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{'Nk2': 19152, 'analytic_conductor': 38.23237248778905, 'analytic_rank': 0, '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, [-2, 1]], [11, [-2, 1]], [13, [-2, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510798915670708, '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, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4788.2.a.d', '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, 'minimal_twist': '1596.2.a.c', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+2q^{5}-q^{7}+2q^{11}+2q^{13}-2q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/4788/d'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4788.2.a', 'trace_display': [0, 0, 2, -1], 'trace_hash': 1111209297465853349, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.019', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.008', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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-0.2382821780876853, -0.10973226458061301, -0.24123290028049715, -0.24415887767335887, -0.33882023661233385], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 0.0, 'embedding_root_real': 0.0, 'hecke_orbit': 4, 'hecke_orbit_code': 13510798915670708, 'label': '4788.2.a.d.1.1', 'level': 4788, 'weight': 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: 42665325
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915670708, 'source_is_minimal': False, 'source_label': '4788.2.a.d.1.1', 'source_level': 4788, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915670708, 'target_is_minimal': False, 'target_label': '4788.2.a.d.1.1', 'target_level': 4788, 'twist_class_label': '1596.2.a.c.1.1', 'twist_class_level': 1596, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 42665326
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915670708, 'source_is_minimal': False, 'source_label': '4788.2.a.d.1.1', 'source_level': 4788, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288297020, 'target_is_minimal': True, 'target_label': '1596.2.a.c.1.1', 'target_level': 1596, 'twist_class_label': '1596.2.a.c.1.1', 'twist_class_level': 1596, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 42665327
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915670708, 'source_is_minimal': False, 'source_label': '4788.2.a.d.1.1', 'source_level': 4788, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197425154288, 'target_is_minimal': False, 'target_label': '6384.2.a.h.1.1', 'target_level': 6384, 'twist_class_label': '1596.2.a.c.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: 3705850
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915670708, 'p': 2}
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id: 3705851
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915670708, 'p': 3}
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id: 3705852
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 13510798915670708, 'p': 5}
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id: 3705853
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 13510798915670708, 'p': 7}
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id: 3705854
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 13510798915670708, 'p': 11}
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id: 3705855
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 13510798915670708, 'p': 13}
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id: 3705856
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 13510798915670708, 'p': 17}
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id: 3705857
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 13510798915670708, 'p': 19}
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id: 3705858
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 13510798915670708, 'p': 23}
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id: 3705859
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915670708, 'p': 29}
-
id: 3705860
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 13510798915670708, 'p': 31}
-
id: 3705861
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 13510798915670708, 'p': 37}
-
id: 3705862
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915670708, 'p': 41}
-
id: 3705863
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 13510798915670708, 'p': 43}
-
id: 3705864
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 13510798915670708, 'p': 47}
-
id: 3705865
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915670708, 'p': 53}
-
id: 3705866
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915670708, 'p': 59}
-
id: 3705867
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 13510798915670708, 'p': 61}
-
id: 3705868
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 13510798915670708, 'p': 67}
-
id: 3705869
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 13510798915670708, 'p': 71}
-
id: 3705870
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 13510798915670708, 'p': 73}
-
id: 3705871
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 13510798915670708, 'p': 79}
-
id: 3705872
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 13510798915670708, 'p': 83}
-
id: 3705873
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 13510798915670708, 'p': 89}
-
id: 3705874
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 13510798915670708, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 4, 'label': '4788.2.a.d', '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: 33430069
{'hecke_orbit_code': 13510798915670708, 'n': 1, 'trace_an': 1}
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id: 33430070
{'hecke_orbit_code': 13510798915670708, 'n': 2, 'trace_an': 0}
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id: 33430071
{'hecke_orbit_code': 13510798915670708, 'n': 3, 'trace_an': 0}
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id: 33430072
{'hecke_orbit_code': 13510798915670708, 'n': 4, 'trace_an': 0}
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id: 33430073
{'hecke_orbit_code': 13510798915670708, 'n': 5, 'trace_an': 2}
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id: 33430074
{'hecke_orbit_code': 13510798915670708, 'n': 6, 'trace_an': 0}
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id: 33430075
{'hecke_orbit_code': 13510798915670708, 'n': 7, 'trace_an': -1}
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id: 33430076
{'hecke_orbit_code': 13510798915670708, 'n': 8, 'trace_an': 0}
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id: 33430077
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