-
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': 2, 'field_disc': 28, 'field_disc_factorization': [[2, 2], [7, 1]], 'field_poly': [-7, 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, [-6, -2, 1]], [11, [-28, 0, 1]], [13, [0, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45035996307264180, 'hecke_ring_generator_nbound': 5, '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.k', '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.f', 'nf_label': '2.2.28.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1+\\beta )q^{5}-q^{7}-2\\beta q^{11}+(-3+\\beta )q^{17}+\\cdots', 'related_objects': [], 'relative_dim': 2, '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, -2], 'trace_hash': 1532259482862137990, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.003', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.055', 'prec': 17}, 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mf_hecke_cc • Show schema
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'dual_embedding_m': 2, 'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 0.0, 'embedding_root_real': 2.6457513110645907, 'hecke_orbit': 11, 'hecke_orbit_code': 45035996307264180, 'label': '4788.2.a.k.1.2', 'level': 4788, 'weight': 2} -
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: 47071158
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45035996307264180, 'source_is_minimal': False, 'source_label': '4788.2.a.k.1.2', 'source_level': 4788, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45035996307264180, 'target_is_minimal': False, 'target_label': '4788.2.a.k.1.2', 'target_level': 4788, 'twist_class_label': '1596.2.a.f.1.1', 'twist_class_level': 1596, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2} -
id: 47071159
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45035996307264180, 'source_is_minimal': False, 'source_label': '4788.2.a.k.1.2', 'source_level': 4788, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170408508, 'target_is_minimal': True, 'target_label': '1596.2.a.f.1.1', 'target_level': 1596, 'twist_class_label': '1596.2.a.f.1.1', 'twist_class_level': 1596, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2} -
id: 47071160
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 45035996307264180, 'source_is_minimal': False, 'source_label': '4788.2.a.k.1.2', 'source_level': 4788, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 180143985128380656, 'target_is_minimal': False, 'target_label': '6384.2.a.bo.1.1', 'target_level': 6384, 'twist_class_label': '1596.2.a.f.1.1', 'twist_class_level': 1596, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
-
id: 47071158
-
mf_hecke_charpolys • Show schema
-
id: 3706025
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 45035996307264180, 'p': 2} -
id: 3706026
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 45035996307264180, 'p': 3} -
id: 3706027
{'charpoly_factorization': [[[-6, -2, 1], 1]], 'hecke_orbit_code': 45035996307264180, 'p': 5} -
id: 3706028
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 45035996307264180, 'p': 7} -
id: 3706029
{'charpoly_factorization': [[[-28, 0, 1], 1]], 'hecke_orbit_code': 45035996307264180, 'p': 11} -
id: 3706030
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 45035996307264180, 'p': 13} -
id: 3706031
{'charpoly_factorization': [[[2, 6, 1], 1]], 'hecke_orbit_code': 45035996307264180, 'p': 17} -
id: 3706032
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 45035996307264180, 'p': 19} -
id: 3706033
{'charpoly_factorization': [[[-28, 0, 1], 1]], 'hecke_orbit_code': 45035996307264180, 'p': 23} -
id: 3706034
{'charpoly_factorization': [[[42, -14, 1], 1]], 'hecke_orbit_code': 45035996307264180, 'p': 29} -
id: 3706035
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 45035996307264180, 'p': 31} -
id: 3706036
{'charpoly_factorization': [[[-28, 0, 1], 1]], 'hecke_orbit_code': 45035996307264180, 'p': 37} -
id: 3706037
{'charpoly_factorization': [[[-24, 4, 1], 1]], 'hecke_orbit_code': 45035996307264180, 'p': 41} -
id: 3706038
{'charpoly_factorization': [[[-12, -8, 1], 1]], 'hecke_orbit_code': 45035996307264180, 'p': 43} -
id: 3706039
{'charpoly_factorization': [[[42, -14, 1], 1]], 'hecke_orbit_code': 45035996307264180, 'p': 47} -
id: 3706040
{'charpoly_factorization': [[[114, -22, 1], 1]], 'hecke_orbit_code': 45035996307264180, 'p': 53} -
id: 3706041
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 45035996307264180, 'p': 59} -
id: 3706042
{'charpoly_factorization': [[[-12, -8, 1], 1]], 'hecke_orbit_code': 45035996307264180, 'p': 61} -
id: 3706043
{'charpoly_factorization': [[[-24, -4, 1], 1]], 'hecke_orbit_code': 45035996307264180, 'p': 67} -
