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{'Nk2': 37440, 'analytic_conductor': 74.73997629191844, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, 1], [13, 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': [9360, 1, [8191, 2341, 2081, 5617, 5761], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [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': 0, 'hecke_cutters': [[7, [3, 1]], [11, [1, 1]], [17, [-1, 1]], [19, [-2, 1]], [31, [-6, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510798915675280, 'hecke_ring_generator_nbound': 1, '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': '9360.2.a.d', 'level': 9360, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'minimal_twist': '195.2.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{5}-3q^{7}-q^{11}-q^{13}+q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/9360/d'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9360.2.a', 'trace_display': [0, 0, -1, -3], 'trace_hash': 646269300364236418, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.981', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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'weight': 2, 'weight_parity': 1}
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mf_hecke_cc • Show schema
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'9360.2.a.d.1.1', 'level': 9360, 'weight': 2}
-
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [13, -1]], 7, 4], [[[2, -1], [3, 1], [5, 1], [13, -1]], 7, 5], [[[2, 1], [3, 1], [5, -1], [13, -1]], 5, 3], [[[2, -1], [3, 1], [5, -1], [13, 1]], 5, 4], [[[2, -1], [3, 1], [5, -1], [13, -1]], 7, 5], [[[2, -1], [3, -1], [5, 1], [13, 1]], 9, 6], [[[2, 1], [3, -1], [5, -1], [13, -1]], 11, 7], [[[2, 1], [3, 1], [5, 1], [13, -1]], 5, 3], [[[2, 1], [3, -1], [5, 1], [13, -1]], 8, 7], [[[2, 1], [3, 1], [5, 1], [13, 1]], 7, 4], [[[2, -1], [3, 1], [5, 1], [13, 1]], 5, 4], [[[2, 1], [3, -1], [5, -1], [13, 1]], 8, 5], [[[2, -1], [3, -1], [5, 1], [13, -1]], 10, 8], [[[2, -1], [3, -1], [5, -1], [13, 1]], 10, 9], [[[2, 1], [3, 1], [5, -1], [13, 1]], 7, 4], [[[2, 1], [3, -1], [5, 1], [13, 1]], 9, 5]], 'ALdims': [7, 5, 7, 5, 9, 8, 8, 11, 5, 7, 5, 7, 9, 10, 10, 7], 'Nk2': 37440, 'analytic_conductor': 74.73997629191844, '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': [9360, 1, [8191, 2341, 2081, 5617, 5761], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1969, 'dim': 120, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17, 19, 31], 'hecke_orbit_code': 33563792, '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, 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, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3], 'label': '9360.2.a', 'level': 9360, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'mf_dim': 2064, 'mf_new_dim': 120, 'num_forms': 83, 'plus_dim': 56, 'prim_orbit_index': 1, 'relative_dim': 120, 'sturm_bound': 4032, 'trace_bound': 19, 'trace_display': [0, 0, 0, 4], 'traces': [120, 0, 0, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 0, 0, -8, 0, -8, 0, 0, 0, 8, 0, 120, 0, 0, 0, -24, 0, -8, 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mf_twists_cc • Show schema
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id: 42844105
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915675280, 'source_is_minimal': False, 'source_label': '9360.2.a.d.1.1', 'source_level': 9360, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915675280, 'target_is_minimal': False, 'target_label': '9360.2.a.d.1.1', 'target_level': 9360, 'twist_class_label': '195.2.a.b.1.1', 'twist_class_level': 195, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 42844106
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915675280, 'source_is_minimal': False, 'source_label': '9360.2.a.d.1.1', 'source_level': 9360, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90071992580967472, 'target_is_minimal': False, 'target_label': '3120.2.a.u.1.1', 'target_level': 3120, 'twist_class_label': '195.2.a.b.1.1', 'twist_class_level': 195, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 42844107
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915675280, 'source_is_minimal': False, 'source_label': '9360.2.a.d.1.1', 'source_level': 9360, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660925513, 'target_is_minimal': False, 'target_label': '585.2.a.b.1.1', 'target_level': 585, 'twist_class_label': '195.2.a.b.1.1', 'twist_class_level': 195, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 42844108
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915675280, 'source_is_minimal': False, 'source_label': '9360.2.a.d.1.1', 'source_level': 9360, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660925123, 'target_is_minimal': True, 'target_label': '195.2.a.b.1.1', 'target_level': 195, 'twist_class_label': '195.2.a.b.1.1', 'twist_class_level': 195, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 42844109
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915675280, 'source_is_minimal': False, 'source_label': '9360.2.a.d.1.1', 'source_level': 9360, 'target_conrey_index': 2224, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007336727251821, 'target_is_minimal': False, 'target_label': '2925.2.c.c.2224.2', 'target_level': 2925, 'twist_class_label': '195.2.a.b.1.1', 'twist_class_level': 195, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 42844110
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915675280, 'source_is_minimal': False, 'source_label': '9360.2.a.d.1.1', 'source_level': 9360, 'target_conrey_index': 2224, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007336727251821, 'target_is_minimal': False, 'target_label': '2925.2.c.c.2224.1', 'target_level': 2925, 'twist_class_label': '195.2.a.b.1.1', 'twist_class_level': 195, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 42844111
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915675280, 'source_is_minimal': False, 'source_label': '9360.2.a.d.1.1', 'source_level': 9360, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057594071485293, 'target_is_minimal': False, 'target_label': '2925.2.a.q.1.1', 'target_level': 2925, 'twist_class_label': '195.2.a.b.1.1', 'twist_class_level': 195, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 42844112
{'conductor': 52, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915675280, 'source_is_minimal': False, 'source_label': '9360.2.a.d.1.1', 'source_level': 9360, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90071992580971957, 'target_is_minimal': False, 'target_label': '7605.2.a.u.1.1', 'target_level': 7605, 'twist_class_label': '195.2.a.b.1.1', 'twist_class_level': 195, 'twisting_char_label': '52.51', 'twisting_conrey_index': 51, 'weight': 2}
