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{'Nk2': 8820, 'analytic_conductor': 17.607013645692323, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[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': [2205, 1, [1226, 442, 1081], [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': [[2, [-2, 0, 1]], [11, [1, -6, 1]], [13, [7, 6, 1]], [17, [-17, 2, 1]]], 'hecke_orbit': 22, 'hecke_orbit_code': 94575592208337053, 'hecke_ring_generator_nbound': 2, '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': '2205.2.a.v', 'level': 2205, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 7], 'level_radical': 105, 'minimal_twist': '245.2.a.e', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta q^{2}+q^{5}-2\\beta q^{8}+\\beta q^{10}+(3-2\\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': '2205.2.a', 'trace_display': [0, 0, 2, 0], 'trace_hash': 586136003396226667, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.981', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 1], [0, 0], [0, 0], [1, 0], [0, 0], [0, 0], [0, -2], [0, 0], [0, 1], [3, -2], [0, 0], [-3, -1], [0, 0], [0, 0], [-4, 0], [-1, 3], [0, 0], [-6, 0], [0, 0], [0, 0], [-4, 3], [-6, -1], [0, 0], [1, 0], [-2, -3], [0, 0], [0, 0], [3, 4], [0, 0], [-6, -3], [0, 0], [0, 0], [6, -1], [0, 0], [0, 0], [-2, 3], [0, -6], [0, 0], [0, -2], [-2, -3], [0, 0], [2, 0], [0, 0], [0, 0], [-2, -6], [-3, -3], [0, 0], [0, 0], [0, 1], [0, 0], [0, 0], [0, -3], [0, 0], [3, -2], [0, 0], [0, 0], [8, 3], [2, -3], [0, 0], [0, 2], [-6, -6], [0, 0], [8, 0], [-3, -1], [0, 0], [-4, -3], [0, 0], [0, 0], [0, 0], [6, -2], [0, 0], [0, 6], [6, -2], [0, 0], [0, 0], [0, 0], [0, 0], [-7, 6], [-4, 0], [0, 0], [-6, -2], [0, 0], [0, 0], [-1, 3], [0, 2], [0, 0], [8, -6], [-8, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-6, -3], [-6, 0], [0, 0], [-9, -3], [0, 0], [0, 0], [0, 0]], 'ap': [[0, 1], [0, 0], [1, 0], [0, 0], [3, -2], [-3, -1], [-1, 3], [-6, 0], [-6, -1], [3, 4], [-6, -3], [-2, 3], [-2, -3], [2, 0], [-3, -3], [0, 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48], [27, 25], [-30, -2], [42, 3], [-26, 30], [-2, 57], [-36, -42], [51, -24], [36, 18], [6, 30], [-33, 15], [-9, -20], [-42, -12], [54, 0], [-48, -30], [-27, -51], [-3, 21], [-12, -59], [12, 42], [-66, 5], [52, -12]], 'char_orbit_index': 1, 'field_poly': [-2, 0, 1], 'hecke_orbit_code': 94575592208337053, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '2205.2.a.v', 'level': 2205, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[3, -1], [5, -1], [7, -1]], 12, 8], [[[3, 1], [5, 1], [7, -1]], 7, 4], [[[3, 1], [5, -1], [7, -1]], 7, 4], [[[3, 1], [5, 1], [7, 1]], 7, 2], [[[3, -1], [5, -1], [7, 1]], 9, 4], [[[3, 1], [5, -1], [7, 1]], 7, 2], [[[3, -1], [5, 1], [7, -1]], 9, 6], [[[3, -1], [5, 1], [7, 1]], 11, 5]], 'ALdims': [7, 7, 7, 7, 11, 9, 9, 12], 'Nk2': 8820, 'analytic_conductor': 17.607013645692323, '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': [2205, 1, [1226, 442, 1081], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 305, 'dim': 69, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 11, 13, 17], 'hecke_orbit_code': 33556637, 'hecke_orbit_dims': [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, 3, 3, 3, 3, 4, 4, 4, 4], 'label': '2205.2.a', 'level': 2205, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 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mf_twists_nf • Show schema
Hide schema
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id: 894117
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '2205.2.a.v', 'source_level': 2205, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '245.2.a.e', 'target_level': 245, 'twist_class_label': '245.2.a.e', 'twist_class_level': 245, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 894118
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '2205.2.a.v', 'source_level': 2205, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '245.2.a.f', 'target_level': 245, 'twist_class_label': '245.2.a.e', 'twist_class_level': 245, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 894119
{'conductor': 21, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '2205.2.a.v', 'source_level': 2205, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '245.2.e.f', 'target_level': 245, 'twist_class_label': '245.2.a.e', 'twist_class_level': 245, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 894120
