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{'Nk2': 19152, 'analytic_conductor': 38.23237248778905, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, 1], [19, 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': [4788, 1, [2395, 533, 4105, 1009], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [0, 1]], [11, [2, 1]], [13, [-2, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599660929716, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 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mf_hecke_cc • Show schema
Hide schema
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2}
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mf_newspaces • Show schema
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{'ALdims': [0, 0, 0, 0, 0, 0, 0, 0, 6, 4, 4, 6, 6, 7, 7, 6], 'Nk2': 19152, 'analytic_conductor': 38.23237248778905, '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': [4788, 1, [2395, 533, 4105, 1009], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 937, 'dim': 46, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13], 'hecke_orbit_code': 33559220, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 6], 'label': '4788.2.a', 'level': 4788, '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, 7, 19], 'level_radical': 798, 'mf_dim': 984, 'mf_new_dim': 46, 'num_forms': 20, 'plus_dim': 20, 'prim_orbit_index': 1, 'relative_dim': 46, 'sturm_bound': 1920, 'trace_bound': 13, 'trace_display': [0, 0, 8, 0], 'traces': [46, 0, 0, 0, 8, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 42, 0, 0, 0, 16, 0, -24, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, 0, 46, 0, 0, 0, -12, 0, -28, 0, 0, 0, 12, 0, 0, 0, 0, 0, 4, 0, -8, 0, 0, 0, 0, 0, 28, 0, 0, 0, -8, 0, -4, 0, 0, 0, -32, 0, 44, 0, 0, 0, 60, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 20, 0, 0, 0, 48, 0, 0, 0, 0, 0, -4, 0, 44, 0, 0, 0, 0, 0, 50, 0, 0, 0, 84, 0, -52, 0, 0, 0, 28, 0, 2, 0, 0, 0, 12, 0, 28, 0, 0, 0, -8, 0, 16, 0, 0, 0, -44, 0, -8, 0, 0, 0, -44, 0, 0, 0, 0, 0, -24, 0, 28, 0, 0, 0, -4, 0, 58, 0, 0, 0, -28, 0, 16, 0, 0, 0, 80, 0, 52, 0, 0, 0, -28, 0, 24, 0, 0, 0, -28, 0, 16, 0, 0, 0, -24, 0, 76, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, 0, 20, 0, 0, 0, -64, 0, -12, 0, 0, 0, 52, 0, 4, 0, 0, 0, 0, 0, 36, 0, 0, 0, -16, 0, -24, 0, 0, 0, 56, 0, -12, 0, 0, 0, 8, 0, 8, 0, 0, 0, 116, 0, -28, 0, 0, 0, 0, 0, -24, 0, 0, 0, -52, 0, 4, 0, 0, 0, -8, 0, 52, 0, 0, 0, -56, 0, -28, 0, 0, 0, -16, 0, -64, 0, 0, 0, 0, 0, -2, 0, 0, 0, 48, 0, 12, 0, 0, 0, -60, 0, 8, 0, 0, 0, 0, 0, -32, 0, 0, 0, -52, 0, 20, 0, 0, 0, 60, 0, 56, 0, 0, 0, -8, 0, 44, 0, 0, 0, 4, 0, -60, 0, 0, 0, -16, 0, 56, 0, 0, 0, -60, 0, 0, 0, 0, 0, 20, 0, 76, 0, 0, 0, 72, 0, -60, 0, 0, 0, 44, 0, 46, 0, 0, 0, -28, 0, -36, 0, 0, 0, 16, 0, -60, 0, 0, 0, -28, 0, -24, 0, 0, 0, -52, 0, 8, 0, 0, 0, 24, 0, -52, 0, 0, 0, 40, 0, 76, 0, 0, 0, -32, 0, 28, 0, 0, 0, 68, 0, -48, 0, 0, 0, -16, 0, 132, 0, 0, 0, -44, 0, 128, 0, 0, 0, -12, 0, 36, 0, 0, 0, 84, 0, -56, 0, 0, 0, -8, 0, 80, 0, 0, 0, -12, 0, -8, 0, 0, 0, 60, 0, 36, 0, 0, 0, 40, 0, 8, 0, 0, 0, 100, 0, -48, 0, 0, 0, 32, 0, 0, 0, 0, 0, -32, 0, -16, 0, 0, 0, 12, 0, 116, 0, 0, 0, 92, 0, -72, 0, 0, 0, -96, 0, 76, 0, 0, 0, 0, 0, 4, 0, 0, 0, -24, 0, -72, 0, 0, 0, -44, 0, 4, 0, 0, 0, 20, 0, -100, 0, 0, 0, 120, 0, -4, 0, 0, 0, -136, 0, 22, 0, 0, 0, -44, 0, 4, 0, 0, 0, -4, 0, 100, 0, 0, 0, 148, 0, 84, 0, 0, 0, -4, 0, 0, 0, 0, 0, -24, 0, -64, 0, 0, 0, 68, 0, 36, 0, 0, 0, 48, 0, 8, 0, 0, 0, 32, 0, 60, 0, 0, 0, -28, 0, 124, 0, 0, 0, 40, 0, 16, 0, 0, 0, 104, 0, -8, 0, 0, 0, -28, 0, -8, 0, 0, 0, 0, 0, -84, 0, 0, 0, -52, 0, 72, 0, 0, 0, -160, 0, -128, 0, 0, 0, 4, 0, -42, 0, 0, 0, 144, 0, -88, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 76, 0, 0, 0, -52, 0, 32, 0, 0, 0, 4, 0, -52, 0, 0, 0, 8, 0, -84, 0, 0, 0, -12, 0, 116, 0, 0, 0, -156, 0, -20, 0, 0, 0, 104, 0, 28, 0, 0, 0, -16, 0, -128, 0, 0, 0, -8, 0, -104, 0, 0, 0, 8, 0, -136, 0, 0, 0, -84, 0, 16, 0, 0, 0, -76, 0, -68, 0, 0, 0, -64, 0, 36, 0, 0, 0, -64, 0, -40, 0, 0, 0, -44, 0, -244, 0, 0, 0, 16, 0, 20, 0, 0, 0, -160, 0, -208, 0, 0, 0, -104, 0, 60, 0, 0, 0, -16, 0, -236, 0, 0, 0, 0, 