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{'Nk2': 16008, 'analytic_conductor': 31.95613088891641, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [23, -1], [29, 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': [4002, 1, [2669, 3133, 553], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 23252, 'field_disc_factorization': [[2, 2], [5813, 1]], 'field_poly': [2, 0, -6, -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, [14, -9, -7, 3, 1]], [7, [64, -4, -20, 2, 1]], [11, [2, 45, 39, 11, 1]]], 'hecke_orbit': 28, 'hecke_orbit_code': 121597189972561826, '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_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '4002.2.a.bb', 'level': 4002, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 23, 29], 'level_radical': 4002, 'minimal_twist': '4002.2.a.bb', 'nf_label': '4.4.23252.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{3}+q^{4}+(-1+\\beta _{3})q^{5}-q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4002.2.a', 'trace_display': [-4, 4, -3, -2], 'trace_hash': 2099511831913792508, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.751', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '38.776', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '626.640', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.004', 'prec': 17}, 'traces': [4, -4, 4, 4, -3, -4, -2, -4, 4, 3, -11, 4, -1, 2, -3, 4, 2, -4, 8, -3, -2, 11, 4, -4, 3, 1, 4, -2, -4, 3, -17, -4, -11, -2, -24, 4, 15, -8, -1, 3, 1, 2, 4, -11, -3, -4, 6, 4, 16, -3, 2, -1, 2, -4, 13, 2, 8, 4, -13, -3, -13, 17, -2, 4, -13, 11, -13, 2, 4, 24, -15, -4, -22, -15, 3, 8, -12, 1, -26, -3, 4, -1, -22, -2, 24, -4, -4, 11, -24, 3, 30, 4, -17, -6, -4, -4, -8, -16, -11, 3, -9, -2, -17, 1, -24, -2, -18, 4, -12, -13, 15, -2, 2, -8, -3, -4, -1, 13, -44, 3, -1, 13, 1, -17, -33, 2, -33, -4, 4, 13, -28, -11, -20, 13, -3, -2, 22, -4, 2, -24, 6, 15, -13, 4, 3, 22, 16, 15, -27, -3, -28, -8, 2, 12, 17, -1, 24, 26, 2, 3, -2, -4, -9, 1, 13, 22, 11, 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'dual_embedding_m': 3, 'embedding_index': 3, 'embedding_m': 3, 'embedding_root_imag': 0.0, 'embedding_root_real': 2.9537237163495544, 'hecke_orbit': 28, 'hecke_orbit_code': 121597189972561826, 'label': '4002.2.a.bb.1.3', 'level': 4002, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [6, 5, 8, 7, 4, 8, 6, 6, 8, 5, 4, 9, 5, 9, 9, 2], 'Nk2': 16008, 'analytic_conductor': 31.95613088891641, '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': [4002, 1, [2669, 3133, 553], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 713, 'dim': 101, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11], 'hecke_orbit_code': 33558434, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 4, 5, 6, 7, 7, 8, 8, 8], 'label': '4002.2.a', 'level': 4002, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 23, 29], 'level_radical': 4002, 'mf_dim': 728, 'mf_new_dim': 101, 'num_forms': 37, 'plus_dim': 43, 'prim_orbit_index': 1, 'relative_dim': 101, 'sturm_bound': 1440, 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mf_twists_cc • Show schema
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{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 121597189972561826, 'source_is_minimal': True, 'source_label': '4002.2.a.bb.1.3', 'source_level': 4002, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 121597189972561826, 'target_is_minimal': True, 'target_label': '4002.2.a.bb.1.3', 'target_level': 4002, 'twist_class_label': '4002.2.a.bb.1.3', 'twist_class_level': 4002, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3468325
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 121597189972561826, 'p': 2}
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id: 3468326
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 121597189972561826, 'p': 3}
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id: 3468327
{'charpoly_factorization': [[[14, -9, -7, 3, 1], 1]], 'hecke_orbit_code': 121597189972561826, 'p': 5}
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id: 3468328
{'charpoly_factorization': [[[64, -4, -20, 2, 1], 1]], 'hecke_orbit_code': 121597189972561826, 'p': 7}
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id: 3468329
{'charpoly_factorization': [[[2, 45, 39, 11, 1], 1]], 'hecke_orbit_code': 121597189972561826, 'p': 11}
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id: 3468330
{'charpoly_factorization': [[[22, 27, -23, 1, 1], 1]], 'hecke_orbit_code': 121597189972561826, 'p': 13}
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id: 3468331
{'charpoly_factorization': [[[64, 4, -20, -2, 1], 1]], 'hecke_orbit_code': 121597189972561826, 'p': 17}
