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mf_newforms • Show schema
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{'Nk2': 17136, 'analytic_conductor': 34.207912225916516, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, -1], [17, -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': [4284, 1, [2143, 3809, 1837, 1261], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 13, 'field_disc_factorization': [[13, 1]], 'field_poly': [-3, -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, [-1, -3, 1]], [11, [-12, 2, 1]], [13, [-4, 6, 1]]], 'hecke_orbit': 16, 'hecke_orbit_code': 67553994444116156, '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': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4284.2.a.p', 'level': 4284, '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, 17], 'level_radical': 714, 'minimal_twist': '476.2.a.a', 'nf_label': '2.2.13.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1+\\beta )q^{5}+q^{7}-2\\beta q^{11}+(-2-2\\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': '4284.2.a', 'trace_display': [0, 0, 3, 2], 'trace_hash': 429248111449277809, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.944', 'prec': 17}, 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mf_hecke_cc • Show schema
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{'ALdims': [0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 4, 4, 6, 6, 6, 6], 'Nk2': 17136, 'analytic_conductor': 34.207912225916516, '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': [4284, 1, [2143, 3809, 1837, 1261], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 841, 'dim': 40, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13], 'hecke_orbit_code': 33558716, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3], 'label': '4284.2.a', 'level': 4284, '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, 17], 'level_radical': 714, 'mf_dim': 888, 'mf_new_dim': 40, 'num_forms': 22, 'plus_dim': 20, 'prim_orbit_index': 1, 'relative_dim': 40, 'sturm_bound': 1728, 'trace_bound': 11, 'trace_display': [0, 0, 4, 0], 'traces': [40, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, 0, 4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 28, 0, 0, 0, -4, 0, -4, 0, 0, 0, -4, 0, -8, 0, 0, 0, 4, 0, -4, 0, 0, 0, 24, 0, 40, 0, 0, 0, -20, 0, -12, 0, 0, 0, -8, 0, -28, 0, 0, 0, -72, 0, -4, 0, 0, 0, 32, 0, -12, 0, 0, 0, 0, 0, -20, 0, 0, 0, -28, 0, 8, 0, 0, 0, 48, 0, 4, 0, 0, 0, 4, 0, -12, 0, 0, 0, -36, 0, 4, 0, 0, 0, 4, 0, 8, 0, 0, 0, 20, 0, -40, 0, 0, 0, 0, 0, 24, 0, 0, 0, -24, 0, 12, 0, 0, 0, 8, 0, 8, 0, 0, 0, 4, 0, 20, 0, 0, 0, -32, 0, -28, 0, 0, 0, -12, 0, 44, 0, 0, 0, -60, 0, -72, 0, 0, 0, -4, 0, -12, 0, 0, 0, -28, 0, 32, 0, 0, 0, -4, 0, 40, 0, 0, 0, 20, 0, -32, 0, 0, 0, 0, 0, -8, 0, 0, 0, 36, 0, 44, 0, 0, 0, 44, 0, 68, 0, 0, 0, 16, 0, -48, 0, 0, 0, 48, 0, 24, 0, 0, 0, 80, 0, -4, 0, 0, 0, -20, 0, 36, 0, 0, 0, 44, 0, -56, 0, 0, 0, -64, 0, -36, 0, 0, 0, 52, 0, -68, 0, 0, 0, 4, 0, -24, 0, 0, 0, 52, 0, -136, 0, 0, 0, -60, 0, -20, 0, 0, 0, 40, 0, 4, 0, 0, 0, -112, 0, 12, 0, 0, 0, -36, 0, 72, 0, 0, 0, 68, 0, -124, 0, 0, 0, 16, 0, 40, 0, 0, 0, 44, 0, 72, 0, 0, 0, 0, 0, -8, 0, 0, 0, -24, 0, 4, 0, 0, 0, 44, 0, -148, 0, 0, 0, 40, 0, 56, 0, 0, 0, -16, 0, 28, 0, 0, 0, -20, 0, -108, 0, 0, 0, -20, 0, 64, 0, 0, 0, 28, 0, 0, 0, 0, 0, -32, 0, -4, 0, 0, 0, 48, 0, -24, 0, 0, 0, -4, 0, 8, 0, 0, 0, -8, 0, -20, 0, 0, 0, -8, 0, -60, 0, 0, 0, -24, 0, -92, 0, 0, 0, 0, 0, 20, 0, 0, 0, 108, 0, 12, 0, 0, 0, 28, 0, -12, 0, 0, 0, 72, 0, -48, 0, 0, 0, -72, 0, -40, 0, 0, 0, -24, 0, 152, 0, 0, 0, 68, 0, 60, 0, 0, 0, -8, 0, 24, 0, 0, 0, -84, 0, -32, 0, 0, 0, -120, 0, 76, 0, 0, 0, 