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{'Nk2': 7728, 'analytic_conductor': 15.42709767051137, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [7, -1], [23, 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': [1932, 1, [967, 1289, 829, 925], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 13, 'field_disc_factorization': [[13, 1]], 'field_poly': [-3, -1, 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': [[5, [-3, -1, 1]], [11, [-13, 0, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014398543038348, 'hecke_ring_generator_nbound': 5, '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': True, 'label': '1932.2.a.e', 'level': 1932, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 23], 'level_radical': 966, 'minimal_twist': '1932.2.a.e', 'nf_label': '2.2.13.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+\\beta q^{5}+q^{7}+q^{9}+(1-2\\beta )q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1932.2.a', 'trace_display': [0, -2, 1, 2], 'trace_hash': 1419437306171865238, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.973', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.627', 'prec': 17}, 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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [23, -1]], 2, 1], [[[2, -1], [3, -1], [7, -1], [23, 1]], 3, 2], [[[2, -1], [3, 1], [7, -1], [23, -1]], 3, 1], [[[2, -1], [3, -1], [7, 1], [23, -1]], 3, 1], [[[2, -1], [3, 1], [7, -1], [23, 1]], 2, 1], [[[2, -1], [3, 1], [7, 1], [23, -1]], 2, 1], [[[2, -1], [3, -1], [7, 1], [23, 1]], 2, 1], [[[2, -1], [3, 1], [7, 1], [23, 1]], 3, 2]], 'ALdims': [0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 2, 3, 2, 3, 3, 2], 'Nk2': 7728, 'analytic_conductor': 15.42709767051137, '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': [1932, 1, [967, 1289, 829, 925], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 373, 'dim': 20, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11], 'hecke_orbit_code': 33556364, 'hecke_orbit_dims': [1, 1, 2, 2, 2, 2, 2, 2, 3, 3], 'label': '1932.2.a', 'level': 1932, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 23], 'level_radical': 966, 'mf_dim': 396, 'mf_new_dim': 20, 'num_forms': 10, 'plus_dim': 8, 'prim_orbit_index': 1, 'relative_dim': 20, 'sturm_bound': 768, 'trace_bound': 7, 'trace_display': [0, 0, -8, 0], 'traces': [20, 0, 0, 0, -8, 0, 0, 0, 20, 0, 0, 0, -8, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, -24, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, -16, 0, 16, 0, -8, 0, -8, 0, 20, 0, 8, 0, 24, 0, 24, 0, 16, 0, 8, 0, 8, 0, 0, 0, 24, 0, 16, 0, 0, 0, -8, 0, 24, 0, 16, 0, 16, 0, -32, 0, 20, 0, 40, 0, 24, 0, -8, 0, -32, 0, 0, 0, -8, 0, 32, 0, 0, 0, 0, 0, -40, 0, 32, 0, -8, 0, 24, 0, -24, 0, 16, 0, 48, 0, 0, 0, -8, 0, -8, 0, -8, 0, -4, 0, -24, 0, 4, 0, -16, 0, 48, 0, -4, 0, 0, 0, 0, 0, 32, 0, -4, 0, 32, 0, 8, 0, 0, 0, -40, 0, -20, 0, -8, 0, 32, 0, -48, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, -44, 0, 0, 0, 8, 0, 16, 0, -20, 0, 16, 0, 0, 0, 0, 0, -64, 0, 32, 0, 0, 0, 24, 0, 20, 0, -8, 0, 72, 0, 24, 0, -16, 0, -16, 0, -32, 0, 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mf_twists_cc • Show schema
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id: 43898187
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543038348, 'source_is_minimal': True, 'source_label': '1932.2.a.e.1.1', 'source_level': 1932, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543038348, 'target_is_minimal': True, 'target_label': '1932.2.a.e.1.1', 'target_level': 1932, 'twist_class_label': '1932.2.a.e.1.1', 'twist_class_level': 1932, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43898188
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543038348, 'source_is_minimal': True, 'source_label': '1932.2.a.e.1.1', 'source_level': 1932, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45035996307265188, 'target_is_minimal': False, 'target_label': '5796.2.a.k.1.2', 'target_level': 5796, 'twist_class_label': '1932.2.a.e.1.1', 'twist_class_level': 1932, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43898189
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 18014398543038348, 'source_is_minimal': True, 'source_label': '1932.2.a.e.1.1', 'source_level': 1932, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 162129586618900016, 'target_is_minimal': False, 'target_label': '7728.2.a.bk.1.1', 'target_level': 7728, 'twist_class_label': '1932.2.a.e.1.1', 'twist_class_level': 1932, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2312525
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 18014398543038348, 'p': 2}
-
id: 2312526
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 18014398543038348, 'p': 3}
-
id: 2312527
{'charpoly_factorization': [[[-3, -1, 1], 1]], 'hecke_orbit_code': 18014398543038348, 'p': 5}
-
id: 2312528
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 18014398543038348, 'p': 7}
