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mf_newforms • Show schema
{'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': 4, 'field_disc': 32448, 'field_disc_factorization': [[2, 6], [3, 1], [13, 2]], 'field_poly': [12, 0, -10, 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': 1, 'hecke_cutters': [[5, [108, 0, -22, 0, 1]], [11, [192, 0, -40, 0, 1]], [13, [-4, -6, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81064793326228148, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '4788.2.a.s', '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': '4788.2.a.s', 'nf_label': '4.4.32448.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{5}+q^{7}+(\\beta _{1}+\\beta _{2})q^{11}+(3-\\beta _{3})q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 4, '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, 0, 4], 'trace_hash': 912257119116833577, 'trace_moments': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
{'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} -
mf_twists_cc • Show schema
-
id: 48185905
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 81064793326228148, 'source_is_minimal': True, 'source_label': '4788.2.a.s.1.3', 'source_level': 4788, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 81064793326228148, 'target_is_minimal': True, 'target_label': '4788.2.a.s.1.3', 'target_level': 4788, 'twist_class_label': '4788.2.a.s.1.2', 'twist_class_level': 4788, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2} -
id: 48185906
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 81064793326228148, 'source_is_minimal': True, 'source_label': '4788.2.a.s.1.3', 'source_level': 4788, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 81064793326228148, 'target_is_minimal': True, 'target_label': '4788.2.a.s.1.2', 'target_level': 4788, 'twist_class_label': '4788.2.a.s.1.2', 'twist_class_level': 4788, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
-
id: 48185905
-
mf_hecke_charpolys • Show schema
-
id: 3706125
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 81064793326228148, 'p': 2} -
id: 3706126
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 81064793326228148, 'p': 3} -
id: 3706127
{'charpoly_factorization': [[[108, 0, -22, 0, 1], 1]], 'hecke_orbit_code': 81064793326228148, 'p': 5} -
id: 3706128
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 81064793326228148, 'p': 7} -
id: 3706129
{'charpoly_factorization': [[[192, 0, -40, 0, 1], 1]], 'hecke_orbit_code': 81064793326228148, 'p': 11} -
id: 3706130
{'charpoly_factorization': [[[-4, -6, 1], 2]], 'hecke_orbit_code': 81064793326228148, 'p': 13} -
id: 3706131
{'charpoly_factorization': [[[108, 0, -30, 0, 1], 1]], 'hecke_orbit_code': 81064793326228148, 'p': 17} -
id: 3706132
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 81064793326228148, 'p': 19} -
id: 3706133
{'charpoly_factorization': [[[192, 0, -40, 0, 1], 1]], 'hecke_orbit_code': 81064793326228148, 'p': 23} -
id: 3706134
{'charpoly_factorization': [[[108, 0, -30, 0, 1], 1]], 'hecke_orbit_code': 81064793326228148, 'p': 29} -
id: 3706135
{'charpoly_factorization': [[[-4, 6, 1], 2]], 'hecke_orbit_code': 81064793326228148, 'p': 31} -
id: 3706136
{'charpoly_factorization': [[[-2, 1], 4]], 'hecke_orbit_code': 81064793326228148, 'p': 37} -
id: 3706137
{'charpoly_factorization': [[[192, 0, -40, 0, 1], 1]], 'hecke_orbit_code': 81064793326228148, 'p': 41} -
id: 3706138
{'charpoly_factorization': [[[-4, 6, 1], 2]], 'hecke_orbit_code': 81064793326228148, 'p': 43} -
id: 3706139
{'charpoly_factorization': [[[108, 0, -30, 0, 1], 1]], 'hecke_orbit_code': 81064793326228148, 'p': 47} -
id: 3706140
{'charpoly_factorization': [[[108, 0, -22, 0, 1], 1]], 'hecke_orbit_code': 81064793326228148, 'p': 53} -
id: 3706141
{'charpoly_factorization': [[[3072, 0, -160, 0, 1], 1]], 'hecke_orbit_code': 81064793326228148, 'p': 59} -
id: 3706142
{'charpoly_factorization': [[[-2, 1], 4]], 'hecke_orbit_code': 81064793326228148, 'p': 61} -
id: 3706143
{'charpoly_factorization': [[[-48, 4, 1], 2]], 'hecke_orbit_code': 81064793326228148, 'p': 67} -
id: 3706144
{'charpoly_factorization': [[[972, 0, -246, 0, 1], 1]], 'hecke_orbit_code': 81064793326228148, 'p': 71} -
id: 3706145
