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{'Nk2': 14560, 'analytic_conductor': 29.06554633574606, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, -1], [7, 1], [13, 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': [3640, 1, [911, 1821, 1457, 521, 561], [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, [1, 1]], [11, [3, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199288299064, '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': True, 'label': '3640.2.a.c', 'level': 3640, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7, 13], 'level_radical': 910, 'minimal_twist': '3640.2.a.c', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+q^{5}-q^{7}-2q^{9}-3q^{11}-q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/3640/c'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3640.2.a', 'trace_display': [0, -1, 1, -1], 'trace_hash': 259582611866963015, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.034', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.051', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.048', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.168', 'prec': 17}, 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'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 0.0, 'embedding_root_real': 0.0, 'hecke_orbit': 3, 'hecke_orbit_code': 9007199288299064, 'label': '3640.2.a.c.1.1', 'level': 3640, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [5, -1], [7, -1], [13, -1]], 3, 2], [[[2, 1], [5, -1], [7, 1], [13, 1]], 5, 3], [[[2, -1], [5, 1], [7, -1], [13, 1]], 5, 1], [[[2, 1], [5, -1], [7, -1], [13, -1]], 7, 1], [[[2, 1], [5, 1], [7, -1], [13, -1]], 4, 1], [[[2, -1], [5, 1], [7, 1], [13, -1]], 4, 2], [[[2, -1], [5, -1], [7, 1], [13, -1]], 6, 2], [[[2, -1], [5, 1], [7, 1], [13, 1]], 4, 1], [[[2, 1], [5, -1], [7, 1], [13, -1]], 4, 1], [[[2, 1], [5, 1], [7, 1], [13, -1]], 4, 1], [[[2, 1], [5, -1], [7, -1], [13, 1]], 3, 2], [[[2, -1], [5, 1], [7, -1], [13, -1]], 4, 1], [[[2, -1], [5, -1], [7, -1], [13, 1]], 5, 1], [[[2, 1], [5, 1], [7, 1], [13, 1]], 6, 3], [[[2, -1], [5, -1], [7, 1], [13, 1]], 3, 2], [[[2, 1], [5, 1], [7, -1], [13, 1]], 5, 3]], 'ALdims': [6, 4, 5, 4, 5, 4, 3, 7, 4, 4, 5, 4, 3, 6, 5, 3], 'Nk2': 14560, 'analytic_conductor': 29.06554633574606, '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': [3640, 1, [911, 1821, 1457, 521, 561], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 657, 'dim': 72, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 11], 'hecke_orbit_code': 33558072, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 7], 'label': '3640.2.a', 'level': 3640, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7, 13], 'level_radical': 910, 'mf_dim': 688, 'mf_new_dim': 72, 'num_forms': 27, 'plus_dim': 32, 'prim_orbit_index': 1, 'relative_dim': 72, 'sturm_bound': 1344, 'trace_bound': 11, 'trace_display': [0, 8, 0, 0], 'traces': [72, 0, 8, 0, 0, 0, 0, 0, 48, 0, 8, 0, 0, 0, 0, 0, -24, 0, 24, 0, 0, 0, 0, 0, 72, 0, 32, 0, 0, 0, 0, 0, -48, 0, 0, 0, 8, 0, 0, 0, -8, 0, 24, 0, 0, 0, 0, 0, 72, 0, 16, 0, 16, 0, 0, 0, -32, 0, 24, 0, 32, 0, 0, 0, 8, 0, 16, 0, 16, 0, -40, 0, -24, 0, 8, 0, 0, 0, 24, 0, -8, 0, -24, 0, 8, 0, 16, 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mf_twists_cc • Show schema
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id: 40162315