56, 0, 68, 0, 0, 0, 4, 0, -4, 0, 0, 0, -28, 0, 60, 0, 0, 0, -40, 0, 4, 0, 0, 0, 48, 0, 8, 0, 0, 0, -24, 0, 88, 0, 0, 0, -36, 0, -8, 0, 0, 0, -4, 0, 4, 0, 0, 0, -20, 0, -8, 0, 0, 0, 20, 0, -68, 0, 0, 0, -36, 0, 4, 0, 0, 0, 28, 0, -16, 0, 0, 0, 8, 0, 192, 0, 0, 0, 76, 0, -44, 0, 0, 0, 8, 0, 184, 0, 0, 0, 12, 0, 4, 0, 0, 0, -4, 0, 16, 0, 0, 0, 8, 0, 20, 0, 0, 0, -128, 0, 0, 0, 0, 0, -24, 0, -24, 0, 0, 0, 40, 0, -100, 0, 0, 0, 12, 0, 8, 0, 0, 0, 116, 0, 76, 0, 0, 0, -36, 0, -4, 0, 0, 0, 112, 0, 172, 0, 0, 0, 28, 0, 4, 0, 0, 0, 12, 0, 112, 0, 0, 0, 148, 0, 12, 0, 0, 0, -112, 0, 44, 0, 0, 0, -100, 0, -112, 0, 0, 0, -4, 0, 0, 0, 0, 0, -4, 0, -100, 0, 0, 0, 92, 0, 4, 0, 0, 0, 12, 0, -108, 0, 0, 0, 24, 0, 48, 0, 0, 0, -88, 0, -24, 0, 0, 0, -12, 0, -36, 0, 0, 0, 0, 0, 104, 0, 0, 0, 180, 0, -60, 0, 0, 0, -144, 0, -4, 0, 0, 0, -148, 0, 16, 0, 0, 0, -60, 0, 4, 0, 0, 0, -28, 0, 4, 0, 0, 0, 96, 0, -8, 0, 0, 0, -24, 0, 20, 0, 0, 0, -16, 0, 80, 0, 0, 0, 108, 0, 28, 0, 0, 0, -28, 0, 20, 0, 0, 0, 24, 0, -104, 0, 0, 0, 68, 0, -148, 0, 0, 0, 40, 0, 272, 0, 0, 0, -12, 0, 8, 0, 0, 0, 48, 0, -132, 0, 0, 0, -48, 0, -8, 0, 0, 0, -120, 0, -16, 0, 0, 0, -152, 0, -20, 0, 0, 0, -180, 0, 16, 0, 0, 0, -12, 0, -8, 0, 0, 0, 8, 0, -76, 0, 0, 0, 12, 0, -28, 0, 0, 0, 76, 0, 4, 0, 0, 0, -60, 0, -140, 0, 0, 0, -332, 0, -156, 0, 0, 0, -16, 0, -56, 0, 0, 0, -84, 0, -100, 0, 0, 0, 0, 0, 88, 0, 0, 0, -144, 0, 0, 0, 0, 0, -60, 0, -96, 0, 0, 0, -8, 0, -48, 0, 0, 0, -140, 0, -96, 0, 0, 0, -4, 0, -72, 0, 0, 0, -16, 0, -12, 0, 0, 0, -12, 0, -84, 0, 0, 0, 4, 0, -60, 0, 0, 0, 12, 0, 0, 0, 0, 0, 120, 0, -32, 0, 0, 0, -148, 0, 8, 0, 0, 0, 24, 0, 32, 0, 0, 0, -32, 0, 168, 0, 0, 0, 56, 0, 28, 0, 0, 0, 32, 0, -372, 0, 0, 0, 68, 0, 4, 0, 0, 0, 20, 0, -72, 0, 0, 0, 244, 0, 36, 0, 0, 0, -4, 0, -12, 0, 0, 0, 20, 0, 244, 0, 0, 0, 16, 0, 100, 0, 0, 0, -100, 0, -44, 0, 0, 0, 120, 0, -12, 0, 0, 0, -28, 0, 40, 0, 0, 0, -236, 0, -4, 0, 0, 0, 60, 0, -168, 0, 0, 0, 184, 0, 84, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47903534
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994444116156, 'source_is_minimal': False, 'source_label': '4284.2.a.p.1.1', 'source_level': 4284, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67553994444116156, 'target_is_minimal': False, 'target_label': '4284.2.a.p.1.1', 'target_level': 4284, 'twist_class_label': '476.2.a.a.1.1', 'twist_class_level': 476, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47903535
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994444116156, 'source_is_minimal': False, 'source_label': '4284.2.a.p.1.1', 'source_level': 4284, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33554908, 'target_is_minimal': True, 'target_label': '476.2.a.a.1.1', 'target_level': 476, 'twist_class_label': '476.2.a.a.1.1', 'twist_class_level': 476, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47903536
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994444116156, 'source_is_minimal': False, 'source_label': '4284.2.a.p.1.1', 'source_level': 4284, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539595934631792, 'target_is_minimal': False, 'target_label': '1904.2.a.l.1.2', 'target_level': 1904, 'twist_class_label': '476.2.a.a.1.1', 'twist_class_level': 476, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47903537
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994444116156, 'source_is_minimal': False, 'source_label': '4284.2.a.p.1.1', 'source_level': 4284, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58546795189374212, 'target_is_minimal': False, 'target_label': '3332.2.a.n.1.2', 'target_level': 3332, 'twist_class_label': '476.2.a.a.1.1', 'twist_class_level': 476, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 47903538
