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{'Nk2': 6624, 'analytic_conductor': 13.223226574724032, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [23, 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': [1656, 1, [415, 829, 1289, 649], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [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, [0, 1]], [7, [2, 1]], [11, [0, 1]], [13, [5, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199288297080, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1656.2.a.c', 'level': 1656, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 23], 'level_radical': 138, 'minimal_twist': '184.2.a.d', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-2q^{7}-5q^{13}+6q^{17}+6q^{19}-q^{23}+\\cdots', 'related_objects': ['EllipticCurve/Q/1656/c'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1656.2.a', 'trace_display': [0, 0, 0, -2], 'trace_hash': 2046199871191035797, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.003', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.030', 'prec': 17}, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [23, 1]], 4, 4], [[[2, -1], [3, -1], [23, -1]], 5, 3], [[[2, 1], [3, -1], [23, 1]], 4, 3], [[[2, 1], [3, 1], [23, 1]], 2, 1], [[[2, 1], [3, -1], [23, -1]], 3, 2], [[[2, -1], [3, 1], [23, -1]], 2, 1], [[[2, -1], [3, 1], [23, 1]], 4, 1], [[[2, 1], [3, 1], [23, -1]], 4, 1]], 'ALdims': [2, 4, 4, 3, 4, 2, 4, 5], 'Nk2': 6624, 'analytic_conductor': 13.223226574724032, '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': [1656, 1, [415, 829, 1289, 649], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 273, 'dim': 28, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 13], 'hecke_orbit_code': 33556088, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 4, 4], 'label': '1656.2.a', 'level': 1656, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 23], 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mf_twists_cc • Show schema
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id: 40123212
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199288297080, 'source_is_minimal': False, 'source_label': '1656.2.a.c.1.1', 'source_level': 1656, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288297080, 'target_is_minimal': False, 'target_label': '1656.2.a.c.1.1', 'target_level': 1656, 'twist_class_label': '184.2.a.d.1.1', 'twist_class_level': 184, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 40123213
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199288297080, 'source_is_minimal': False, 'source_label': '1656.2.a.c.1.1', 'source_level': 1656, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915666104, 'target_is_minimal': True, 'target_label': '184.2.a.d.1.1', 'target_level': 184, 'twist_class_label': '184.2.a.d.1.1', 'twist_class_level': 184, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40123214
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199288297080, 'source_is_minimal': False, 'source_label': '1656.2.a.c.1.1', 'source_level': 1656, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797052521712, 'target_is_minimal': False, 'target_label': '3312.2.a.i.1.1', 'target_level': 3312, 'twist_class_label': '184.2.a.d.1.1', 'twist_class_level': 184, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 40123215
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199288297080, 'source_is_minimal': False, 'source_label': '1656.2.a.c.1.1', 'source_level': 1656, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33554800, 'target_is_minimal': False, 'target_label': '368.2.a.a.1.1', 'target_level': 368, 'twist_class_label': '184.2.a.d.1.1', 'twist_class_level': 184, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 40123216
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199288297080, 'source_is_minimal': False, 'source_label': '1656.2.a.c.1.1', 'source_level': 1656, 'target_conrey_index': 4049, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911465976, 'target_is_minimal': False, 'target_label': '4600.2.e.a.4049.1', 'target_level': 4600, 'twist_class_label': '184.2.a.d.1.1', 'twist_class_level': 184, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40123217
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199288297080, 'source_is_minimal': False, 'source_label': '1656.2.a.c.1.1', 'source_level': 1656, 'target_conrey_index': 4049, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 274911465976, 'target_is_minimal': False, 'target_label': '4600.2.e.a.4049.2', 'target_level': 4600, 'twist_class_label': '184.2.a.d.1.1', 'twist_class_level': 184, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 40123218
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199288297080, 'source_is_minimal': False, 'source_label': '1656.2.a.c.1.1', 'source_level': 1656, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33559032, 'target_is_minimal': False, 'target_label': '4600.2.a.a.1.1', 'target_level': 4600, 'twist_class_label': '184.2.a.d.1.1', 'twist_class_level': 184, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 40123219
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199288297080, 'source_is_minimal': False, 'source_label': '1656.2.a.c.1.1', 'source_level': 1656, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660933944, 'target_is_minimal': False, 'target_label': '9016.2.a.b.1.1', 'target_level': 9016, 'twist_class_label': '184.2.a.d.1.1', 'twist_class_level': 184, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 40123220
