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mf_newforms • Show schema
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{'Nk2': 19152, 'analytic_conductor': 38.23237248778905, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, -1], [19, 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': [4788, 1, [2395, 533, 4105, 1009], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 1016, 'field_disc_factorization': [[2, 3], [127, 1]], 'field_poly': [2, -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, [-16, -14, 0, 1]], [11, [2, 1]], [13, [16, -24, -2, 1]]], 'hecke_orbit': 16, 'hecke_orbit_code': 67553994444116660, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], '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': '4788.2.a.p', 'level': 4788, '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, 3, 7, 19], 'level_radical': 798, 'minimal_twist': '1596.2.a.j', 'nf_label': '3.3.1016.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{2}q^{5}+q^{7}-2q^{11}+(1+\\beta _{1})q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4788.2.a', 'trace_display': [0, 0, 0, 3], 'trace_hash': 1037807344946958051, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.095', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'ALdims': [0, 0, 0, 0, 0, 0, 0, 0, 6, 4, 4, 6, 6, 7, 7, 6], 'Nk2': 19152, 'analytic_conductor': 38.23237248778905, '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': [4788, 1, [2395, 533, 4105, 1009], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 937, 'dim': 46, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13], 'hecke_orbit_code': 33559220, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 6], 'label': '4788.2.a', 'level': 4788, '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, 3, 7, 19], 'level_radical': 798, 'mf_dim': 984, 'mf_new_dim': 46, 'num_forms': 20, 'plus_dim': 20, 'prim_orbit_index': 1, 'relative_dim': 46, 'sturm_bound': 1920, 'trace_bound': 13, 'trace_display': [0, 0, 8, 0], 'traces': [46, 0, 0, 0, 8, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 42, 0, 0, 0, 16, 0, -24, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, 0, 46, 0, 0, 0, -12, 0, -28, 0, 0, 0, 12, 0, 0, 0, 0, 0, 4, 0, -8, 0, 0, 0, 0, 0, 28, 0, 0, 0, -8, 0, -4, 0, 0, 0, -32, 0, 44, 0, 0, 0, 60, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 20, 0, 0, 0, 48, 0, 0, 0, 0, 0, -4, 0, 44, 0, 0, 0, 0, 0, 50, 0, 0, 0, 84, 0, -52, 0, 0, 0, 28, 0, 2, 0, 0, 0, 12, 0, 28, 0, 0, 0, -8, 0, 16, 0, 0, 0, -44, 0, -8, 0, 0, 0, -44, 0, 0, 0, 0, 0, -24, 0, 28, 0, 0, 0, -4, 0, 58, 0, 0, 0, -28, 0, 16, 0, 0, 0, 80, 0, 52, 0, 0, 0, -28, 0, 24, 0, 0, 0, -28, 0, 16, 0, 0, 0, -24, 0, 76, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, 0, 20, 0, 0, 0, -64, 0, -12, 0, 0, 0, 52, 0, 4, 0, 0, 0, 0, 0, 36, 0, 0, 0, -16, 0, -24, 0, 0, 0, 56, 0, -12, 0, 0, 0, 8, 0, 8, 0, 0, 0, 116, 0, -28, 0, 0, 0, 0, 0, -24, 0, 0, 0, -52, 0, 4, 0, 0, 0, -8, 0, 52, 0, 0, 0, -56, 0, -28, 0, 0, 0, -16, 0, -64, 0, 0, 0, 0, 0, -2, 0, 0, 0, 48, 0, 12, 0, 0, 0, -60, 0, 8, 0, 0, 0, 0, 0, -32, 0, 0, 0, -52, 0, 20, 0, 0, 0, 60, 0, 56, 0, 0, 0, -8, 0, 44, 0, 0, 0, 4, 0, -60, 0, 0, 0, -16, 0, 56, 0, 0, 0, -60, 0, 0, 0, 0, 0, 20, 0, 76, 0, 0, 0, 72, 0, -60, 0, 0, 0, 44, 0, 46, 0, 0, 0, -28, 0, -36, 0, 0, 0, 16, 0, -60, 0, 0, 0, -28, 0, -24, 0, 0, 0, -52, 0, 8, 0, 0, 0, 24, 0, -52, 0, 0, 0, 40, 0, 76, 0, 0, 0, -32, 0, 28, 0, 0, 0, 68, 0, -48, 0, 0, 0, -16, 0, 132, 0, 0, 0, -44, 0, 128, 0, 0, 0, -12, 0, 36, 0, 0, 0, 84, 0, -56, 0, 0, 0, -8, 0, 80, 0, 0, 0, -12, 0, -8, 0, 0, 0, 60, 0, 36, 0, 0, 0, 40, 0, 8, 0, 0, 0, 100, 0, -48, 0, 0, 0, 32, 0, 0, 0, 0, 0, -32, 0, -16, 0, 0, 0, 12, 0, 116, 0, 0, 0, 92, 0, -72, 0, 0, 0, -96, 0, 76, 0, 