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994444116156, 'source_is_minimal': False, 'source_label': '4284.2.a.p.1.1', 'source_level': 4284, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 112589990717824448, 'target_is_minimal': False, 'target_label': '7616.2.a.z.1.2', 'target_level': 7616, 'twist_class_label': '476.2.a.a.1.1', 'twist_class_level': 476, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 47903539
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994444116156, 'source_is_minimal': False, 'source_label': '4284.2.a.p.1.1', 'source_level': 4284, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043195562008000, 'target_is_minimal': False, 'target_label': '7616.2.a.m.1.1', 'target_level': 7616, 'twist_class_label': '476.2.a.a.1.1', 'twist_class_level': 476, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47903540
{'conductor': 51, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 67553994444116156, 'source_is_minimal': False, 'source_label': '4284.2.a.p.1.1', 'source_level': 4284, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58546795189378972, 'target_is_minimal': False, 'target_label': '8092.2.a.n.1.2', 'target_level': 8092, 'twist_class_label': '476.2.a.a.1.1', 'twist_class_level': 476, 'twisting_char_label': '51.50', 'twisting_conrey_index': 50, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3553175
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 67553994444116156, 'p': 2}
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id: 3553176
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 67553994444116156, 'p': 3}
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id: 3553177
{'charpoly_factorization': [[[-1, -3, 1], 1]], 'hecke_orbit_code': 67553994444116156, 'p': 5}
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id: 3553178
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 67553994444116156, 'p': 7}
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id: 3553179
{'charpoly_factorization': [[[-12, 2, 1], 1]], 'hecke_orbit_code': 67553994444116156, 'p': 11}
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id: 3553180
{'charpoly_factorization': [[[-4, 6, 1], 1]], 'hecke_orbit_code': 67553994444116156, 'p': 13}
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id: 3553181
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 67553994444116156, 'p': 17}
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id: 3553182
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 67553994444116156, 'p': 19}
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id: 3553183
{'charpoly_factorization': [[[-12, 2, 1], 1]], 'hecke_orbit_code': 67553994444116156, 'p': 23}
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id: 3553184
{'charpoly_factorization': [[[12, -10, 1], 1]], 'hecke_orbit_code': 67553994444116156, 'p': 29}
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id: 3553185
{'charpoly_factorization': [[[69, 17, 1], 1]], 'hecke_orbit_code': 67553994444116156, 'p': 31}
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id: 3553186
{'charpoly_factorization': [[[-52, 0, 1], 1]], 'hecke_orbit_code': 67553994444116156, 'p': 37}
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id: 3553187
{'charpoly_factorization': [[[-81, 1, 1], 1]], 'hecke_orbit_code': 67553994444116156, 'p': 41}
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id: 3553188
{'charpoly_factorization': [[[3, 5, 1], 1]], 'hecke_orbit_code': 67553994444116156, 'p': 43}
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id: 3553189
