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{'Nk2': 18240, 'analytic_conductor': 36.41178332170386, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, 1], [19, 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': [4560, 1, [1711, 1141, 3041, 2737, 1921], [1, 1, 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': [[7, [2, 4, 1]], [11, [-2, 0, 1]], [13, [14, -8, 1]], [17, [8, 8, 1]]], 'hecke_orbit': 36, 'hecke_orbit_code': 157625986991526352, 'hecke_ring_generator_nbound': 7, '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': '4560.2.a.bj', 'level': 4560, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'minimal_twist': '285.2.a.f', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}-q^{5}+(-2+\\beta )q^{7}+q^{9}-\\beta q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4560.2.a', 'trace_display': [0, 2, -2, -4], 'trace_hash': 2134509113499386400, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.886', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.177', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '63.781', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.030', 'prec': 17}, 'traces': [2, 0, 2, 0, -2, 0, -4, 0, 2, 0, 0, 0, 8, 0, -2, 0, -8, 0, -2, 0, -4, 0, -4, 0, 2, 0, 2, 0, -4, 0, 4, 0, 0, 0, 4, 0, 8, 0, 8, 0, -12, 0, -4, 0, -2, 0, -12, 0, -2, 0, -8, 0, 8, 0, 0, 0, -2, 0, 0, 0, 0, 0, -4, 0, -8, 0, -24, 0, -4, 0, -8, 0, -4, 0, 2, 0, -4, 0, 0, 0, 2, 0, 4, 0, 8, 0, -4, 0, -4, 0, -12, 0, 4, 0, 2, 0, 0, 0, 0, 0, -4, 0, -8, 0, 4, 0, -16, 0, 12, 0, 8, 0, 8, 0, 4, 0, 8, 0, 24, 0, -18, 0, -12, 0, -2, 0, -16, 0, -4, 0, -8, 0, 4, 0, -2, 0, -28, 0, -8, 0, -12, 0, -4, 0, 4, 0, -2, 0, 4, 0, 4, 0, -8, 0, -4, 0, -4, 0, 8, 0, -8, 0, 4, 0, 0, 0, -20, 0, 10, 0, -2, 0, 16, 0, -4, 0, 0, 0, -40, 0, -44, 0, 0, 0, -8, 0, -8, 0, -4, 0, 16, 0, -16, 0, -8, 0, -24, 0, 16, 0, -24, 0, -12, 0, 12, 0, -4, 0, 0, 0, 8, 0, -8, 0, 4, 0, -32, 0, -4, 0, -24, 0, -24, 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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], [-1, 0], [0, 0], [-2, 1], [0, 0], [1, 0], [0, 0], [0, -1], [0, 0], [4, 1], [0, 0], [-1, 0], [0, 0], [-4, 2], [0, 0], [-1, 0], [0, 0], [-2, 1], [0, 0], [-2, -4], [0, 0], [1, 0], [0, 0], [1, 0], [0, 0], [-2, -5], [0, 0], [2, -6], [0, 0], [0, -1], [0, 0], [2, -1], [0, 0], [4, 5], [0, 0], [4, 1], [0, 0], [-6, -1], [0, 0], [-2, 1], [0, 0], [-1, 0], [0, 0], [-6, 4], [0, 0], [-1, -4], [0, 0], [-4, 2], [0, 0], [4, 0], [0, 0], [0, 1], [0, 0], [-1, 0], [0, 0], [0, -6], [0, 0], [0, 4], [0, 0], [-2, 1], [0, 0], [-4, -1], [0, 0], [-12, 0], [0, 0], [-2, -4], [0, 0], [-4, 6], [0, 0], [-2, 0], [0, 0], [1, 0], [0, 0], [-2, 2], [0, 0], [0, 8], [0, 0], [1, 0], [0, 0], [2, 6], [0, 0], [4, -2], [0, 0], [-2, -5], [0, 0], [-2, 9], [0, 0], [-6, 2], [0, 0], [2, -6], [0, 0], [1, 0], [0, 0], [0, -3], [0, 0], [0, -1], [0, 0]], 'ap': [[0, 0], [1, 0], [-1, 0], [-2, 1], [0, -1], [4, 1], [-4, 2], [-1, 0], [-2, -4], [-2, -5], [2, -6], [4, 5], [-6, -1], [-2, 1], [-6, 4], [4, 0], 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[-50, 3], [20, -10], [-8, -5], [12, -11], [52, -6], [-76, -12], [-24, -14], [38, -4], [98, 0], [16, -16], [-28, -36], [-2, 24], [20, -16], [38, 23], [-40, -5], [-18, 8], [16, -52], [-8, 3], [-24, 50], [-8, -48], [10, 24], [-16, -6], [-48, -17]], 'char_orbit_index': 1, 'field_poly': [-2, 0, 1], 'hecke_orbit_code': 157625986991526352, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '4560.2.a.bj', 'level': 4560, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [19, -1]], 3, 2], [[[2, -1], [3, 1], [5, 1], [19, -1]], 4, 3], [[[2, -1], [3, 1], [5, 1], [19, 1]], 5, 5], [[[2, 1], [3, 1], [5, -1], [19, -1]], 3, 3], [[[2, 1], [3, -1], [5, -1], [19, 1]], 3, 3], [[[2, 1], [3, 1], [5, -1], [19, 1]], 6, 3], [[[2, -1], [3, 1], [5, -1], [19, 1]], 3, 2], [[[2, 1], [3, 1], [5, 1], [19, 1]], 4, 3], [[[2, -1], [3, 1], [5, -1], [19, -1]], 6, 4], [[[2, 1], [3, 1], [5, 1], [19, -1]], 5, 2], [[[2, 1], [3, -1], [5, -1], [19, -1]], 6, 3], [[[2, 1], [3, -1], [5, 1], [19, -1]], 4, 2], [[[2, -1], [3, -1], [5, 1], [19, -1]], 5, 4], [[[2, 1], [3, -1], [5, 1], [19, 1]], 5, 2], [[[2, -1], [3, -1], [5, -1], [19, 1]], 6, 4], [[[2, -1], [3, -1], [5, 1], [19, 1]], 4, 3]], 'ALdims': [4, 5, 6, 3, 5, 4, 3, 6, 5, 4, 3, 6, 4, 5, 6, 3], 'Nk2': 18240, 'analytic_conductor': 