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{'Nk2': 6080, 'analytic_conductor': 12.137261107234618, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 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': [1520, 1, [191, 1141, 1217, 401], [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': [[3, [-2, 0, 1]], [7, [-8, 0, 1]]], 'hecke_orbit': 13, 'hecke_orbit_code': 54043195562001904, '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': False, 'label': '1520.2.a.m', 'level': 1520, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 19], 'level_radical': 190, 'minimal_twist': '760.2.a.f', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta q^{3}-q^{5}+2\\beta q^{7}-q^{9}+(-2+2\\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': '1520.2.a', 'trace_display': [0, 0, -2, 0], 'trace_hash': 118016887460055818, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.100', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.022', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.266', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.864', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.603', 'prec': 17}, {'__RealLiteral__': 0, 'data': '64.728', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.035', 'prec': 17}, 'traces': [2, 0, 0, 0, -2, 0, 0, 0, -2, 0, -4, 0, 4, 0, 0, 0, 4, 0, 2, 0, 8, 0, -8, 0, 2, 0, 0, 0, 4, 0, 0, 0, 8, 0, 0, 0, 12, 0, 4, 0, 4, 0, 0, 0, 2, 0, 0, 0, 2, 0, 8, 0, 12, 0, 4, 0, 0, 0, 0, 0, 8, 0, 0, 0, -4, 0, 16, 0, 0, 0, -8, 0, -4, 0, 0, 0, 16, 0, 24, 0, -10, 0, -16, 0, -4, 0, -8, 0, -12, 0, 8, 0, 0, 0, -2, 0, 4, 0, 4, 0, 24, 0, -8, 0, -8, 0, 0, 0, -4, 0, 12, 0, -4, 0, 8, 0, -4, 0, 16, 0, 2, 0, -8, 0, -2, 0, 24, 0, -8, 0, 8, 0, 0, 0, 0, 0, -20, 0, 12, 0, 24, 0, 0, 0, -4, 0, 0, 0, -8, 0, 16, 0, -4, 0, 0, 0, -4, 0, 20, 0, 0, 0, -24, 0, -8, 0, -24, 0, -14, 0, -2, 0, 4, 0, 0, 0, -8, 0, 0, 0, 12, 0, -16, 0, -12, 0, 8, 0, -32, 0, 16, 0, -28, 0, -4, 0, 28, 0, 0, 0, 4, 0, -16, 0, -4, 0, 8, 0, -4, 0, 16, 0, -32, 0, 0, 0, 0, 0, 40, 0, 16, 0, -24, 0, -2, 0, 0, 0, 0, 0, -16, 0, -20, 0, 0, 0, -8, 0, -16, 0, -12, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [0, 1], [0, 0], [-1, 0], [0, 0], [0, 2], [0, 0], [-1, 0], [0, 0], [-2, 2], [0, 0], [2, 1], [0, 0], [0, -1], [0, 0], [2, 2], [0, 0], [1, 0], [0, 0], [4, 0], [0, 0], [-4, 0], [0, 0], [1, 0], [0, 0], [0, -4], [0, 0], [2, -2], [0, 0], [0, 0], [0, 0], [4, -2], [0, 0], [0, -2], [0, 0], [6, 3], [0, 0], [2, 2], [0, 0], [2, -2], [0, 0], [0, -2], [0, 0], [1, 0], [0, 0], [0, 6], [0, 0], [1, 0], [0, 0], [4, 2], [0, 0], [6, 5], [0, 0], [2, -2], [0, 0], [0, 1], [0, 0], [0, -2], [0, 0], [4, -4], [0, 0], [0, -2], [0, 0], [-2, -1], [0, 0], [8, 1], [0, 0], [0, -4], [0, 0], [-4, -8], [0, 0], [-2, 10], [0, 0], [0, 1], [0, 0], [8, -4], [0, 0], [12, -2], [0, 0], [-5, 0], [0, 0], [-8, 0], [0, 0], [-2, -2], [0, 0], [-4, 2], [0, 0], [-6, 2], [0, 0], [4, 4], [0, 0], [0, 0], [0, 0], [-1, 0], [0, 0], [2, -3], [0, 0], [2, -2], [0, 0]], 'ap': [[0, 0], [0, 1], [-1, 0], [0, 2], [-2, 2], [2, 1], [2, 2], [1, 0], [-4, 0], [2, -2], [0, 0], [6, 3], [2, -2], [0, -2], [0, 6], [6, 5], [0, -2], [4, 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28], [72, 15], [14, -30], [-18, -38], [-46, 0], [-60, 6], [-12, -11], [-26, -14], [12, 31], [22, 12], [62, 17], [-12, 26], [-52, -24], [-58, 7], [-70, -1], [32, -21], [28, -24], [60, 16], [-46, -2]], 'char_orbit_index': 1, 'field_poly': [-2, 0, 1], 'hecke_orbit_code': 54043195562001904, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '1520.2.a.m', 'level': 1520, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [5, 1], [19, -1]], 5, 2], [[[2, -1], [5, -1], [19, -1]], 7, 3], [[[2, 1], [5, -1], [19, -1]], 4, 4], [[[2, 1], [5, -1], [19, 1]], 4, 2], [[[2, 1], [5, 1], [19, 1]], 5, 2], [[[2, -1], [5, -1], [19, 1]], 3, 2], [[[2, -1], [5, 1], [19, 1]], 6, 3], [[[2, -1], [5, 1], [19, -1]], 2, 2]], 'ALdims': [5, 5, 4, 4, 6, 2, 3, 7], 'Nk2': 6080, 'analytic_conductor': 12.137261107234618, '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': [1520, 1, [191, 1141, 1217, 401], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 229, 'dim': 36, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 33555952, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4], 'label': '1520.2.a', 'level': 1520, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 19], 'level_radical': 190, 'mf_dim': 252, 'mf_new_dim': 36, 'num_forms': 20, 'plus_dim': 14, 'prim_orbit_index': 1, 'relative_dim': 36, 'sturm_bound': 480, 'trace_bound': 7, 'trace_display': [0, 0, 0, 4], 'traces': [36, 0, 0, 0, 0, 0, 4, 0, 36, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 20, 0, 36, 0, 24, 0, -8, 0, 0, 0, 0, 0, -12, 0, -16, 0, 0, 0, 0, 0, -4, 0, 8, 0, -4, 0, 36, 0, 16, 0, -16, 0, 8, 0, 0, 0, 16, 0, 0, 0, 60, 0, 0, 0, 40, 0, 40, 0, 0, 0, 0, 0, 0, 0, 16, 0, 16, 0, 28, 0, 4, 0, 0, 0, -24, 0, -8, 0, 64, 0, -16, 0, 8, 0, 0, 0, -40, 0, -40, 0, 48, 0, -8, 0, -16, 0, -16, 0, 56, 0, -32, 0, -12, 0, -16, 0, -80, 0, 20, 0, 48, 0, 0, 0, -8, 0, 8, 0, -8, 0, 0, 0, -24, 0, -32, 0, -48, 0, -40, 0, -24, 0, 16, 0, -32, 0, 16, 0, 32, 0, 24, 0, 16, 0, 0, 0, -32, 0, -16, 0, 28, 0, 0, 0, 0, 0, 84, 0, 0, 0, -48, 0, 4, 0, 56, 0, -64, 0, 24, 0, -72, 0, 0, 0, -48, 0, -16, 0, 0, 0, 0, 0, -8, 0, -96, 0, -56, 0, 32, 0, -40, 0, 24, 0, 76, 0, 0, 0, 32, 0, -128, 0, 4, 0, 32, 0, 80, 0, -32, 0, -24, 0, 36, 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mf_twists_nf • Show schema
