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mf_newforms • Show schema
Hide schema
{'Nk2': 25600, 'analytic_conductor': 51.10425729361945, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, -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': [6400, 1, [4351, 4101, 5377], [1, 1, 1]], 'cm_discs': [-8], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 4, 'field_disc': 2304, 'field_disc_factorization': [[2, 8], [3, 2]], 'field_poly': [1, 0, -4, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 24, 'fricke_eigenval': 1, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [1, 0, -10, 0, 1]], [7, [0, 1]], [11, [625, 0, -58, 0, 1]], [13, [0, 1]], [17, [-15, 6, 1]], [29, [0, 1]], [31, [0, 1]]], 'hecke_orbit': 69, 'hecke_orbit_code': 306244774694754560, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 8, 'hecke_ring_index_factorization': [[2, 3]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 8, 4, -1, 2, -8], [1, 1, 8, 2, 1, 2, 0], [1, 1, 4, 2, -1, 2, 0]], 'is_cm': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': True, 'is_twist_minimal': False, 'label': '6400.2.a.cq', 'level': 6400, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'minimal_twist': '3200.2.d.n', 'nf_label': '4.4.2304.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{3}+(2+\\beta _{3})q^{9}+(-2\\beta _{1}-\\beta _{2}+\\cdots)q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.1.d1', 'self_twist_discs': [-8], 'self_twist_type': 1, 'space_label': '6400.2.a', 'trace_display': [0, 0, 0, 0], 'trace_hash': 630329049095380309, 'trace_moments': [{'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
Hide schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, 1], [5, 1]], 34, 19], [[[2, -1], [5, -1]], 36, 17], [[[2, 1], [5, -1]], 40, 18], [[[2, -1], [5, 1]], 36, 20]], 'ALdims': [34, 40, 36, 36], 'Nk2': 25600, 'analytic_conductor': 51.10425729361945, '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': [6400, 1, [4351, 4101, 5377], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 889, 'dim': 146, 'eis_dim': 143, 'eis_new_dim': 12, 'hecke_cutter_primes': [3, 7, 11, 13, 17, 29, 31], 'hecke_orbit_code': 33560832, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 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, 4, 4, 4, 4, 4, 4, 4], 'label': '6400.2.a', 'level': 6400, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 5], 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mf_twists_nf • Show schema
Hide schema
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id: 1303962
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 69, 'source_is_minimal': False, 'source_label': '6400.2.a.cq', 'source_level': 6400, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': True, 'target_label': '3200.2.d.n', 'target_level': 3200, 'twist_class_label': '3200.2.d.n', 'twist_class_level': 3200, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1303963
{'conductor': 16, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 69, 'source_is_minimal': False, 'source_label': '6400.2.a.cq', 'source_level': 6400, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': True, 'target_label': '3200.2.d.n', 'target_level': 3200, 'twist_class_label': '3200.2.d.n', 'twist_class_level': 3200, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1303964
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 69, 'source_is_minimal': False, 'source_label': '6400.2.a.cq', 'source_level': 6400, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 17, 'target_is_minimal': True, 'target_label': '3200.2.d.q', 'target_level': 3200, 'twist_class_label': '3200.2.d.n', 'twist_class_level': 3200, 'twisting_char_label': '80.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1303965
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 69, 'source_is_minimal': False, 'source_label': '6400.2.a.cq', 'source_level': 6400, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 17, 'target_is_minimal': True, 'target_label': '3200.2.d.q', 'target_level': 3200, 'twist_class_label': '3200.2.d.n', 'twist_class_level': 3200, 'twisting_char_label': '80.q', 'twisting_char_orbit': 17, 'weight': 2}
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id: 1303966
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 69, 'source_is_minimal': False, 'source_label': '6400.2.a.cq', 'source_level': 6400, 'target_char_orbit': 6, 'target_dim': 8, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '3200.2.f.s', 'target_level': 3200, 'twist_class_label': '3200.2.d.n', 'twist_class_level': 3200, 'twisting_char_label': '80.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1303967
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 69, 'source_is_minimal': False, 'source_label': '6400.2.a.cq', 'source_level': 6400, 'target_char_orbit': 6, 'target_dim': 8, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '3200.2.f.s', 'target_level': 3200, 'twist_class_label': '3200.2.d.n', 'twist_class_level': 3200, 'twisting_char_label': '80.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 1303968
