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mf_newforms • Show schema
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{'Nk2': 83, 'analytic_conductor': 0.0414223960485392, 'analytic_rank': 0, 'analytic_rank_proved': True, 'artin_degree': 6, 'artin_field': [-2, 1, -1, 1], 'artin_field_label': '3.1.83.1', 'artin_image': '6.1', 'char_conductor': 83, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': -1, 'char_values': [83, 2, [2], [1]], 'cm_discs': [-83], 'conrey_index': 82, 'conrey_indexes': [82], 'dim': 1, 'embedded_related_objects': [['ArtinRepresentation/2.83.3t2.1c1']], '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, 'has_non_self_twist': 0, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 68736254035, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': 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mf_hecke_cc • Show schema
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'conrey_index': 82, 'dual_conrey_index': 82, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 0.0, 'embedding_root_real': 0.0, 'hecke_orbit': 1, 'hecke_orbit_code': 68736254035, 'label': '83.1.b.a.82.1', 'level': 83, 'weight': 1}
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mf_newspaces • Show schema
Hide schema
{'Nk2': 83, 'a4_dim': 0, 'a5_dim': 0, 'analytic_conductor': 0.0414223960485392, 'char_conductor': 83, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': -1, 'char_values': [83, 2, [2], [1]], 'conrey_index': 82, 'cusp_dim': 1, 'dihedral_dim': 1, 'dim': 1, 'eis_dim': 1, 'eis_new_dim': 1, 'hecke_orbit_code': 68736254035, 'hecke_orbit_dims': [1], 'label': '83.1.b', 'level': 83, 'level_is_prime': True, 'level_is_prime_power': True, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [83], 'level_radical': 83, 'mf_dim': 2, 'mf_new_dim': 2, 'num_forms': 1, 'prim_orbit_index': 2, 'relative_dim': 1, 's4_dim': 0, 'sturm_bound': 7, 'trace_bound': 0, 'trace_display': [0, -1, 0, -1], 'traces': [1, 0, -1, 1, 0, 0, -1, 0, 0, 0, -1, -1, 0, 0, 0, 1, -1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, -1, -1, 0, -1, 0, 1, 0, 0, 0, -1, 0, 0, 0, 2, 0, 0, -1, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0, 1, 0, 0, 0, -1, -2, 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mf_twists_cc • Show schema
Hide schema
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id: 480503
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68736254035, 'source_is_minimal': True, 'source_label': '83.1.b.a.82.1', 'source_level': 83, 'target_conrey_index': 82, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 68736254035, 'target_is_minimal': True, 'target_label': '83.1.b.a.82.1', 'target_level': 83, 'twist_class_label': '83.1.b.a.82.1', 'twist_class_level': 83, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 1}
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id: 480504
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68736254035, 'source_is_minimal': True, 'source_label': '83.1.b.a.82.1', 'source_level': 83, 'target_conrey_index': 82, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 137455731435, 'target_is_minimal': False, 'target_label': '747.1.c.a.82.1', 'target_level': 747, 'twist_class_label': '83.1.b.a.82.1', 'twist_class_level': 83, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 1}
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id: 480505
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68736254035, 'source_is_minimal': True, 'source_label': '83.1.b.a.82.1', 'source_level': 83, 'target_conrey_index': 497, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412333638960, 'target_is_minimal': False, 'target_label': '1328.1.g.a.497.1', 'target_level': 1328, 'twist_class_label': '83.1.b.a.82.1', 'twist_class_level': 83, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 1}
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id: 480506
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68736254035, 'source_is_minimal': True, 'source_label': '83.1.b.a.82.1', 'source_level': 83, 'target_conrey_index': 2074, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007405429950491, 'target_is_minimal': False, 'target_label': '2075.1.d.c.2074.2', 'target_level': 2075, 'twist_class_label': '83.1.b.a.82.1', 'twist_class_level': 83, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 1}
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id: 480507
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68736254035, 'source_is_minimal': True, 'source_label': '83.1.b.a.82.1', 'source_level': 83, 'target_conrey_index': 2074, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007405429950491, 'target_is_minimal': False, 'target_label': '2075.1.d.c.2074.1', 'target_level': 2075, 'twist_class_label': '83.1.b.a.82.1', 'twist_class_level': 83, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 1}
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id: 480508
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68736254035, 'source_is_minimal': True, 'source_label': '83.1.b.a.82.1', 'source_level': 83, 'target_conrey_index': 1576, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518135592585243, 'target_is_minimal': False, 'target_label': '2075.1.c.f.1576.1', 'target_level': 2075, 'twist_class_label': '83.1.b.a.82.1', 'twist_class_level': 83, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 1}
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id: 480509
{'conductor': 83, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68736254035, 'source_is_minimal': True, 'source_label': '83.1.b.a.82.1', 'source_level': 83, 'target_conrey_index': 82, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 68736254035, 'target_is_minimal': True, 'target_label': '83.1.b.a.82.1', 'target_level': 83, 'twist_class_label': '83.1.b.a.82.1', 'twist_class_level': 83, 'twisting_char_label': '83.82', 'twisting_conrey_index': 82, 'weight': 1}
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id: 480510
{'conductor': 249, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68736254035, 'source_is_minimal': True, 'source_label': '83.1.b.a.82.1', 'source_level': 83, 'target_conrey_index': 82, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 137455731435, 'target_is_minimal': False, 'target_label': '747.1.c.a.82.1', 'target_level': 747, 'twist_class_label': '83.1.b.a.82.1', 'twist_class_level': 83, 'twisting_char_label': '249.248', 'twisting_conrey_index': 248, 'weight': 1}
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id: 480511
{'conductor': 332, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68736254035, 'source_is_minimal': True, 'source_label': '83.1.b.a.82.1', 'source_level': 83, 'target_conrey_index': 497, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412333638960, 'target_is_minimal': False, 'target_label': '1328.1.g.a.497.1', 'target_level': 1328, 'twist_class_label': '83.1.b.a.82.1', 'twist_class_level': 83, 'twisting_char_label': '332.331', 'twisting_conrey_index': 331, 'weight': 1}
