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{'Nk2': 18560, 'analytic_conductor': 37.050586537874096, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, 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': [4640, 1, [4351, 581, 1857, 321], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 389376, 'field_disc_factorization': [[2, 8], [3, 2], [13, 2]], 'field_poly': [25, 0, -16, 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': 1, 'hecke_cutters': [[3, [-6, 0, 1]], [7, [-6, 0, 1]], [11, [-26, 0, 1]]], 'hecke_orbit': 15, 'hecke_orbit_code': 63050394816746016, 'hecke_ring_generator_nbound': 17, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '4640.2.a.o', 'level': 4640, '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': False, 'level_primes': [2, 5, 29], 'level_radical': 290, 'minimal_twist': '4640.2.a.o', 'nf_label': '4.4.389376.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{1}q^{3}-q^{5}-\\beta _{1}q^{7}+3q^{9}+\\beta _{2}q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4640.2.a', 'trace_display': [0, 0, -4, 0], 'trace_hash': 1834133630617139393, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'ALdims': [12, 16, 16, 10, 16, 12, 12, 18], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [3, 4, 4, 4, 4, 4, 4, 4], 'ALdims_old': [72, 77, 77, 73, 77, 71, 71, 75], 'Nk2': 18560, 'analytic_conductor': 37.050586537874096, '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': [4640, 1, [4351, 581, 1857, 321], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 705, 'dim': 112, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11], 'hecke_orbit_code': 33559072, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 7, 7, 8, 10, 10], 'label': '4640.2.a', 'level': 4640, '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': False, 'level_primes': [2, 5, 29], 'level_radical': 290, 'mf_dim': 736, 'mf_new_dim': 112, 'num_forms': 27, 'plus_dim': 46, 'prim_orbit_index': 1, 'relative_dim': 112, 'sturm_bound': 1440, 'trace_bound': 21, 'trace_display': [0, 0, 0, 0], 'traces': [112, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 32, 0, 0, 0, -16, 0, 0, 0, 32, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 32, 0, 0, 0, -16, 0, 0, 0, -64, 0, 0, 0, -16, 0, 0, 0, -64, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -32, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 48, 0, 0, 0, 64, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 160, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 48, 0, 0, 0, 96, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 64, 0, 0, 0, 32, 0, 0, 0, 128, 0, 0, 0, 48, 0, 0, 0, 64, 0, 0, 0, -16, 0, 0, 0, 64, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 96, 0, 0, 0, 96, 0, 0, 0, 96, 0, 0, 0, -32, 0, 0, 0, -32, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 96, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -32, 0, 0, 0, 256, 0, 0, 0, 128, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, -32, 0, 0, 0, 320, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -96, 0, 0, 0, 160, 0, 0, 0, -224, 0, 0, 0, 224, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, -192, 0, 0, 0, -16, 0, 0, 0, -32, 0, 0, 0, 32, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -32, 0, 0, 0, -224, 0, 0, 0, 96, 0, 0, 0, 160, 0, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -128, 0, 0, 0, -128, 0, 0, 0, -64, 0, 0, 0, -16, 0, 0, 0, -256, 0, 0, 0, 16, 0, 0, 0, -96, 0, 0, 0, 208, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 192, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -192, 0, 0, 0, -256, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, -192, 0, 0, 0, -32, 0, 0, 0, -192, 0, 0, 0, 128, 0, 0, 0, -64, 0, 0, 0, -48, 0, 0, 0, 32, 0, 0, 0, -64, 0, 0, 0, -224, 0, 0, 0, 32, 0, 0, 0, -96, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -256, 0, 0, 0, 128, 0, 0, 0, -32, 0, 0, 0, -96, 0, 0, 0, -256, 0, 0, 0, 48, 0, 0, 0, -160, 0, 0, 0, -80, 0, 0, 0, 128, 0, 0, 0, -32, 0, 0, 0, -96, 0, 0, 0, 192, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, -128, 