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{'Nk2': 20736, 'analytic_conductor': 41.39444840783175, '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': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [5184, 1, [2431, 325, 1217], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 33, 'field_disc_factorization': [[3, 1], [11, 1]], 'field_poly': [-8, -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': [[5, [-8, 1, 1]], [7, [-6, 3, 1]], [11, [1, 1]]], 'hecke_orbit': 41, 'hecke_orbit_code': 180143985128379456, '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': False, 'label': '5184.2.a.bo', 'level': 5184, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '72.2.i.b', 'nf_label': '2.2.33.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta q^{5}+(-2+\\beta )q^{7}-q^{11}+(-2+\\cdots)q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5184.2.a', 'trace_display': [0, 0, -1, -3], 'trace_hash': 1970956385107509647, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.014', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.964', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.181', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.817', 'prec': 17}, 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1]], 21, 11], [[[2, 1], [3, -1]], 25, 13], [[[2, -1], [3, 1]], 25, 16], [[[2, 1], [3, 1]], 21, 18]], 'ALdims': [21, 25, 25, 21], 'Nk2': 20736, 'analytic_conductor': 41.39444840783175, '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': [5184, 1, [2431, 325, 1217], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 793, 'dim': 92, 'eis_dim': 143, 'eis_new_dim': 8, 'hecke_cutter_primes': [5, 7, 11], 'hecke_orbit_code': 33559616, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4], 'label': '5184.2.a', 'level': 5184, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 936, 'mf_new_dim': 100, 'num_forms': 58, 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mf_twists_nf • Show schema
Hide schema
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id: 1245936
{'conductor': 72, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 41, 'source_is_minimal': False, 'source_label': '5184.2.a.bo', 'source_level': 5184, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '72.2.i.b', 'target_level': 72, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '72.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1245937
{'conductor': 72, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 41, 'source_is_minimal': False, 'source_label': '5184.2.a.bo', 'source_level': 5184, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '144.2.i.d', 'target_level': 144, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '72.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1245938
{'conductor': 72, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 41, 'source_is_minimal': False, 'source_label': '5184.2.a.bo', 'source_level': 5184, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '216.2.i.b', 'target_level': 216, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '72.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 1245939
{'conductor': 72, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 41, 'source_is_minimal': False, 'source_label': '5184.2.a.bo', 'source_level': 5184, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '432.2.i.d', 'target_level': 432, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '72.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 1245940
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 41, 'source_is_minimal': False, 'source_label': '5184.2.a.bo', 'source_level': 5184, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '576.2.i.j', 'target_level': 576, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1245941
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 41, 'source_is_minimal': False, 'source_label': '5184.2.a.bo', 'source_level': 5184, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '576.2.i.l', 'target_level': 576, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1245942
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 41, 'source_is_minimal': False, 'source_label': '5184.2.a.bo', 'source_level': 5184, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '648.2.a.f', 'target_level': 648, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1245943
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 41, 'source_is_minimal': False, 'source_label': '5184.2.a.bo', 'source_level': 5184, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '648.2.a.g', 'target_level': 648, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1245944
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 41, 'source_is_minimal': False, 'source_label': '5184.2.a.bo', 'source_level': 5184, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '1296.2.a.n', 'target_level': 1296, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1245945
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 41, 'source_is_minimal': False, 'source_label': '5184.2.a.bo', 'source_level': 5184, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1296.2.a.p', 'target_level': 1296, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1245946
{'conductor': 36, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 41, 'source_is_minimal': False, 'source_label': '5184.2.a.bo', 'source_level': 5184, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1728.2.i.i', 'target_level': 1728, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1245947
{'conductor': 9, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 41, 'source_is_minimal': False, 'source_label': '5184.2.a.bo', 'source_level': 5184, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1728.2.i.j', 'target_level': 1728, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1245948
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 41, 'source_is_minimal': False, 'source_label': '5184.2.a.bo', 'source_level': 5184, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 41, 'target_is_minimal': False, 'target_label': '5184.2.a.bo', 'target_level': 5184, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1245949
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 41, 'source_is_minimal': False, 'source_label': '5184.2.a.bo', 'source_level': 5184, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 42, 'target_is_minimal': False, 'target_label': '5184.2.a.bp', 'target_level': 5184, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1245950
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 41, 'source_is_minimal': False, 'source_label': '5184.2.a.bo', 'source_level': 5184, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 45, 'target_is_minimal': False, 'target_label': '5184.2.a.bs', 'target_level': 5184, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1245951
