-
mf_newforms • Show schema
{'Nk2': 4788, 'analytic_conductor': 9.558093121947262, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 3, 'char_parity': 1, 'char_values': [1197, 3, [533, 514, 1009], [3, 2, 3]], 'cm_discs': [], 'conrey_index': 172, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [4, -2, 1]], [5, [1, -1, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504218136216749, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1197.2.j.b', 'level': 1197, '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': [3, 7, 19], 'level_radical': 399, 'minimal_twist': '399.2.j.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+2\\zeta_{6}q^{2}+(-2+2\\zeta_{6})q^{4}+\\zeta_{6}q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1197.2.j', 'trace_display': [2, 0, 1, 4], 'trace_hash': 520382354996506042, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.860', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.113', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.802', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
{'Nk2': 4788, 'analytic_conductor': 9.558093121947262, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 3, 'char_parity': 1, 'char_values': [1197, 3, [533, 514, 1009], [3, 2, 3]], 'conrey_index': 172, 'cusp_dim': 304, 'dim': 120, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 618508846253, 'hecke_orbit_dims': [2, 2, 2, 4, 4, 4, 4, 4, 8, 8, 8, 14, 16, 16, 24], 'label': '1197.2.j', 'level': 1197, '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': [3, 7, 19], 'level_radical': 399, 'mf_dim': 336, 'mf_new_dim': 120, 'num_forms': 15, 'prim_orbit_index': 3, 'relative_dim': 60, 'sturm_bound': 320, 'trace_bound': 5, 'trace_display': [-2, 0, 5, 3], 'traces': [120, -2, 0, -62, 5, 0, 3, 12, 0, -4, 1, 0, 0, 18, 0, -58, 6, 0, -4, -48, 0, 40, -6, 0, -71, 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mf_twists_cc • Show schema
-
id: 35982060
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 172, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504218136216749, 'source_is_minimal': False, 'source_label': '1197.2.j.b.172.1', 'source_level': 1197, 'target_conrey_index': 172, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504218136216749, 'target_is_minimal': False, 'target_label': '1197.2.j.b.172.1', 'target_level': 1197, 'twist_class_label': '399.2.j.a.58.1', 'twist_class_level': 399, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2} -
id: 35982061
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 172, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504218136216749, 'source_is_minimal': False, 'source_label': '1197.2.j.b.172.1', 'source_level': 1197, 'target_conrey_index': 172, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 618508845455, 'target_is_minimal': True, 'target_label': '399.2.j.a.172.1', 'target_level': 399, 'twist_class_label': '399.2.j.a.58.1', 'twist_class_level': 399, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2} -
id: 35982062
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 172, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504218136216749, 'source_is_minimal': False, 'source_label': '1197.2.j.b.172.1', 'source_level': 1197, 'target_conrey_index': 856, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504218136216749, 'target_is_minimal': False, 'target_label': '1197.2.j.b.856.1', 'target_level': 1197, 'twist_class_label': '399.2.j.a.58.1', 'twist_class_level': 399, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2} -
id: 35982063
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 172, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504218136216749, 'source_is_minimal': False, 'source_label': '1197.2.j.b.172.1', 'source_level': 1197, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288303803, 'target_is_minimal': False, 'target_label': '8379.2.a.c.1.1', 'target_level': 8379, 'twist_class_label': '399.2.j.a.58.1', 'twist_class_level': 399, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2} -
id: 35982064
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 172, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504218136216749, 'source_is_minimal': False, 'source_label': '1197.2.j.b.172.1', 'source_level': 1197, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660933307, 'target_is_minimal': False, 'target_label': '8379.2.a.b.1.1', 'target_level': 8379, 'twist_class_label': '399.2.j.a.58.1', 'twist_class_level': 399, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2} -