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id: 749993
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '1520.2.a.m', 'source_level': 1520, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '760.2.a.f', 'target_level': 760, 'twist_class_label': '760.2.a.f', 'twist_class_level': 760, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 749994
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '1520.2.a.m', 'source_level': 1520, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1520.2.a.m', 'target_level': 1520, 'twist_class_label': '760.2.a.f', 'twist_class_level': 760, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 749995
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '1520.2.a.m', 'source_level': 1520, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '3800.2.a.n', 'target_level': 3800, 'twist_class_label': '760.2.a.f', 'twist_class_level': 760, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 749996
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '1520.2.a.m', 'source_level': 1520, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '3800.2.d.i', 'target_level': 3800, 'twist_class_label': '760.2.a.f', 'twist_class_level': 760, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 749997
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '1520.2.a.m', 'source_level': 1520, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 32, 'target_is_minimal': False, 'target_label': '6080.2.a.bf', 'target_level': 6080, 'twist_class_label': '760.2.a.f', 'twist_class_level': 760, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 749998
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '1520.2.a.m', 'source_level': 1520, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '6080.2.a.bg', 'target_level': 6080, 'twist_class_label': '760.2.a.f', 'twist_class_level': 760, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 749999
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '1520.2.a.m', 'source_level': 1520, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '6840.2.a.z', 'target_level': 6840, 'twist_class_label': '760.2.a.f', 'twist_class_level': 760, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 750000
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '1520.2.a.m', 'source_level': 1520, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '7600.2.a.ba', 'target_level': 7600, 'twist_class_label': '760.2.a.f', 'twist_class_level': 760, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2007125
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 54043195562001904, 'p': 2}
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id: 2007126
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 54043195562001904, 'p': 3}
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id: 2007127
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 54043195562001904, 'p': 5}
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id: 2007128
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 54043195562001904, 'p': 7}
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id: 2007129
{'charpoly_factorization': [[[-4, 4, 1], 1]], 'hecke_orbit_code': 54043195562001904, 'p': 11}
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id: 2007130
{'charpoly_factorization': [[[2, -4, 1], 1]], 'hecke_orbit_code': 54043195562001904, 'p': 13}
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id: 2007131
{'charpoly_factorization': [[[-4, -4, 1], 1]], 'hecke_orbit_code': 54043195562001904, 'p': 17}
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id: 2007132
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 54043195562001904, 'p': 19}
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id: 2007133
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 54043195562001904, 'p': 23}
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id: 2007134
{'charpoly_factorization': [[[-4, -4, 1], 1]], 'hecke_orbit_code': 54043195562001904, 'p': 29}
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id: 2007135