0, 0, 0, 0, 4, 0, 0, 0, -24, 0, -72, 0, 0, 0, -44, 0, 4, 0, 0, 0, 20, 0, -100, 0, 0, 0, 120, 0, -4, 0, 0, 0, -136, 0, 22, 0, 0, 0, -44, 0, 4, 0, 0, 0, -4, 0, 100, 0, 0, 0, 148, 0, 84, 0, 0, 0, -4, 0, 0, 0, 0, 0, -24, 0, -64, 0, 0, 0, 68, 0, 36, 0, 0, 0, 48, 0, 8, 0, 0, 0, 32, 0, 60, 0, 0, 0, -28, 0, 124, 0, 0, 0, 40, 0, 16, 0, 0, 0, 104, 0, -8, 0, 0, 0, -28, 0, -8, 0, 0, 0, 0, 0, -84, 0, 0, 0, -52, 0, 72, 0, 0, 0, -160, 0, -128, 0, 0, 0, 4, 0, -42, 0, 0, 0, 144, 0, -88, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 76, 0, 0, 0, -52, 0, 32, 0, 0, 0, 4, 0, -52, 0, 0, 0, 8, 0, -84, 0, 0, 0, -12, 0, 116, 0, 0, 0, -156, 0, -20, 0, 0, 0, 104, 0, 28, 0, 0, 0, -16, 0, -128, 0, 0, 0, -8, 0, -104, 0, 0, 0, 8, 0, -136, 0, 0, 0, -84, 0, 16, 0, 0, 0, -76, 0, -68, 0, 0, 0, -64, 0, 36, 0, 0, 0, -64, 0, -40, 0, 0, 0, -44, 0, -244, 0, 0, 0, 16, 0, 20, 0, 0, 0, -160, 0, -208, 0, 0, 0, -104, 0, 60, 0, 0, 0, -16, 0, -236, 0, 0, 0, 0, 0, 68, 0, 0, 0, -48, 0, -16, 0, 0, 0, -64, 0, -12, 0, 0, 0, 172, 0, -192, 0, 0, 0, -36, 0, -196, 0, 0, 0, 92, 0, -152, 0, 0, 0, 40, 0, 180, 0, 0, 0, -108, 0, 4, 0, 0, 0, 132, 0, -4, 0, 0, 0, 4, 0, -240, 0, 0, 0, -40, 0, -40, 0, 0, 0, -108, 0, -48, 0, 0, 0, -56, 0, 116, 0, 0, 0, 0, 0, -68, 0, 0, 0, 72, 0, 86, 0, 0, 0, -92, 0, 0, 0, 0, 0, -116, 0, 172, 0, 0, 0, -12, 0, -196, 0, 0, 0, -4, 0, 40, 0, 0, 0, 56, 0, -116, 0, 0, 0, -36, 0, -100, 0, 0, 0, -132, 0, 48, 0, 0, 0, 36, 0, 48, 0, 0, 0, -16, 0, 80, 0, 0, 0, -112, 0, 44, 0, 0, 0, 172, 0, 112, 0, 0, 0, 36, 0, -188, 0, 0, 0, -24, 0, -112, 0, 0, 0, 44, 0, 12, 0, 0, 0, -44, 0, 0, 0, 0, 0, 172, 0, -56, 0, 0, 0, -28, 0, -88, 0, 0, 0, -12, 0, 248, 0, 0, 0, -72, 0, 160, 0, 0, 0, -16, 0, -118, 0, 0, 0, -120, 0, -172, 0, 0, 0, -92, 0, 20, 0, 0, 0, 100, 0, 24, 0, 0, 0, -196, 0, 0, 0, 0, 0, 64, 0, -164, 0, 0, 0, 168, 0, -52, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47906869
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 67553994444116660, 'source_is_minimal': False, 'source_label': '4788.2.a.p.1.2', 'source_level': 4788, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 67553994444116660, 'target_is_minimal': False, 'target_label': '4788.2.a.p.1.2', 'target_level': 4788, 'twist_class_label': '1596.2.a.j.1.2', 'twist_class_level': 1596, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47906870
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 67553994444116660, 'source_is_minimal': False, 'source_label': '4788.2.a.p.1.2', 'source_level': 4788, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532396679890492, 'target_is_minimal': True, 'target_label': '1596.2.a.j.1.2', 'target_level': 1596, 'twist_class_label': '1596.2.a.j.1.2', 'twist_class_level': 1596, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47906871
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 67553994444116660, 'source_is_minimal': False, 'source_label': '4788.2.a.p.1.2', 'source_level': 4788, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 202661983265233136, 'target_is_minimal': False, 'target_label': '6384.2.a.bt.1.2', 'target_level': 6384, 'twist_class_label': '1596.2.a.j.1.2', 'twist_class_level': 1596, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3706050
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 67553994444116660, 'p': 2}
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id: 3706051
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 67553994444116660, 'p': 3}
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id: 3706052
{'charpoly_factorization': [[[-16, -14, 0, 1], 1]], 'hecke_orbit_code': 67553994444116660, 'p': 5}
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id: 3706053
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 67553994444116660, 'p': 7}
