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{'Nk2': 7392, 'analytic_conductor': 14.756354293532615, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, 1], [11, -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': [1848, 1, [463, 925, 617, 1585, 673], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 41, 'field_disc_factorization': [[41, 1]], 'field_poly': [-10, -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, [-10, -1, 1]], [13, [-10, 1, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81064793326225208, '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_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1848.2.a.s', 'level': 1848, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'minimal_twist': '1848.2.a.s', 'nf_label': '2.2.41.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+\\beta q^{5}-q^{7}+q^{9}+q^{11}-\\beta 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': '1848.2.a', 'trace_display': [0, 2, 1, -2], 'trace_hash': 1507841195861460288, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.051', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [1, 0], [0, 0], [0, 1], [0, 0], [-1, 0], [0, 0], [1, 0], [0, 0], [1, 0], [0, 0], [0, -1], [0, 0], [0, 1], [0, 0], [-2, 0], [0, 0], [-2, 1], [0, 0], [-1, 0], [0, 0], [8, 0], [0, 0], [5, 1], [0, 0], [1, 0], [0, 0], [4, 1], [0, 0], [0, -2], [0, 0], [1, 0], [0, 0], [0, -1], [0, 0], [8, -1], [0, 0], [0, -1], [0, 0], [2, 2], [0, 0], [4, 0], [0, 0], [0, 1], [0, 0], [-6, 1], [0, 0], [1, 0], [0, 0], [-2, 0], [0, 0], [2, 2], [0, 0], [0, 1], [0, 0], [-2, 1], [0, 0], [2, -3], [0, 0], [6, 0], [0, 0], [-1, 0], [0, 0], [-10, -1], [0, 0], [2, -3], [0, 0], [8, 0], [0, 0], [0, 0], [0, 0], [4, -3], [0, 0], [5, 1], [0, 0], [-1, 0], [0, 0], [0, -4], [0, 0], [1, 0], [0, 0], [-4, -2], [0, 0], [0, -2], [0, 0], [4, 1], [0, 0], [10, 0], [0, 0], [0, 1], [0, 0], [0, -2], [0, 0], [10, -1], [0, 0], [-2, 2], [0, 0], [1, 0], [0, 0]], 'ap': [[0, 0], [1, 0], [0, 1], [-1, 0], [1, 0], [0, -1], [-2, 0], [-2, 1], [8, 0], [4, 1], [0, -2], [8, -1], [2, 2], [4, 0], [-6, 1], [2, 2], [2, -3], [6, 0], [2, 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[0, -7], [16, -2], [8, 9], [40, 10], [8, 8]], 'char_orbit_index': 1, 'field_poly': [-10, -1, 1], 'hecke_orbit_code': 81064793326225208, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '1848.2.a.s', 'level': 1848, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [2, 2, 1, 2, 2, 1, 1, 3, 2, 2, 3, 2, 2, 3, 3, 1], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'ALdims_old': [17, 25, 24, 18, 26, 18, 20, 23, 20, 23, 24, 18, 22, 18, 16, 25], 'Nk2': 7392, 'analytic_conductor': 14.756354293532615, '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': [1848, 1, [463, 925, 617, 1585, 673], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 369, 'dim': 32, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 13], 'hecke_orbit_code': 33556280, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3], 'label': '1848.2.a', 'level': 1848, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'mf_dim': 400, 'mf_new_dim': 32, 'num_forms': 21, 'plus_dim': 14, 'prim_orbit_index': 1, 'relative_dim': 32, 'sturm_bound': 768, 'trace_bound': 13, 'trace_display': [0, 0, -8, 0], 'traces': [32, 0, 0, 0, -8, 0, 0, 0, 32, 0, 0, 0, -8, 0, 0, 0, -8, 0, 0, 0, 0, 0, 8, 0, 32, 0, 0, 0, 8, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 8, 0, -8, 0, 8, 0, 32, 0, 8, 0, 8, 0, 0, 0, 0, 0, 16, 0, 8, 0, 0, 0, -16, 0, 0, 0, 0, 0, -24, 0, 8, 0, 0, 0, 0, 0, 32, 0, 32, 0, -32, 0, -16, 0, 16, 0, -16, 0, -16, 0, 8, 0, -32, 0, -16, 0, 0, 0, -40, 0, -8, 0, 0, 0, -32, 0, -40, 0, 16, 0, -32, 0, 32, 0, -8, 0, 16, 0, 32, 0, 40, 0, -48, 0, -16, 0, 16, 0, -16, 0, 8, 0, 0, 0, 0, 0, 80, 0, 16, 0, 8, 