id: 3706044
{'charpoly_factorization': [[[-62, -2, 1], 1]], 'hecke_orbit_code': 45035996307264180, 'p': 71} -
id: 3706045
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 45035996307264180, 'p': 73} -
id: 3706046
{'charpoly_factorization': [[[-24, -4, 1], 1]], 'hecke_orbit_code': 45035996307264180, 'p': 79} -
id: 3706047
{'charpoly_factorization': [[[-14, -14, 1], 1]], 'hecke_orbit_code': 45035996307264180, 'p': 83} -
id: 3706048
{'charpoly_factorization': [[[-24, 4, 1], 1]], 'hecke_orbit_code': 45035996307264180, 'p': 89} -
id: 3706049
{'charpoly_factorization': [[[-76, 12, 1], 1]], 'hecke_orbit_code': 45035996307264180, 'p': 97}
-
id: 3706025
-
mf_newform_portraits • Show schema
{'char_orbit_index': 1, 'hecke_orbit': 11, 'label': '4788.2.a.k', 'level': 4788, 'portrait': 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', 'weight': 2} -
mf_hecke_traces • Show schema
-
id: 54537823
{'hecke_orbit_code': 45035996307264180, 'n': 1, 'trace_an': 2} -
id: 54537824
{'hecke_orbit_code': 45035996307264180, 'n': 2, 'trace_an': 0} -
id: 54537825
{'hecke_orbit_code': 45035996307264180, 'n': 3, 'trace_an': 0} -
id: 54537826
{'hecke_orbit_code': 45035996307264180, 'n': 4, 'trace_an': 0} -
id: 54537827
{'hecke_orbit_code': 45035996307264180, 'n': 5, 'trace_an': 2} -
id: 54537828
{'hecke_orbit_code': 45035996307264180, 'n': 6, 'trace_an': 0} -
id: 54537829
{'hecke_orbit_code': 45035996307264180, 'n': 7, 'trace_an': -2} -
id: 54537830
{'hecke_orbit_code': 45035996307264180, 'n': 8, 'trace_an': 0} -
id: 54537831
{'hecke_orbit_code': 45035996307264180, 'n': 9, 'trace_an': 0} -
id: 54537832
{'hecke_orbit_code': 45035996307264180, 'n': 10, 'trace_an': 0} -
id: 54537833
{'hecke_orbit_code': 45035996307264180, 'n': 11, 'trace_an': 0} -
id: 54537834
{'hecke_orbit_code': 45035996307264180, 'n': 12, 'trace_an': 0} -
id: 54537835
{'hecke_orbit_code': 45035996307264180, 'n': 13, 'trace_an': 0} -
id: 54537836
{'hecke_orbit_code': 45035996307264180, 'n': 14, 'trace_an': 0} -
id: 54537837
{'hecke_orbit_code': 45035996307264180, 'n': 15, 'trace_an': 0} -
id: 54537838
{'hecke_orbit_code': 45035996307264180, 'n': 16, 'trace_an': 0} -
id: 54537839
{'hecke_orbit_code': 45035996307264180, 'n': 17, 'trace_an': -6} -
id: 54537840
{'hecke_orbit_code': 45035996307264180, 'n': 18, 'trace_an': 0} -
id: 54537841
{'hecke_orbit_code': 45035996307264180, 'n': 19, 'trace_an': 2} -
id: 54537842
{'hecke_orbit_code': 45035996307264180, 'n': 20, 'trace_an': 0} -
id: 54537843
{'hecke_orbit_code': 45035996307264180, 'n': 21, 'trace_an': 0} -
id: 54537844
{'hecke_orbit_code': 45035996307264180, 'n': 22, 'trace_an': 0} -
id: 54537845
{'hecke_orbit_code': 45035996307264180, 'n': 23, 'trace_an': 0} -
id: 54537846
{'hecke_orbit_code': 45035996307264180, 'n': 24, 'trace_an': 0} -
id: 54537847
{'hecke_orbit_code': 45035996307264180, 'n': 25, 'trace_an': 6} -
id: 54537848
{'hecke_orbit_code': 45035996307264180, 'n': 26, 'trace_an': 0} -
id: 54537849
{'hecke_orbit_code': 45035996307264180, 'n': 27, 'trace_an': 0} -
id: 54537850
{'hecke_orbit_code': 45035996307264180, 'n': 28, 'trace_an': 0} -
id: 54537851
{'hecke_orbit_code': 45035996307264180, 'n': 29, 'trace_an': 14} -
id: 54537852
{'hecke_orbit_code': 45035996307264180, 'n': 30, 'trace_an': 0} -
id: 54537853
{'hecke_orbit_code': 45035996307264180, 'n': 31, 'trace_an': -12} -
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{'hecke_orbit_code': 45035996307264180, 'n': 907, 'trace_an': -32} -
id: 54538067
{'hecke_orbit_code': 45035996307264180, 'n': 911, 'trace_an': -90} -
id: 54538068
{'hecke_orbit_code': 45035996307264180, 'n': 919, 'trace_an': -112} -
id: 54538069
{'hecke_orbit_code': 45035996307264180, 'n': 929, 'trace_an': -30} -
id: 54538070
{'hecke_orbit_code': 45035996307264180, 'n': 937, 'trace_an': 28} -
id: 54538071
{'hecke_orbit_code': 45035996307264180, 'n': 941, 'trace_an': -32} -
id: 54538072
{'hecke_orbit_code': 45035996307264180, 'n': 947, 'trace_an': -56} -
id: 54538073
{'hecke_orbit_code': 45035996307264180, 'n': 953, 'trace_an': -26} -
id: 54538074
{'hecke_orbit_code': 45035996307264180, 'n': 961, 'trace_an': 10} -
id: 54538075
{'hecke_orbit_code': 45035996307264180, 'n': 967, 'trace_an': 32} -
id: 54538076
{'hecke_orbit_code': 45035996307264180, 'n': 971, 'trace_an': 0} -
id: 54538077
{'hecke_orbit_code': 45035996307264180, 'n': 977, 'trace_an': -18} -
id: 54538078
{'hecke_orbit_code': 45035996307264180, 'n': 983, 'trace_an': -48} -
id: 54538079
{'hecke_orbit_code': 45035996307264180, 'n': 991, 'trace_an': 24} -
id: 54538080
{'hecke_orbit_code': 45035996307264180, 'n': 997, 'trace_an': 16}
-
id: 54537823
Embedded newform data - 4788.2.a.k.1.2