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 41, 'source_is_minimal': False, 'source_label': '5184.2.a.bo', 'source_level': 5184, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 46, 'target_is_minimal': False, 'target_label': '5184.2.a.bt', 'target_level': 5184, 'twist_class_label': '72.2.i.b', 'twist_class_level': 72, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3822450
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 180143985128379456, 'p': 2}
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id: 3822451
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 180143985128379456, 'p': 3}
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id: 3822452
{'charpoly_factorization': [[[-8, 1, 1], 1]], 'hecke_orbit_code': 180143985128379456, 'p': 5}
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id: 3822453
{'charpoly_factorization': [[[-6, 3, 1], 1]], 'hecke_orbit_code': 180143985128379456, 'p': 7}
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id: 3822454
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 180143985128379456, 'p': 11}
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id: 3822455
{'charpoly_factorization': [[[-2, 5, 1], 1]], 'hecke_orbit_code': 180143985128379456, 'p': 13}
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id: 3822456
{'charpoly_factorization': [[[-2, -5, 1], 1]], 'hecke_orbit_code': 180143985128379456, 'p': 17}
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id: 3822457
{'charpoly_factorization': [[[4, -7, 1], 1]], 'hecke_orbit_code': 180143985128379456, 'p': 19}
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id: 3822458
{'charpoly_factorization': [[[-2, -5, 1], 1]], 'hecke_orbit_code': 180143985128379456, 'p': 23}
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id: 3822459
{'charpoly_factorization': [[[-6, 3, 1], 1]], 'hecke_orbit_code': 180143985128379456, 'p': 29}
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id: 3822460
{'charpoly_factorization': [[[4, 7, 1], 1]], 'hecke_orbit_code': 180143985128379456, 'p': 31}
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id: 3822461
{'charpoly_factorization': [[[-24, 6, 1], 1]], 'hecke_orbit_code': 180143985128379456, 'p': 37}
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id: 3822462
{'charpoly_factorization': [[[3, -12, 1], 1]], 'hecke_orbit_code': 180143985128379456, 'p': 41}
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id: 3822463
{'charpoly_factorization': [[[-17, -8, 1], 1]], 'hecke_orbit_code': 180143985128379456, 'p': 43}
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id: 3822464
{'charpoly_factorization': [[[-6, -3, 1], 1]], 'hecke_orbit_code': 180143985128379456, 'p': 47}
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id: 3822465
{'charpoly_factorization': [[[-8, 10, 1], 1]], 'hecke_orbit_code': 180143985128379456, 'p': 53}
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id: 3822466
{'charpoly_factorization': [[[7, 1], 2]], 'hecke_orbit_code': 180143985128379456, 'p': 59}
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id: 3822467
{'charpoly_factorization': [[[-8, -1, 1], 1]], 'hecke_orbit_code': 180143985128379456, 'p': 61}
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id: 3822468
{'charpoly_factorization': [[[-29, -4, 1], 1]], 'hecke_orbit_code': 180143985128379456, 'p': 67}
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id: 3822469
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 180143985128379456, 'p': 71}
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id: 3822470
{'charpoly_factorization': [[[-62, 7, 1], 1]], 'hecke_orbit_code': 180143985128379456, 'p': 73}
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id: 3822471
{'charpoly_factorization': [[[4, -7, 1], 1]], 'hecke_orbit_code': 180143985128379456, 'p': 79}
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id: 3822472
{'charpoly_factorization': [[[148, 25, 1], 1]], 'hecke_orbit_code': 180143985128379456, 'p': 83}
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id: 3822473
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 180143985128379456, 'p': 89}
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id: 3822474
{'charpoly_factorization': [[[-17, 8, 1], 1]], 'hecke_orbit_code': 180143985128379456, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 41, 'label': '5184.2.a.bo', 'level': 5184, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 273502000
{'hecke_orbit_code': 180143985128379456, 'n': 1, 'trace_an': 2}
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id: 273502001
{'hecke_orbit_code': 180143985128379456, 'n': 2, 'trace_an': 0}
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id: 273502002
{'hecke_orbit_code': 180143985128379456, 'n': 3, 'trace_an': 0}
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id: 273502003
{'hecke_orbit_code': 180143985128379456, 'n': 4, 'trace_an': 0}
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id: 273502004
{'hecke_orbit_code': 180143985128379456, 'n': 5, 'trace_an': -1}
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id: 273502005
{'hecke_orbit_code': 180143985128379456, 'n': 6, 'trace_an': 0}
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id: 273502006
{'hecke_orbit_code': 180143985128379456, 'n': 7, 'trace_an': -3}
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id: 273502007
{'hecke_orbit_code': 180143985128379456, 'n': 8, 'trace_an': 0}
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id: 273502008
{'hecke_orbit_code': 180143985128379456, 'n': 9, 'trace_an': 0}
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id: 273502009
{'hecke_orbit_code': 180143985128379456, 'n': 10, 'trace_an': 0}
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id: 273502010
{'hecke_orbit_code': 180143985128379456, 'n': 11, 'trace_an': -2}
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id: 273502011
{'hecke_orbit_code': 180143985128379456, 'n': 12, 'trace_an': 0}
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id: 273502012
{'hecke_orbit_code': 180143985128379456, 'n': 13, 'trace_an': -5}
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id: 273502013
{'hecke_orbit_code': 180143985128379456, 'n': 14, 'trace_an': 0}
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id: 273502014
{'hecke_orbit_code': 180143985128379456, 'n': 15, 'trace_an': 0}
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id: 273502015
{'hecke_orbit_code': 180143985128379456, 'n': 16, 'trace_an': 0}
-
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{'hecke_orbit_code': 180143985128379456, 'n': 1000, 'trace_an': 0}