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{'Nk2': 34200, 'analytic_conductor': 68.27209372819473, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, -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': [8550, 1, [1901, 1027, 1351], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 568, 'field_disc_factorization': [[2, 3], [71, 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': [[7, [2, -1, -4, 1]], [11, [8, -10, 0, 1]], [13, [2, 13, -8, 1]], [17, [4, -7, -2, 1]], [23, [-122, -49, 0, 1]], [53, [106, 77, 16, 1]]], 'hecke_orbit': 63, 'hecke_orbit_code': 279223176930533734, 'hecke_ring_generator_nbound': 7, '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': False, 'label': '8550.2.a.ck', 'level': 8550, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'minimal_twist': '190.2.b.b', 'nf_label': '3.3.568.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{4}+(1+\\beta _{1})q^{7}-q^{8}+(\\beta _{1}+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8550.2.a', 'trace_display': [-3, 0, 0, 4], 'trace_hash': 1974267648098167048, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.023', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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3.124885419764574, 'hecke_orbit': 63, 'hecke_orbit_code': 279223176930533734, 'label': '8550.2.a.ck.1.3', 'level': 8550, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [19, -1]], 9, 4], [[[2, -1], [3, 1], [5, 1], [19, -1]], 6, 3], [[[2, -1], [3, 1], [5, 1], [19, 1]], 7, 4], [[[2, 1], [3, 1], [5, -1], [19, -1]], 9, 2], [[[2, 1], [3, -1], [5, -1], [19, 1]], 10, 6], [[[2, 1], [3, 1], [5, -1], [19, 1]], 7, 2], [[[2, -1], [3, 1], [5, -1], [19, 1]], 7, 2], [[[2, 1], [3, 1], [5, 1], [19, 1]], 7, 4], [[[2, -1], [3, 1], [5, -1], [19, -1]], 9, 2], [[[2, 1], [3, 1], [5, 1], [19, -1]], 6, 3], [[[2, 1], [3, -1], [5, -1], [19, -1]], 12, 5], [[[2, 1], [3, -1], [5, 1], [19, -1]], 8, 7], [[[2, -1], [3, -1], [5, 1], [19, -1]], 13, 10], [[[2, 1], [3, -1], [5, 1], [19, 1]], 12, 8], [[[2, -1], [3, -1], [5, -1], [19, 1]], 13, 7], [[[2, -1], [3, -1], [5, 1], [19, 1]], 8, 7]], 'ALdims': [7, 6, 7, 9, 12, 8, 10, 12, 7, 6, 7, 9, 8, 13, 13, 9], 'Nk2': 34200, 'analytic_conductor': 68.27209372819473, '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': [8550, 1, [1901, 1027, 1351], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1753, 'dim': 143, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17, 23, 53], 'hecke_orbit_code': 33562982, '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, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6], 'label': '8550.2.a', 'level': 8550, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'mf_dim': 1848, 'mf_new_dim': 143, 'num_forms': 76, 'plus_dim': 64, 'prim_orbit_index': 1, 'relative_dim': 143, 'sturm_bound': 3600, 'trace_bound': 23, 'trace_display': [1, 0, 0, -2], 'traces': [143, 1, 0, 143, 0, 0, -2, 1, 0, 0, -12, 0, -2, -4, 0, 143, 4, 0, 1, 0, 0, -4, 6, 0, 0, -12, 0, -2, -18, 0, 12, 1, 0, -22, 0, 0, 34, 3, 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mf_twists_cc • Show schema
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id: 49108104
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 279223176930533734, 'source_is_minimal': False, 'source_label': '8550.2.a.ck.1.3', 'source_level': 8550, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 279223176930533734, 'target_is_minimal': False, 'target_label': '8550.2.a.ck.1.3', 'target_level': 8550, 'twist_class_label': '190.2.b.b.39.1', 'twist_class_level': 190, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49108105
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 279223176930533734, 'source_is_minimal': False, 'source_label': '8550.2.a.ck.1.3', 'source_level': 8550, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58546795189371830, 'target_is_minimal': False, 'target_label': '950.2.a.n.1.1', 'target_level': 950, 'twist_class_label': '190.2.b.b.39.1', 'twist_class_level': 190, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49108106
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 279223176930533734, 'source_is_minimal': False, 'source_label': '8550.2.a.ck.1.3', 'source_level': 8550, 'target_conrey_index': 1369, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511005074097838, 'target_is_minimal': False, 'target_label': '1710.2.d.d.1369.1', 'target_level': 1710, 'twist_class_label': '190.2.b.b.39.1', 'twist_class_level': 190, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49108107
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 279223176930533734, 'source_is_minimal': False, 'source_label': '8550.2.a.ck.1.3', 'source_level': 8550, 'target_conrey_index': 1369, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511005074097838, 'target_is_minimal': False, 'target_label': '1710.2.d.d.1369.4', 'target_level': 1710, 'twist_class_label': '190.2.b.b.39.1', 'twist_class_level': 190, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49108108
