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{'Nk2': 24640, 'analytic_conductor': 49.18784764510872, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, -1], [7, 1], [11, -1]], 'atkin_lehner_string': '--+-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [6160, 1, [5391, 1541, 3697, 5281, 5601], [1, 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': [[3, [0, 1]], [13, [6, 1]], [17, [2, 1]], [19, [-4, 1]], [23, [-4, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014398543042576, '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': '6160.2.a.e', 'level': 6160, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7, 11], 'level_radical': 770, 'minimal_twist': '770.2.a.d', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{5}-q^{7}-3q^{9}+q^{11}-6q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/6160/e'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6160.2.a', 'trace_display': [0, 0, 1, -1], 'trace_hash': 607621456267116518, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.028', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.995', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.058', 'prec': 17}, 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mf_hecke_cc • Show schema
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'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, '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': 5, 'hecke_orbit_code': 18014398543042576, 'label': '6160.2.a.e.1.1', 'level': 6160, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [5, -1], [7, -1], [11, -1]], 6, 3], [[[2, 1], [5, -1], [7, 1], [11, 1]], 9, 3], [[[2, -1], [5, 1], [7, 1], [11, 1]], 7, 3], [[[2, -1], [5, -1], [7, 1], [11, 1]], 6, 3], [[[2, 1], [5, -1], [7, -1], [11, -1]], 9, 3], [[[2, 1], [5, 1], [7, -1], [11, -1]], 8, 2], [[[2, -1], [5, 1], [7, 1], [11, -1]], 8, 5], [[[2, -1], [5, -1], [7, 1], [11, -1]], 9, 6], [[[2, -1], [5, -1], [7, -1], [11, 1]], 9, 4], [[[2, 1], [5, -1], [7, 1], [11, -1]], 6, 3], [[[2, 1], [5, 1], [7, 1], [11, -1]], 7, 3], [[[2, 1], [5, 1], [7, 1], [11, 1]], 8, 2], [[[2, -1], [5, 1], [7, -1], [11, -1]], 7, 3], [[[2, -1], [5, 1], [7, -1], [11, 1]], 8, 3], [[[2, 1], [5, 1], [7, -1], [11, 1]], 7, 3], [[[2, 1], [5, -1], [7, -1], [11, 1]], 6, 2]], 'ALdims': [8, 7, 7, 8, 9, 6, 6, 9, 7, 8, 8, 7, 6, 9, 9, 6], 'Nk2': 24640, 'analytic_conductor': 49.18784764510872, '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': [6160, 1, [5391, 1541, 3697, 5281, 5601], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1129, 'dim': 120, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 13, 17, 19, 23], 'hecke_orbit_code': 33560592, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5], 'label': '6160.2.a', 'level': 6160, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7, 11], 'level_radical': 770, 'mf_dim': 1176, 'mf_new_dim': 120, 'num_forms': 51, 'plus_dim': 56, 'prim_orbit_index': 1, 'relative_dim': 120, 'sturm_bound': 2304, 'trace_bound': 17, 'trace_display': [0, 0, 0, 0], 'traces': [120, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, -8, 0, 0, 0, -16, 0, 0, 0, -24, 0, 120, 0, -48, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 120, 0, -16, 0, 0, 0, 0, 0, 0, 0, -48, 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mf_twists_cc • Show schema
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id: 43978130
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543042576, 'source_is_minimal': False, 'source_label': '6160.2.a.e.1.1', 'source_level': 6160, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543042576, 'target_is_minimal': False, 'target_label': '6160.2.a.e.1.1', 'target_level': 6160, 'twist_class_label': '770.2.a.d.1.1', 'twist_class_level': 770, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43978131
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543042576, 'source_is_minimal': False, 'source_label': '6160.2.a.e.1.1', 'source_level': 6160, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915666690, 'target_is_minimal': True, 'target_label': '770.2.a.d.1.1', 'target_level': 770, 'twist_class_label': '770.2.a.d.1.1', 'twist_class_level': 770, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43978132
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543042576, 'source_is_minimal': False, 'source_label': '6160.2.a.e.1.1', 'source_level': 6160, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 103582791463082770, 'target_is_minimal': False, 'target_label': '6930.2.a.x.1.1', 'target_level': 6930, 'twist_class_label': '770.2.a.d.1.1', 'twist_class_level': 770, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 43978133
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543042576, 'source_is_minimal': False, 'source_label': '6160.2.a.e.1.1', 'source_level': 6160, 'target_conrey_index': 1849, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043333000957706, 'target_is_minimal': False, 'target_label': '3850.2.c.m.1849.2', 'target_level': 3850, 'twist_class_label': '770.2.a.d.1.1', 'twist_class_level': 770, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43978134
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543042576, 'source_is_minimal': False, 'source_label': '6160.2.a.e.1.1', 'source_level': 6160, 'target_conrey_index': 1849, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043333000957706, 'target_is_minimal': False, 'target_label': '3850.2.c.m.1849.1', 'target_level': 3850, 'twist_class_label': '770.2.a.d.1.1', 'twist_class_level': 770, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 43978135