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 54043195562001904, 'p': 31}
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id: 2007136
{'charpoly_factorization': [[[18, -12, 1], 1]], 'hecke_orbit_code': 54043195562001904, 'p': 37}
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id: 2007137
{'charpoly_factorization': [[[-4, -4, 1], 1]], 'hecke_orbit_code': 54043195562001904, 'p': 41}
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id: 2007138
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 54043195562001904, 'p': 43}
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id: 2007139
{'charpoly_factorization': [[[-72, 0, 1], 1]], 'hecke_orbit_code': 54043195562001904, 'p': 47}
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id: 2007140
{'charpoly_factorization': [[[-14, -12, 1], 1]], 'hecke_orbit_code': 54043195562001904, 'p': 53}
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id: 2007141
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 54043195562001904, 'p': 59}
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id: 2007142
{'charpoly_factorization': [[[-16, -8, 1], 1]], 'hecke_orbit_code': 54043195562001904, 'p': 61}
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id: 2007143
{'charpoly_factorization': [[[62, -16, 1], 1]], 'hecke_orbit_code': 54043195562001904, 'p': 67}
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id: 2007144
{'charpoly_factorization': [[[-112, 8, 1], 1]], 'hecke_orbit_code': 54043195562001904, 'p': 71}
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id: 2007145
{'charpoly_factorization': [[[-196, 4, 1], 1]], 'hecke_orbit_code': 54043195562001904, 'p': 73}
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id: 2007146
{'charpoly_factorization': [[[136, -24, 1], 1]], 'hecke_orbit_code': 54043195562001904, 'p': 79}
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id: 2007147
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 54043195562001904, 'p': 83}
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id: 2007148
{'charpoly_factorization': [[[28, 12, 1], 1]], 'hecke_orbit_code': 54043195562001904, 'p': 89}
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id: 2007149
{'charpoly_factorization': [[[-14, -4, 1], 1]], 'hecke_orbit_code': 54043195562001904, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 13, 'label': '1520.2.a.m', 'level': 1520, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 221228000
{'hecke_orbit_code': 54043195562001904, 'n': 1, 'trace_an': 2}
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id: 221228001
{'hecke_orbit_code': 54043195562001904, 'n': 2, 'trace_an': 0}
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id: 221228002
{'hecke_orbit_code': 54043195562001904, 'n': 3, 'trace_an': 0}
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id: 221228003
{'hecke_orbit_code': 54043195562001904, 'n': 4, 'trace_an': 0}
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id: 221228004
{'hecke_orbit_code': 54043195562001904, 'n': 5, 'trace_an': -2}
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id: 221228005
{'hecke_orbit_code': 54043195562001904, 'n': 6, 'trace_an': 0}
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id: 221228006
{'hecke_orbit_code': 54043195562001904, 'n': 7, 'trace_an': 0}
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id: 221228007
{'hecke_orbit_code': 54043195562001904, 'n': 8, 'trace_an': 0}
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id: 221228008
{'hecke_orbit_code': 54043195562001904, 'n': 9, 'trace_an': -2}
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id: 221228009
{'hecke_orbit_code': 54043195562001904, 'n': 10, 'trace_an': 0}
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id: 221228010
{'hecke_orbit_code': 54043195562001904, 'n': 11, 'trace_an': -4}
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id: 221228011
{'hecke_orbit_code': 54043195562001904, 'n': 12, 'trace_an': 0}
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id: 221228012
{'hecke_orbit_code': 54043195562001904, 'n': 13, 'trace_an': 4}
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id: 221228013
{'hecke_orbit_code': 54043195562001904, 'n': 14, 'trace_an': 0}
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id: 221228014
{'hecke_orbit_code': 54043195562001904, 'n': 15, 'trace_an': 0}
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id: 221228015
{'hecke_orbit_code': 54043195562001904, 'n': 16, 'trace_an': 0}
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id: 221228016
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{'hecke_orbit_code': 54043195562001904, 'n': 999, 'trace_an': -48}
-
id: 221228999
{'hecke_orbit_code': 54043195562001904, 'n': 1000, 'trace_an': 0}