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{'Nk2': 14080, 'analytic_conductor': 28.107341511490695, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, 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': [3520, 1, [2751, 1541, 2817, 321], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 5, 'field_disc': 792644, 'field_disc_factorization': [[2, 2], [71, 1], [2791, 1]], 'field_poly': [-2, 4, 4, -7, -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': [[3, [-16, 32, 0, -13, 0, 1]], [7, [224, 208, 8, -27, -2, 1]], [13, [2656, 496, -272, -48, 6, 1]], [17, [-8, 748, 74, -57, -2, 1]], [19, [192, 176, -108, -23, 6, 1]]], 'hecke_orbit': 52, 'hecke_orbit_code': 229683581029453248, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 8, 'hecke_ring_index_factorization': [[2, 3]], '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': False, 'label': '3520.2.a.bz', 'level': 3520, '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, 11], 'level_radical': 110, 'minimal_twist': '1760.2.a.u', 'nf_label': '5.5.792644.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{3}q^{3}-q^{5}+\\beta _{4}q^{7}+(2-\\beta _{1})q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3520.2.a', 'trace_display': [0, 0, -5, 2], 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mf_newspaces • Show schema
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{'ALdims': [10, 12, 10, 8, 10, 8, 10, 12], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [53, 64, 60, 60, 62, 58, 62, 54], 'Nk2': 14080, 'analytic_conductor': 28.107341511490695, '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': [3520, 1, [2751, 1541, 2817, 321], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 553, 'dim': 80, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 13, 17, 19], 'hecke_orbit_code': 33557952, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5, 5], 'label': '3520.2.a', 'level': 3520, '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, 11], 'level_radical': 110, 'mf_dim': 600, 'mf_new_dim': 80, 'num_forms': 52, 'plus_dim': 36, 'prim_orbit_index': 1, 'relative_dim': 80, 'sturm_bound': 1152, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [80, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 32, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -64, 0, 0, 0, 160, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, -64, 0, 0, 0, 32, 0, 0, 0, 80, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, -128, 0, 0, 0, 32, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, -64, 0, 0, 0, 96, 0, 0, 0, -64, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 16, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 32, 0, 0, 0, 128, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -32, 0, 0, 0, -32, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -32, 0, 0, 0, -96, 0, 0, 0, 32, 0, 0, 0, 160, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, -32, 0, 0, 0, -160, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, -192, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 320, 0, 0, 0, -256, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 64, 0, 0, 0, 80, 0, 0, 0, 32, 0, 0, 0, -192, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -64, 0, 0, 0, -256, 0, 0, 0, 32, 0, 0, 0, 160, 0, 0, 0, -64, 0, 0, 0, -96, 0, 0, 0, -224, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -32, 0, 0, 0, 80, 0, 0, 0, 256, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 96, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -128, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, -224, 0, 0, 0, 256, 0, 0, 0, 192, 0, 0, 0, 80, 0, 0, 0, -224, 0, 0, 0, 128, 0, 0, 0, -224, 0, 0, 0, 96, 0, 0, 0, -192, 0, 0, 0, 64, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -416, 0, 0, 0, 192, 0, 0, 0, -96, 0, 0, 0, 32, 0, 0, 0, -64, 0, 0, 0, 192, 0, 0, 0, 160, 0, 0, 0, 192, 0, 0, 0, -128, 0, 0, 0, 32, 0, 0, 0, -192, 0, 0, 0, 96, 0, 0, 0, 256, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 96, 0, 0, 0, -160, 0, 0, 0, -128, 0, 0, 0, -320, 0, 0, 0, -288, 0, 0, 0, 128, 0, 0, 0, -160, 0, 0, 0, -32, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, -32, 0, 0, 0, -32, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, -448, 0, 0, 0, -128, 0, 0, 0, -480, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, -128, 0, 0, 0, -224, 0, 0, 0, 304, 0, 0, 0, -160, 0, 0, 0, -32, 0, 0, 0, 416, 0, 0, 0, 192, 0, 0, 0, -224, 0, 0, 0, -64, 0, 0, 0, -96, 0, 0, 0, -128, 0, 0, 0, -32, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -256, 0, 0, 0, 320, 0, 0, 0, 288, 0, 0, 0, -64, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, -352, 0, 0, 0, -32, 0, 0, 0, 192, 0, 0, 0, -128, 0, 0, 0, -128, 0, 0, 0, 192, 0, 0, 0, 64, 0, 0, 0, -128, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, -96, 0, 0, 0, 256, 0, 0, 0, -320, 0, 0, 0, -224, 0, 0, 0, -864, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, -32, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 49047735
