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mf_newforms • Show schema
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{'Nk2': 1932, 'analytic_conductor': 3.8567744176278427, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [483, 3, [323, 346, 442], [3, 2, 3]], 'cm_discs': [], 'conrey_index': 277, '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, [1, -1, 1]], [5, [9, -3, 1]], [11, [4, -2, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511348671480291, 'hecke_ring_generator_nbound': 2, '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': True, 'label': '483.2.i.d', 'level': 483, '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': True, 'level_primes': [3, 7, 23], 'level_radical': 483, 'minimal_twist': '483.2.i.d', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+\\zeta_{6}q^{2}+(-1+\\zeta_{6})q^{3}+(1-\\zeta_{6})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '483.2.i', 'trace_display': [1, -1, 3, -1], 'trace_hash': 686924801578726271, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.020', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.925', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.376', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.121', 'prec': 20}, {'__RealLiteral__': 0, 'data': '3.867', 'prec': 17}, {'__RealLiteral__': 0, 'data': '99.256', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.017', 'prec': 17}, 'traces': [2, 1, -1, 1, 3, -2, -1, 6, -1, -3, 2, 1, -2, -5, -6, 1, -1, 1, 0, 6, -4, 4, -1, -3, -4, -1, 2, 4, 0, -3, -10, 5, 2, -2, -15, -2, 2, 0, 1, 9, 8, 1, 8, -2, 3, 1, -7, -2, -13, -8, -1, -1, 9, 1, 12, -3, 0, 0, 4, -3, 2, -20, 5, 14, -3, -2, 3, 1, 2, -12, -30, -3, 13, -2, -4, 0, 8, 2, -4, -3, -1, 4, 12, -5, -6, 4, 0, 6, 6, 6, 1, -2, -10, 7, 0, 5, 32, -2, -4, 4, 18, 1, -11, -6, 3, 18, -4, 1, -8, 6, -4, -5, 14, 0, 3, 0, 1, 8, -4, -18, 7, -2, -4, 10, 6, 4, 4, -3, -4, 3, 3, 4, 0, 6, 3, -3, 17, 1, -20, -3, 14, -15, -2, 1, 0, 26, 11, 4, -5, 4, -4, 0, 2, -2, -60, -1, -10, 4, 9, 30, 5, -2, 20, 4, -6, 6, -38, -12, -24, -3, 0, 4, 16, 0, -16, 4, 4, -6, 11, -3, -52, 5, -4, -3, -6, 10, 2, -14, -1, 0, 0, -7, 11, 16, 6, -11, -36, -2, -16, -12, 3, 36, 0, -2, 12, 11, -1, -1, 0, 15, -44, -9, 15, 4, 12, 6, -40, -16, 13, 6, 1, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 1932, 'analytic_conductor': 3.8567744176278427, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [483, 3, [323, 346, 442], [3, 2, 3]], 'conrey_index': 277, 'cusp_dim': 120, 'dim': 60, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5, 11], 'hecke_orbit_code': 549789368803, 'hecke_orbit_dims': [2, 2, 2, 2, 4, 12, 16, 20], 'label': '483.2.i', 'level': 483, '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': True, 'level_primes': [3, 7, 23], 'level_radical': 483, 'mf_dim': 136, 'mf_new_dim': 60, 'num_forms': 8, 'prim_orbit_index': 3, 'relative_dim': 30, 'sturm_bound': 128, 'trace_bound': 7, 'trace_display': [0, 2, 0, 6], 'traces': [60, 0, 2, -32, 0, -8, 6, 24, -30, -16, 0, 4, -4, -12, 8, -52, -8, 0, -6, -16, -8, 48, 0, 0, -46, 32, -4, 28, 24, 0, 22, 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mf_twists_cc • Show schema
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id: 43360252
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 277, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511348671480291, 'source_is_minimal': True, 'source_label': '483.2.i.d.277.1', 'source_level': 483, 'target_conrey_index': 277, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511348671480291, 'target_is_minimal': True, 'target_label': '483.2.i.d.277.1', 'target_level': 483, 'twist_class_label': '483.2.i.d.277.1', 'twist_class_level': 483, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43360253
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 277, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511348671480291, 'source_is_minimal': True, 'source_label': '483.2.i.d.277.1', 'source_level': 483, 'target_conrey_index': 415, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511348671480291, 'target_is_minimal': True, 'target_label': '483.2.i.d.415.1', 'target_level': 483, 'twist_class_label': '483.2.i.d.277.1', 'twist_class_level': 483, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43360254
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 277, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511348671480291, 'source_is_minimal': True, 'source_label': '483.2.i.d.277.1', 'source_level': 483, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660928309, 'target_is_minimal': False, 'target_label': '3381.2.a.b.1.1', 'target_level': 3381, 'twist_class_label': '483.2.i.d.277.1', 'twist_class_level': 483, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43360255
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 277, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511348671480291, 'source_is_minimal': True, 'source_label': '483.2.i.d.277.1', 'source_level': 483, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288298805, 'target_is_minimal': False, 'target_label': '3381.2.a.c.1.1', 'target_level': 3381, 'twist_class_label': '483.2.i.d.277.1', 'twist_class_level': 483, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 950450
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 13511348671480291, 'p': 2}
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id: 950451
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 13511348671480291, 'p': 3}
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id: 950452
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 13511348671480291, 'p': 5}
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id: 950453
{'charpoly_factorization': [[[7, 1, 1], 1]], 'hecke_orbit_code': 13511348671480291, 'p': 7}
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id: 950454
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 13511348671480291, 'p': 11}
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id: 950455
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 13511348671480291, 'p': 13}
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id: 950456
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 13511348671480291, 'p': 17}
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id: 950457
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511348671480291, 'p': 19}
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id: 950458
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 13511348671480291, 'p': 23}
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id: 950459
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511348671480291, 'p': 29}
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id: 950460
{'charpoly_factorization': [[[100, 10, 1], 1]], 'hecke_orbit_code': 13511348671480291, 'p': 31}
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id: 950461
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 13511348671480291, 'p': 37}
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id: 950462
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 13511348671480291, 'p': 41}
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id: 950463
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 13511348671480291, 'p': 43}
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id: 950464
{'charpoly_factorization': [[[49, 7, 1], 1]], 'hecke_orbit_code': 13511348671480291, 'p': 47}
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id: 950465
{'charpoly_factorization': [[[81, -9, 1], 1]], 'hecke_orbit_code': 13511348671480291, 'p': 53}
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id: 950466
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 13511348671480291, 'p': 59}
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id: 950467
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 13511348671480291, 'p': 61}
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id: 950468
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 13511348671480291, 'p': 67}
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id: 950469
{'charpoly_factorization': [[[15, 1], 2]], 'hecke_orbit_code': 13511348671480291, 'p': 71}
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id: 950470
{'charpoly_factorization': [[[169, -13, 1], 1]], 'hecke_orbit_code': 13511348671480291, 'p': 73}
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id: 950471
{'charpoly_factorization': [[[16, 4, 1], 1]], 'hecke_orbit_code': 13511348671480291, 'p': 79}
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id: 950472
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 13511348671480291, 'p': 83}
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id: 950473
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 13511348671480291, 'p': 89}
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id: 950474
{'charpoly_factorization': [[[-16, 1], 2]], 'hecke_orbit_code': 13511348671480291, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 9, 'hecke_orbit': 4, 'label': '483.2.i.d', 'level': 483, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 36961057
{'hecke_orbit_code': 13511348671480291, 'n': 1, 'trace_an': 2}
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id: 36961058
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