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 279223176930533734, 'source_is_minimal': False, 'source_label': '8550.2.a.ck.1.3', 'source_level': 8550, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 283726776557904230, 'target_is_minimal': False, 'target_label': '8550.2.a.cl.1.1', 'target_level': 8550, 'twist_class_label': '190.2.b.b.39.1', 'twist_class_level': 190, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 49108109
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 279223176930533734, 'source_is_minimal': False, 'source_label': '8550.2.a.ck.1.3', 'source_level': 8550, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 153122387364158896, 'target_is_minimal': False, 'target_label': '7600.2.a.bi.1.3', 'target_level': 7600, 'twist_class_label': '190.2.b.b.39.1', 'twist_class_level': 190, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 49108110
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 279223176930533734, 'source_is_minimal': False, 'source_label': '8550.2.a.ck.1.3', 'source_level': 8550, 'target_conrey_index': 39, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4503668380401854, 'target_is_minimal': True, 'target_label': '190.2.b.b.39.6', 'target_level': 190, 'twist_class_label': '190.2.b.b.39.1', 'twist_class_level': 190, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49108111
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 279223176930533734, 'source_is_minimal': False, 'source_label': '8550.2.a.ck.1.3', 'source_level': 8550, 'target_conrey_index': 39, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503668380401854, 'target_is_minimal': True, 'target_label': '190.2.b.b.39.1', 'target_level': 190, 'twist_class_label': '190.2.b.b.39.1', 'twist_class_level': 190, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 49108112
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 279223176930533734, 'source_is_minimal': False, 'source_label': '8550.2.a.ck.1.3', 'source_level': 8550, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 36028797052519350, 'target_is_minimal': False, 'target_label': '950.2.a.i.1.3', 'target_level': 950, 'twist_class_label': '190.2.b.b.39.1', 'twist_class_level': 190, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 49108113
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 279223176930533734, 'source_is_minimal': False, 'source_label': '8550.2.a.ck.1.3', 'source_level': 8550, 'target_conrey_index': 609, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 40532602838320624, 'target_is_minimal': False, 'target_label': '1520.2.d.j.609.5', 'target_level': 1520, 'twist_class_label': '190.2.b.b.39.1', 'twist_class_level': 190, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 49108114
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 279223176930533734, 'source_is_minimal': False, 'source_label': '8550.2.a.ck.1.3', 'source_level': 8550, 'target_conrey_index': 609, 'target_dim': 6, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532602838320624, 'target_is_minimal': False, 'target_label': '1520.2.d.j.609.2', 'target_level': 1520, 'twist_class_label': '190.2.b.b.39.1', 'twist_class_level': 190, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 49108115
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 279223176930533734, 'source_is_minimal': False, 'source_label': '8550.2.a.ck.1.3', 'source_level': 8550, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 247697979538939312, 'target_is_minimal': False, 'target_label': '7600.2.a.cd.1.1', 'target_level': 7600, 'twist_class_label': '190.2.b.b.39.1', 'twist_class_level': 190, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4786600
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 279223176930533734, 'p': 2}
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id: 4786601
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 279223176930533734, 'p': 3}
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id: 4786602
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 279223176930533734, 'p': 5}
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id: 4786603
{'charpoly_factorization': [[[2, -1, -4, 1], 1]], 'hecke_orbit_code': 279223176930533734, 'p': 7}
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id: 4786604
{'charpoly_factorization': [[[8, -10, 0, 1], 1]], 'hecke_orbit_code': 279223176930533734, 'p': 11}
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id: 4786605
{'charpoly_factorization': [[[2, 13, -8, 1], 1]], 'hecke_orbit_code': 279223176930533734, 'p': 13}
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id: 4786606
{'charpoly_factorization': [[[4, -7, -2, 1], 1]], 'hecke_orbit_code': 279223176930533734, 'p': 17}
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id: 4786607
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 279223176930533734, 'p': 19}
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id: 4786608
{'charpoly_factorization': [[[-122, -49, 0, 1], 1]], 'hecke_orbit_code': 279223176930533734, 'p': 23}
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id: 4786609
{'charpoly_factorization': [[[410, -51, -8, 1], 1]], 'hecke_orbit_code': 279223176930533734, 'p': 29}
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id: 4786610