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id: 3706054
{'charpoly_factorization': [[[2, 1], 3]], 'hecke_orbit_code': 67553994444116660, 'p': 11}
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id: 3706055
{'charpoly_factorization': [[[16, -24, -2, 1], 1]], 'hecke_orbit_code': 67553994444116660, 'p': 13}
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id: 3706056
{'charpoly_factorization': [[[-16, -14, 0, 1], 1]], 'hecke_orbit_code': 67553994444116660, 'p': 17}
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id: 3706057
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 67553994444116660, 'p': 19}
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id: 3706058
{'charpoly_factorization': [[[2, 1], 3]], 'hecke_orbit_code': 67553994444116660, 'p': 23}
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id: 3706059
{'charpoly_factorization': [[[-412, -98, 2, 1], 1]], 'hecke_orbit_code': 67553994444116660, 'p': 29}
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id: 3706060
{'charpoly_factorization': [[[32, -20, -4, 1], 1]], 'hecke_orbit_code': 67553994444116660, 'p': 31}
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id: 3706061
{'charpoly_factorization': [[[-24, -44, -6, 1], 1]], 'hecke_orbit_code': 67553994444116660, 'p': 37}
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id: 3706062
{'charpoly_factorization': [[[-4, 1], 3]], 'hecke_orbit_code': 67553994444116660, 'p': 41}
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id: 3706063
{'charpoly_factorization': [[[208, -44, -8, 1], 1]], 'hecke_orbit_code': 67553994444116660, 'p': 43}
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id: 3706064
{'charpoly_factorization': [[[-648, -126, 4, 1], 1]], 'hecke_orbit_code': 67553994444116660, 'p': 47}
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id: 3706065
{'charpoly_factorization': [[[-4, -2, 6, 1], 1]], 'hecke_orbit_code': 67553994444116660, 'p': 53}
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id: 3706066
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 67553994444116660, 'p': 59}
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id: 3706067
{'charpoly_factorization': [[[-8, 52, -18, 1], 1]], 'hecke_orbit_code': 67553994444116660, 'p': 61}
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id: 3706068
{'charpoly_factorization': [[[-128, -56, 0, 1], 1]], 'hecke_orbit_code': 67553994444116660, 'p': 67}
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id: 3706069
{'charpoly_factorization': [[[4, -2, -6, 1], 1]], 'hecke_orbit_code': 67553994444116660, 'p': 71}
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id: 3706070
{'charpoly_factorization': [[[296, -68, -10, 1], 1]], 'hecke_orbit_code': 67553994444116660, 'p': 73}
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id: 3706071
{'charpoly_factorization': [[[992, 8, -20, 1], 1]], 'hecke_orbit_code': 67553994444116660, 'p': 79}
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id: 3706072
{'charpoly_factorization': [[[-216, -94, -4, 1], 1]], 'hecke_orbit_code': 67553994444116660, 'p': 83}
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id: 3706073
{'charpoly_factorization': [[[-4, 1], 3]], 'hecke_orbit_code': 67553994444116660, 'p': 89}
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id: 3706074
{'charpoly_factorization': [[[2, 1], 3]], 'hecke_orbit_code': 67553994444116660, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 16, 'label': '4788.2.a.p', 'level': 4788, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 60617077
{'hecke_orbit_code': 67553994444116660, 'n': 1, 'trace_an': 3}
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id: 60617078