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199288299064, 'source_is_minimal': True, 'source_label': '3640.2.a.c.1.1', 'source_level': 3640, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288299064, 'target_is_minimal': True, 'target_label': '3640.2.a.c.1.1', 'target_level': 3640, 'twist_class_label': '3640.2.a.c.1.1', 'twist_class_level': 3640, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 40162316
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007199288299064, 'source_is_minimal': True, 'source_label': '3640.2.a.c.1.1', 'source_level': 3640, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561193698860144, 'target_is_minimal': False, 'target_label': '7280.2.a.r.1.1', 'target_level': 7280, 'twist_class_label': '3640.2.a.c.1.1', 'twist_class_level': 3640, '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: 3286500
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288299064, 'p': 2}
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id: 3286501
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 9007199288299064, 'p': 3}
-
id: 3286502
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 9007199288299064, 'p': 5}
-
id: 3286503
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 9007199288299064, 'p': 7}
-
id: 3286504
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 9007199288299064, 'p': 11}
-
id: 3286505
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 9007199288299064, 'p': 13}
-
id: 3286506
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 9007199288299064, 'p': 17}
-
id: 3286507
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 9007199288299064, 'p': 19}
-
id: 3286508
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 9007199288299064, 'p': 23}
-
id: 3286509
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 9007199288299064, 'p': 29}
-
id: 3286510
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 9007199288299064, 'p': 31}
-
id: 3286511
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 9007199288299064, 'p': 37}
-
id: 3286512
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 9007199288299064, 'p': 41}
-
id: 3286513
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 9007199288299064, 'p': 43}
-
id: 3286514
{'charpoly_factorization': [[[-13, 1], 1]], 'hecke_orbit_code': 9007199288299064, 'p': 47}
-
id: 3286515
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 9007199288299064, 'p': 53}
-
id: 3286516
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288299064, 'p': 59}
-
id: 3286517
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 9007199288299064, 'p': 61}
-
id: 3286518
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 9007199288299064, 'p': 67}
-
id: 3286519
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288299064, 'p': 71}
-
id: 3286520
{'charpoly_factorization': [[[11, 1], 1]], 'hecke_orbit_code': 9007199288299064, 'p': 73}
-
id: 3286521
{'charpoly_factorization': [[[-17, 1], 1]], 'hecke_orbit_code': 9007199288299064, 'p': 79}
-
id: 3286522
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 9007199288299064, 'p': 83}
-
id: 3286523
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 9007199288299064, 'p': 89}
-
id: 3286524
{'charpoly_factorization': [[[13, 1], 1]], 'hecke_orbit_code': 9007199288299064, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '3640.2.a.c', 'level': 3640, 'portrait': 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'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 104005000
{'hecke_orbit_code': 9007199288299064, 'n': 1, 'trace_an': 1}
-
id: 104005001
