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{'Nk2': 7400, 'analytic_conductor': 14.772324373936872, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [5, 1], [37, 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': [1850, 1, [1777, 1001], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 1524, 'field_disc_factorization': [[2, 2], [3, 1], [127, 1]], 'field_poly': [1, -7, -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': [[3, [-1, -7, 1, 1]], [7, [-6, -2, 4, 1]]], 'hecke_orbit': 25, 'hecke_orbit_code': 108086391090448186, 'hecke_ring_generator_nbound': 3, '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': '1850.2.a.y', 'level': 1850, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 37], 'level_radical': 370, 'minimal_twist': '1850.2.a.y', 'nf_label': '3.3.1524.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}-\\beta _{1}q^{3}+q^{4}+\\beta _{1}q^{6}+(-1+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1850.2.a', 'trace_display': [-3, -1, 0, -4], 'trace_hash': 843780904353403633, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.827', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '19.203', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '192.153', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, 'traces': [3, -3, -1, 3, 0, 1, -4, -3, 6, 0, -5, -1, -8, 4, 0, 3, 7, -6, -1, 0, 16, 5, -4, 1, 0, 8, -13, -4, -14, 0, 6, -3, 1, -7, 0, 6, -3, 1, -12, 0, 19, -16, -16, -5, 0, 4, 0, -1, -1, 0, -17, -8, 6, 13, 0, 4, -15, 14, -8, 0, 12, -6, -22, 3, 0, -1, -3, 7, -28, 0, 8, -6, -13, 3, 0, -1, 6, 12, 2, 0, 15, -19, 19, 16, 0, 16, 34, 5, 1, 0, -4, -4, -32, 0, 0, 1, -14, 1, -44, 0, 12, 17, -12, 8, 0, -6, -17, -13, 12, 0, 1, -4, -1, 15, 0, -14, -2, 8, -24, 0, 10, -12, -5, 6, 0, 22, -32, -3, -38, 0, 12, 1, -14, 3, 0, -7, -11, 28, -17, 0, 0, -8, 14, 6, 0, 13, -43, -3, -18, 0, 8, 1, 28, -6, 0, -12, 16, -2, -30, 0, -24, -15, -49, 19, 0, -19, 10, -16, -3, 0, -22, -16, 2, -34, 0, -5, 46, -1, 3, 0, -30, 4, 40, 4, 0, 32, -11, 0, 46, 0, -10, -1, -3, 14, 0, -1, -4, 44, -22, 0, 17, -12, 48, -17, 0, 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-
mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [5, -1], [37, -1]], 11, 4], [[[2, -1], [5, -1], [37, 1]], 5, 3], [[[2, 1], [5, 1], [37, -1]], 8, 3], [[[2, -1], [5, 1], [37, -1]], 4, 4], [[[2, -1], [5, 1], [37, 1]], 8, 5], [[[2, 1], [5, -1], [37, 1]], 9, 4], [[[2, 1], [5, -1], [37, -1]], 5, 4], [[[2, 1], [5, 1], [37, 1]], 7, 4]], 'ALdims': [7, 8, 9, 5, 8, 4, 5, 11], 'Nk2': 7400, 'analytic_conductor': 14.772324373936872, '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': [1850, 1, [1777, 1001], [1, 1]], 'conrey_index': 1, 'cusp_dim': 273, 'dim': 57, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 33556282, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 5, 5], 'label': '1850.2.a', 'level': 1850, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 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mf_twists_cc • Show schema
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id: 48522750
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 108086391090448186, 'source_is_minimal': True, 'source_label': '1850.2.a.y.1.1', 'source_level': 1850, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 108086391090448186, 'target_is_minimal': True, 'target_label': '1850.2.a.y.1.1', 'target_level': 1850, 'twist_class_label': '1850.2.a.y.1.1', 'twist_class_level': 1850, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48522751
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 108086391090448186, 'source_is_minimal': True, 'source_label': '1850.2.a.y.1.1', 'source_level': 1850, 'target_conrey_index': 149, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 67554063163590458, 'target_is_minimal': False, 'target_label': '1850.2.b.p.149.3', 'target_level': 1850, 'twist_class_label': '1850.2.a.y.1.1', 'twist_class_level': 1850, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48522752
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 108086391090448186, 'source_is_minimal': True, 'source_label': '1850.2.a.y.1.1', 'source_level': 1850, 'target_conrey_index': 149, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 67554063163590458, 'target_is_minimal': False, 'target_label': '1850.2.b.p.149.4', 'target_level': 1850, 'twist_class_label': '1850.2.a.y.1.1', 'twist_class_level': 1850, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48522753
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 108086391090448186, 'source_is_minimal': True, 'source_label': '1850.2.a.y.1.1', 'source_level': 1850, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 126100789599930170, 'target_is_minimal': True, 'target_label': '1850.2.a.bc.1.3', 'target_level': 1850, 'twist_class_label': '1850.2.a.y.1.1', 'twist_class_level': 1850, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2252725
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 108086391090448186, 'p': 2}
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id: 2252726
{'charpoly_factorization': [[[-1, -7, 1, 1], 1]], 'hecke_orbit_code': 108086391090448186, 'p': 3}
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id: 2252727
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 108086391090448186, 'p': 5}
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id: 2252728
{'charpoly_factorization': [[[-6, -2, 4, 1], 1]], 'hecke_orbit_code': 108086391090448186, 'p': 7}
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id: 2252729
{'charpoly_factorization': [[[-51, -9, 5, 1], 1]], 'hecke_orbit_code': 108086391090448186, 'p': 11}
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id: 2252730
{'charpoly_factorization': [[[-2, 14, 8, 1], 1]], 'hecke_orbit_code': 108086391090448186, 'p': 13}
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id: 2252731
{'charpoly_factorization': [[[3, 9, -7, 1], 1]], 'hecke_orbit_code': 108086391090448186, 'p': 17}
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id: 2252732