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 229683581029453248, 'source_is_minimal': False, 'source_label': '3520.2.a.bz.1.1', 'source_level': 3520, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 229683581029453248, 'target_is_minimal': False, 'target_label': '3520.2.a.bz.1.1', 'target_level': 3520, 'twist_class_label': '1760.2.a.u.1.1', 'twist_class_level': 1760, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49047736
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 229683581029453248, 'source_is_minimal': False, 'source_label': '3520.2.a.bz.1.1', 'source_level': 3520, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 225179981402082752, 'target_is_minimal': False, 'target_label': '3520.2.a.by.1.5', 'target_level': 3520, 'twist_class_label': '1760.2.a.u.1.1', 'twist_class_level': 1760, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49047737
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 229683581029453248, 'source_is_minimal': False, 'source_label': '3520.2.a.bz.1.1', 'source_level': 3520, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90071992580966112, 'target_is_minimal': True, 'target_label': '1760.2.a.u.1.1', 'target_level': 1760, 'twist_class_label': '1760.2.a.u.1.1', 'twist_class_level': 1760, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49047738
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 229683581029453248, 'source_is_minimal': False, 'source_label': '3520.2.a.bz.1.1', 'source_level': 3520, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 94575592208336608, 'target_is_minimal': True, 'target_label': '1760.2.a.v.1.5', 'target_level': 1760, 'twist_class_label': '1760.2.a.u.1.1', 'twist_class_level': 1760, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 49047739
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 229683581029453248, 'source_is_minimal': False, 'source_label': '3520.2.a.bz.1.1', 'source_level': 3520, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 5, 'target_hecke_orbit_code': 211669182519976544, 'target_is_minimal': False, 'target_label': '8800.2.a.bv.1.5', 'target_level': 8800, 'twist_class_label': '1760.2.a.u.1.1', 'twist_class_level': 1760, 'twisting_char_label': '40.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 49047740
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 1, 'source_hecke_orbit_code': 229683581029453248, 'source_is_minimal': False, 'source_label': '3520.2.a.bz.1.1', 'source_level': 3520, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 1, 'target_hecke_orbit_code': 207165582892606048, 'target_is_minimal': False, 'target_label': '8800.2.a.bu.1.1', 'target_level': 8800, 'twist_class_label': '1760.2.a.u.1.1', 'twist_class_level': 1760, 'twisting_char_label': '40.29', 'twisting_conrey_index': 29, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3221825
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 229683581029453248, 'p': 2}
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id: 3221826
{'charpoly_factorization': [[[-16, 32, 0, -13, 0, 1], 1]], 'hecke_orbit_code': 229683581029453248, 'p': 3}
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id: 3221827
{'charpoly_factorization': [[[1, 1], 5]], 'hecke_orbit_code': 229683581029453248, 'p': 5}
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id: 3221828
{'charpoly_factorization': [[[224, 208, 8, -27, -2, 1], 1]], 'hecke_orbit_code': 229683581029453248, 'p': 7}
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id: 3221829
{'charpoly_factorization': [[[1, 1], 5]], 'hecke_orbit_code': 229683581029453248, 'p': 11}
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id: 3221830
{'charpoly_factorization': [[[2656, 496, -272, -48, 6, 1], 1]], 'hecke_orbit_code': 229683581029453248, 'p': 13}
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id: 3221831
{'charpoly_factorization': [[[-8, 748, 74, -57, -2, 1], 1]], 'hecke_orbit_code': 229683581029453248, 'p': 17}
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id: 3221832
{'charpoly_factorization': [[[192, 176, -108, -23, 6, 1], 1]], 'hecke_orbit_code': 229683581029453248, 'p': 19}
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id: 3221833
{'charpoly_factorization': [[[6592, -832, -816, -44, 12, 1], 1]], 'hecke_orbit_code': 229683581029453248, 'p': 23}
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id: 3221834
{'charpoly_factorization': [[[7736, 980, -574, -61, 10, 1], 1]], 'hecke_orbit_code': 229683581029453248, 'p': 29}
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id: 3221835
{'charpoly_factorization': [[[64, 464, -436, -65, 8, 1], 1]], 'hecke_orbit_code': 229683581029453248, 'p': 31}
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id: 3221836
{'charpoly_factorization': [[[2616, 908, -358, -83, 4, 1], 1]], 'hecke_orbit_code': 229683581029453248, 'p': 37}
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id: 3221837
{'charpoly_factorization': [[[-96, 656, 432, -104, -6, 1], 1]], 'hecke_orbit_code': 229683581029453248, 'p': 41}
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id: 3221838
