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{'Nk2': 16800, 'analytic_conductor': 33.53716884893776, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [5, -1], [7, 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': [4200, 1, [3151, 2101, 2801, 1177, 3601], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 148, 'field_disc_factorization': [[2, 2], [37, 1]], 'field_poly': [1, -3, -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': [[11, [8, -20, -2, 1]], [13, [-8, -12, 2, 1]], [17, [-16, -16, 0, 1]], [19, [8, -12, -2, 1]], [23, [-16, 8, 8, 1]]], 'hecke_orbit': 41, 'hecke_orbit_code': 180143985128378472, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], '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': '4200.2.a.bo', 'level': 4200, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'minimal_twist': '840.2.t.e', 'nf_label': '3.3.148.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}-q^{7}+q^{9}+(1+\\beta _{1}+\\beta _{2})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': '4200.2.a', 'trace_display': [0, -3, 0, -3], 'trace_hash': 492079824868823234, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.882', 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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [7, -1]], 4, 2], [[[2, -1], [3, 1], [5, 1], [7, -1]], 3, 3], [[[2, 1], [3, 1], [5, -1], [7, -1]], 3, 3], [[[2, -1], [3, 1], [5, -1], [7, -1]], 4, 3], [[[2, 1], [3, 1], [5, 1], [7, -1]], 4, 4], [[[2, 1], [3, -1], [5, -1], [7, -1]], 5, 2], [[[2, 1], [3, -1], [5, 1], [7, -1]], 2, 2], [[[2, -1], [3, -1], [5, 1], [7, 1]], 3, 3], [[[2, -1], [3, -1], [5, -1], [7, 1]], 4, 4], [[[2, 1], [3, -1], [5, -1], [7, 1]], 3, 2], [[[2, 1], [3, -1], [5, 1], [7, 1]], 4, 4], [[[2, -1], [3, 1], [5, 1], [7, 1]], 4, 2], [[[2, -1], [3, -1], [5, 1], [7, -1]], 4, 3], [[[2, 1], [3, 1], [5, 1], [7, 1]], 2, 2], [[[2, -1], [3, 1], [5, -1], [7, 1]], 4, 2], [[[2, 1], [3, 1], [5, -1], [7, 1]], 5, 2]], 'ALdims': [2, 4, 5, 3, 4, 2, 3, 5, 4, 3, 4, 4, 3, 4, 4, 4], 'Nk2': 16800, 'analytic_conductor': 33.53716884893776, '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': [4200, 1, [3151, 2101, 2801, 1177, 3601], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 913, 'dim': 58, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [11, 13, 17, 19, 23], 'hecke_orbit_code': 33558632, '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, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3], 'label': '4200.2.a', 'level': 4200, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 1008, 'mf_new_dim': 58, 'num_forms': 43, 'plus_dim': 24, 'prim_orbit_index': 1, 'relative_dim': 58, 'sturm_bound': 1920, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [58, 0, 0, 0, 0, 0, 0, 0, 58, 0, 0, 0, -4, 0, 0, 0, -4, 0, 0, 0, 2, 0, -8, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, -4, 0, 8, 0, -44, 0, 8, 0, 0, 0, 32, 0, 58, 0, -16, 0, -12, 0, 0, 0, 0, 0, 16, 0, -44, 0, 0, 0, 0, 0, -24, 0, 0, 0, 40, 0, -20, 0, 0, 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mf_twists_cc • Show schema
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id: 48935362
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 180143985128378472, 'source_is_minimal': False, 'source_label': '4200.2.a.bo.1.3', 'source_level': 4200, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 180143985128378472, 'target_is_minimal': False, 'target_label': '4200.2.a.bo.1.3', 'target_level': 4200, 'twist_class_label': '840.2.t.e.169.1', 'twist_class_level': 840, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48935363
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 180143985128378472, 'source_is_minimal': False, 'source_label': '4200.2.a.bo.1.3', 'source_level': 4200, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 396316767242166480, 'target_is_minimal': False, 'target_label': '8400.2.a.dk.1.1', 'target_level': 8400, 'twist_class_label': '840.2.t.e.169.1', 'twist_class_level': 840, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48935364
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 180143985128378472, 'source_is_minimal': False, 'source_label': '4200.2.a.bo.1.3', 'source_level': 4200, 'target_conrey_index': 169, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18015704213095240, 'target_is_minimal': True, 'target_label': '840.2.t.e.169.4', 'target_level': 840, 'twist_class_label': '840.2.t.e.169.1', 'twist_class_level': 840, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48935365
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 180143985128378472, 'source_is_minimal': False, 'source_label': '4200.2.a.bo.1.3', 'source_level': 4200, 'target_conrey_index': 169, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015704213095240, 'target_is_minimal': True, 'target_label': '840.2.t.e.169.1', 'target_level': 840, 'twist_class_label': '840.2.t.e.169.1', 'twist_class_level': 840, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48935366