{'hecke_orbit_code': 9007199288299064, 'n': 2, 'trace_an': 0}
-
id: 104005002
{'hecke_orbit_code': 9007199288299064, 'n': 3, 'trace_an': -1}
-
id: 104005003
{'hecke_orbit_code': 9007199288299064, 'n': 4, 'trace_an': 0}
-
id: 104005004
{'hecke_orbit_code': 9007199288299064, 'n': 5, 'trace_an': 1}
-
id: 104005005
{'hecke_orbit_code': 9007199288299064, 'n': 6, 'trace_an': 0}
-
id: 104005006
{'hecke_orbit_code': 9007199288299064, 'n': 7, 'trace_an': -1}
-
id: 104005007
{'hecke_orbit_code': 9007199288299064, 'n': 8, 'trace_an': 0}
-
id: 104005008
{'hecke_orbit_code': 9007199288299064, 'n': 9, 'trace_an': -2}
-
id: 104005009
{'hecke_orbit_code': 9007199288299064, 'n': 10, 'trace_an': 0}
-
id: 104005010
{'hecke_orbit_code': 9007199288299064, 'n': 11, 'trace_an': -3}
-
id: 104005011
{'hecke_orbit_code': 9007199288299064, 'n': 12, 'trace_an': 0}
-
id: 104005012
{'hecke_orbit_code': 9007199288299064, 'n': 13, 'trace_an': -1}
-
id: 104005013
{'hecke_orbit_code': 9007199288299064, 'n': 14, 'trace_an': 0}
-
id: 104005014
{'hecke_orbit_code': 9007199288299064, 'n': 15, 'trace_an': -1}
-
id: 104005015
{'hecke_orbit_code': 9007199288299064, 'n': 16, 'trace_an': 0}
-
id: 104005016
{'hecke_orbit_code': 9007199288299064, 'n': 17, 'trace_an': -6}
-
id: 104005017
{'hecke_orbit_code': 9007199288299064, 'n': 18, 'trace_an': 0}
-
id: 104005018
{'hecke_orbit_code': 9007199288299064, 'n': 19, 'trace_an': -6}
-
id: 104005019
{'hecke_orbit_code': 9007199288299064, 'n': 20, 'trace_an': 0}
-
id: 104005020
{'hecke_orbit_code': 9007199288299064, 'n': 21, 'trace_an': 1}
-
id: 104005021
{'hecke_orbit_code': 9007199288299064, 'n': 22, 'trace_an': 0}
-
id: 104005022
{'hecke_orbit_code': 9007199288299064, 'n': 23, 'trace_an': 5}
-
id: 104005023
{'hecke_orbit_code': 9007199288299064, 'n': 24, 'trace_an': 0}
-
id: 104005024
{'hecke_orbit_code': 9007199288299064, 'n': 25, 'trace_an': 1}
-
id: 104005025
{'hecke_orbit_code': 9007199288299064, 'n': 26, 'trace_an': 0}
-
id: 104005026
{'hecke_orbit_code': 9007199288299064, 'n': 27, 'trace_an': 5}
-
id: 104005027
{'hecke_orbit_code': 9007199288299064, 'n': 28, 'trace_an': 0}
-
id: 104005028
{'hecke_orbit_code': 9007199288299064, 'n': 29, 'trace_an': -6}
-
id: 104005029
{'hecke_orbit_code': 9007199288299064, 'n': 30, 'trace_an': 0}
-
id: 104005030
{'hecke_orbit_code': 9007199288299064, 'n': 31, 'trace_an': 7}
-
id: 104005031
{'hecke_orbit_code': 9007199288299064, 'n': 32, 'trace_an': 0}
-
id: 104005032
{'hecke_orbit_code': 9007199288299064, 'n': 33, 'trace_an': 3}
-
id: 104005033
{'hecke_orbit_code': 9007199288299064, 'n': 34, 'trace_an': 0}
-
id: 104005034
{'hecke_orbit_code': 9007199288299064, 'n': 35, 'trace_an': -1}
-
id: 104005035
{'hecke_orbit_code': 9007199288299064, 'n': 36, 'trace_an': 0}
-
id: 104005036
{'hecke_orbit_code': 9007199288299064, 'n': 37, 'trace_an': -3}
-
id: 104005037
{'hecke_orbit_code': 9007199288299064, 'n': 38, 'trace_an': 0}
-
id: 104005038
{'hecke_orbit_code': 9007199288299064, 'n': 39, 'trace_an': 1}
-
id: 104005039
{'hecke_orbit_code': 9007199288299064, 'n': 40, 'trace_an': 0}
-
id: 104005040
{'hecke_orbit_code': 9007199288299064, 'n': 41, 'trace_an': 3}
-
id: 104005041
{'hecke_orbit_code': 9007199288299064, 'n': 42, 'trace_an': 0}
-
id: 104005042
{'hecke_orbit_code': 9007199288299064, 'n': 43, 'trace_an': 2}
-
id: 104005043
{'hecke_orbit_code': 9007199288299064, 'n': 44, 'trace_an': 0}
-
id: 104005044
{'hecke_orbit_code': 9007199288299064, 'n': 45, 'trace_an': -2}