{'charpoly_factorization': [[[11, -25, 1, 1], 1]], 'hecke_orbit_code': 108086391090448186, 'p': 19}
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id: 2252733
{'charpoly_factorization': [[[-48, -24, 4, 1], 1]], 'hecke_orbit_code': 108086391090448186, 'p': 23}
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id: 2252734
{'charpoly_factorization': [[[-24, 36, 14, 1], 1]], 'hecke_orbit_code': 108086391090448186, 'p': 29}
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id: 2252735
{'charpoly_factorization': [[[214, -36, -6, 1], 1]], 'hecke_orbit_code': 108086391090448186, 'p': 31}
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id: 2252736
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 108086391090448186, 'p': 37}
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id: 2252737
{'charpoly_factorization': [[[399, 51, -19, 1], 1]], 'hecke_orbit_code': 108086391090448186, 'p': 41}
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id: 2252738
{'charpoly_factorization': [[[-564, 4, 16, 1], 1]], 'hecke_orbit_code': 108086391090448186, 'p': 43}
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id: 2252739
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 108086391090448186, 'p': 47}
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id: 2252740
{'charpoly_factorization': [[[216, -84, -6, 1], 1]], 'hecke_orbit_code': 108086391090448186, 'p': 53}
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id: 2252741
{'charpoly_factorization': [[[84, -60, 8, 1], 1]], 'hecke_orbit_code': 108086391090448186, 'p': 59}
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id: 2252742
{'charpoly_factorization': [[[238, -18, -12, 1], 1]], 'hecke_orbit_code': 108086391090448186, 'p': 61}
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id: 2252743
{'charpoly_factorization': [[[17, -75, 3, 1], 1]], 'hecke_orbit_code': 108086391090448186, 'p': 67}
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id: 2252744
{'charpoly_factorization': [[[378, -54, -8, 1], 1]], 'hecke_orbit_code': 108086391090448186, 'p': 71}
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id: 2252745
{'charpoly_factorization': [[[-9, 31, 13, 1], 1]], 'hecke_orbit_code': 108086391090448186, 'p': 73}
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id: 2252746
{'charpoly_factorization': [[[-88, -100, -2, 1], 1]], 'hecke_orbit_code': 108086391090448186, 'p': 79}
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id: 2252747
{'charpoly_factorization': [[[-63, 75, -19, 1], 1]], 'hecke_orbit_code': 108086391090448186, 'p': 83}
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id: 2252748
{'charpoly_factorization': [[[147, -189, -1, 1], 1]], 'hecke_orbit_code': 108086391090448186, 'p': 89}
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id: 2252749
{'charpoly_factorization': [[[-8, -4, 14, 1], 1]], 'hecke_orbit_code': 108086391090448186, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 25, 'label': '1850.2.a.y', 'level': 1850, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 256957000
{'hecke_orbit_code': 108086391090448186, 'n': 1, 'trace_an': 3}
-
id: 256957001
{'hecke_orbit_code': 108086391090448186, 'n': 2, 'trace_an': -3}
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id: 256957002
{'hecke_orbit_code': 108086391090448186, 'n': 3, 'trace_an': -1}
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id: 256957003
{'hecke_orbit_code': 108086391090448186, 'n': 4, 'trace_an': 3}
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id: 256957004
{'hecke_orbit_code': 108086391090448186, 'n': 5, 'trace_an': 0}
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id: 256957005
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id: 256957006
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id: 256957007
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id: 256957008
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id: 256957009
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id: 256957010
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id: 256957011
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id: 256957012
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id: 256957013
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id: 256957014
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id: 256957015
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id: 256957016
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id: 256957017
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id: 256957018
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id: 256957019
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id: 256957020
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id: 256957021
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id: 256957022
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id: 256957023
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id: 256957024
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id: 256957025
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id: 256957026
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id: 256957027
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id: 256957028
{'hecke_orbit_code': 108086391090448186, 'n': 29, 'trace_an': -14}
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id: 256957029
{'hecke_orbit_code': 108086391090448186, 'n': 30, 'trace_an': 0}
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id: 256957030
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id: 256957031
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id: 256957032
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id: 256957033
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id: 256957034
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id: 256957035
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id: 256957036
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id: 256957037
{'hecke_orbit_code': 108086391090448186, 'n': 38, 'trace_an': 1}