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 180143985128378472, 'source_is_minimal': False, 'source_label': '4200.2.a.bo.1.3', 'source_level': 4200, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 189151184383119464, 'target_is_minimal': False, 'target_label': '4200.2.a.bq.1.3', 'target_level': 4200, 'twist_class_label': '840.2.t.e.169.1', 'twist_class_level': 840, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48935367
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 180143985128378472, 'source_is_minimal': False, 'source_label': '4200.2.a.bo.1.3', 'source_level': 4200, 'target_conrey_index': 1009, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 40533702349949400, 'target_is_minimal': False, 'target_label': '2520.2.t.j.1009.6', 'target_level': 2520, 'twist_class_label': '840.2.t.e.169.1', 'twist_class_level': 840, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48935368
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 180143985128378472, 'source_is_minimal': False, 'source_label': '4200.2.a.bo.1.3', 'source_level': 4200, 'target_conrey_index': 1009, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 40533702349949400, 'target_is_minimal': False, 'target_label': '2520.2.t.j.1009.5', 'target_level': 2520, 'twist_class_label': '840.2.t.e.169.1', 'twist_class_level': 840, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 48935369
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 180143985128378472, 'source_is_minimal': False, 'source_label': '4200.2.a.bo.1.3', 'source_level': 4200, 'target_conrey_index': 1009, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36030102722578064, 'target_is_minimal': False, 'target_label': '1680.2.t.i.1009.4', 'target_level': 1680, 'twist_class_label': '840.2.t.e.169.1', 'twist_class_level': 840, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48935370
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 180143985128378472, 'source_is_minimal': False, 'source_label': '4200.2.a.bo.1.3', 'source_level': 4200, 'target_conrey_index': 1009, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36030102722578064, 'target_is_minimal': False, 'target_label': '1680.2.t.i.1009.1', 'target_level': 1680, 'twist_class_label': '840.2.t.e.169.1', 'twist_class_level': 840, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 48935371
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 180143985128378472, 'source_is_minimal': False, 'source_label': '4200.2.a.bo.1.3', 'source_level': 4200, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 382805968360054992, 'target_is_minimal': False, 'target_label': '8400.2.a.dh.1.1', 'target_level': 8400, 'twist_class_label': '840.2.t.e.169.1', 'twist_class_level': 840, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 48935372
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 180143985128378472, 'source_is_minimal': False, 'source_label': '4200.2.a.bo.1.3', 'source_level': 4200, 'target_conrey_index': 1009, 'target_dim': 6, 'target_embedding_index': 5, 'target_hecke_orbit_code': 117094896015250352, 'target_is_minimal': False, 'target_label': '5040.2.t.ba.1009.5', 'target_level': 5040, 'twist_class_label': '840.2.t.e.169.1', 'twist_class_level': 840, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 48935373
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 180143985128378472, 'source_is_minimal': False, 'source_label': '4200.2.a.bo.1.3', 'source_level': 4200, 'target_conrey_index': 1009, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 117094896015250352, 'target_is_minimal': False, 'target_label': '5040.2.t.ba.1009.6', 'target_level': 5040, 'twist_class_label': '840.2.t.e.169.1', 'twist_class_level': 840, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3528025
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 180143985128378472, 'p': 2}
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id: 3528026
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 180143985128378472, 'p': 3}
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id: 3528027
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 180143985128378472, 'p': 5}
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id: 3528028
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 180143985128378472, 'p': 7}
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id: 3528029
{'charpoly_factorization': [[[8, -20, -2, 1], 1]], 'hecke_orbit_code': 180143985128378472, 'p': 11}
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id: 3528030
{'charpoly_factorization': [[[-8, -12, 2, 1], 1]], 'hecke_orbit_code': 180143985128378472, 'p': 13}
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id: 3528031
{'charpoly_factorization': [[[-16, -16, 0, 1], 1]], 'hecke_orbit_code': 180143985128378472, 'p': 17}
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id: 3528032
{'charpoly_factorization': [[[8, -12, -2, 1], 1]], 'hecke_orbit_code': 180143985128378472, 'p': 19}
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id: 3528033
{'charpoly_factorization': [[[-16, 8, 8, 1], 1]], 'hecke_orbit_code': 180143985128378472, 'p': 23}
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id: 3528034
{'charpoly_factorization': [[[104, -84, -2, 1], 1]], 'hecke_orbit_code': 180143985128378472, 'p': 29}
