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mf_newforms • Show schema
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{'Nk2': 16224, 'analytic_conductor': 32.387323059831324, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [4056, 2, [1015, 2029, 2705, 3889], [2, 2, 2, 1]], 'cm_discs': [], 'conrey_index': 337, 'conrey_indexes': [337], 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [9, 0, 1]], [7, [16, 0, 1]], [11, [16, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503737099882456, 'hecke_ring_generator_nbound': 7, '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, 13, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4056.2.c.b', 'level': 4056, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 13], 'level_radical': 78, 'minimal_twist': '312.2.q.c', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q-q^{3}+3iq^{5}+4iq^{7}+q^{9}-4iq^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4056.2.c', 'trace_display': [0, -2, 0, 0], 'trace_hash': 211563861499737085, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.011', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.042', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.041', 'prec': 17}, {'__RealLiteral__': 0, 'data': '16.757', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.411', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
Hide schema
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mf_newspaces • Show schema
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{'Nk2': 16224, 'analytic_conductor': 32.387323059831324, 'char_conductor': 13, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [4056, 2, [1015, 2029, 2705, 3889], [2, 2, 2, 1]], 'conrey_index': 337, 'cusp_dim': 672, 'dim': 78, 'eis_dim': 112, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11], 'hecke_orbit_code': 137472511960, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 6, 6, 6, 8, 12, 12], 'label': '4056.2.c', 'level': 4056, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 13], 'level_radical': 78, 'mf_dim': 784, 'mf_new_dim': 78, 'num_forms': 18, 'prim_orbit_index': 2, 'relative_dim': 78, 'sturm_bound': 1456, 'trace_bound': 23, 'trace_display': [0, -2, 0, 0], 'traces': [78, 0, -2, 0, 0, 0, 0, 0, 78, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, -74, 0, -2, 0, -24, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 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0, 0, -184, 0, 0, 0, 0, 0, 16, 0, -72, 0, -20, 0, 40, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -872, 0, 0, 0, 0, 0, -272, 0, 360, 0, 44, 0, -276, 0, 0, 0, 0, 0, -120, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 1186854
{'conductor': 13, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '4056.2.c.b', 'source_level': 4056, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '312.2.q.c', 'target_level': 312, 'twist_class_label': '312.2.q.c', 'twist_class_level': 312, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1186855
{'conductor': 52, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '4056.2.c.b', 'source_level': 4056, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '624.2.q.e', 'target_level': 624, 'twist_class_label': '312.2.q.c', 'twist_class_level': 312, 'twisting_char_label': '52.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1186856
{'conductor': 39, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '4056.2.c.b', 'source_level': 4056, 'target_char_orbit': 20, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '936.2.t.b', 'target_level': 936, 'twist_class_label': '312.2.q.c', 'twist_class_level': 312, 'twisting_char_label': '39.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1186857
{'conductor': 156, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '4056.2.c.b', 'source_level': 4056, 'target_char_orbit': 20, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1872.2.t.a', 'target_level': 1872, 'twist_class_label': '312.2.q.c', 'twist_class_level': 312, 'twisting_char_label': '156.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 1186858
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '4056.2.c.b', 'source_level': 4056, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '4056.2.a.b', 'target_level': 4056, 'twist_class_label': '312.2.q.c', 'twist_class_level': 312, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1186859
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '4056.2.c.b', 'source_level': 4056, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '4056.2.a.j', 'target_level': 4056, 'twist_class_label': '312.2.q.c', 'twist_class_level': 312, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1186860
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '4056.2.c.b', 'source_level': 4056, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '4056.2.c.b', 'target_level': 4056, 'twist_class_label': '312.2.q.c', 'twist_class_level': 312, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1186861
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '4056.2.c.b', 'source_level': 4056, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '4056.2.c.b', 'target_level': 4056, 'twist_class_label': '312.2.q.c', 'twist_class_level': 312, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1186862
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '4056.2.c.b', 'source_level': 4056, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '8112.2.a.r', 'target_level': 8112, 'twist_class_label': '312.2.q.c', 'twist_class_level': 312, 'twisting_char_label': '52.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1186863
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '4056.2.c.b', 'source_level': 4056, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 34, 'target_is_minimal': False, 'target_label': '8112.2.a.bh', 'target_level': 8112, 'twist_class_label': '312.2.q.c', 'twist_class_level': 312, 'twisting_char_label': '52.f', 'twisting_char_orbit': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3486050