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id: 480512
{'conductor': 415, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68736254035, 'source_is_minimal': True, 'source_label': '83.1.b.a.82.1', 'source_level': 83, 'target_conrey_index': 2074, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007405429950491, 'target_is_minimal': False, 'target_label': '2075.1.d.c.2074.2', 'target_level': 2075, 'twist_class_label': '83.1.b.a.82.1', 'twist_class_level': 83, 'twisting_char_label': '415.82', 'twisting_conrey_index': 82, 'weight': 1}
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id: 480513
{'conductor': 415, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 82, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68736254035, 'source_is_minimal': True, 'source_label': '83.1.b.a.82.1', 'source_level': 83, 'target_conrey_index': 2074, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007405429950491, 'target_is_minimal': False, 'target_label': '2075.1.d.c.2074.1', 'target_level': 2075, 'twist_class_label': '83.1.b.a.82.1', 'twist_class_level': 83, 'twisting_char_label': '415.248', 'twisting_conrey_index': 248, 'weight': 1}
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id: 480514
{'conductor': 415, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 82, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 68736254035, 'source_is_minimal': True, 'source_label': '83.1.b.a.82.1', 'source_level': 83, 'target_conrey_index': 1576, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518135592585243, 'target_is_minimal': False, 'target_label': '2075.1.c.f.1576.1', 'target_level': 2075, 'twist_class_label': '83.1.b.a.82.1', 'twist_class_level': 83, 'twisting_char_label': '415.414', 'twisting_conrey_index': 414, 'weight': 1}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 259325
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 68736254035, 'p': 2}
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id: 259326
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 68736254035, 'p': 3}
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id: 259327
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 68736254035, 'p': 5}
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id: 259328
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 68736254035, 'p': 7}
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id: 259329
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 68736254035, 'p': 11}
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id: 259330
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 68736254035, 'p': 13}
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id: 259331
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 68736254035, 'p': 17}
-
id: 259332
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 68736254035, 'p': 19}
-
id: 259333
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 68736254035, 'p': 23}
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id: 259334
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 68736254035, 'p': 29}
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id: 259335
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 68736254035, 'p': 31}
-
id: 259336
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 68736254035, 'p': 37}
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id: 259337
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 68736254035, 'p': 41}
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id: 259338
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 68736254035, 'p': 43}
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id: 259339
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 68736254035, 'p': 47}
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id: 259340
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 68736254035, 'p': 53}
-
id: 259341
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 68736254035, 'p': 59}
-
id: 259342
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 68736254035, 'p': 61}
-
id: 259343
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 68736254035, 'p': 67}
-
id: 259344
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 68736254035, 'p': 71}
-
id: 259345
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 68736254035, 'p': 73}
-
id: 259346
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 68736254035, 'p': 79}
-
id: 259347
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 68736254035, 'p': 83}
-
id: 259348
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 68736254035, 'p': 89}
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id: 259349
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 68736254035, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 1, 'label': '83.1.b.a', 'level': 83, 'portrait': 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', 'weight': 1}
-
mf_hecke_traces • Show schema
Hide schema
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id: 16575000
{'hecke_orbit_code': 68736254035, 'n': 1, 'trace_an': 1}
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id: 16575001
{'hecke_orbit_code': 68736254035, 'n': 2, 'trace_an': 0}
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id: 16575002
{'hecke_orbit_code': 68736254035, 'n': 3, 'trace_an': -1}
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id: 16575003
{'hecke_orbit_code': 68736254035, 'n': 4, 'trace_an': 1}
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id: 16575004
{'hecke_orbit_code': 68736254035, 'n': 5, 'trace_an': 0}
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id: 16575005
{'hecke_orbit_code': 68736254035, 'n': 6, 'trace_an': 0}
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id: 16575006
{'hecke_orbit_code': 68736254035, 'n': 7, 'trace_an': -1}
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id: 16575007
{'hecke_orbit_code': 68736254035, 'n': 8, 'trace_an': 0}
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id: 16575008
{'hecke_orbit_code': 68736254035, 'n': 9, 'trace_an': 0}
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id: 16575009
{'hecke_orbit_code': 68736254035, 'n': 10, 'trace_an': 0}
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id: 16575010
{'hecke_orbit_code': 68736254035, 'n': 11, 'trace_an': -1}
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id: 16575011
{'hecke_orbit_code': 68736254035, 'n': 12, 'trace_an': -1}
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id: 16575012
{'hecke_orbit_code': 68736254035, 'n': 13, 'trace_an': 0}
-
id: 16575013
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