{'charpoly_factorization': [[[232, -62, -4, 1], 1]], 'hecke_orbit_code': 279223176930533734, 'p': 31}
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id: 4786611
{'charpoly_factorization': [[[-16, 40, -14, 1], 1]], 'hecke_orbit_code': 279223176930533734, 'p': 37}
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id: 4786612
{'charpoly_factorization': [[[100, -50, 2, 1], 1]], 'hecke_orbit_code': 279223176930533734, 'p': 41}
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id: 4786613
{'charpoly_factorization': [[[-148, 98, -18, 1], 1]], 'hecke_orbit_code': 279223176930533734, 'p': 43}
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id: 4786614
{'charpoly_factorization': [[[64, 32, -14, 1], 1]], 'hecke_orbit_code': 279223176930533734, 'p': 47}
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id: 4786615
{'charpoly_factorization': [[[106, 77, 16, 1], 1]], 'hecke_orbit_code': 279223176930533734, 'p': 53}
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id: 4786616
{'charpoly_factorization': [[[-80, -29, 2, 1], 1]], 'hecke_orbit_code': 279223176930533734, 'p': 59}
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id: 4786617
{'charpoly_factorization': [[[892, 290, 30, 1], 1]], 'hecke_orbit_code': 279223176930533734, 'p': 61}
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id: 4786618
{'charpoly_factorization': [[[64, -61, -2, 1], 1]], 'hecke_orbit_code': 279223176930533734, 'p': 67}
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id: 4786619
{'charpoly_factorization': [[[1016, -122, -8, 1], 1]], 'hecke_orbit_code': 279223176930533734, 'p': 71}
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id: 4786620
{'charpoly_factorization': [[[-164, -95, -10, 1], 1]], 'hecke_orbit_code': 279223176930533734, 'p': 73}
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id: 4786621
{'charpoly_factorization': [[[-880, -228, 0, 1], 1]], 'hecke_orbit_code': 279223176930533734, 'p': 79}
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id: 4786622
{'charpoly_factorization': [[[8, -28, -6, 1], 1]], 'hecke_orbit_code': 279223176930533734, 'p': 83}
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id: 4786623
{'charpoly_factorization': [[[20, 46, -14, 1], 1]], 'hecke_orbit_code': 279223176930533734, 'p': 89}
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id: 4786624
{'charpoly_factorization': [[[488, -100, -10, 1], 1]], 'hecke_orbit_code': 279223176930533734, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 63, 'label': '8550.2.a.ck', 'level': 8550, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 279740000
{'hecke_orbit_code': 279223176930533734, 'n': 1, 'trace_an': 3}
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id: 279740001
{'hecke_orbit_code': 279223176930533734, 'n': 2, 'trace_an': -3}
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id: 279740002
{'hecke_orbit_code': 279223176930533734, 'n': 3, 'trace_an': 0}
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id: 279740003
{'hecke_orbit_code': 279223176930533734, 'n': 4, 'trace_an': 3}
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id: 279740004
{'hecke_orbit_code': 279223176930533734, 'n': 5, 'trace_an': 0}
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id: 279740005
{'hecke_orbit_code': 279223176930533734, 'n': 6, 'trace_an': 0}
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id: 279740006
{'hecke_orbit_code': 279223176930533734, 'n': 7, 'trace_an': 4}
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id: 279740007
{'hecke_orbit_code': 279223176930533734, 'n': 8, 'trace_an': -3}
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id: 279740008
{'hecke_orbit_code': 279223176930533734, 'n': 9, 'trace_an': 0}
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id: 279740009
{'hecke_orbit_code': 279223176930533734, 'n': 10, 'trace_an': 0}
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id: 279740010
{'hecke_orbit_code': 279223176930533734, 'n': 11, 'trace_an': 0}
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id: 279740011
{'hecke_orbit_code': 279223176930533734, 'n': 12, 'trace_an': 0}
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id: 279740012
{'hecke_orbit_code': 279223176930533734, 'n': 13, 'trace_an': 8}
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id: 279740013
{'hecke_orbit_code': 279223176930533734, 'n': 14, 'trace_an': -4}
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id: 279740014
{'hecke_orbit_code': 279223176930533734, 'n': 15, 'trace_an': 0}
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id: 279740015
{'hecke_orbit_code': 279223176930533734, 'n': 16, 'trace_an': 3}
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id: 279740016
{'hecke_orbit_code': 279223176930533734, 'n': 17, 'trace_an': 2}
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id: 279740017
{'hecke_orbit_code': 279223176930533734, 'n': 18, 'trace_an': 0}
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id: 279740018
{'hecke_orbit_code': 279223176930533734, 'n': 19, 'trace_an': 3}
-
id: 279740019
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