{'conductor': 21, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '2205.2.a.v', 'source_level': 2205, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '245.2.e.g', 'target_level': 245, 'twist_class_label': '245.2.a.e', 'twist_class_level': 245, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 894121
{'conductor': 105, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '2205.2.a.v', 'source_level': 2205, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1225.2.a.p', 'target_level': 1225, 'twist_class_label': '245.2.a.e', 'twist_class_level': 245, 'twisting_char_label': '105.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 894122
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '2205.2.a.v', 'source_level': 2205, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '1225.2.a.r', 'target_level': 1225, 'twist_class_label': '245.2.a.e', 'twist_class_level': 245, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 894123
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '2205.2.a.v', 'source_level': 2205, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1225.2.b.i', 'target_level': 1225, 'twist_class_label': '245.2.a.e', 'twist_class_level': 245, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 894124
{'conductor': 105, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '2205.2.a.v', 'source_level': 2205, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1225.2.b.j', 'target_level': 1225, 'twist_class_label': '245.2.a.e', 'twist_class_level': 245, 'twisting_char_label': '105.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 894125
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '2205.2.a.v', 'source_level': 2205, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '2205.2.a.t', 'target_level': 2205, 'twist_class_label': '245.2.a.e', 'twist_class_level': 245, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 894126
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '2205.2.a.v', 'source_level': 2205, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '2205.2.a.v', 'target_level': 2205, 'twist_class_label': '245.2.a.e', 'twist_class_level': 245, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 894127
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '2205.2.a.v', 'source_level': 2205, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 44, 'target_is_minimal': False, 'target_label': '3920.2.a.br', 'target_level': 3920, 'twist_class_label': '245.2.a.e', 'twist_class_level': 245, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 894128
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 22, 'source_is_minimal': False, 'source_label': '2205.2.a.v', 'source_level': 2205, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 49, 'target_is_minimal': False, 'target_label': '3920.2.a.bw', 'target_level': 3920, 'twist_class_label': '245.2.a.e', 'twist_class_level': 245, '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: 2495100
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 94575592208337053, 'p': 2}
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id: 2495101
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 94575592208337053, 'p': 3}
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id: 2495102
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 94575592208337053, 'p': 5}
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id: 2495103
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 94575592208337053, 'p': 7}
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id: 2495104
{'charpoly_factorization': [[[1, -6, 1], 1]], 'hecke_orbit_code': 94575592208337053, 'p': 11}
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id: 2495105
{'charpoly_factorization': [[[7, 6, 1], 1]], 'hecke_orbit_code': 94575592208337053, 'p': 13}
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id: 2495106
{'charpoly_factorization': [[[-17, 2, 1], 1]], 'hecke_orbit_code': 94575592208337053, 'p': 17}
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id: 2495107
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 94575592208337053, 'p': 19}
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id: 2495108
{'charpoly_factorization': [[[34, 12, 1], 1]], 'hecke_orbit_code': 94575592208337053, 'p': 23}
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id: 2495109
{'charpoly_factorization': [[[-23, -6, 1], 1]], 'hecke_orbit_code': 94575592208337053, 'p': 29}
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id: 2495110
{'charpoly_factorization': [[[18, 12, 1], 1]], 'hecke_orbit_code': 94575592208337053, 'p': 31}