36.41178332170386, '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': [4560, 1, [1711, 1141, 3041, 2737, 1921], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 937, 'dim': 72, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17], 'hecke_orbit_code': 33558992, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3], 'label': '4560.2.a', 'level': 4560, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 19], 'level_radical': 570, 'mf_dim': 984, 'mf_new_dim': 72, 'num_forms': 48, 'plus_dim': 28, 'prim_orbit_index': 1, 'relative_dim': 72, 'sturm_bound': 1920, 'trace_bound': 13, 'trace_display': [0, 0, 0, -8], 'traces': [72, 0, 0, 0, 0, 0, -8, 0, 72, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 72, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 8, 0, 0, 0, 48, 0, 72, 0, 0, 0, 32, 0, -16, 0, 0, 0, 16, 0, 0, 0, -8, 0, 0, 0, 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0, 16, 0, 64, 0, 32, 0, -160, 0, -80, 0, -64, 0, 352, 0, 736, 0, -48, 0, -160, 0, -160, 0, 32, 0, 80, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 1211093
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '4560.2.a.bj', 'source_level': 4560, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '285.2.a.f', 'target_level': 285, 'twist_class_label': '285.2.a.f', 'twist_class_level': 285, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1211094
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '4560.2.a.bj', 'source_level': 4560, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '855.2.a.e', 'target_level': 855, 'twist_class_label': '285.2.a.f', 'twist_class_level': 285, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1211095
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '4560.2.a.bj', 'source_level': 4560, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1425.2.a.l', 'target_level': 1425, 'twist_class_label': '285.2.a.f', 'twist_class_level': 285, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1211096
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '4560.2.a.bj', 'source_level': 4560, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1425.2.c.j', 'target_level': 1425, 'twist_class_label': '285.2.a.f', 'twist_class_level': 285, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1211097
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '4560.2.a.bj', 'source_level': 4560, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '4275.2.a.x', 'target_level': 4275, 'twist_class_label': '285.2.a.f', 'twist_class_level': 285, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1211098
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '4560.2.a.bj', 'source_level': 4560, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '4560.2.a.bj', 'target_level': 4560, 'twist_class_label': '285.2.a.f', 'twist_class_level': 285, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1211099
{'conductor': 76, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 36, 'source_is_minimal': False, 'source_label': '4560.2.a.bj', 'source_level': 4560, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '5415.2.a.p', 'target_level': 5415, 'twist_class_label': '285.2.a.f', 'twist_class_level': 285, 'twisting_char_label': '76.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3634800
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 157625986991526352, 'p': 2}
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id: 3634801
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 157625986991526352, 'p': 3}
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id: 3634802
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 157625986991526352, 'p': 5}
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id: 3634803
{'charpoly_factorization': [[[2, 4, 1], 1]], 'hecke_orbit_code': 157625986991526352, 'p': 7}
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id: 3634804
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 157625986991526352, 'p': 11}
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id: 3634805
{'charpoly_factorization': [[[14, -8, 1], 1]], 'hecke_orbit_code': 157625986991526352, 'p': 13}
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id: 3634806
{'charpoly_factorization': [[[8, 8, 1], 1]], 'hecke_orbit_code': 157625986991526352, 'p': 17}
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id: 3634807