0, 68, 0, 0, 0, -48, 0, -16, 0, 0, 0, -64, 0, -12, 0, 0, 0, 172, 0, -192, 0, 0, 0, -36, 0, -196, 0, 0, 0, 92, 0, -152, 0, 0, 0, 40, 0, 180, 0, 0, 0, -108, 0, 4, 0, 0, 0, 132, 0, -4, 0, 0, 0, 4, 0, -240, 0, 0, 0, -40, 0, -40, 0, 0, 0, -108, 0, -48, 0, 0, 0, -56, 0, 116, 0, 0, 0, 0, 0, -68, 0, 0, 0, 72, 0, 86, 0, 0, 0, -92, 0, 0, 0, 0, 0, -116, 0, 172, 0, 0, 0, -12, 0, -196, 0, 0, 0, -4, 0, 40, 0, 0, 0, 56, 0, -116, 0, 0, 0, -36, 0, -100, 0, 0, 0, -132, 0, 48, 0, 0, 0, 36, 0, 48, 0, 0, 0, -16, 0, 80, 0, 0, 0, -112, 0, 44, 0, 0, 0, 172, 0, 112, 0, 0, 0, 36, 0, -188, 0, 0, 0, -24, 0, -112, 0, 0, 0, 44, 0, 12, 0, 0, 0, -44, 0, 0, 0, 0, 0, 172, 0, -56, 0, 0, 0, -28, 0, -88, 0, 0, 0, -12, 0, 248, 0, 0, 0, -72, 0, 160, 0, 0, 0, -16, 0, -118, 0, 0, 0, -120, 0, -172, 0, 0, 0, -92, 0, 20, 0, 0, 0, 100, 0, 24, 0, 0, 0, -196, 0, 0, 0, 0, 0, 64, 0, -164, 0, 0, 0, 168, 0, -52, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 33954992
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599660929716, 'source_is_minimal': False, 'source_label': '4788.2.a.b.1.1', 'source_level': 4788, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660929716, 'target_is_minimal': False, 'target_label': '4788.2.a.b.1.1', 'target_level': 4788, 'twist_class_label': '1596.2.a.b.1.1', 'twist_class_level': 1596, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 33954993
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599660929716, 'source_is_minimal': False, 'source_label': '4788.2.a.b.1.1', 'source_level': 4788, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660926524, 'target_is_minimal': True, 'target_label': '1596.2.a.b.1.1', 'target_level': 1596, 'twist_class_label': '1596.2.a.b.1.1', 'twist_class_level': 1596, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 33954994
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599660929716, 'source_is_minimal': False, 'source_label': '4788.2.a.b.1.1', 'source_level': 4788, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 117093590345193712, 'target_is_minimal': False, 'target_label': '6384.2.a.ba.1.1', 'target_level': 6384, 'twist_class_label': '1596.2.a.b.1.1', 'twist_class_level': 1596, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3705775
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660929716, 'p': 2}
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id: 3705776
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660929716, 'p': 3}
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id: 3705777
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660929716, 'p': 5}
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id: 3705778
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503599660929716, 'p': 7}
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id: 3705779
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 4503599660929716, 'p': 11}
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id: 3705780
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 4503599660929716, 'p': 13}
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id: 3705781
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660929716, 'p': 17}
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id: 3705782
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 4503599660929716, 'p': 19}
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id: 3705783
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 4503599660929716, 'p': 23}
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id: 3705784
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 4503599660929716, 'p': 29}
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id: 3705785
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 4503599660929716, 'p': 31}
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id: 3705786
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 4503599660929716, 'p': 37}
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id: 3705787
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660929716, 'p': 41}
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id: 3705788
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 4503599660929716, 'p': 43}