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id: 2495111
{'charpoly_factorization': [[[-14, 4, 1], 1]], 'hecke_orbit_code': 94575592208337053, 'p': 37}
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id: 2495112
{'charpoly_factorization': [[[-14, 4, 1], 1]], 'hecke_orbit_code': 94575592208337053, 'p': 41}
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id: 2495113
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 94575592208337053, 'p': 43}
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id: 2495114
{'charpoly_factorization': [[[-9, 6, 1], 1]], 'hecke_orbit_code': 94575592208337053, 'p': 47}
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id: 2495115
{'charpoly_factorization': [[[-18, 0, 1], 1]], 'hecke_orbit_code': 94575592208337053, 'p': 53}
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id: 2495116
{'charpoly_factorization': [[[-14, -4, 1], 1]], 'hecke_orbit_code': 94575592208337053, 'p': 59}
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id: 2495117
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 94575592208337053, 'p': 61}
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id: 2495118
{'charpoly_factorization': [[[-2, 8, 1], 1]], 'hecke_orbit_code': 94575592208337053, 'p': 67}
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id: 2495119
{'charpoly_factorization': [[[28, -12, 1], 1]], 'hecke_orbit_code': 94575592208337053, 'p': 71}
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id: 2495120
{'charpoly_factorization': [[[-72, 0, 1], 1]], 'hecke_orbit_code': 94575592208337053, 'p': 73}
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id: 2495121
{'charpoly_factorization': [[[-23, 14, 1], 1]], 'hecke_orbit_code': 94575592208337053, 'p': 79}
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id: 2495122
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 94575592208337053, 'p': 83}
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id: 2495123
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 94575592208337053, 'p': 89}
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id: 2495124
{'charpoly_factorization': [[[63, 18, 1], 1]], 'hecke_orbit_code': 94575592208337053, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 22, 'label': '2205.2.a.v', 'level': 2205, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 251169000
{'hecke_orbit_code': 94575592208337053, 'n': 1, 'trace_an': 2}
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id: 251169001
{'hecke_orbit_code': 94575592208337053, 'n': 2, 'trace_an': 0}
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id: 251169002
{'hecke_orbit_code': 94575592208337053, 'n': 3, 'trace_an': 0}
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id: 251169003
{'hecke_orbit_code': 94575592208337053, 'n': 4, 'trace_an': 0}
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id: 251169004
{'hecke_orbit_code': 94575592208337053, 'n': 5, 'trace_an': 2}
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id: 251169005
{'hecke_orbit_code': 94575592208337053, 'n': 6, 'trace_an': 0}
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id: 251169006
{'hecke_orbit_code': 94575592208337053, 'n': 7, 'trace_an': 0}
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id: 251169007
{'hecke_orbit_code': 94575592208337053, 'n': 8, 'trace_an': 0}
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id: 251169008
{'hecke_orbit_code': 94575592208337053, 'n': 9, 'trace_an': 0}
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id: 251169009
{'hecke_orbit_code': 94575592208337053, 'n': 10, 'trace_an': 0}
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id: 251169010
{'hecke_orbit_code': 94575592208337053, 'n': 11, 'trace_an': 6}
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id: 251169011
{'hecke_orbit_code': 94575592208337053, 'n': 12, 'trace_an': 0}
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id: 251169012
{'hecke_orbit_code': 94575592208337053, 'n': 13, 'trace_an': -6}
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id: 251169013
{'hecke_orbit_code': 94575592208337053, 'n': 14, 'trace_an': 0}
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id: 251169014
{'hecke_orbit_code': 94575592208337053, 'n': 15, 'trace_an': 0}
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id: 251169015
{'hecke_orbit_code': 94575592208337053, 'n': 16, 'trace_an': -8}
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