{'hecke_orbit_code': 67553994444116660, 'n': 2, 'trace_an': 0}
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id: 60617079
{'hecke_orbit_code': 67553994444116660, 'n': 3, 'trace_an': 0}
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id: 60617080
{'hecke_orbit_code': 67553994444116660, 'n': 4, 'trace_an': 0}
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id: 60617081
{'hecke_orbit_code': 67553994444116660, 'n': 5, 'trace_an': 0}
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id: 60617082
{'hecke_orbit_code': 67553994444116660, 'n': 6, 'trace_an': 0}
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id: 60617083
{'hecke_orbit_code': 67553994444116660, 'n': 7, 'trace_an': 3}
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id: 60617084
{'hecke_orbit_code': 67553994444116660, 'n': 8, 'trace_an': 0}
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id: 60617085
{'hecke_orbit_code': 67553994444116660, 'n': 9, 'trace_an': 0}
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id: 60617086
{'hecke_orbit_code': 67553994444116660, 'n': 10, 'trace_an': 0}
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id: 60617087
{'hecke_orbit_code': 67553994444116660, 'n': 11, 'trace_an': -6}
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id: 60617088
{'hecke_orbit_code': 67553994444116660, 'n': 12, 'trace_an': 0}
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id: 60617089
{'hecke_orbit_code': 67553994444116660, 'n': 13, 'trace_an': 2}
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id: 60617090
{'hecke_orbit_code': 67553994444116660, 'n': 14, 'trace_an': 0}
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id: 60617091
{'hecke_orbit_code': 67553994444116660, 'n': 15, 'trace_an': 0}
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id: 60617092
{'hecke_orbit_code': 67553994444116660, 'n': 16, 'trace_an': 0}
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id: 60617093
{'hecke_orbit_code': 67553994444116660, 'n': 17, 'trace_an': 0}
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id: 60617094
{'hecke_orbit_code': 67553994444116660, 'n': 18, 'trace_an': 0}
-
id: 60617095
{'hecke_orbit_code': 67553994444116660, 'n': 19, 'trace_an': -3}
-
id: 60617096
{'hecke_orbit_code': 67553994444116660, 'n': 20, 'trace_an': 0}
-
id: 60617097
{'hecke_orbit_code': 67553994444116660, 'n': 21, 'trace_an': 0}
-
id: 60617098
{'hecke_orbit_code': 67553994444116660, 'n': 22, 'trace_an': 0}
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id: 60617099
{'hecke_orbit_code': 67553994444116660, 'n': 23, 'trace_an': -6}
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id: 60617100
{'hecke_orbit_code': 67553994444116660, 'n': 24, 'trace_an': 0}
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id: 60617101
{'hecke_orbit_code': 67553994444116660, 'n': 25, 'trace_an': 13}
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id: 60617102
{'hecke_orbit_code': 67553994444116660, 'n': 26, 'trace_an': 0}
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id: 60617103
{'hecke_orbit_code': 67553994444116660, 'n': 27, 'trace_an': 0}
-
id: 60617104
{'hecke_orbit_code': 67553994444116660, 'n': 28, 'trace_an': 0}
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id: 60617105
{'hecke_orbit_code': 67553994444116660, 'n': 29, 'trace_an': -2}
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id: 60617106
{'hecke_orbit_code': 67553994444116660, 'n': 30, 'trace_an': 0}
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id: 60617107
{'hecke_orbit_code': 67553994444116660, 'n': 31, 'trace_an': 4}
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id: 60617108
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