0, 16, 0, 0, 0, -88, 0, 32, 0, -8, 0, 0, 0, -8, 0, 16, 0, 0, 0, 32, 0, 8, 0, -96, 0, 48, 0, 0, 0, -8, 0, 0, 0, 16, 0, 16, 0, -8, 0, 16, 0, 32, 0, 0, 0, 0, 0, 8, 0, 0, 0, 32, 0, -40, 0, 8, 0, 16, 0, 16, 0, 64, 0, 8, 0, -24, 0, 8, 0, 16, 0, 80, 0, -24, 0, 16, 0, -48, 0, 72, 0, 32, 0, -32, 0, -24, 0, 0, 0, 24, 0, -32, 0, 16, 0, 0, 0, 8, 0, 0, 0, -8, 0, 80, 0, -24, 0, -64, 0, 8, 0, 48, 0, -64, 0, 16, 0, 8, 0, -48, 0, 0, 0, -16, 0, -88, 0, -48, 0, 8, 0, 16, 0, -8, 0, 8, 0, -88, 0, 0, 0, 32, 0, -48, 0, 48, 0, -32, 0, 24, 0, 16, 0, 0, 0, -16, 0, 16, 0, -32, 0, 32, 0, -96, 0, 56, 0, 40, 0, -32, 0, 0, 0, -56, 0, 8, 0, -32, 0, 48, 0, 56, 0, -32, 0, -32, 0, -48, 0, 0, 0, -192, 0, 16, 0, 48, 0, 0, 0, 0, 0, 64, 0, -96, 0, 24, 0, 0, 0, 0, 0, -48, 0, 8, 0, 0, 0, 32, 0, 0, 0, 96, 0, -72, 0, 24, 0, 32, 0, -56, 0, 48, 0, 16, 0, -64, 0, -16, 0, -88, 0, 8, 0, 8, 0, -56, 0, -80, 0, -56, 0, -208, 0, 88, 0, 0, 0, -128, 0, 160, 0, -8, 0, 0, 0, -24, 0, -32, 0, -48, 0, -64, 0, -16, 0, 128, 0, 48, 0, 8, 0, 152, 0, -16, 0, 16, 0, -272, 0, 0, 0, -80, 0, 0, 0, 96, 0, 32, 0, -64, 0, 64, 0, 80, 0, -32, 0, 16, 0, 0, 0, 0, 0, -112, 0, 8, 0, 88, 0, -32, 0, -32, 0, 64, 0, 16, 0, 56, 0, -24, 0, 32, 0, 8, 0, -48, 0, -128, 0, 8, 0, 96, 0, 16, 0, 0, 0, -64, 0, -16, 0, 0, 0, 32, 0, 16, 0, 32, 0, -32, 0, -32, 0, 32, 0, 40, 0, 24, 0, 0, 0, 16, 0, 0, 0, 48, 0, -128, 0, -96, 0, 0, 0, -32, 0, -32, 0, 16, 0, 0, 0, 48, 0, -144, 0, 0, 0, -88, 0, 24, 0, 112, 0, 56, 0, 8, 0, 144, 0, 32, 0, 0, 0, 40, 0, -32, 0, 16, 0, -48, 0, 160, 0, 0, 0, -120, 0, -8, 0, -64, 0, 8, 0, -96, 0, 32, 0, -32, 0, 8, 0, -16, 0, 48, 0, -80, 0, -96, 0, -8, 0, -32, 0, 24, 0, -104, 0, -104, 0, 0, 0, -8, 0, 192, 0, -8, 0, 96, 0, 24, 0, -48, 0, 80, 0, 80, 0, 0, 0, -48, 0, 48, 0, -24, 0, 80, 0, 32, 0, 48, 0, -80, 0, -8, 0, -24, 0, -96, 0, -128, 0, -64, 0, 120, 0, 16, 0, 16, 0, -56, 0, -80, 0, 8, 0, 112, 0, 40, 0, -16, 0, -48, 0, -64, 0, 24, 0, 56, 0, 16, 0, 0, 0, -168, 0, 16, 0, -104, 0, 192, 0, -144, 0, 104, 0, 0, 0, 48, 0, 0, 0, -48, 0, -48, 0, -96, 0, -72, 0, -16, 0, 80, 0, 32, 0, 16, 0, 32, 0, 64, 0, -48, 0, -16, 0, 72, 0, -72, 0, 32, 0, 8, 0, 216, 0, 32, 0, 16, 0, -120, 0, 0, 0, -32, 0, 88, 0, 16, 0, 208, 0, 32, 0, -32, 0, 32, 0, -112, 0, 32, 0, 128, 0, -96, 0, 0, 0, -24, 0, -16, 0, -16, 0, 48, 0, 120, 0, -96, 0, 120, 0, -8, 0, 0, 0, -96, 0, -8, 0, 16, 0, 64, 0, 32, 0, -96, 0, -64, 0, 96, 0, 16, 0, 8, 0, -80, 0, -16, 0, 0, 0, -16, 0, -80, 0, -40, 0, -112, 0, 0, 0, 16, 0, 16, 0, -16, 0, 168, 0, -128, 0, 0, 0, 48, 0, -8, 0, -32, 0, -8, 0, 176, 0, 8, 0, 264, 0, -144, 0, 48, 0, 216, 0, 0, 0, -80, 0, 96, 0, 200, 0, -32, 0, 56, 0, -64, 0, 24, 0, -8, 0, -16, 0, 0, 0, 16, 0, 48, 0, -16, 0, 0, 0, 88, 0, 0, 0, -240, 0, 0, 0, 32, 0, 112, 0, -16, 0, 0, 0, 48, 0, 112, 0, -48, 0, -80, 0, -144, 0, 8, 0, 80, 0, -96, 0, -40, 0, -216, 0, 8, 0, -80, 0, 16, 0, 0, 0, 32, 0, 48, 0, 176, 0, -8, 0, 64, 0, 0, 0, 32, 0, 48, 0, -56, 0, -112, 0, 24, 0, -144, 0, 0, 0, -16, 0, 80, 0, 16, 0, 280, 0, -96, 0, 0, 0, -96, 0, 80, 0, -32, 0, 112, 0, -16, 0, 64, 0, -48, 0, -24, 0, -96, 0, 16, 0, 32, 0, -40, 0, -8, 0, -96, 0, 0, 0, 96, 0, 192, 0, -80, 0, 160, 0, 168, 0, 16, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 826041
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 19, 'source_is_minimal': True, 'source_label': '1848.2.a.s', 'source_level': 1848, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': True, 'target_label': '1848.2.a.s', 'target_level': 1848, 'twist_class_label': '1848.2.a.s', 'twist_class_level': 1848, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 826042
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 19, 'source_is_minimal': True, 'source_label': '1848.2.a.s', 'source_level': 1848, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '3696.2.a.bd', 'target_level': 3696, 'twist_class_label': '1848.2.a.s', 'twist_class_level': 1848, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 826043