0, 0, 0, 112, 0, 0, 0, -96, 0, 0, 0, 192, 0, 0, 0, 96, 0, 0, 0, -32, 0, 0, 0, 128, 0, 0, 0, -96, 0, 0, 0, -128, 0, 0, 0, 80, 0, 0, 0, -96, 0, 0, 0, 32, 0, 0, 0, 160, 0, 0, 0, -32, 0, 0, 0, -224, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, -256, 0, 0, 0, -256, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, -192, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -96, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -448, 0, 0, 0, -288, 0, 0, 0, 96, 0, 0, 0, 80, 0, 0, 0, -128, 0, 0, 0, -96, 0, 0, 0, -128, 0, 0, 0, -128, 0, 0, 0, -160, 0, 0, 0, 48, 0, 0, 0, 192, 0, 0, 0, 96, 0, 0, 0, -128, 0, 0, 0, 160, 0, 0, 0, 160, 0, 0, 0, -64, 0, 0, 0, 288, 0, 0, 0, 160, 0, 0, 0, -96, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, -240, 0, 0, 0, -128, 0, 0, 0, 112, 0, 0, 0, 128, 0, 0, 0, -192, 0, 0, 0, -256, 0, 0, 0, 64, 0, 0, 0, 64, 0, 0, 0, 48, 0, 0, 0, -256, 0, 0, 0, -80, 0, 0, 0, -32, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, -192, 0, 0, 0, -352, 0, 0, 0, -96, 0, 0, 0, -32, 0, 0, 0, -128, 0, 0, 0, -96, 0, 0, 0, -352, 0, 0, 0, -384, 0, 0, 0, 32, 0, 0, 0, -144, 0, 0, 0, -128, 0, 0, 0, -320, 0, 0, 0, 32, 0, 0, 0, -160, 0, 0, 0, 448, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, -64, 0, 0, 0, -448, 0, 0, 0, 64, 0, 0, 0, -32, 0, 0, 0, 672, 0, 0, 0, -80, 0, 0, 0, -352, 0, 0, 0, -256, 0, 0, 0, 288, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47789636
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394816746016, 'source_is_minimal': True, 'source_label': '4640.2.a.o.1.3', 'source_level': 4640, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 63050394816746016, 'target_is_minimal': True, 'target_label': '4640.2.a.o.1.3', 'target_level': 4640, 'twist_class_label': '4640.2.a.o.1.2', 'twist_class_level': 4640, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47789637
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394816746016, 'source_is_minimal': True, 'source_label': '4640.2.a.o.1.3', 'source_level': 4640, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050394816746016, 'target_is_minimal': True, 'target_label': '4640.2.a.o.1.2', 'target_level': 4640, 'twist_class_label': '4640.2.a.o.1.2', 'twist_class_level': 4640, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47789638
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394816746016, 'source_is_minimal': True, 'source_label': '4640.2.a.o.1.3', 'source_level': 4640, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 247697979538940992, 'target_is_minimal': False, 'target_label': '9280.2.a.cd.1.3', 'target_level': 9280, 'twist_class_label': '4640.2.a.o.1.2', 'twist_class_level': 4640, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47789639
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 63050394816746016, 'source_is_minimal': True, 'source_label': '4640.2.a.o.1.3', 'source_level': 4640, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 247697979538940992, 'target_is_minimal': False, 'target_label': '9280.2.a.cd.1.2', 'target_level': 9280, 'twist_class_label': '4640.2.a.o.1.2', 'twist_class_level': 4640, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3659025
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 63050394816746016, 'p': 2}
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id: 3659026
{'charpoly_factorization': [[[-6, 0, 1], 2]], 'hecke_orbit_code': 63050394816746016, 'p': 3}
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id: 3659027
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 63050394816746016, 'p': 5}
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id: 3659028
{'charpoly_factorization': [[[-6, 0, 1], 2]], 'hecke_orbit_code': 63050394816746016, 'p': 7}
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id: 3659029
{'charpoly_factorization': [[[-26, 0, 1], 2]], 'hecke_orbit_code': 63050394816746016, 'p': 11}
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id: 3659030
{'charpoly_factorization': [[[-4, 1], 4]], 'hecke_orbit_code': 63050394816746016, 'p': 13}