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 157625986991526352, 'p': 19}
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id: 3634808
{'charpoly_factorization': [[[-28, 4, 1], 1]], 'hecke_orbit_code': 157625986991526352, 'p': 23}
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id: 3634809
{'charpoly_factorization': [[[-46, 4, 1], 1]], 'hecke_orbit_code': 157625986991526352, 'p': 29}
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id: 3634810
{'charpoly_factorization': [[[-68, -4, 1], 1]], 'hecke_orbit_code': 157625986991526352, 'p': 31}
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id: 3634811
{'charpoly_factorization': [[[-34, -8, 1], 1]], 'hecke_orbit_code': 157625986991526352, 'p': 37}
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id: 3634812
{'charpoly_factorization': [[[34, 12, 1], 1]], 'hecke_orbit_code': 157625986991526352, 'p': 41}
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id: 3634813
{'charpoly_factorization': [[[2, 4, 1], 1]], 'hecke_orbit_code': 157625986991526352, 'p': 43}
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id: 3634814
{'charpoly_factorization': [[[4, 12, 1], 1]], 'hecke_orbit_code': 157625986991526352, 'p': 47}
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id: 3634815
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 157625986991526352, 'p': 53}
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id: 3634816
{'charpoly_factorization': [[[-72, 0, 1], 1]], 'hecke_orbit_code': 157625986991526352, 'p': 59}
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id: 3634817
{'charpoly_factorization': [[[-32, 0, 1], 1]], 'hecke_orbit_code': 157625986991526352, 'p': 61}
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id: 3634818
{'charpoly_factorization': [[[12, 1], 2]], 'hecke_orbit_code': 157625986991526352, 'p': 67}
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id: 3634819
{'charpoly_factorization': [[[-56, 8, 1], 1]], 'hecke_orbit_code': 157625986991526352, 'p': 71}
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id: 3634820
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 157625986991526352, 'p': 73}
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id: 3634821
{'charpoly_factorization': [[[-128, 0, 1], 1]], 'hecke_orbit_code': 157625986991526352, 'p': 79}
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id: 3634822
{'charpoly_factorization': [[[-68, -4, 1], 1]], 'hecke_orbit_code': 157625986991526352, 'p': 83}
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id: 3634823
{'charpoly_factorization': [[[-158, 4, 1], 1]], 'hecke_orbit_code': 157625986991526352, 'p': 89}
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id: 3634824
{'charpoly_factorization': [[[-18, 0, 1], 1]], 'hecke_orbit_code': 157625986991526352, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 36, 'label': '4560.2.a.bj', 'level': 4560, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 270238000
{'hecke_orbit_code': 157625986991526352, 'n': 1, 'trace_an': 2}
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id: 270238001
{'hecke_orbit_code': 157625986991526352, 'n': 2, 'trace_an': 0}
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id: 270238002
{'hecke_orbit_code': 157625986991526352, 'n': 3, 'trace_an': 2}
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id: 270238003
{'hecke_orbit_code': 157625986991526352, 'n': 4, 'trace_an': 0}
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id: 270238004
{'hecke_orbit_code': 157625986991526352, 'n': 5, 'trace_an': -2}
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id: 270238005
{'hecke_orbit_code': 157625986991526352, 'n': 6, 'trace_an': 0}
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id: 270238006
{'hecke_orbit_code': 157625986991526352, 'n': 7, 'trace_an': -4}
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id: 270238007
{'hecke_orbit_code': 157625986991526352, 'n': 8, 'trace_an': 0}
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id: 270238008
{'hecke_orbit_code': 157625986991526352, 'n': 9, 'trace_an': 2}
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id: 270238009
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id: 270238998
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id: 270238999
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