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 19, 'source_is_minimal': True, 'source_label': '1848.2.a.s', 'source_level': 1848, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 29, 'target_is_minimal': False, 'target_label': '5544.2.a.bc', 'target_level': 5544, 'twist_class_label': '1848.2.a.s', 'twist_class_level': 1848, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2250725
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 81064793326225208, 'p': 2}
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id: 2250726
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 81064793326225208, 'p': 3}
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id: 2250727
{'charpoly_factorization': [[[-10, -1, 1], 1]], 'hecke_orbit_code': 81064793326225208, 'p': 5}
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id: 2250728
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 81064793326225208, 'p': 7}
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id: 2250729
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 81064793326225208, 'p': 11}
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id: 2250730
{'charpoly_factorization': [[[-10, 1, 1], 1]], 'hecke_orbit_code': 81064793326225208, 'p': 13}
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id: 2250731
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 81064793326225208, 'p': 17}
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id: 2250732
{'charpoly_factorization': [[[-8, 3, 1], 1]], 'hecke_orbit_code': 81064793326225208, 'p': 19}
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id: 2250733
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 81064793326225208, 'p': 23}
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id: 2250734
{'charpoly_factorization': [[[10, -9, 1], 1]], 'hecke_orbit_code': 81064793326225208, 'p': 29}
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id: 2250735
{'charpoly_factorization': [[[-40, 2, 1], 1]], 'hecke_orbit_code': 81064793326225208, 'p': 31}
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id: 2250736
{'charpoly_factorization': [[[46, -15, 1], 1]], 'hecke_orbit_code': 81064793326225208, 'p': 37}
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id: 2250737
{'charpoly_factorization': [[[-32, -6, 1], 1]], 'hecke_orbit_code': 81064793326225208, 'p': 41}
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id: 2250738
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 81064793326225208, 'p': 43}
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id: 2250739
{'charpoly_factorization': [[[20, 11, 1], 1]], 'hecke_orbit_code': 81064793326225208, 'p': 47}
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id: 2250740
{'charpoly_factorization': [[[-32, -6, 1], 1]], 'hecke_orbit_code': 81064793326225208, 'p': 53}
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id: 2250741
{'charpoly_factorization': [[[-92, -1, 1], 1]], 'hecke_orbit_code': 81064793326225208, 'p': 59}
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id: 2250742
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 81064793326225208, 'p': 61}
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id: 2250743
{'charpoly_factorization': [[[-92, -1, 1], 1]], 'hecke_orbit_code': 81064793326225208, 'p': 67}
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id: 2250744
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 81064793326225208, 'p': 71}
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id: 2250745
{'charpoly_factorization': [[[-86, -5, 1], 1]], 'hecke_orbit_code': 81064793326225208, 'p': 73}
