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mf_newforms • Show schema
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{'Nk2': 10944, 'analytic_conductor': 21.847069993022313, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 76, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 39, 'char_orbit_label': 'bm', 'char_order': 6, 'char_parity': 1, 'char_values': [2736, 6, [1711, 2053, 1217, 1009], [3, 6, 6, 1]], 'cm_discs': [], 'conrey_index': 559, 'conrey_indexes': [559, 1855], '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': [[5, [0, 1]], [7, [3, 0, 1]], [11, [12, 0, 1]], [23, [12, -6, 1]], [31, [-1, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 2611373673136, 'hecke_ring_generator_nbound': 13, '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, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 10944, 'analytic_conductor': 21.847069993022313, 'char_conductor': 76, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 39, 'char_orbit_label': 'bm', 'char_order': 6, 'char_parity': 1, 'char_values': [2736, 6, [1711, 2053, 1217, 1009], [3, 6, 6, 1]], 'conrey_index': 559, 'cusp_dim': 912, 'dim': 100, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 23, 31], 'hecke_orbit_code': 2611373673136, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 6, 6, 6, 6, 8, 8, 8, 8, 16], 'label': '2736.2.bm', 'level': 2736, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 19], 'level_radical': 114, 'mf_dim': 1008, 'mf_new_dim': 100, 'num_forms': 20, 'prim_orbit_index': 6, 'relative_dim': 50, 'sturm_bound': 960, 'trace_bound': 31, 'trace_display': [0, 0, 0, 0], 'traces': [100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, -50, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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mf_twists_cc • Show schema
Hide schema
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id: 26544477
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1855, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 2611373673136, 'source_is_minimal': False, 'source_label': '2736.2.bm.a.1855.1', 'source_level': 2736, 'target_conrey_index': 1855, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2611373673136, 'target_is_minimal': False, 'target_label': '2736.2.bm.a.1855.1', 'target_level': 2736, 'twist_class_label': '912.2.bb.a.31.1', 'twist_class_level': 912, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 26544478
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1855, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 2611373673136, 'source_is_minimal': False, 'source_label': '2736.2.bm.a.1855.1', 'source_level': 2736, 'target_conrey_index': 31, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1855459427216, 'target_is_minimal': True, 'target_label': '912.2.bb.a.31.1', 'target_level': 912, 'twist_class_label': '912.2.bb.a.31.1', 'twist_class_level': 912, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 26544479
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1855, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 2611373673136, 'source_is_minimal': False, 'source_label': '2736.2.bm.a.1855.1', 'source_level': 2736, 'target_conrey_index': 1855, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506211001043632, 'target_is_minimal': False, 'target_label': '2736.2.bm.b.1855.1', 'target_level': 2736, 'twist_class_label': '912.2.bb.a.31.1', 'twist_class_level': 912, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 26544480
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1855, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 2611373673136, 'source_is_minimal': False, 'source_label': '2736.2.bm.a.1855.1', 'source_level': 2736, 'target_conrey_index': 31, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4505455086797712, 'target_is_minimal': True, 'target_label': '912.2.bb.b.31.1', 'target_level': 912, 'twist_class_label': '912.2.bb.a.31.1', 'twist_class_level': 912, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 26544481
{'conductor': 19, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1855, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 2611373673136, 'source_is_minimal': False, 'source_label': '2736.2.bm.a.1855.1', 'source_level': 2736, 'target_conrey_index': 559, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506211001043632, 'target_is_minimal': False, 'target_label': '2736.2.bm.b.559.1', 'target_level': 2736, 'twist_class_label': '912.2.bb.a.31.1', 'twist_class_level': 912, 'twisting_char_label': '19.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 26544482
{'conductor': 57, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1855, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 2611373673136, 'source_is_minimal': False, 'source_label': '2736.2.bm.a.1855.1', 'source_level': 2736, 'target_conrey_index': 559, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4505455086797712, 'target_is_minimal': True, 'target_label': '912.2.bb.b.559.1', 'target_level': 912, 'twist_class_label': '912.2.bb.a.31.1', 'twist_class_level': 912, 'twisting_char_label': '57.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 26544483
{'conductor': 76, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1855, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 2611373673136, 'source_is_minimal': False, 'source_label': '2736.2.bm.a.1855.1', 'source_level': 2736, 'target_conrey_index': 559, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2611373673136, 'target_is_minimal': False, 'target_label': '2736.2.bm.a.559.1', 'target_level': 2736, 'twist_class_label': '912.2.bb.a.31.1', 'twist_class_level': 912, 'twisting_char_label': '76.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 26544484
{'conductor': 228, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1855, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 2611373673136, 'source_is_minimal': False, 'source_label': '2736.2.bm.a.1855.1', 'source_level': 2736, 'target_conrey_index': 559, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1855459427216, 'target_is_minimal': True, 'target_label': '912.2.bb.a.559.1', 'target_level': 912, 'twist_class_label': '912.2.bb.a.31.1', 'twist_class_level': 912, 'twisting_char_label': '228.179', 'twisting_conrey_index': 179, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2824325
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 2611373673136, 'p': 2}
