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{'Nk2': 6144, 'analytic_conductor': 12.265021750468668, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 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': [1536, 1, [511, 517, 1025], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 8, 'field_disc_factorization': [[2, 3]], 'field_poly': [-2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 8, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [2, -4, 1]], [7, [2, 4, 1]], [11, [2, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014398543037952, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1536.2.a.e', 'level': 1536, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '1536.2.a.b', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+(2+\\beta )q^{5}+(-2+\\beta )q^{7}+q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1536.2.a', 'trace_display': [0, -2, 4, -4], 'trace_hash': 710792873526410685, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.946', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.371', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 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0, 8, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [-1, 0], [0, 0], [2, 1], [0, 0], [-2, 1], [0, 0], [1, 0], [0, 0], [-2, 0], [0, 0], [0, -2], [0, 0], [-2, -1], [0, 0], [-2, -4], [0, 0], [0, -4], [0, 0], [2, -1], [0, 0], [-4, -2], [0, 0], [1, 4], [0, 0], [-1, 0], [0, 0], [2, 1], [0, 0], [-6, -1], [0, 0], [2, 0], [0, 0], [-2, 0], [0, 0], [-4, 4], [0, 0], [0, 2], [0, 0], [-6, 4], [0, 0], [4, 4], [0, 0], [2, 1], [0, 0], [-4, 6], [0, 0], [-1, -4], [0, 0], [2, 4], [0, 0], [2, -7], [0, 0], [-4, -2], [0, 0], [0, 4], [0, 0], [4, 0], [0, 0], [-4, 4], [0, 0], [-2, 1], [0, 0], [-4, -4], [0, 0], [8, 0], [0, 0], [4, 2], [0, 0], [-12, -2], [0, 0], [4, 4], [0, 0], [-1, -4], [0, 0], [4, -2], [0, 0], [-10, -3], [0, 0], [1, 0], [0, 0], [2, 8], [0, 0], [-12, -10], [0, 0], [-2, -1], [0, 0], [2, 0], [0, 0], [-4, 4], [0, 0], [6, 1], [0, 0], [-8, -8], [0, 0], [2, -8], [0, 0], [-2, 0], [0, 0]], 'ap': [[0, 0], [-1, 0], [2, 1], [-2, 1], [-2, 0], [0, -2], [-2, -4], [0, -4], [-4, -2], [2, 1], [-6, -1], [-4, 4], [-6, 4], [4, 4], [-4, 6], 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2], [-2, -28], [-16, -36], [6, 48], [48, -4], [10, 45], [30, -16], [60, -28], [28, 4], [6, 39], [32, 44], [6, 5], [-10, -4], [12, -14], [10, -43], [-60, 12], [-16, 56], [-34, 24], [40, -44], [70, -1], [14, 24], [50, 16], [-12, 44], [4, 58]], 'char_orbit_index': 1, 'field_poly': [-2, 0, 1], 'hecke_orbit_code': 18014398543037952, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '1536.2.a.e', 'level': 1536, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1]], 6, 3], [[[2, 1], [3, -1]], 10, 4], [[[2, -1], [3, 1]], 10, 4], [[[2, 1], [3, 1]], 6, 3]], 'ALdims': [6, 10, 10, 6], 'Nk2': 6144, 'analytic_conductor': 12.265021750468668, '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': [1536, 1, [511, 517, 1025], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 225, 'dim': 32, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11], 'hecke_orbit_code': 33555968, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4], 'label': '1536.2.a', 'level': 1536, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 288, 'mf_new_dim': 32, 'num_forms': 14, 'plus_dim': 12, 'prim_orbit_index': 1, 'relative_dim': 32, 'sturm_bound': 512, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [32, 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mf_twists_nf • Show schema
Hide schema
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id: 753851
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '1536.2.a.e', 'source_level': 1536, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '1536.2.a.b', 'target_level': 1536, 'twist_class_label': '1536.2.a.b', 'twist_class_level': 1536, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 753852
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '1536.2.a.e', 'source_level': 1536, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '1536.2.a.e', 'target_level': 1536, 'twist_class_label': '1536.2.a.b', 'twist_class_level': 1536, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 753853
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '1536.2.a.e', 'source_level': 1536, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '1536.2.a.g', 'target_level': 1536, 'twist_class_label': '1536.2.a.b', 'twist_class_level': 1536, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 753854
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '1536.2.a.e', 'source_level': 1536, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': True, 'target_label': '1536.2.a.l', 'target_level': 1536, 'twist_class_label': '1536.2.a.b', 'twist_class_level': 1536, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 753855
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '1536.2.a.e', 'source_level': 1536, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1536.2.d.a', 'target_level': 1536, 'twist_class_label': '1536.2.a.b', 'twist_class_level': 1536, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 753856
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '1536.2.a.e', 'source_level': 1536, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1536.2.d.f', 'target_level': 1536, 'twist_class_label': '1536.2.a.b', 'twist_class_level': 1536, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 753857
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '1536.2.a.e', 'source_level': 1536, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '4608.2.a.a', 'target_level': 4608, 'twist_class_label': '1536.2.a.b', 'twist_class_level': 1536, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 753858
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '1536.2.a.e', 'source_level': 1536, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '4608.2.a.e', 'target_level': 4608, 'twist_class_label': '1536.2.a.b', 'twist_class_level': 1536, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 753859
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '1536.2.a.e', 'source_level': 1536, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '4608.2.a.n', 'target_level': 4608, 'twist_class_label': '1536.2.a.b', 'twist_class_level': 1536, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 753860
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '1536.2.a.e', 'source_level': 1536, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '4608.2.a.r', 'target_level': 4608, 'twist_class_label': '1536.2.a.b', 'twist_class_level': 1536, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 753861