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id: 2250746
{'charpoly_factorization': [[[-160, 4, 1], 1]], 'hecke_orbit_code': 81064793326225208, 'p': 79}
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id: 2250747
{'charpoly_factorization': [[[-16, 10, 1], 1]], 'hecke_orbit_code': 81064793326225208, 'p': 83}
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id: 2250748
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 81064793326225208, 'p': 89}
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id: 2250749
{'charpoly_factorization': [[[-40, 2, 1], 1]], 'hecke_orbit_code': 81064793326225208, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 19, 'label': '1848.2.a.s', 'level': 1848, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 62893669
{'hecke_orbit_code': 81064793326225208, 'n': 1, 'trace_an': 2}
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id: 62893670
{'hecke_orbit_code': 81064793326225208, 'n': 2, 'trace_an': 0}
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id: 62893671
{'hecke_orbit_code': 81064793326225208, 'n': 3, 'trace_an': 2}
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id: 62893672
{'hecke_orbit_code': 81064793326225208, 'n': 4, 'trace_an': 0}
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id: 62893673
{'hecke_orbit_code': 81064793326225208, 'n': 5, 'trace_an': 1}
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id: 62893674
{'hecke_orbit_code': 81064793326225208, 'n': 6, 'trace_an': 0}
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id: 62893675
{'hecke_orbit_code': 81064793326225208, 'n': 7, 'trace_an': -2}
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id: 62893676
{'hecke_orbit_code': 81064793326225208, 'n': 8, 'trace_an': 0}
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id: 62893677
{'hecke_orbit_code': 81064793326225208, 'n': 9, 'trace_an': 2}
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id: 62893678
{'hecke_orbit_code': 81064793326225208, 'n': 10, 'trace_an': 0}
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id: 62893679
{'hecke_orbit_code': 81064793326225208, 'n': 11, 'trace_an': 2}
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id: 62893680
{'hecke_orbit_code': 81064793326225208, 'n': 12, 'trace_an': 0}
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id: 62893681
{'hecke_orbit_code': 81064793326225208, 'n': 13, 'trace_an': -1}
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id: 62893682
{'hecke_orbit_code': 81064793326225208, 'n': 14, 'trace_an': 0}
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id: 62893683
{'hecke_orbit_code': 81064793326225208, 'n': 15, 'trace_an': 1}
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id: 62893684
{'hecke_orbit_code': 81064793326225208, 'n': 16, 'trace_an': 0}
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id: 62893685
{'hecke_orbit_code': 81064793326225208, 'n': 17, 'trace_an': -4}
-
id: 62893686
{'hecke_orbit_code': 81064793326225208, 'n': 18, 'trace_an': 0}
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id: 62893687
{'hecke_orbit_code': 81064793326225208, 'n': 19, 'trace_an': -3}
-
id: 62893688
{'hecke_orbit_code': 81064793326225208, 'n': 20, 'trace_an': 0}
-
id: 62893689
{'hecke_orbit_code': 81064793326225208, 'n': 21, 'trace_an': -2}
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id: 62893690
{'hecke_orbit_code': 81064793326225208, 'n': 22, 'trace_an': 0}
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id: 62893691
{'hecke_orbit_code': 81064793326225208, 'n': 23, 'trace_an': 16}
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id: 62893692
{'hecke_orbit_code': 81064793326225208, 'n': 24, 'trace_an': 0}
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