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503737099882456, 'p': 2}
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id: 3486051
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 4503737099882456, 'p': 3}
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id: 3486052
{'charpoly_factorization': [[[9, 0, 1], 1]], 'hecke_orbit_code': 4503737099882456, 'p': 5}
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id: 3486053
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 4503737099882456, 'p': 7}
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id: 3486054
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 4503737099882456, 'p': 11}
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id: 3486055
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503737099882456, 'p': 13}
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id: 3486056
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 4503737099882456, 'p': 17}
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id: 3486057
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 4503737099882456, 'p': 19}
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id: 3486058
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 4503737099882456, 'p': 23}
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id: 3486059
{'charpoly_factorization': [[[5, 1], 2]], 'hecke_orbit_code': 4503737099882456, 'p': 29}
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id: 3486060
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 4503737099882456, 'p': 31}
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id: 3486061
{'charpoly_factorization': [[[49, 0, 1], 1]], 'hecke_orbit_code': 4503737099882456, 'p': 37}
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id: 3486062
{'charpoly_factorization': [[[81, 0, 1], 1]], 'hecke_orbit_code': 4503737099882456, 'p': 41}
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id: 3486063
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 4503737099882456, 'p': 43}
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id: 3486064
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 4503737099882456, 'p': 47}
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id: 3486065
{'charpoly_factorization': [[[5, 1], 2]], 'hecke_orbit_code': 4503737099882456, 'p': 53}
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id: 3486066
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 4503737099882456, 'p': 59}
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id: 3486067
{'charpoly_factorization': [[[5, 1], 2]], 'hecke_orbit_code': 4503737099882456, 'p': 61}
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id: 3486068
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 4503737099882456, 'p': 67}
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id: 3486069
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 4503737099882456, 'p': 71}
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id: 3486070
{'charpoly_factorization': [[[121, 0, 1], 1]], 'hecke_orbit_code': 4503737099882456, 'p': 73}
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id: 3486071
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 4503737099882456, 'p': 79}
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id: 3486072
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503737099882456, 'p': 83}
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id: 3486073
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 4503737099882456, 'p': 89}
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id: 3486074
{'charpoly_factorization': [[[196, 0, 1], 1]], 'hecke_orbit_code': 4503737099882456, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 3, 'hecke_orbit': 2, 'label': '4056.2.c.b', 'level': 4056, 'portrait': 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'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 81715000
{'hecke_orbit_code': 4503737099882456, 'n': 1, 'trace_an': 2}
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id: 81715001
{'hecke_orbit_code': 4503737099882456, 'n': 2, 'trace_an': 0}
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id: 81715002
{'hecke_orbit_code': 4503737099882456, 'n': 3, 'trace_an': -2}
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id: 81715003
{'hecke_orbit_code': 4503737099882456, 'n': 4, 'trace_an': 0}
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id: 81715004
{'hecke_orbit_code': 4503737099882456, 'n': 5, 'trace_an': 0}
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id: 81715005
{'hecke_orbit_code': 4503737099882456, 'n': 6, 'trace_an': 0}
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id: 81715006
{'hecke_orbit_code': 4503737099882456, 'n': 7, 'trace_an': 0}
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id: 81715007
{'hecke_orbit_code': 4503737099882456, 'n': 8, 'trace_an': 0}
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id: 81715008
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{'hecke_orbit_code': 4503737099882456, 'n': 993, 'trace_an': 0}
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id: 81715993
{'hecke_orbit_code': 4503737099882456, 'n': 994, 'trace_an': 0}
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id: 81715994
{'hecke_orbit_code': 4503737099882456, 'n': 995, 'trace_an': 0}
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id: 81715995
{'hecke_orbit_code': 4503737099882456, 'n': 996, 'trace_an': 0}
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id: 81715996
{'hecke_orbit_code': 4503737099882456, 'n': 997, 'trace_an': 70}
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id: 81715997
{'hecke_orbit_code': 4503737099882456, 'n': 998, 'trace_an': 0}
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id: 81715998
{'hecke_orbit_code': 4503737099882456, 'n': 999, 'trace_an': 0}
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id: 81715999
{'hecke_orbit_code': 4503737099882456, 'n': 1000, 'trace_an': 0}