-
id: 104005045
{'hecke_orbit_code': 9007199288299064, 'n': 46, 'trace_an': 0}
-
id: 104005046
{'hecke_orbit_code': 9007199288299064, 'n': 47, 'trace_an': 13}
-
id: 104005047
{'hecke_orbit_code': 9007199288299064, 'n': 48, 'trace_an': 0}
-
id: 104005048
{'hecke_orbit_code': 9007199288299064, 'n': 49, 'trace_an': 1}
-
id: 104005049
{'hecke_orbit_code': 9007199288299064, 'n': 50, 'trace_an': 0}
-
id: 104005050
{'hecke_orbit_code': 9007199288299064, 'n': 51, 'trace_an': 6}
-
id: 104005051
{'hecke_orbit_code': 9007199288299064, 'n': 52, 'trace_an': 0}
-
id: 104005052
{'hecke_orbit_code': 9007199288299064, 'n': 53, 'trace_an': 4}
-
id: 104005053
{'hecke_orbit_code': 9007199288299064, 'n': 54, 'trace_an': 0}
-
id: 104005054
{'hecke_orbit_code': 9007199288299064, 'n': 55, 'trace_an': -3}
-
id: 104005055
{'hecke_orbit_code': 9007199288299064, 'n': 56, 'trace_an': 0}
-
id: 104005056
{'hecke_orbit_code': 9007199288299064, 'n': 57, 'trace_an': 6}
-
id: 104005057
{'hecke_orbit_code': 9007199288299064, 'n': 58, 'trace_an': 0}
-
id: 104005058
{'hecke_orbit_code': 9007199288299064, 'n': 59, 'trace_an': 0}
-
id: 104005059
{'hecke_orbit_code': 9007199288299064, 'n': 60, 'trace_an': 0}
-
id: 104005060
{'hecke_orbit_code': 9007199288299064, 'n': 61, 'trace_an': 5}
-
id: 104005061
{'hecke_orbit_code': 9007199288299064, 'n': 62, 'trace_an': 0}
-
id: 104005062
{'hecke_orbit_code': 9007199288299064, 'n': 63, 'trace_an': 2}
-
id: 104005063
{'hecke_orbit_code': 9007199288299064, 'n': 64, 'trace_an': 0}
-
id: 104005064
{'hecke_orbit_code': 9007199288299064, 'n': 65, 'trace_an': -1}
-
id: 104005065
{'hecke_orbit_code': 9007199288299064, 'n': 66, 'trace_an': 0}
-
id: 104005066
{'hecke_orbit_code': 9007199288299064, 'n': 67, 'trace_an': 7}
-
id: 104005067
{'hecke_orbit_code': 9007199288299064, 'n': 68, 'trace_an': 0}
-
id: 104005068
{'hecke_orbit_code': 9007199288299064, 'n': 69, 'trace_an': -5}
-
id: 104005069
{'hecke_orbit_code': 9007199288299064, 'n': 70, 'trace_an': 0}
-
id: 104005070
{'hecke_orbit_code': 9007199288299064, 'n': 71, 'trace_an': 0}
-
id: 104005071
{'hecke_orbit_code': 9007199288299064, 'n': 72, 'trace_an': 0}
-
id: 104005072
{'hecke_orbit_code': 9007199288299064, 'n': 73, 'trace_an': -11}
-
id: 104005073
{'hecke_orbit_code': 9007199288299064, 'n': 74, 'trace_an': 0}
-
id: 104005074
{'hecke_orbit_code': 9007199288299064, 'n': 75, 'trace_an': -1}
-
id: 104005075
{'hecke_orbit_code': 9007199288299064, 'n': 76, 'trace_an': 0}
-
id: 104005076
{'hecke_orbit_code': 9007199288299064, 'n': 77, 'trace_an': 3}
-
id: 104005077
{'hecke_orbit_code': 9007199288299064, 'n': 78, 'trace_an': 0}
-
id: 104005078
{'hecke_orbit_code': 9007199288299064, 'n': 79, 'trace_an': 17}
-
id: 104005079
{'hecke_orbit_code': 9007199288299064, 'n': 80, 'trace_an': 0}
-
id: 104005080
{'hecke_orbit_code': 9007199288299064, 'n': 81, 'trace_an': 1}
-
id: 104005081
{'hecke_orbit_code': 9007199288299064, 'n': 82, 'trace_an': 0}
-
id: 104005082
{'hecke_orbit_code': 9007199288299064, 'n': 83, 'trace_an': 2}
-
id: 104005083
{'hecke_orbit_code': 9007199288299064, 'n': 84, 'trace_an': 0}
-
id: 104005084
{'hecke_orbit_code': 9007199288299064, 'n': 85, 'trace_an': -6}
-
id: 104005085
{'hecke_orbit_code': 9007199288299064, 'n': 86, 'trace_an': 0}
-
id: 104005086
{'hecke_orbit_code': 9007199288299064, 'n': 87, 'trace_an': 6}
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id: 104005087
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