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id: 2824326
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 2611373673136, 'p': 3}
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id: 2824327
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 2611373673136, 'p': 5}
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id: 2824328
{'charpoly_factorization': [[[3, 0, 1], 1]], 'hecke_orbit_code': 2611373673136, 'p': 7}
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id: 2824329
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 2611373673136, 'p': 11}
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id: 2824330
{'charpoly_factorization': [[[27, 9, 1], 1]], 'hecke_orbit_code': 2611373673136, 'p': 13}
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id: 2824331
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 2611373673136, 'p': 17}
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id: 2824332
{'charpoly_factorization': [[[19, 8, 1], 1]], 'hecke_orbit_code': 2611373673136, 'p': 19}
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id: 2824333
{'charpoly_factorization': [[[12, -6, 1], 1]], 'hecke_orbit_code': 2611373673136, 'p': 23}
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id: 2824334
{'charpoly_factorization': [[[12, -6, 1], 1]], 'hecke_orbit_code': 2611373673136, 'p': 29}
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id: 2824335
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 2611373673136, 'p': 31}
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id: 2824336
{'charpoly_factorization': [[[75, 0, 1], 1]], 'hecke_orbit_code': 2611373673136, 'p': 37}
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id: 2824337
{'charpoly_factorization': [[[48, -12, 1], 1]], 'hecke_orbit_code': 2611373673136, 'p': 41}
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id: 2824338
{'charpoly_factorization': [[[27, 9, 1], 1]], 'hecke_orbit_code': 2611373673136, 'p': 43}
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id: 2824339
{'charpoly_factorization': [[[108, -18, 1], 1]], 'hecke_orbit_code': 2611373673136, 'p': 47}
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id: 2824340
{'charpoly_factorization': [[[108, -18, 1], 1]], 'hecke_orbit_code': 2611373673136, 'p': 53}
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id: 2824341
{'charpoly_factorization': [[[144, 12, 1], 1]], 'hecke_orbit_code': 2611373673136, 'p': 59}
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id: 2824342
{'charpoly_factorization': [[[25, -5, 1], 1]], 'hecke_orbit_code': 2611373673136, 'p': 61}
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id: 2824343
{'charpoly_factorization': [[[169, 13, 1], 1]], 'hecke_orbit_code': 2611373673136, 'p': 67}
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id: 2824344
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 2611373673136, 'p': 71}
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id: 2824345
{'charpoly_factorization': [[[25, -5, 1], 1]], 'hecke_orbit_code': 2611373673136, 'p': 73}
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id: 2824346
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 2611373673136, 'p': 79}
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id: 2824347
{'charpoly_factorization': [[[300, 0, 1], 1]], 'hecke_orbit_code': 2611373673136, 'p': 83}
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id: 2824348
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 2611373673136, 'p': 89}
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id: 2824349
{'charpoly_factorization': [[[192, -24, 1], 1]], 'hecke_orbit_code': 2611373673136, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 39, 'hecke_orbit': 1, 'label': '2736.2.bm.a', 'level': 2736, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 56677000
{'hecke_orbit_code': 2611373673136, 'n': 1, 'trace_an': 2}
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id: 56677001
{'hecke_orbit_code': 2611373673136, 'n': 2, 'trace_an': 0}
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id: 56677002
{'hecke_orbit_code': 2611373673136, 'n': 3, 'trace_an': 0}
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id: 56677003
{'hecke_orbit_code': 2611373673136, 'n': 4, 'trace_an': 0}
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id: 56677004
{'hecke_orbit_code': 2611373673136, 'n': 5, 'trace_an': 0}
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id: 56677005
{'hecke_orbit_code': 2611373673136, 'n': 6, 'trace_an': 0}
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id: 56677006
{'hecke_orbit_code': 2611373673136, 'n': 7, 'trace_an': 0}
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id: 56677007
{'hecke_orbit_code': 2611373673136, 'n': 8, 'trace_an': 0}
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id: 56677008
{'hecke_orbit_code': 2611373673136, 'n': 9, 'trace_an': 0}
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id: 56677009
{'hecke_orbit_code': 2611373673136, 'n': 10, 'trace_an': 0}
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id: 56677010
{'hecke_orbit_code': 2611373673136, 'n': 11, 'trace_an': 0}
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id: 56677011
{'hecke_orbit_code': 2611373673136, 'n': 12, 'trace_an': 0}
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id: 56677012
{'hecke_orbit_code': 2611373673136, 'n': 13, 'trace_an': -9}
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id: 56677013
{'hecke_orbit_code': 2611373673136, 'n': 14, 'trace_an': 0}
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id: 56677014
{'hecke_orbit_code': 2611373673136, 'n': 15, 'trace_an': 0}
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id: 56677015
{'hecke_orbit_code': 2611373673136, 'n': 16, 'trace_an': 0}
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id: 56677016
{'hecke_orbit_code': 2611373673136, 'n': 17, 'trace_an': 6}
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id: 56677017
{'hecke_orbit_code': 2611373673136, 'n': 18, 'trace_an': 0}
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id: 56677018
{'hecke_orbit_code': 2611373673136, 'n': 19, 'trace_an': -8}
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id: 56677019
{'hecke_orbit_code': 2611373673136, 'n': 20, 'trace_an': 0}
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id: 56677020
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