id: 35982065
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 172, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504218136216749, 'source_is_minimal': False, 'source_label': '1197.2.j.b.172.1', 'source_level': 1197, 'target_conrey_index': 58, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 618508845455, 'target_is_minimal': True, 'target_label': '399.2.j.a.58.1', 'target_level': 399, 'twist_class_label': '399.2.j.a.58.1', 'twist_class_level': 399, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2} -
id: 35982066
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 172, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504218136216749, 'source_is_minimal': False, 'source_label': '1197.2.j.b.172.1', 'source_level': 1197, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934632681, 'target_is_minimal': False, 'target_label': '2793.2.a.l.1.1', 'target_level': 2793, 'twist_class_label': '399.2.j.a.58.1', 'twist_class_level': 399, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 2} -
id: 35982067
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 172, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504218136216749, 'source_is_minimal': False, 'source_label': '1197.2.j.b.172.1', 'source_level': 1197, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996307262185, 'target_is_minimal': False, 'target_label': '2793.2.a.k.1.1', 'target_level': 2793, 'twist_class_label': '399.2.j.a.58.1', 'twist_class_level': 399, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 2}
-
id: 35982060
-
mf_hecke_charpolys • Show schema
-
id: 5185975
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 4504218136216749, 'p': 2} -
id: 5185976
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504218136216749, 'p': 3} -
id: 5185977
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 4504218136216749, 'p': 5} -
id: 5185978
{'charpoly_factorization': [[[7, -4, 1], 1]], 'hecke_orbit_code': 4504218136216749, 'p': 7} -
id: 5185979
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 4504218136216749, 'p': 11} -
id: 5185980
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 4504218136216749, 'p': 13} -
id: 5185981
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 4504218136216749, 'p': 17} -
id: 5185982
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 4504218136216749, 'p': 19} -
id: 5185983
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 4504218136216749, 'p': 23} -
id: 5185984
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 4504218136216749, 'p': 29} -
id: 5185985
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504218136216749, 'p': 31} -
id: 5185986
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 4504218136216749, 'p': 37} -
id: 5185987
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 4504218136216749, 'p': 41} -
id: 5185988
{'charpoly_factorization': [[[7, 1], 2]], 'hecke_orbit_code': 4504218136216749, 'p': 43} -
id: 5185989
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4504218136216749, 'p': 47} -
id: 5185990
{'charpoly_factorization': [[[144, 12, 1], 1]], 'hecke_orbit_code': 4504218136216749, 'p': 53} -
id: 5185991
{'charpoly_factorization': [[[144, -12, 1], 1]], 'hecke_orbit_code': 4504218136216749, 'p': 59} -
id: 5185992
{'charpoly_factorization': [[[100, 10, 1], 1]], 'hecke_orbit_code': 4504218136216749, 'p': 61} -
id: 5185993
{'charpoly_factorization': [[[100, 10, 1], 1]], 'hecke_orbit_code': 4504218136216749, 'p': 67} -
id: 5185994
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 4504218136216749, 'p': 71} -
id: 5185995
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 4504218136216749, 'p': 73} -
id: 5185996
{'charpoly_factorization': [[[100, -10, 1], 1]], 'hecke_orbit_code': 4504218136216749, 'p': 79} -
id: 5185997
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 4504218136216749, 'p': 83} -
id: 5185998
{'charpoly_factorization': [[[196, 14, 1], 1]], 'hecke_orbit_code': 4504218136216749, 'p': 89} -
id: 5185999
{'charpoly_factorization': [[[12, 1], 2]], 'hecke_orbit_code': 4504218136216749, 'p': 97}
-
id: 5185975
-
mf_newform_portraits • Show schema
{'char_orbit_index': 10, 'hecke_orbit': 2, 'label': '1197.2.j.b', 'level': 1197, 'portrait': 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', 'weight': 2} -
