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mf_newforms • Show schema
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{'Nk2': 13680, 'analytic_conductor': 27.30883749127789, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, -1], [19, -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': [3420, 1, [1711, 1901, 2737, 3061], [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': [[7, [2, 1]], [11, [4, 1]], [13, [0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503599660928348, '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': '3420.2.a.b', 'level': 3420, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'minimal_twist': '1140.2.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{5}-2q^{7}-4q^{11}+2q^{17}+q^{19}+\\cdots', 'related_objects': ['EllipticCurve/Q/3420/b'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3420.2.a', 'trace_display': [0, 0, 1, -2], 'trace_hash': 1183803685820637751, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.990', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.003', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.953', 'prec': 17}, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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0, 0, -88, 0, -32, 0, 0, 0, 520, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
Hide schema
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id: 33908378
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599660928348, 'source_is_minimal': False, 'source_label': '3420.2.a.b.1.1', 'source_level': 3420, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660928348, 'target_is_minimal': False, 'target_label': '3420.2.a.b.1.1', 'target_level': 3420, 'twist_class_label': '1140.2.a.a.1.1', 'twist_class_level': 1140, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 33908379
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599660928348, 'source_is_minimal': False, 'source_label': '3420.2.a.b.1.1', 'source_level': 3420, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33555572, 'target_is_minimal': True, 'target_label': '1140.2.a.a.1.1', 'target_level': 1140, 'twist_class_label': '1140.2.a.a.1.1', 'twist_class_level': 1140, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 33908380
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599660928348, 'source_is_minimal': False, 'source_label': '3420.2.a.b.1.1', 'source_level': 3420, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90071992580968912, 'target_is_minimal': False, 'target_label': '4560.2.a.u.1.1', 'target_level': 4560, 'twist_class_label': '1140.2.a.a.1.1', 'twist_class_level': 1140, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 33908381
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599660928348, 'source_is_minimal': False, 'source_label': '3420.2.a.b.1.1', 'source_level': 3420, 'target_conrey_index': 3649, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539939532019268, 'target_is_minimal': False, 'target_label': '5700.2.f.l.3649.2', 'target_level': 5700, 'twist_class_label': '1140.2.a.a.1.1', 'twist_class_level': 1140, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 33908382
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599660928348, 'source_is_minimal': False, 'source_label': '3420.2.a.b.1.1', 'source_level': 3420, 'target_conrey_index': 3649, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539939532019268, 'target_is_minimal': False, 'target_label': '5700.2.f.l.3649.1', 'target_level': 5700, 'twist_class_label': '1140.2.a.a.1.1', 'twist_class_level': 1140, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 33908383
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503599660928348, 'source_is_minimal': False, 'source_label': '3420.2.a.b.1.1', 'source_level': 3420, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561193698858564, 'target_is_minimal': False, 'target_label': '5700.2.a.r.1.1', 'target_level': 5700, 'twist_class_label': '1140.2.a.a.1.1', 'twist_class_level': 1140, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3170025
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660928348, 'p': 2}
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id: 3170026
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660928348, 'p': 3}
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id: 3170027
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 4503599660928348, 'p': 5}
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id: 3170028
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 4503599660928348, 'p': 7}
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id: 3170029
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660928348, 'p': 11}
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id: 3170030
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660928348, 'p': 13}
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id: 3170031
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 4503599660928348, 'p': 17}
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id: 3170032
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 4503599660928348, 'p': 19}
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id: 3170033
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 4503599660928348, 'p': 23}
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id: 3170034
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 4503599660928348, 'p': 29}
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id: 3170035
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 4503599660928348, 'p': 31}
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id: 3170036
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 4503599660928348, 'p': 37}
-
id: 3170037
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 4503599660928348, 'p': 41}
-
id: 3170038
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 4503599660928348, 'p': 43}
-
id: 3170039
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 4503599660928348, 'p': 47}
-
id: 3170040
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 4503599660928348, 'p': 53}
-
id: 3170041
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660928348, 'p': 59}
-
id: 3170042
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 4503599660928348, 'p': 61}
-
id: 3170043
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 4503599660928348, 'p': 67}
-
id: 3170044
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 4503599660928348, 'p': 71}
-
id: 3170045
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 4503599660928348, 'p': 73}
-
id: 3170046
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 4503599660928348, 'p': 79}
-
id: 3170047
{'charpoly_factorization': [[[14, 1], 1]], 'hecke_orbit_code': 4503599660928348, 'p': 83}
-
id: 3170048
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 4503599660928348, 'p': 89}
-
id: 3170049
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 4503599660928348, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 2, 'label': '3420.2.a.b', 'level': 3420, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 65504000
{'hecke_orbit_code': 4503599660928348, 'n': 1, 'trace_an': 1}
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id: 65504001
{'hecke_orbit_code': 4503599660928348, 'n': 2, 'trace_an': 0}
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id: 65504002
{'hecke_orbit_code': 4503599660928348, 'n': 3, 'trace_an': 0}
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id: 65504003
{'hecke_orbit_code': 4503599660928348, 'n': 4, 'trace_an': 0}
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id: 65504004
{'hecke_orbit_code': 4503599660928348, 'n': 5, 'trace_an': 1}
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id: 65504005
{'hecke_orbit_code': 4503599660928348, 'n': 6, 'trace_an': 0}
-
id: 65504006
{'hecke_orbit_code': 4503599660928348, 'n': 7, 'trace_an': -2}
-
id: 65504007
{'hecke_orbit_code': 4503599660928348, 'n': 8, 'trace_an': 0}
-
id: 65504008
{'hecke_orbit_code': 4503599660928348, 'n': 9, 'trace_an': 0}
-
id: 65504009
{'hecke_orbit_code': 4503599660928348, 'n': 10, 'trace_an': 0}
-
id: 65504010
{'hecke_orbit_code': 4503599660928348, 'n': 11, 'trace_an': -4}
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id: 65504011
{'hecke_orbit_code': 4503599660928348, 'n': 12, 'trace_an': 0}
-
id: 65504012
{'hecke_orbit_code': 4503599660928348, 'n': 13, 'trace_an': 0}
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id: 65504013
{'hecke_orbit_code': 4503599660928348, 'n': 14, 'trace_an': 0}
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id: 65504014
{'hecke_orbit_code': 4503599660928348, 'n': 15, 'trace_an': 0}
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id: 65504015
{'hecke_orbit_code': 4503599660928348, 'n': 16, 'trace_an': 0}
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id: 65504016
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