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id: 42844113
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915675280, 'source_is_minimal': False, 'source_label': '9360.2.a.d.1.1', 'source_level': 9360, 'target_conrey_index': 274, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 137472508879, 'target_is_minimal': False, 'target_label': '975.2.c.a.274.1', 'target_level': 975, 'twist_class_label': '195.2.a.b.1.1', 'twist_class_level': 195, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 42844114
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915675280, 'source_is_minimal': False, 'source_label': '9360.2.a.d.1.1', 'source_level': 9360, 'target_conrey_index': 274, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 137472508879, 'target_is_minimal': False, 'target_label': '975.2.c.a.274.2', 'target_level': 975, 'twist_class_label': '195.2.a.b.1.1', 'twist_class_level': 195, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 42844115
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915675280, 'source_is_minimal': False, 'source_label': '9360.2.a.d.1.1', 'source_level': 9360, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288296399, 'target_is_minimal': False, 'target_label': '975.2.a.c.1.1', 'target_level': 975, 'twist_class_label': '195.2.a.b.1.1', 'twist_class_level': 195, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 42844116
{'conductor': 84, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915675280, 'source_is_minimal': False, 'source_label': '9360.2.a.d.1.1', 'source_level': 9360, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 94575592208344403, 'target_is_minimal': False, 'target_label': '9555.2.a.v.1.1', 'target_level': 9555, 'twist_class_label': '195.2.a.b.1.1', 'twist_class_level': 195, 'twisting_char_label': '84.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 42844117
{'conductor': 156, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13510798915675280, 'source_is_minimal': False, 'source_label': '9360.2.a.d.1.1', 'source_level': 9360, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33556967, 'target_is_minimal': False, 'target_label': '2535.2.a.a.1.1', 'target_level': 2535, 'twist_class_label': '195.2.a.b.1.1', 'twist_class_level': 195, 'twisting_char_label': '156.155', 'twisting_conrey_index': 155, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 5007050
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915675280, 'p': 2}
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id: 5007051
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 13510798915675280, 'p': 3}
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id: 5007052
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 13510798915675280, 'p': 5}
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id: 5007053
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 13510798915675280, 'p': 7}
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id: 5007054
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 13510798915675280, 'p': 11}
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id: 5007055
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 13510798915675280, 'p': 13}
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id: 5007056
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 13510798915675280, 'p': 17}
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id: 5007057
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 13510798915675280, 'p': 19}
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id: 5007058
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 13510798915675280, 'p': 23}
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id: 5007059
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 13510798915675280, 'p': 29}
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id: 5007060
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 13510798915675280, 'p': 31}
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id: 5007061
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 13510798915675280, 'p': 37}
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id: 5007062
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 13510798915675280, 'p': 41}
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id: 5007063
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 13510798915675280, 'p': 43}
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id: 5007064
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 13510798915675280, 'p': 47}
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id: 5007065
{'charpoly_factorization': [[[11, 1], 1]], 'hecke_orbit_code': 13510798915675280, 'p': 53}
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id: 5007066
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 13510798915675280, 'p': 59}
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id: 5007067
{'charpoly_factorization': [[[-13, 1], 1]], 'hecke_orbit_code': 13510798915675280, 'p': 61}
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id: 5007068
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 13510798915675280, 'p': 67}
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id: 5007069
{'charpoly_factorization': [[[5, 1], 1]], 'hecke_orbit_code': 13510798915675280, 'p': 71}
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id: 5007070
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 13510798915675280, 'p': 73}
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id: 5007071
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 13510798915675280, 'p': 79}
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id: 5007072
{'charpoly_factorization': [[[12, 1], 1]], 'hecke_orbit_code': 13510798915675280, 'p': 83}
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id: 5007073
{'charpoly_factorization': [[[-15, 1], 1]], 'hecke_orbit_code': 13510798915675280, 'p': 89}
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id: 5007074
{'charpoly_factorization': [[[-17, 1], 1]], 'hecke_orbit_code': 13510798915675280, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 4, 'label': '9360.2.a.d', 'level': 9360, 'portrait': 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', 'weight': 2}
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id: 133525000
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id: 133525997
{'hecke_orbit_code': 13510798915675280, 'n': 998, 'trace_an': 0}
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id: 133525998
{'hecke_orbit_code': 13510798915675280, 'n': 999, 'trace_an': 0}
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id: 133525999
{'hecke_orbit_code': 13510798915675280, 'n': 1000, 'trace_an': 0}