-
id: 2312529
{'charpoly_factorization': [[[-13, 0, 1], 1]], 'hecke_orbit_code': 18014398543038348, 'p': 11}
-
id: 2312530
{'charpoly_factorization': [[[3, 5, 1], 1]], 'hecke_orbit_code': 18014398543038348, 'p': 13}
-
id: 2312531
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 18014398543038348, 'p': 17}
-
id: 2312532
{'charpoly_factorization': [[[3, 8, 1], 1]], 'hecke_orbit_code': 18014398543038348, 'p': 19}
-
id: 2312533
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 18014398543038348, 'p': 23}
-
id: 2312534
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 18014398543038348, 'p': 29}
-
id: 2312535
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 18014398543038348, 'p': 31}
-
id: 2312536
{'charpoly_factorization': [[[-51, 2, 1], 1]], 'hecke_orbit_code': 18014398543038348, 'p': 37}
-
id: 2312537
{'charpoly_factorization': [[[-9, 4, 1], 1]], 'hecke_orbit_code': 18014398543038348, 'p': 41}
-
id: 2312538
{'charpoly_factorization': [[[-23, 5, 1], 1]], 'hecke_orbit_code': 18014398543038348, 'p': 43}
-
id: 2312539
{'charpoly_factorization': [[[36, 14, 1], 1]], 'hecke_orbit_code': 18014398543038348, 'p': 47}
-
id: 2312540
{'charpoly_factorization': [[[27, -15, 1], 1]], 'hecke_orbit_code': 18014398543038348, 'p': 53}
-
id: 2312541
{'charpoly_factorization': [[[1, -11, 1], 1]], 'hecke_orbit_code': 18014398543038348, 'p': 59}
-
id: 2312542
{'charpoly_factorization': [[[-81, 1, 1], 1]], 'hecke_orbit_code': 18014398543038348, 'p': 61}
-
id: 2312543
{'charpoly_factorization': [[[-153, 5, 1], 1]], 'hecke_orbit_code': 18014398543038348, 'p': 67}
-
id: 2312544
{'charpoly_factorization': [[[13, 13, 1], 1]], 'hecke_orbit_code': 18014398543038348, 'p': 71}
-
id: 2312545
{'charpoly_factorization': [[[-117, 0, 1], 1]], 'hecke_orbit_code': 18014398543038348, 'p': 73}
-
id: 2312546
{'charpoly_factorization': [[[87, 20, 1], 1]], 'hecke_orbit_code': 18014398543038348, 'p': 79}
-
id: 2312547
{'charpoly_factorization': [[[3, 8, 1], 1]], 'hecke_orbit_code': 18014398543038348, 'p': 83}
-
id: 2312548
{'charpoly_factorization': [[[-1, -3, 1], 1]], 'hecke_orbit_code': 18014398543038348, 'p': 89}
-
id: 2312549
{'charpoly_factorization': [[[11, 1], 2]], 'hecke_orbit_code': 18014398543038348, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 5, 'label': '1932.2.a.e', 'level': 1932, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 148027000
{'hecke_orbit_code': 18014398543038348, 'n': 1, 'trace_an': 2}
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id: 148027001
{'hecke_orbit_code': 18014398543038348, 'n': 2, 'trace_an': 0}
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id: 148027002
{'hecke_orbit_code': 18014398543038348, 'n': 3, 'trace_an': -2}
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id: 148027003
{'hecke_orbit_code': 18014398543038348, 'n': 4, 'trace_an': 0}
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id: 148027004
{'hecke_orbit_code': 18014398543038348, 'n': 5, 'trace_an': 1}
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id: 148027005
{'hecke_orbit_code': 18014398543038348, 'n': 6, 'trace_an': 0}
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id: 148027006
{'hecke_orbit_code': 18014398543038348, 'n': 7, 'trace_an': 2}
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id: 148027007
{'hecke_orbit_code': 18014398543038348, 'n': 8, 'trace_an': 0}
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id: 148027008
{'hecke_orbit_code': 18014398543038348, 'n': 9, 'trace_an': 2}
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id: 148027009
{'hecke_orbit_code': 18014398543038348, 'n': 10, 'trace_an': 0}
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id: 148027010
{'hecke_orbit_code': 18014398543038348, 'n': 11, 'trace_an': 0}
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id: 148027011
{'hecke_orbit_code': 18014398543038348, 'n': 12, 'trace_an': 0}
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id: 148027012
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{'hecke_orbit_code': 18014398543038348, 'n': 994, 'trace_an': 0}
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id: 148027994
{'hecke_orbit_code': 18014398543038348, 'n': 995, 'trace_an': 15}
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id: 148027995
{'hecke_orbit_code': 18014398543038348, 'n': 996, 'trace_an': 0}
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id: 148027996
{'hecke_orbit_code': 18014398543038348, 'n': 997, 'trace_an': 54}
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id: 148027997
{'hecke_orbit_code': 18014398543038348, 'n': 998, 'trace_an': 0}
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id: 148027998
{'hecke_orbit_code': 18014398543038348, 'n': 999, 'trace_an': 2}
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id: 148027999
{'hecke_orbit_code': 18014398543038348, 'n': 1000, 'trace_an': 0}