecke_orbit_code': 4506829476332432, 'p': 5}
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id: 1485478
{'charpoly_factorization': [[[2, 1], 8]], 'hecke_orbit_code': 4506829476332432, 'p': 7}
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id: 1485479
{'charpoly_factorization': [[[1, 6, 18, -6, 1], 2]], 'hecke_orbit_code': 4506829476332432, 'p': 11}
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id: 1485480
{'charpoly_factorization': [[[234256, 0, 0, 0, -484, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 4506829476332432, 'p': 13}
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id: 1485481
{'charpoly_factorization': [[[256, 0, -16, 0, 1], 2]], 'hecke_orbit_code': 4506829476332432, 'p': 17}
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id: 1485482
{'charpoly_factorization': [[[130321, 123462, 58482, 18468, 4607, 972, 162, 18, 1], 1]], 'hecke_orbit_code': 4506829476332432, 'p': 19}
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id: 1485483
{'charpoly_factorization': [[[10000, 0, -2400, 0, 476, 0, -24, 0, 1], 1]], 'hecke_orbit_code': 4506829476332432, 'p': 23}
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id: 1485484
{'charpoly_factorization': [[[256, 768, 1152, 3840, 5744, -960, 72, -12, 1], 1]], 'hecke_orbit_code': 4506829476332432, 'p': 29}
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id: 1485485
{'charpoly_factorization': [[[1444, 0, 120, 0, 1], 2]], 'hecke_orbit_code': 4506829476332432, 'p': 31}
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id: 1485486
{'charpoly_factorization': [[[100, 160, 128, 16, 1], 2]], 'hecke_orbit_code': 4506829476332432, 'p': 37}
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id: 1485487
{'charpoly_factorization': [[[625, -300, 119, -12, 1], 2]], 'hecke_orbit_code': 4506829476332432, 'p': 41}
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id: 1485488
{'charpoly_factorization': [[[54700816, -2544224, 59168, -61920, -5956, 720, 8, 4, 1], 1]], 'hecke_orbit_code': 4506829476332432, 'p': 43}
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id: 1485489
{'charpoly_factorization': [[[4, -2, 1], 4]], 'hecke_orbit_code': 4506829476332432, 'p': 47}
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id: 1485490
{'charpoly_factorization': [[[54700816, 2544224, 59168, 61920, -5956, -720, 8, -4, 1], 1]], 'hecke_orbit_code': 4506829476332432, 'p': 53}
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id: 1485491
{'charpoly_factorization': [[[625, 250, 50, 120, -1, -24, 2, -2, 1], 1]], 'hecke_orbit_code': 4506829476332432, 'p': 59}
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id: 1485492
{'charpoly_factorization': [[[40960000, 4096000, 204800, 122880, -256, -1536, 32, -8, 1], 1]], 'hecke_orbit_code': 4506829476332432, 'p': 61}
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id: 1485493
{'charpoly_factorization': [[[4100625, -546750, 36450, -29160, -81, 648, 18, 6, 1], 1]], 'hecke_orbit_code': 4506829476332432, 'p': 67}
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id: 1485494
{'charpoly_factorization': [[[10000, 0, -2400, 0, 476, 0, -24, 0, 1], 1]], 'hecke_orbit_code': 4506829476332432, 'p': 71}
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id: 1485495
{'charpoly_factorization': [[[62742241, 0, -1758462, 0, 41363, 0, -222, 0, 1], 1]], 'hecke_orbit_code': 4506829476332432, 'p': 73}
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id: 1485496
{'charpoly_factorization': [[[1936, 0, -44, 0, 1], 2]], 'hecke_orbit_code': 4506829476332432, 'p': 79}
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id: 1485497
{'charpoly_factorization': [[[49, -70, 50, -10, 1], 2]], 'hecke_orbit_code': 4506829476332432, 'p': 83}
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id: 1485498
{'charpoly_factorization': [[[30976, 0, 176, 0, 1], 2]], 'hecke_orbit_code': 4506829476332432, 'p': 89}
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id: 1485499
{'charpoly_factorization': [[[9801, 0, 99, 0, 1], 2]], 'hecke_orbit_code': 4506829476332432, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 48, 'hecke_orbit': 2, 'label': '912.2.bv.b', 'level': 912, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 99184000
{'hecke_orbit_code': 4506829476332432, 'n': 1, 'trace_an': 8}
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id: 99184001
{'hecke_orbit_code': 4506829476332432, 'n': 2, 'trace_an': 4}
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id: 99184002
{'hecke_orbit_code': 4506829476332432, 'n': 3, 'trace_an': -2}
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id: 99184003
{'hecke_orbit_code': 4506829476332432, 'n': 4, 'trace_an': 0}
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id: 99184004
{'hecke_orbit_code': 4506829476332432, 'n': 5, 'trace_an': 8}
-
id: 99184005
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id: 99184992
{'hecke_orbit_code': 4506829476332432, 'n': 993, 'trace_an': -34}
-
id: 99184993
{'hecke_orbit_code': 4506829476332432, 'n': 994, 'trace_an': 8}
-
id: 99184994
{'hecke_orbit_code': 4506829476332432, 'n': 995, 'trace_an': 80}
-
id: 99184995
{'hecke_orbit_code': 4506829476332432, 'n': 996, 'trace_an': 24}
-
id: 99184996
{'hecke_orbit_code': 4506829476332432, 'n': 997, 'trace_an': -104}
-
id: 99184997
{'hecke_orbit_code': 4506829476332432, 'n': 998, 'trace_an': -140}
-
id: 99184998
{'hecke_orbit_code': 4506829476332432, 'n': 999, 'trace_an': 216}
-
id: 99184999
{'hecke_orbit_code': 4506829476332432, 'n': 1000, 'trace_an': 0}