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 69, 'source_is_minimal': False, 'source_label': '6400.2.a.cq', 'source_level': 6400, 'target_char_orbit': 6, 'target_dim': 8, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '3200.2.f.s', 'target_level': 3200, 'twist_class_label': '3200.2.d.n', 'twist_class_level': 3200, 'twisting_char_label': '80.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 1303969
{'conductor': 80, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 69, 'source_is_minimal': False, 'source_label': '6400.2.a.cq', 'source_level': 6400, 'target_char_orbit': 6, 'target_dim': 8, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '3200.2.f.s', 'target_level': 3200, 'twist_class_label': '3200.2.d.n', 'twist_class_level': 3200, 'twisting_char_label': '80.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 1303970
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 69, 'source_is_minimal': False, 'source_label': '6400.2.a.cq', 'source_level': 6400, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 69, 'target_is_minimal': False, 'target_label': '6400.2.a.cq', 'target_level': 6400, 'twist_class_label': '3200.2.d.n', 'twist_class_level': 3200, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1303971
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 69, 'source_is_minimal': False, 'source_label': '6400.2.a.cq', 'source_level': 6400, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 69, 'target_is_minimal': False, 'target_label': '6400.2.a.cq', 'target_level': 6400, 'twist_class_label': '3200.2.d.n', 'twist_class_level': 3200, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1303972
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 69, 'source_is_minimal': False, 'source_label': '6400.2.a.cq', 'source_level': 6400, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 69, 'target_is_minimal': False, 'target_label': '6400.2.a.cq', 'target_level': 6400, 'twist_class_label': '3200.2.d.n', 'twist_class_level': 3200, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1303973
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -8, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 69, 'source_is_minimal': False, 'source_label': '6400.2.a.cq', 'source_level': 6400, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 69, 'target_is_minimal': False, 'target_label': '6400.2.a.cq', 'target_level': 6400, 'twist_class_label': '3200.2.d.n', 'twist_class_level': 3200, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1303974
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 69, 'source_is_minimal': False, 'source_label': '6400.2.a.cq', 'source_level': 6400, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 70, 'target_is_minimal': False, 'target_label': '6400.2.a.cr', 'target_level': 6400, 'twist_class_label': '3200.2.d.n', 'twist_class_level': 3200, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1303975
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 69, 'source_is_minimal': False, 'source_label': '6400.2.a.cq', 'source_level': 6400, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 70, 'target_is_minimal': False, 'target_label': '6400.2.a.cr', 'target_level': 6400, 'twist_class_label': '3200.2.d.n', 'twist_class_level': 3200, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1303976
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 69, 'source_is_minimal': False, 'source_label': '6400.2.a.cq', 'source_level': 6400, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 70, 'target_is_minimal': False, 'target_label': '6400.2.a.cr', 'target_level': 6400, 'twist_class_label': '3200.2.d.n', 'twist_class_level': 3200, 'twisting_char_label': '40.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1303977
{'conductor': 40, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 69, 'source_is_minimal': False, 'source_label': '6400.2.a.cq', 'source_level': 6400, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 70, 'target_is_minimal': False, 'target_label': '6400.2.a.cr', 'target_level': 6400, 'twist_class_label': '3200.2.d.n', 'twist_class_level': 3200, 'twisting_char_label': '40.f', 'twisting_char_orbit': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4175125
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 306244774694754560, 'p': 2}
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id: 4175126
{'charpoly_factorization': [[[1, 0, -10, 0, 1], 1]], 'hecke_orbit_code': 306244774694754560, 'p': 3}
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id: 4175127
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 306244774694754560, 'p': 5}
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id: 4175128
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 306244774694754560, 'p': 7}
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id: 4175129
{'charpoly_factorization': [[[625, 0, -58, 0, 1], 1]], 'hecke_orbit_code': 306244774694754560, 'p': 11}
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id: 4175130
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 306244774694754560, 'p': 13}
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id: 4175131
{'charpoly_factorization': [[[-15, 6, 1], 2]], 'hecke_orbit_code': 306244774694754560, 'p': 17}
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id: 4175132
{'charpoly_factorization': [[[225, 0, -42, 0, 1], 1]], 'hecke_orbit_code': 306244774694754560, 'p': 19}
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id: 4175133