{'charpoly_factorization': [[[1536, 512, -480, -96, 4, 1], 1]], 'hecke_orbit_code': 229683581029453248, 'p': 43}
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id: 3221839
{'charpoly_factorization': [[[7104, 2176, -304, -116, 0, 1], 1]], 'hecke_orbit_code': 229683581029453248, 'p': 47}
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id: 3221840
{'charpoly_factorization': [[[2616, 908, -358, -83, 4, 1], 1]], 'hecke_orbit_code': 229683581029453248, 'p': 53}
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id: 3221841
{'charpoly_factorization': [[[14592, -1088, -976, -12, 16, 1], 1]], 'hecke_orbit_code': 229683581029453248, 'p': 59}
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id: 3221842
{'charpoly_factorization': [[[-72, 1364, -478, -61, 10, 1], 1]], 'hecke_orbit_code': 229683581029453248, 'p': 61}
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id: 3221843
{'charpoly_factorization': [[[-9472, -3072, 2000, -192, -8, 1], 1]], 'hecke_orbit_code': 229683581029453248, 'p': 67}
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id: 3221844
{'charpoly_factorization': [[[-38464, -25488, -3660, -9, 24, 1], 1]], 'hecke_orbit_code': 229683581029453248, 'p': 71}
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id: 3221845
{'charpoly_factorization': [[[1376, 176, -400, -112, -2, 1], 1]], 'hecke_orbit_code': 229683581029453248, 'p': 73}
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id: 3221846
{'charpoly_factorization': [[[-512, 512, 0, -52, 0, 1], 1]], 'hecke_orbit_code': 229683581029453248, 'p': 79}
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id: 3221847
{'charpoly_factorization': [[[-15232, 15168, -656, -276, 4, 1], 1]], 'hecke_orbit_code': 229683581029453248, 'p': 83}
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id: 3221848
{'charpoly_factorization': [[[51416, -28644, 3954, -15, -24, 1], 1]], 'hecke_orbit_code': 229683581029453248, 'p': 89}
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id: 3221849
{'charpoly_factorization': [[[-46208, -2528, 2216, 36, -26, 1], 1]], 'hecke_orbit_code': 229683581029453248, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 52, 'label': '3520.2.a.bz', 'level': 3520, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 71640643
{'hecke_orbit_code': 229683581029453248, 'n': 1, 'trace_an': 5}
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id: 71640644
{'hecke_orbit_code': 229683581029453248, 'n': 2, 'trace_an': 0}
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id: 71640645
{'hecke_orbit_code': 229683581029453248, 'n': 3, 'trace_an': 0}
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id: 71640646
{'hecke_orbit_code': 229683581029453248, 'n': 4, 'trace_an': 0}
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id: 71640647
{'hecke_orbit_code': 229683581029453248, 'n': 5, 'trace_an': -5}
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id: 71640648
{'hecke_orbit_code': 229683581029453248, 'n': 6, 'trace_an': 0}
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id: 71640649
{'hecke_orbit_code': 229683581029453248, 'n': 7, 'trace_an': 2}
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id: 71640650
{'hecke_orbit_code': 229683581029453248, 'n': 8, 'trace_an': 0}
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id: 71640651
{'hecke_orbit_code': 229683581029453248, 'n': 9, 'trace_an': 11}
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id: 71640652
{'hecke_orbit_code': 229683581029453248, 'n': 10, 'trace_an': 0}
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id: 71640653
{'hecke_orbit_code': 229683581029453248, 'n': 11, 'trace_an': -5}
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id: 71640654
{'hecke_orbit_code': 229683581029453248, 'n': 12, 'trace_an': 0}
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id: 71640655
{'hecke_orbit_code': 229683581029453248, 'n': 13, 'trace_an': -6}
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id: 71640656
{'hecke_orbit_code': 229683581029453248, 'n': 14, 'trace_an': 0}
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id: 71640657
{'hecke_orbit_code': 229683581029453248, 'n': 15, 'trace_an': 0}
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id: 71640658
{'hecke_orbit_code': 229683581029453248, 'n': 16, 'trace_an': 0}
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id: 71640659
{'hecke_orbit_code': 229683581029453248, 'n': 17, 'trace_an': 2}
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id: 71640660
{'hecke_orbit_code': 229683581029453248, 'n': 18, 'trace_an': 0}
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id: 71640661
{'hecke_orbit_code': 229683581029453248, 'n': 19, 'trace_an': -6}
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id: 71640662
{'hecke_orbit_code': 229683581029453248, 'n': 20, 'trace_an': 0}
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id: 71640663
{'hecke_orbit_code': 229683581029453248, 'n': 21, 'trace_an': -12}
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id: 71640664
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