{'conductor': 48, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '1536.2.a.e', 'source_level': 1536, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '4608.2.d.c', 'target_level': 4608, 'twist_class_label': '1536.2.a.b', 'twist_class_level': 1536, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 753862
{'conductor': 48, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 5, 'source_is_minimal': True, 'source_label': '1536.2.a.e', 'source_level': 1536, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '4608.2.d.o', 'target_level': 4608, 'twist_class_label': '1536.2.a.b', 'twist_class_level': 1536, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2019675
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 18014398543037952, 'p': 2}
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id: 2019676
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 18014398543037952, 'p': 3}
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id: 2019677
{'charpoly_factorization': [[[2, -4, 1], 1]], 'hecke_orbit_code': 18014398543037952, 'p': 5}
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id: 2019678
{'charpoly_factorization': [[[2, 4, 1], 1]], 'hecke_orbit_code': 18014398543037952, 'p': 7}
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id: 2019679
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 18014398543037952, 'p': 11}
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id: 2019680
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 18014398543037952, 'p': 13}
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id: 2019681
{'charpoly_factorization': [[[-28, 4, 1], 1]], 'hecke_orbit_code': 18014398543037952, 'p': 17}
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id: 2019682
{'charpoly_factorization': [[[-32, 0, 1], 1]], 'hecke_orbit_code': 18014398543037952, 'p': 19}
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id: 2019683
{'charpoly_factorization': [[[8, 8, 1], 1]], 'hecke_orbit_code': 18014398543037952, 'p': 23}
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id: 2019684
{'charpoly_factorization': [[[2, -4, 1], 1]], 'hecke_orbit_code': 18014398543037952, 'p': 29}
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id: 2019685
{'charpoly_factorization': [[[34, 12, 1], 1]], 'hecke_orbit_code': 18014398543037952, 'p': 31}
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id: 2019686
{'charpoly_factorization': [[[-16, 8, 1], 1]], 'hecke_orbit_code': 18014398543037952, 'p': 37}
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id: 2019687
{'charpoly_factorization': [[[4, 12, 1], 1]], 'hecke_orbit_code': 18014398543037952, 'p': 41}
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id: 2019688
{'charpoly_factorization': [[[-16, -8, 1], 1]], 'hecke_orbit_code': 18014398543037952, 'p': 43}
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id: 2019689
{'charpoly_factorization': [[[-56, 8, 1], 1]], 'hecke_orbit_code': 18014398543037952, 'p': 47}
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id: 2019690
{'charpoly_factorization': [[[-94, -4, 1], 1]], 'hecke_orbit_code': 18014398543037952, 'p': 53}
-
id: 2019691
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 18014398543037952, 'p': 59}
-
id: 2019692
{'charpoly_factorization': [[[-16, 8, 1], 1]], 'hecke_orbit_code': 18014398543037952, 'p': 61}
-
id: 2019693
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 18014398543037952, 'p': 67}
-
id: 2019694
{'charpoly_factorization': [[[136, 24, 1], 1]], 'hecke_orbit_code': 18014398543037952, 'p': 71}
-
id: 2019695
{'charpoly_factorization': [[[-16, -8, 1], 1]], 'hecke_orbit_code': 18014398543037952, 'p': 73}
-
id: 2019696
{'charpoly_factorization': [[[82, 20, 1], 1]], 'hecke_orbit_code': 18014398543037952, 'p': 79}
-
id: 2019697
{'charpoly_factorization': [[[-124, -4, 1], 1]], 'hecke_orbit_code': 18014398543037952, 'p': 83}
-
id: 2019698
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 18014398543037952, 'p': 89}
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id: 2019699
{'charpoly_factorization': [[[-124, -4, 1], 1]], 'hecke_orbit_code': 18014398543037952, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 5, 'label': '1536.2.a.e', 'level': 1536, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 147725000
{'hecke_orbit_code': 18014398543037952, 'n': 1, 'trace_an': 2}
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id: 147725001
{'hecke_orbit_code': 18014398543037952, 'n': 2, 'trace_an': 0}
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id: 147725002
{'hecke_orbit_code': 18014398543037952, 'n': 3, 'trace_an': -2}
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id: 147725003
{'hecke_orbit_code': 18014398543037952, 'n': 4, 'trace_an': 0}
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id: 147725004
{'hecke_orbit_code': 18014398543037952, 'n': 5, 'trace_an': 4}
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id: 147725005
{'hecke_orbit_code': 18014398543037952, 'n': 6, 'trace_an': 0}
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id: 147725988
{'hecke_orbit_code': 18014398543037952, 'n': 989, 'trace_an': -64}
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id: 147725989
{'hecke_orbit_code': 18014398543037952, 'n': 990, 'trace_an': 0}
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id: 147725990
{'hecke_orbit_code': 18014398543037952, 'n': 991, 'trace_an': -4}
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id: 147725991
{'hecke_orbit_code': 18014398543037952, 'n': 992, 'trace_an': 0}
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id: 147725992
{'hecke_orbit_code': 18014398543037952, 'n': 993, 'trace_an': 0}
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id: 147725993
{'hecke_orbit_code': 18014398543037952, 'n': 994, 'trace_an': 0}
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id: 147725994
{'hecke_orbit_code': 18014398543037952, 'n': 995, 'trace_an': -52}
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id: 147725995
{'hecke_orbit_code': 18014398543037952, 'n': 996, 'trace_an': 0}
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id: 147725996
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id: 147725997
{'hecke_orbit_code': 18014398543037952, 'n': 998, 'trace_an': 0}
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id: 147725998
{'hecke_orbit_code': 18014398543037952, 'n': 999, 'trace_an': 8}
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id: 147725999
{'hecke_orbit_code': 18014398543037952, 'n': 1000, 'trace_an': 0}