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id: 3705789
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 4503599660929716, 'p': 47}
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id: 3705790
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 4503599660929716, 'p': 53}
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id: 3705791
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 4503599660929716, 'p': 59}
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id: 3705792
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 4503599660929716, 'p': 61}
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id: 3705793
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660929716, 'p': 67}
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id: 3705794
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 4503599660929716, 'p': 71}
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id: 3705795
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 4503599660929716, 'p': 73}
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id: 3705796
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 4503599660929716, 'p': 79}
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id: 3705797
{'charpoly_factorization': [[[16, 1], 1]], 'hecke_orbit_code': 4503599660929716, 'p': 83}
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id: 3705798
{'charpoly_factorization': [[[16, 1], 1]], 'hecke_orbit_code': 4503599660929716, 'p': 89}
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id: 3705799
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 4503599660929716, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '4788.2.a.b', 'level': 4788, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 17253558
{'hecke_orbit_code': 4503599660929716, 'n': 1, 'trace_an': 1}
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id: 17253559
{'hecke_orbit_code': 4503599660929716, 'n': 2, 'trace_an': 0}
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id: 17253560
{'hecke_orbit_code': 4503599660929716, 'n': 3, 'trace_an': 0}
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id: 17253561
{'hecke_orbit_code': 4503599660929716, 'n': 4, 'trace_an': 0}
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id: 17253562
{'hecke_orbit_code': 4503599660929716, 'n': 5, 'trace_an': 0}
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id: 17253563
{'hecke_orbit_code': 4503599660929716, 'n': 6, 'trace_an': 0}
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id: 17253564
{'hecke_orbit_code': 4503599660929716, 'n': 7, 'trace_an': -1}
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id: 17253565
{'hecke_orbit_code': 4503599660929716, 'n': 8, 'trace_an': 0}
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id: 17253566
{'hecke_orbit_code': 4503599660929716, 'n': 9, 'trace_an': 0}
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id: 17253567
{'hecke_orbit_code': 4503599660929716, 'n': 10, 'trace_an': 0}
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id: 17253568
{'hecke_orbit_code': 4503599660929716, 'n': 11, 'trace_an': -2}
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id: 17253569
{'hecke_orbit_code': 4503599660929716, 'n': 12, 'trace_an': 0}
-
id: 17253570
{'hecke_orbit_code': 4503599660929716, 'n': 13, 'trace_an': 2}
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id: 17253571
{'hecke_orbit_code': 4503599660929716, 'n': 14, 'trace_an': 0}
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id: 17253572
{'hecke_orbit_code': 4503599660929716, 'n': 15, 'trace_an': 0}
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id: 17253573
{'hecke_orbit_code': 4503599660929716, 'n': 16, 'trace_an': 0}
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id: 17253574
{'hecke_orbit_code': 4503599660929716, 'n': 17, 'trace_an': 0}
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id: 17253575
{'hecke_orbit_code': 4503599660929716, 'n': 18, 'trace_an': 0}
-
id: 17253576
{'hecke_orbit_code': 4503599660929716, 'n': 19, 'trace_an': -1}
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