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543042576, 'source_is_minimal': False, 'source_label': '6160.2.a.e.1.1', 'source_level': 6160, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81064793326227210, 'target_is_minimal': False, 'target_label': '3850.2.a.s.1.1', 'target_level': 3850, 'twist_class_label': '770.2.a.d.1.1', 'twist_class_level': 770, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 43978136
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543042576, 'source_is_minimal': False, 'source_label': '6160.2.a.e.1.1', 'source_level': 6160, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396679894286, 'target_is_minimal': False, 'target_label': '5390.2.a.j.1.1', 'target_level': 5390, 'twist_class_label': '770.2.a.d.1.1', 'twist_class_level': 770, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 43978137
{'conductor': 44, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543042576, 'source_is_minimal': False, 'source_label': '6160.2.a.e.1.1', 'source_level': 6160, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 112589990717825302, 'target_is_minimal': False, 'target_label': '8470.2.a.z.1.1', 'target_level': 8470, 'twist_class_label': '770.2.a.d.1.1', 'twist_class_level': 770, 'twisting_char_label': '44.43', 'twisting_conrey_index': 43, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4106875
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 18014398543042576, 'p': 2}
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id: 4106876
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 18014398543042576, 'p': 3}
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id: 4106877
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 18014398543042576, 'p': 5}
-
id: 4106878
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 18014398543042576, 'p': 7}
-
id: 4106879
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 18014398543042576, 'p': 11}
-
id: 4106880
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 18014398543042576, 'p': 13}
-
id: 4106881
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 18014398543042576, 'p': 17}
-
id: 4106882
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 18014398543042576, 'p': 19}
-
id: 4106883
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 18014398543042576, 'p': 23}
-
id: 4106884
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 18014398543042576, 'p': 29}
-
id: 4106885
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 18014398543042576, 'p': 31}
-
id: 4106886
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 18014398543042576, 'p': 37}
-
id: 4106887
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 18014398543042576, 'p': 41}
-
id: 4106888
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 18014398543042576, 'p': 43}
-
id: 4106889
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 18014398543042576, 'p': 47}
-
id: 4106890
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 18014398543042576, 'p': 53}
-
id: 4106891
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 18014398543042576, 'p': 59}
-
id: 4106892
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 18014398543042576, 'p': 61}
-
id: 4106893
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 18014398543042576, 'p': 67}
-
id: 4106894
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 18014398543042576, 'p': 71}
-
id: 4106895
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 18014398543042576, 'p': 73}
-
id: 4106896
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 18014398543042576, 'p': 79}
-
id: 4106897
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 18014398543042576, 'p': 83}
-
id: 4106898
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 18014398543042576, 'p': 89}
-
id: 4106899
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 18014398543042576, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 5, 'label': '6160.2.a.e', 'level': 6160, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 151221000
{'hecke_orbit_code': 18014398543042576, 'n': 1, 'trace_an': 1}
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id: 151221001
{'hecke_orbit_code': 18014398543042576, 'n': 2, 'trace_an': 0}
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id: 151221002
{'hecke_orbit_code': 18014398543042576, 'n': 3, 'trace_an': 0}
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{'hecke_orbit_code': 18014398543042576, 'n': 989, 'trace_an': 16}
-
id: 151221989
{'hecke_orbit_code': 18014398543042576, 'n': 990, 'trace_an': 0}
-
id: 151221990
{'hecke_orbit_code': 18014398543042576, 'n': 991, 'trace_an': 40}
-
id: 151221991
{'hecke_orbit_code': 18014398543042576, 'n': 992, 'trace_an': 0}
-
id: 151221992
{'hecke_orbit_code': 18014398543042576, 'n': 993, 'trace_an': 0}
-
id: 151221993
{'hecke_orbit_code': 18014398543042576, 'n': 994, 'trace_an': 0}
-
id: 151221994
{'hecke_orbit_code': 18014398543042576, 'n': 995, 'trace_an': 24}
-
id: 151221995
{'hecke_orbit_code': 18014398543042576, 'n': 996, 'trace_an': 0}
-
id: 151221996
{'hecke_orbit_code': 18014398543042576, 'n': 997, 'trace_an': 10}
-
id: 151221997
{'hecke_orbit_code': 18014398543042576, 'n': 998, 'trace_an': 0}
-
id: 151221998
{'hecke_orbit_code': 18014398543042576, 'n': 999, 'trace_an': 0}
-
id: 151221999
{'hecke_orbit_code': 18014398543042576, 'n': 1000, 'trace_an': 0}