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id: 3528035
{'charpoly_factorization': [[[-8, -12, 2, 1], 1]], 'hecke_orbit_code': 180143985128378472, 'p': 31}
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id: 3528036
{'charpoly_factorization': [[[64, -48, -4, 1], 1]], 'hecke_orbit_code': 180143985128378472, 'p': 37}
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id: 3528037
{'charpoly_factorization': [[[-40, 52, -14, 1], 1]], 'hecke_orbit_code': 180143985128378472, 'p': 41}
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id: 3528038
{'charpoly_factorization': [[[-320, -16, 12, 1], 1]], 'hecke_orbit_code': 180143985128378472, 'p': 43}
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id: 3528039
{'charpoly_factorization': [[[-256, -64, 8, 1], 1]], 'hecke_orbit_code': 180143985128378472, 'p': 47}
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id: 3528040
{'charpoly_factorization': [[[-472, -28, 14, 1], 1]], 'hecke_orbit_code': 180143985128378472, 'p': 53}
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id: 3528041
{'charpoly_factorization': [[[256, -64, -8, 1], 1]], 'hecke_orbit_code': 180143985128378472, 'p': 59}
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id: 3528042
{'charpoly_factorization': [[[-536, -148, -2, 1], 1]], 'hecke_orbit_code': 180143985128378472, 'p': 61}
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id: 3528043
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 180143985128378472, 'p': 67}
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id: 3528044
{'charpoly_factorization': [[[200, -100, 6, 1], 1]], 'hecke_orbit_code': 180143985128378472, 'p': 71}
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id: 3528045
{'charpoly_factorization': [[[-760, -124, 6, 1], 1]], 'hecke_orbit_code': 180143985128378472, 'p': 73}
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id: 3528046
{'charpoly_factorization': [[[-64, 80, 20, 1], 1]], 'hecke_orbit_code': 180143985128378472, 'p': 79}
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id: 3528047
{'charpoly_factorization': [[[-256, -64, 8, 1], 1]], 'hecke_orbit_code': 180143985128378472, 'p': 83}
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id: 3528048
{'charpoly_factorization': [[[200, -60, -2, 1], 1]], 'hecke_orbit_code': 180143985128378472, 'p': 89}
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id: 3528049
{'charpoly_factorization': [[[344, 4, -14, 1], 1]], 'hecke_orbit_code': 180143985128378472, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 41, 'label': '4200.2.a.bo', 'level': 4200, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 273451000
{'hecke_orbit_code': 180143985128378472, 'n': 1, 'trace_an': 3}
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id: 273451001
{'hecke_orbit_code': 180143985128378472, 'n': 2, 'trace_an': 0}
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id: 273451002
{'hecke_orbit_code': 180143985128378472, 'n': 3, 'trace_an': -3}
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id: 273451003
{'hecke_orbit_code': 180143985128378472, 'n': 4, 'trace_an': 0}
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id: 273451004
{'hecke_orbit_code': 180143985128378472, 'n': 5, 'trace_an': 0}
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id: 273451005
{'hecke_orbit_code': 180143985128378472, 'n': 6, 'trace_an': 0}
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id: 273451006
{'hecke_orbit_code': 180143985128378472, 'n': 7, 'trace_an': -3}
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id: 273451007
{'hecke_orbit_code': 180143985128378472, 'n': 8, 'trace_an': 0}
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id: 273451008
{'hecke_orbit_code': 180143985128378472, 'n': 9, 'trace_an': 3}
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id: 273451009
{'hecke_orbit_code': 180143985128378472, 'n': 10, 'trace_an': 0}
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id: 273451010
{'hecke_orbit_code': 180143985128378472, 'n': 11, 'trace_an': 2}
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id: 273451011
{'hecke_orbit_code': 180143985128378472, 'n': 12, 'trace_an': 0}
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id: 273451012
{'hecke_orbit_code': 180143985128378472, 'n': 13, 'trace_an': -2}
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id: 273451013
{'hecke_orbit_code': 180143985128378472, 'n': 14, 'trace_an': 0}
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id: 273451014
{'hecke_orbit_code': 180143985128378472, 'n': 15, 'trace_an': 0}
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id: 273451015
{'hecke_orbit_code': 180143985128378472, 'n': 16, 'trace_an': 0}
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id: 273451016
{'hecke_orbit_code': 180143985128378472, 'n': 17, 'trace_an': 0}
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id: 273451017
{'hecke_orbit_code': 180143985128378472, 'n': 18, 'trace_an': 0}
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id: 273451018
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