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id: 256957038
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id: 256957039
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id: 256957040
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id: 256957041
{'hecke_orbit_code': 108086391090448186, 'n': 42, 'trace_an': -16}
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id: 256957042
{'hecke_orbit_code': 108086391090448186, 'n': 43, 'trace_an': -16}
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id: 256957043
{'hecke_orbit_code': 108086391090448186, 'n': 44, 'trace_an': -5}
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id: 256957044
{'hecke_orbit_code': 108086391090448186, 'n': 45, 'trace_an': 0}
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id: 256957045
{'hecke_orbit_code': 108086391090448186, 'n': 46, 'trace_an': 4}
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id: 256957046
{'hecke_orbit_code': 108086391090448186, 'n': 47, 'trace_an': 0}
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id: 256957047
{'hecke_orbit_code': 108086391090448186, 'n': 48, 'trace_an': -1}
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id: 256957048
{'hecke_orbit_code': 108086391090448186, 'n': 49, 'trace_an': -1}
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id: 256957049
{'hecke_orbit_code': 108086391090448186, 'n': 50, 'trace_an': 0}
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id: 256957050
{'hecke_orbit_code': 108086391090448186, 'n': 51, 'trace_an': -17}
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id: 256957051
{'hecke_orbit_code': 108086391090448186, 'n': 52, 'trace_an': -8}
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id: 256957052
{'hecke_orbit_code': 108086391090448186, 'n': 53, 'trace_an': 6}
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id: 256957053
{'hecke_orbit_code': 108086391090448186, 'n': 54, 'trace_an': 13}
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id: 256957054
{'hecke_orbit_code': 108086391090448186, 'n': 55, 'trace_an': 0}
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id: 256957055
{'hecke_orbit_code': 108086391090448186, 'n': 56, 'trace_an': 4}
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id: 256957056
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id: 256957057
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id: 256957058
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id: 256957059
{'hecke_orbit_code': 108086391090448186, 'n': 60, 'trace_an': 0}
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id: 256957060
{'hecke_orbit_code': 108086391090448186, 'n': 61, 'trace_an': 12}
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id: 256957061
{'hecke_orbit_code': 108086391090448186, 'n': 62, 'trace_an': -6}
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id: 256957062
{'hecke_orbit_code': 108086391090448186, 'n': 63, 'trace_an': -22}
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id: 256957063
{'hecke_orbit_code': 108086391090448186, 'n': 64, 'trace_an': 3}
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id: 256957064
{'hecke_orbit_code': 108086391090448186, 'n': 65, 'trace_an': 0}
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id: 256957065
{'hecke_orbit_code': 108086391090448186, 'n': 66, 'trace_an': -1}
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id: 256957066
{'hecke_orbit_code': 108086391090448186, 'n': 67, 'trace_an': -3}
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id: 256957067
{'hecke_orbit_code': 108086391090448186, 'n': 68, 'trace_an': 7}
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id: 256957068
{'hecke_orbit_code': 108086391090448186, 'n': 69, 'trace_an': -28}
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id: 256957069
{'hecke_orbit_code': 108086391090448186, 'n': 70, 'trace_an': 0}
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id: 256957070
{'hecke_orbit_code': 108086391090448186, 'n': 71, 'trace_an': 8}
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id: 256957071
{'hecke_orbit_code': 108086391090448186, 'n': 72, 'trace_an': -6}
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id: 256957072
{'hecke_orbit_code': 108086391090448186, 'n': 73, 'trace_an': -13}
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id: 256957073
{'hecke_orbit_code': 108086391090448186, 'n': 74, 'trace_an': 3}
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id: 256957074
{'hecke_orbit_code': 108086391090448186, 'n': 75, 'trace_an': 0}
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id: 256957075
{'hecke_orbit_code': 108086391090448186, 'n': 76, 'trace_an': -1}
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id: 256957076
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id: 256957077
{'hecke_orbit_code': 108086391090448186, 'n': 78, 'trace_an': 12}
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id: 256957078
{'hecke_orbit_code': 108086391090448186, 'n': 79, 'trace_an': 2}
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id: 256957079
{'hecke_orbit_code': 108086391090448186, 'n': 80, 'trace_an': 0}
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id: 256957080
{'hecke_orbit_code': 108086391090448186, 'n': 81, 'trace_an': 15}
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id: 256957081
{'hecke_orbit_code': 108086391090448186, 'n': 82, 'trace_an': -19}
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id: 256957082
{'hecke_orbit_code': 108086391090448186, 'n': 83, 'trace_an': 19}
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id: 256957083
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id: 256957084
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id: 256957085
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id: 256957086
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id: 256957087
{'hecke_orbit_code': 108086391090448186, 'n': 88, 'trace_an': 5}
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