mf_hecke_traces • Show schema
-
id: 72619896
{'hecke_orbit_code': 4504218136216749, 'n': 1, 'trace_an': 2} -
id: 72619897
{'hecke_orbit_code': 4504218136216749, 'n': 2, 'trace_an': 2} -
id: 72619898
{'hecke_orbit_code': 4504218136216749, 'n': 3, 'trace_an': 0} -
id: 72619899
{'hecke_orbit_code': 4504218136216749, 'n': 4, 'trace_an': -2} -
id: 72619900
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{'hecke_orbit_code': 4504218136216749, 'n': 683, 'trace_an': -36} -
id: 72620107
{'hecke_orbit_code': 4504218136216749, 'n': 691, 'trace_an': -41} -
id: 72620108
{'hecke_orbit_code': 4504218136216749, 'n': 701, 'trace_an': 42} -
id: 72620109
{'hecke_orbit_code': 4504218136216749, 'n': 709, 'trace_an': -21} -
id: 72620110
{'hecke_orbit_code': 4504218136216749, 'n': 719, 'trace_an': 21} -
id: 72620111
{'hecke_orbit_code': 4504218136216749, 'n': 727, 'trace_an': 94} -
id: 72620112
{'hecke_orbit_code': 4504218136216749, 'n': 729, 'trace_an': 0} -
id: 72620113
{'hecke_orbit_code': 4504218136216749, 'n': 733, 'trace_an': 30} -
id: 72620114
{'hecke_orbit_code': 4504218136216749, 'n': 739, 'trace_an': -51} -
id: 72620115
{'hecke_orbit_code': 4504218136216749, 'n': 743, 'trace_an': 48} -
id: 72620116
{'hecke_orbit_code': 4504218136216749, 'n': 751, 'trace_an': 14} -
id: 72620117
{'hecke_orbit_code': 4504218136216749, 'n': 757, 'trace_an': 4} -
id: 72620118
{'hecke_orbit_code': 4504218136216749, 'n': 761, 'trace_an': -21} -
id: 72620119
{'hecke_orbit_code': 4504218136216749, 'n': 769, 'trace_an': -74} -
id: 72620120
{'hecke_orbit_code': 4504218136216749, 'n': 773, 'trace_an': -28} -
id: 72620121
{'hecke_orbit_code': 4504218136216749, 'n': 787, 'trace_an': -46} -
id: 72620122
{'hecke_orbit_code': 4504218136216749, 'n': 797, 'trace_an': -8} -
id: 72620123
{'hecke_orbit_code': 4504218136216749, 'n': 809, 'trace_an': -27} -
id: 72620124
{'hecke_orbit_code': 4504218136216749, 'n': 811, 'trace_an': 64} -
id: 72620125
{'hecke_orbit_code': 4504218136216749, 'n': 821, 'trace_an': -10} -
id: 72620126
{'hecke_orbit_code': 4504218136216749, 'n': 823, 'trace_an': 24} -
id: 72620127
{'hecke_orbit_code': 4504218136216749, 'n': 827, 'trace_an': 12} -
id: 72620128
{'hecke_orbit_code': 4504218136216749, 'n': 829, 'trace_an': 52} -
id: 72620129
{'hecke_orbit_code': 4504218136216749, 'n': 839, 'trace_an': 112} -
id: 72620130
{'hecke_orbit_code': 4504218136216749, 'n': 841, 'trace_an': 142} -
id: 72620131
{'hecke_orbit_code': 4504218136216749, 'n': 853, 'trace_an': -74} -
id: 72620132
{'hecke_orbit_code': 4504218136216749, 'n': 857, 'trace_an': 40} -
id: 72620133
{'hecke_orbit_code': 4504218136216749, 'n': 859, 'trace_an': -17} -
id: 72620134
{'hecke_orbit_code': 4504218136216749, 'n': 863, 'trace_an': -12} -
id: 72620135
{'hecke_orbit_code': 4504218136216749, 'n': 877, 'trace_an': 32} -
id: 72620136
{'hecke_orbit_code': 4504218136216749, 'n': 881, 'trace_an': -30} -
id: 72620137
{'hecke_orbit_code': 4504218136216749, 'n': 883, 'trace_an': 94} -
id: 72620138
{'hecke_orbit_code': 4504218136216749, 'n': 887, 'trace_an': 14} -
id: 72620139
{'hecke_orbit_code': 4504218136216749, 'n': 907, 'trace_an': -20} -
id: 72620140
{'hecke_orbit_code': 4504218136216749, 'n': 911, 'trace_an': 84} -
id: 72620141
{'hecke_orbit_code': 4504218136216749, 'n': 919, 'trace_an': 7} -
id: 72620142
{'hecke_orbit_code': 4504218136216749, 'n': 929, 'trace_an': -55} -
id: 72620143
{'hecke_orbit_code': 4504218136216749, 'n': 937, 'trace_an': 114} -
id: 72620144
{'hecke_orbit_code': 4504218136216749, 'n': 941, 'trace_an': 20} -
id: 72620145
{'hecke_orbit_code': 4504218136216749, 'n': 947, 'trace_an': -28} -
id: 72620146
{'hecke_orbit_code': 4504218136216749, 'n': 953, 'trace_an': 68} -
id: 72620147
{'hecke_orbit_code': 4504218136216749, 'n': 961, 'trace_an': 31} -
id: 72620148
{'hecke_orbit_code': 4504218136216749, 'n': 967, 'trace_an': -64} -
id: 72620149
{'hecke_orbit_code': 4504218136216749, 'n': 971, 'trace_an': 48} -
id: 72620150
{'hecke_orbit_code': 4504218136216749, 'n': 977, 'trace_an': -42} -
id: 72620151
{'hecke_orbit_code': 4504218136216749, 'n': 983, 'trace_an': 24} -
id: 72620152
{'hecke_orbit_code': 4504218136216749, 'n': 991, 'trace_an': 16} -
id: 72620153
{'hecke_orbit_code': 4504218136216749, 'n': 997, 'trace_an': -25}
-
id: 72619896
Embedded newform data - 1197.2.j.b.172.1