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199288297080, 'source_is_minimal': False, 'source_label': '1656.2.a.c.1.1', 'source_level': 1656, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33555904, 'target_is_minimal': False, 'target_label': '1472.2.a.a.1.1', 'target_level': 1472, 'twist_class_label': '184.2.a.d.1.1', 'twist_class_level': 184, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 40123221
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199288297080, 'source_is_minimal': False, 'source_label': '1656.2.a.c.1.1', 'source_level': 1656, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195562001856, 'target_is_minimal': False, 'target_label': '1472.2.a.m.1.1', 'target_level': 1472, 'twist_class_label': '184.2.a.d.1.1', 'twist_class_level': 184, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 40123222
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199288297080, 'source_is_minimal': False, 'source_label': '1656.2.a.c.1.1', 'source_level': 1656, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 157625986991530992, 'target_is_minimal': False, 'target_label': '9200.2.a.bj.1.1', 'target_level': 9200, 'twist_class_label': '184.2.a.d.1.1', 'twist_class_level': 184, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 40123223
{'conductor': 69, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199288297080, 'source_is_minimal': False, 'source_label': '1656.2.a.c.1.1', 'source_level': 1656, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396679893128, 'target_is_minimal': False, 'target_label': '4232.2.a.j.1.1', 'target_level': 4232, 'twist_class_label': '184.2.a.d.1.1', 'twist_class_level': 184, 'twisting_char_label': '69.68', 'twisting_conrey_index': 68, 'weight': 2}
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id: 40123224
{'conductor': 276, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199288297080, 'source_is_minimal': False, 'source_label': '1656.2.a.c.1.1', 'source_level': 1656, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660933392, 'target_is_minimal': False, 'target_label': '8464.2.a.b.1.1', 'target_level': 8464, 'twist_class_label': '184.2.a.d.1.1', 'twist_class_level': 184, 'twisting_char_label': '276.275', 'twisting_conrey_index': 275, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2108325
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288297080, 'p': 2}
-
id: 2108326
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288297080, 'p': 3}
-
id: 2108327
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288297080, 'p': 5}
-
id: 2108328
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 9007199288297080, 'p': 7}
-
id: 2108329
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288297080, 'p': 11}
-
id: 2108330
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 9007199288297080, 'p': 13}
-
id: 2108331
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 9007199288297080, 'p': 17}
-
id: 2108332
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 9007199288297080, 'p': 19}
-
id: 2108333
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 9007199288297080, 'p': 23}
-
id: 2108334
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 9007199288297080, 'p': 29}
-
id: 2108335
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 9007199288297080, 'p': 31}
-
id: 2108336
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 9007199288297080, 'p': 37}
-
id: 2108337
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 9007199288297080, 'p': 41}
-
id: 2108338
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 9007199288297080, 'p': 43}
-
id: 2108339
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 9007199288297080, 'p': 47}
-
id: 2108340
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 9007199288297080, 'p': 53}
-
id: 2108341
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 9007199288297080, 'p': 59}
-
id: 2108342
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 9007199288297080, 'p': 61}
-
id: 2108343
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 9007199288297080, 'p': 67}
-
id: 2108344
{'charpoly_factorization': [[[7, 1], 1]], 'hecke_orbit_code': 9007199288297080, 'p': 71}
-
id: 2108345
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 9007199288297080, 'p': 73}
-
id: 2108346
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 9007199288297080, 'p': 79}
-
id: 2108347
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 9007199288297080, 'p': 83}
-
id: 2108348
{'charpoly_factorization': [[[16, 1], 1]], 'hecke_orbit_code': 9007199288297080, 'p': 89}
-
id: 2108349
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 9007199288297080, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '1656.2.a.c', 'level': 1656, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 102207000
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{'hecke_orbit_code': 9007199288297080, 'n': 997, 'trace_an': -50}
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id: 102207997
{'hecke_orbit_code': 9007199288297080, 'n': 998, 'trace_an': 0}
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id: 102207998
{'hecke_orbit_code': 9007199288297080, 'n': 999, 'trace_an': 0}
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id: 102207999
{'hecke_orbit_code': 9007199288297080, 'n': 1000, 'trace_an': 0}