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id: 3659031
{'charpoly_factorization': [[[-38, -2, 1], 2]], 'hecke_orbit_code': 63050394816746016, 'p': 17}
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id: 3659032
{'charpoly_factorization': [[[-6, 0, 1], 2]], 'hecke_orbit_code': 63050394816746016, 'p': 19}
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id: 3659033
{'charpoly_factorization': [[[-26, 0, 1], 2]], 'hecke_orbit_code': 63050394816746016, 'p': 23}
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id: 3659034
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 63050394816746016, 'p': 29}
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id: 3659035
{'charpoly_factorization': [[[-54, 0, 1], 2]], 'hecke_orbit_code': 63050394816746016, 'p': 31}
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id: 3659036
{'charpoly_factorization': [[[-30, 6, 1], 2]], 'hecke_orbit_code': 63050394816746016, 'p': 37}
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id: 3659037
{'charpoly_factorization': [[[8, 1], 4]], 'hecke_orbit_code': 63050394816746016, 'p': 41}
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id: 3659038
{'charpoly_factorization': [[[9604, 0, -220, 0, 1], 1]], 'hecke_orbit_code': 63050394816746016, 'p': 43}
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id: 3659039
{'charpoly_factorization': [[[9604, 0, -220, 0, 1], 1]], 'hecke_orbit_code': 63050394816746016, 'p': 47}
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id: 3659040
{'charpoly_factorization': [[[-8, 1], 4]], 'hecke_orbit_code': 63050394816746016, 'p': 53}
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id: 3659041
{'charpoly_factorization': [[[784, 0, -160, 0, 1], 1]], 'hecke_orbit_code': 63050394816746016, 'p': 59}
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id: 3659042
{'charpoly_factorization': [[[-152, 4, 1], 2]], 'hecke_orbit_code': 63050394816746016, 'p': 61}
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id: 3659043
{'charpoly_factorization': [[[4, 0, -100, 0, 1], 1]], 'hecke_orbit_code': 63050394816746016, 'p': 67}
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id: 3659044
{'charpoly_factorization': [[[400, 0, -64, 0, 1], 1]], 'hecke_orbit_code': 63050394816746016, 'p': 71}
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id: 3659045
{'charpoly_factorization': [[[10, 14, 1], 2]], 'hecke_orbit_code': 63050394816746016, 'p': 73}
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id: 3659046
{'charpoly_factorization': [[[4900, 0, -244, 0, 1], 1]], 'hecke_orbit_code': 63050394816746016, 'p': 79}
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id: 3659047
{'charpoly_factorization': [[[2500, 0, -316, 0, 1], 1]], 'hecke_orbit_code': 63050394816746016, 'p': 83}
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id: 3659048
{'charpoly_factorization': [[[6, 1], 4]], 'hecke_orbit_code': 63050394816746016, 'p': 89}
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id: 3659049
{'charpoly_factorization': [[[-14, -10, 1], 2]], 'hecke_orbit_code': 63050394816746016, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 15, 'label': '4640.2.a.o', 'level': 4640, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 59629969
{'hecke_orbit_code': 63050394816746016, 'n': 1, 'trace_an': 4}
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id: 59629970
{'hecke_orbit_code': 63050394816746016, 'n': 2, 'trace_an': 0}
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id: 59629971
{'hecke_orbit_code': 63050394816746016, 'n': 3, 'trace_an': 0}
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id: 59629972
{'hecke_orbit_code': 63050394816746016, 'n': 4, 'trace_an': 0}
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id: 59629973
{'hecke_orbit_code': 63050394816746016, 'n': 5, 'trace_an': -4}
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id: 59629974
{'hecke_orbit_code': 63050394816746016, 'n': 6, 'trace_an': 0}
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