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 306244774694754560, 'p': 23}
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id: 4175134
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 306244774694754560, 'p': 29}
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id: 4175135
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 306244774694754560, 'p': 31}
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id: 4175136
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 306244774694754560, 'p': 37}
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id: 4175137
{'charpoly_factorization': [[[-87, 6, 1], 2]], 'hecke_orbit_code': 306244774694754560, 'p': 41}
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id: 4175138
{'charpoly_factorization': [[[-72, 0, 1], 2]], 'hecke_orbit_code': 306244774694754560, 'p': 43}
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id: 4175139
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 306244774694754560, 'p': 47}
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id: 4175140
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 306244774694754560, 'p': 53}
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id: 4175141
{'charpoly_factorization': [[[-200, 0, 1], 2]], 'hecke_orbit_code': 306244774694754560, 'p': 59}
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id: 4175142
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 306244774694754560, 'p': 61}
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id: 4175143
{'charpoly_factorization': [[[16641, 0, -330, 0, 1], 1]], 'hecke_orbit_code': 306244774694754560, 'p': 67}
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id: 4175144
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 306244774694754560, 'p': 71}
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id: 4175145
{'charpoly_factorization': [[[-215, 2, 1], 2]], 'hecke_orbit_code': 306244774694754560, 'p': 73}
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id: 4175146
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 306244774694754560, 'p': 79}
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id: 4175147
{'charpoly_factorization': [[[58081, 0, -490, 0, 1], 1]], 'hecke_orbit_code': 306244774694754560, 'p': 83}
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id: 4175148
{'charpoly_factorization': [[[57, 18, 1], 2]], 'hecke_orbit_code': 306244774694754560, 'p': 89}
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id: 4175149
{'charpoly_factorization': [[[10, 1], 4]], 'hecke_orbit_code': 306244774694754560, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 69, 'label': '6400.2.a.cq', 'level': 6400, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 280271000
{'hecke_orbit_code': 306244774694754560, 'n': 1, 'trace_an': 4}
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id: 280271001
{'hecke_orbit_code': 306244774694754560, 'n': 2, 'trace_an': 0}
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id: 280271002
{'hecke_orbit_code': 306244774694754560, 'n': 3, 'trace_an': 0}
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id: 280271003
{'hecke_orbit_code': 306244774694754560, 'n': 4, 'trace_an': 0}
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id: 280271004
{'hecke_orbit_code': 306244774694754560, 'n': 5, 'trace_an': 0}
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id: 280271005
{'hecke_orbit_code': 306244774694754560, 'n': 6, 'trace_an': 0}
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id: 280271006
{'hecke_orbit_code': 306244774694754560, 'n': 7, 'trace_an': 0}
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id: 280271007
{'hecke_orbit_code': 306244774694754560, 'n': 8, 'trace_an': 0}
-
id: 280271008
{'hecke_orbit_code': 306244774694754560, 'n': 9, 'trace_an': 8}
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id: 280271009
{'hecke_orbit_code': 306244774694754560, 'n': 10, 'trace_an': 0}
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id: 280271010
{'hecke_orbit_code': 306244774694754560, 'n': 11, 'trace_an': 0}
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id: 280271011
{'hecke_orbit_code': 306244774694754560, 'n': 12, 'trace_an': 0}
-
id: 280271012
{'hecke_orbit_code': 306244774694754560, 'n': 13, 'trace_an': 0}
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id: 280271013
{'hecke_orbit_code': 306244774694754560, 'n': 14, 'trace_an': 0}
-
id: 280271014
{'hecke_orbit_code': 306244774694754560, 'n': 15, 'trace_an': 0}
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id: 280271015
{'hecke_orbit_code': 306244774694754560, 'n': 16, 'trace_an': 0}
-
id: 280271016
{'hecke_orbit_code': 306244774694754560, 'n': 17, 'trace_an': -12}
-
id: 280271017
{'hecke_orbit_code': 306244774694754560, 'n': 18, 'trace_an': 0}
-
id: 280271018
{'hecke_orbit_code': 306244774694754560, 'n': 19, 'trace_an': 0}
-
id: 280271019
{'hecke_orbit_code': 306244774694754560, 'n': 20, 'trace_an': 0}
-
id: 280271020
{'hecke_orbit_code': 306244774694754560, 'n': 21, 'trace_an': 0}
-
id: 280271021
{'hecke_orbit_code': 306244774694754560, 'n': 22, 'trace_an': 0}
-
id: 280271022
{'hecke_orbit_code': 306244774694754560, 'n': 23, 'trace_an': 0}
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