{'charpoly_factorization': [[[-52, 0, 1], 2]], 'hecke_orbit_code': 81064793326228148, 'p': 73} -
id: 3706146
{'charpoly_factorization': [[[4, 1], 4]], 'hecke_orbit_code': 81064793326228148, 'p': 79} -
id: 3706147
{'charpoly_factorization': [[[108, 0, -22, 0, 1], 1]], 'hecke_orbit_code': 81064793326228148, 'p': 83} -
id: 3706148
{'charpoly_factorization': [[[15552, 0, -264, 0, 1], 1]], 'hecke_orbit_code': 81064793326228148, 'p': 89} -
id: 3706149
{'charpoly_factorization': [[[-36, -8, 1], 2]], 'hecke_orbit_code': 81064793326228148, 'p': 97}
-
id: 3706125
-
mf_newform_portraits • Show schema
{'char_orbit_index': 1, 'hecke_orbit': 19, 'label': '4788.2.a.s', 'level': 4788, 'portrait': 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', 'weight': 2} -
mf_hecke_traces • Show schema
-
id: 63063949
{'hecke_orbit_code': 81064793326228148, 'n': 1, 'trace_an': 4} -
id: 63063950
{'hecke_orbit_code': 81064793326228148, 'n': 2, 'trace_an': 0} -
id: 63063951
{'hecke_orbit_code': 81064793326228148, 'n': 3, 'trace_an': 0} -
id: 63063952
{'hecke_orbit_code': 81064793326228148, 'n': 4, 'trace_an': 0} -
id: 63063953
{'hecke_orbit_code': 81064793326228148, 'n': 5, 'trace_an': 0} -
id: 63063954
{'hecke_orbit_code': 81064793326228148, 'n': 6, 'trace_an': 0} -
id: 63063955
{'hecke_orbit_code': 81064793326228148, 'n': 7, 'trace_an': 4} -
id: 63063956
{'hecke_orbit_code': 81064793326228148, 'n': 8, 'trace_an': 0} -
id: 63063957
{'hecke_orbit_code': 81064793326228148, 'n': 9, 'trace_an': 0} -
id: 63063958
{'hecke_orbit_code': 81064793326228148, 'n': 10, 'trace_an': 0} -
id: 63063959
{'hecke_orbit_code': 81064793326228148, 'n': 11, 'trace_an': 0} -
id: 63063960
{'hecke_orbit_code': 81064793326228148, 'n': 12, 'trace_an': 0} -
id: 63063961
{'hecke_orbit_code': 81064793326228148, 'n': 13, 'trace_an': 12} -
id: 63063962
{'hecke_orbit_code': 81064793326228148, 'n': 14, 'trace_an': 0} -
id: 63063963
{'hecke_orbit_code': 81064793326228148, 'n': 15, 'trace_an': 0} -
id: 63063964
{'hecke_orbit_code': 81064793326228148, 'n': 16, 'trace_an': 0} -
id: 63063965
{'hecke_orbit_code': 81064793326228148, 'n': 17, 'trace_an': 0} -
id: 63063966
{'hecke_orbit_code': 81064793326228148, 'n': 18, 'trace_an': 0} -
id: 63063967
{'hecke_orbit_code': 81064793326228148, 'n': 19, 'trace_an': 4} -
id: 63063968
{'hecke_orbit_code': 81064793326228148, 'n': 20, 'trace_an': 0} -
id: 63063969
{'hecke_orbit_code': 81064793326228148, 'n': 21, 'trace_an': 0} -
id: 63063970
{'hecke_orbit_code': 81064793326228148, 'n': 22, 'trace_an': 0} -
id: 63063971
{'hecke_orbit_code': 81064793326228148, 'n': 23, 'trace_an': 0} -
id: 63063972
{'hecke_orbit_code': 81064793326228148, 'n': 24, 'trace_an': 0} -
id: 63063973
{'hecke_orbit_code': 81064793326228148, 'n': 25, 'trace_an': 24} -
id: 63063974
{'hecke_orbit_code': 81064793326228148, 'n': 26, 'trace_an': 0} -
id: 63063975
{'hecke_orbit_code': 81064793326228148, 'n': 27, 'trace_an': 0} -
id: 63063976
{'hecke_orbit_code': 81064793326228148, 'n': 28, 'trace_an': 0} -
id: 63063977
{'hecke_orbit_code': 81064793326228148, 'n': 29, 'trace_an': 0} -
id: 63063978
{'hecke_orbit_code': 81064793326228148, 'n': 30, 'trace_an': 0} -
id: 63063979
{'hecke_orbit_code': 81064793326228148, 'n': 31, 'trace_an': -12} -
id: 63063980
{'hecke_orbit_code': 81064793326228148, 'n': 32, 'trace_an': 0} -
id: 63063981
{'hecke_orbit_code': 81064793326228148, 'n': 33, 'trace_an': 0} -
id: 63063982
{'hecke_orbit_code': 81064793326228148, 'n': 34, 'trace_an': 0} -
id: 63063983
{'hecke_orbit_code': 81064793326228148, 'n': 35, 'trace_an': 0} -
id: 63063984
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id: 63063985
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id: 63064200
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id: 63064201
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id: 63064202
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id: 63064203
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id: 63064204
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id: 63064205
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id: 63064206
{'hecke_orbit_code': 81064793326228148, 'n': 997, 'trace_an': -64}
-
id: 63063949
Embedded newform data - 4788.2.a.s.1.3