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 67553994444116156, 'p': 47}
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id: 3553190
{'charpoly_factorization': [[[3, 5, 1], 1]], 'hecke_orbit_code': 67553994444116156, 'p': 53}
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id: 3553191
{'charpoly_factorization': [[[-48, -4, 1], 1]], 'hecke_orbit_code': 67553994444116156, 'p': 59}
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id: 3553192
{'charpoly_factorization': [[[3, 5, 1], 1]], 'hecke_orbit_code': 67553994444116156, 'p': 61}
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id: 3553193
{'charpoly_factorization': [[[17, -9, 1], 1]], 'hecke_orbit_code': 67553994444116156, 'p': 67}
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id: 3553194
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 67553994444116156, 'p': 71}
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id: 3553195
{'charpoly_factorization': [[[-61, 9, 1], 1]], 'hecke_orbit_code': 67553994444116156, 'p': 73}
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id: 3553196
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 67553994444116156, 'p': 79}
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id: 3553197
{'charpoly_factorization': [[[-48, 4, 1], 1]], 'hecke_orbit_code': 67553994444116156, 'p': 83}
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id: 3553198
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 67553994444116156, 'p': 89}
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id: 3553199
{'charpoly_factorization': [[[27, 15, 1], 1]], 'hecke_orbit_code': 67553994444116156, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 16, 'label': '4284.2.a.p', 'level': 4284, 'portrait': 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'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 60578893
{'hecke_orbit_code': 67553994444116156, 'n': 1, 'trace_an': 2}
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id: 60578894
{'hecke_orbit_code': 67553994444116156, 'n': 2, 'trace_an': 0}
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id: 60578895
{'hecke_orbit_code': 67553994444116156, 'n': 3, 'trace_an': 0}
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id: 60578896
{'hecke_orbit_code': 67553994444116156, 'n': 4, 'trace_an': 0}
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id: 60578897
{'hecke_orbit_code': 67553994444116156, 'n': 5, 'trace_an': 3}
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id: 60578898
{'hecke_orbit_code': 67553994444116156, 'n': 6, 'trace_an': 0}
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id: 60578899
{'hecke_orbit_code': 67553994444116156, 'n': 7, 'trace_an': 2}
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id: 60578900
{'hecke_orbit_code': 67553994444116156, 'n': 8, 'trace_an': 0}
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id: 60578901
{'hecke_orbit_code': 67553994444116156, 'n': 9, 'trace_an': 0}
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id: 60578902
{'hecke_orbit_code': 67553994444116156, 'n': 10, 'trace_an': 0}
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id: 60578903
{'hecke_orbit_code': 67553994444116156, 'n': 11, 'trace_an': -2}
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id: 60578904
{'hecke_orbit_code': 67553994444116156, 'n': 12, 'trace_an': 0}
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id: 60578905
{'hecke_orbit_code': 67553994444116156, 'n': 13, 'trace_an': -6}
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id: 60578906
{'hecke_orbit_code': 67553994444116156, 'n': 14, 'trace_an': 0}
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