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id: 3468332
{'charpoly_factorization': [[[232, 220, -32, -8, 1], 1]], 'hecke_orbit_code': 121597189972561826, 'p': 19}
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id: 3468333
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 121597189972561826, 'p': 23}
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id: 3468334
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 121597189972561826, 'p': 29}
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id: 3468335
{'charpoly_factorization': [[[-56, 143, 91, 17, 1], 1]], 'hecke_orbit_code': 121597189972561826, 'p': 31}
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id: 3468336
{'charpoly_factorization': [[[-2672, 839, -11, -15, 1], 1]], 'hecke_orbit_code': 121597189972561826, 'p': 37}
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id: 3468337
{'charpoly_factorization': [[[434, 165, -75, -1, 1], 1]], 'hecke_orbit_code': 121597189972561826, 'p': 41}
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id: 3468338
{'charpoly_factorization': [[[10352, 496, -208, -4, 1], 1]], 'hecke_orbit_code': 121597189972561826, 'p': 43}
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id: 3468339
{'charpoly_factorization': [[[176, 36, -40, -6, 1], 1]], 'hecke_orbit_code': 121597189972561826, 'p': 47}
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id: 3468340
{'charpoly_factorization': [[[56, 60, -108, -2, 1], 1]], 'hecke_orbit_code': 121597189972561826, 'p': 53}
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id: 3468341
{'charpoly_factorization': [[[-2404, -757, -17, 13, 1], 1]], 'hecke_orbit_code': 121597189972561826, 'p': 59}
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id: 3468342
{'charpoly_factorization': [[[56, 99, 57, 13, 1], 1]], 'hecke_orbit_code': 121597189972561826, 'p': 61}
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id: 3468343
{'charpoly_factorization': [[[-9268, -2479, -125, 13, 1], 1]], 'hecke_orbit_code': 121597189972561826, 'p': 67}
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id: 3468344
{'charpoly_factorization': [[[-3784, -1391, -69, 15, 1], 1]], 'hecke_orbit_code': 121597189972561826, 'p': 71}
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id: 3468345
{'charpoly_factorization': [[[-472, -108, 96, 22, 1], 1]], 'hecke_orbit_code': 121597189972561826, 'p': 73}
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id: 3468346
{'charpoly_factorization': [[[248, 412, 200, 26, 1], 1]], 'hecke_orbit_code': 121597189972561826, 'p': 79}
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id: 3468347
{'charpoly_factorization': [[[-10592, -2232, 4, 22, 1], 1]], 'hecke_orbit_code': 121597189972561826, 'p': 83}
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id: 3468348
{'charpoly_factorization': [[[-3776, -2996, -44, 24, 1], 1]], 'hecke_orbit_code': 121597189972561826, 'p': 89}
-
id: 3468349
{'charpoly_factorization': [[[6224, -1748, -236, 8, 1], 1]], 'hecke_orbit_code': 121597189972561826, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 28, 'label': '4002.2.a.bb', 'level': 4002, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 67547473
{'hecke_orbit_code': 121597189972561826, 'n': 1, 'trace_an': 4}
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id: 67547474
{'hecke_orbit_code': 121597189972561826, 'n': 2, 'trace_an': -4}
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id: 67547475
{'hecke_orbit_code': 121597189972561826, 'n': 3, 'trace_an': 4}
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id: 67547476
{'hecke_orbit_code': 121597189972561826, 'n': 4, 'trace_an': 4}
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id: 67547477
{'hecke_orbit_code': 121597189972561826, 'n': 5, 'trace_an': -3}
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id: 67547478
{'hecke_orbit_code': 121597189972561826, 'n': 6, 'trace_an': -4}
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id: 67547479
{'hecke_orbit_code': 121597189972561826, 'n': 7, 'trace_an': -2}
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id: 67547480
{'hecke_orbit_code': 121597189972561826, 'n': 8, 'trace_an': -4}
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id: 67547481
{'hecke_orbit_code': 121597189972561826, 'n': 9, 'trace_an': 4}
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id: 67547482
{'hecke_orbit_code': 121597189972561826, 'n': 10, 'trace_an': 3}
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id: 67547483
{'hecke_orbit_code': 121597189972561826, 'n': 11, 'trace_an': -11}
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id: 67547484
{'hecke_orbit_code': 121597189972561826, 'n': 12, 'trace_an': 4}
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