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mf_newforms • Show schema
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{'Nk2': 9360, 'analytic_conductor': 18.68499407297961, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 3, 'char_parity': 1, 'char_values': [2340, 3, [1171, 2081, 937, 1081], [3, 3, 3, 2]], 'cm_discs': [], 'conrey_index': 1621, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [9, 3, 1]], [11, [36, -6, 1]], [19, [0, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511898427296036, 'hecke_ring_generator_nbound': 23, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '2340.2.q.d', 'level': 2340, '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, 5, 13], 'level_radical': 390, 'minimal_twist': '780.2.q.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+q^{5}-3\\zeta_{6}q^{7}+(6-6\\zeta_{6})q^{11}+(-4+\\cdots)q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2340.2.q', 'trace_display': [0, 0, 2, -3], 'trace_hash': 1380394284980757601, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.031', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.034', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.279', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'Nk2': 9360, 'analytic_conductor': 18.68499407297961, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 3, 'char_parity': 1, 'char_values': [2340, 3, [1171, 2081, 937, 1081], [3, 3, 3, 2]], 'conrey_index': 1621, 'cusp_dim': 960, 'dim': 48, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 19], 'hecke_orbit_code': 1099545184548, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 4, 6, 6, 10, 10], 'label': '2340.2.q', 'level': 2340, '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, 5, 13], 'level_radical': 390, 'mf_dim': 1056, 'mf_new_dim': 48, 'num_forms': 11, 'prim_orbit_index': 3, 'relative_dim': 24, 'sturm_bound': 1008, 'trace_bound': 11, 'trace_display': [0, 0, 0, -2], 'traces': [48, 0, 0, 0, 0, 0, -2, 0, 0, 0, 4, 0, 0, 0, 0, 0, -2, 0, -4, 0, 0, 0, -2, 0, 48, 0, 0, 0, -4, 0, -24, 0, 0, 0, -6, 0, -6, 0, 0, 0, -4, 0, 6, 0, 0, 0, -56, 0, -24, 0, 0, 0, 8, 0, 8, 0, 0, 0, -8, 0, 20, 0, 0, 0, 8, 0, 22, 0, 0, 0, 24, 0, -32, 0, 0, 0, -12, 0, -32, 0, 0, 0, 48, 0, 6, 0, 0, 0, 32, 0, -12, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 72, 0, 0, 0, -38, 0, -16, 0, 0, 0, -26, 0, 6, 0, 0, 0, 12, 0, -28, 0, 0, 0, 0, 0, -2, 0, 0, 0, 32, 0, 66, 0, 0, 0, -22, 0, 24, 0, 0, 0, 106, 0, -8, 0, 0, 0, 40, 0, 120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, -10, 0, 0, 0, 10, 0, -84, 0, 0, 0, -70, 0, -2, 0, 0, 0, 8, 0, -24, 0, 0, 0, -22, 0, -68, 0, 0, 0, -36, 0, -54, 0, 0, 0, -18, 0, -4, 0, 0, 0, 52, 0, 24, 0, 0, 0, 16, 0, -4, 0, 0, 0, 2, 0, 20, 0, 0, 0, -12, 0, -86, 0, 0, 0, 38, 0, -16, 0, 0, 0, 40, 0, -8, 0, 0, 0, 168, 0, 16, 0, 0, 0, -8, 0, 6, 0, 0, 0, 32, 0, -22, 0, 0, 0, -18, 0, 16, 0, 0, 0, -54, 0, 24, 0, 0, 0, -36, 0, 12, 0, 0, 0, 4, 0, -30, 0, 0, 0, -96, 0, -2, 0, 0, 0, -44, 0, 12, 0, 0, 0, -34, 0, -20, 0, 0, 0, -20, 0, 88, 0, 0, 0, -20, 0, 56, 0, 0, 0, -104, 0, -72, 0, 0, 0, 40, 0, 4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, -18, 0, -32, 0, 0, 0, -28, 0, 44, 0, 0, 0, -70, 0, -40, 0, 0, 0, 34, 0, 36, 0, 0, 0, -64, 0, -12, 0, 0, 0, -8, 0, 2, 0, 0, 0, 8, 0, 14, 0, 0, 0, 18, 0, 8, 0, 0, 0, -70, 0, -12, 0, 0, 0, 40, 0, 248, 0, 0, 0, -8, 0, 6, 0, 0, 0, 76, 0, -124, 0, 0, 0, 18, 0, -116, 0, 0, 0, -154, 0, 72, 0, 0, 0, -76, 0, -24, 0, 0, 0, -2, 0, -138, 0, 0, 0, -16, 0, 98, 0, 0, 0, -124, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, -96, 0, 20, 0, 0, 0, 44, 0, 42, 0, 0, 0, 96, 0, -376, 0, 0, 0, -128, 0, -72, 0, 0, 0, -164, 0, -4, 0, 0, 0, -36, 0, 108, 0, 0, 0, -42, 0, 34, 0, 0, 0, 136, 0, -100, 0, 0, 0, -22, 0, -128, 0, 0, 0, -6, 0, 20, 0, 0, 0, -60, 0, -28, 0, 0, 0, 136, 0, 36, 0, 0, 0, 72, 0, 66, 0, 0, 0, -64, 0, -4, 0, 0, 0, 114, 0, 6, 0, 0, 0, -76, 0, 288, 0, 0, 0, 56, 0, -232, 0, 0, 0, 280, 0, 80, 0, 0, 0, 58, 0, -52, 0, 0, 0, -118, 0, 42, 0, 0, 0, -16, 0, 240, 0, 0, 0, -2, 0, -280, 0, 0, 0, 64, 0, 180, 0, 0, 0, -66, 0, 40, 0, 0, 0, 248, 0, 8, 0, 0, 0, 8, 0, 96, 0, 0, 0, 16, 0, -146, 0, 0, 0, -108, 0, -6, 0, 0, 0, 30, 0, 216, 0, 0, 0, -12, 0, 48, 0, 0, 0, -104, 0, 4, 0, 0, 0, 6, 0, -76, 0, 0, 0, 140, 0, -2, 0, 0, 0, 74, 0, -288, 0, 0, 0, -18, 0, 24, 0, 0, 0, 16, 0, -64, 0, 0, 0, 58, 0, -78, 0, 0, 0, -408, 0, 126, 0, 0, 0, 96, 0, -120, 0, 0, 0, 186, 0, 58, 0, 0, 0, -88, 0, 28, 0, 0, 0, -24, 0, -276, 0, 0, 0, -32, 0, -4, 0, 0, 0, 60, 0, -76, 0, 0, 0, -8, 0, -22, 0, 0, 0, 20, 0, -76, 0, 0, 0, -4, 0, -232, 0, 0, 0, 112, 0, 136, 0, 0, 0, 74, 0, 40, 0, 0, 0, 182, 0, 12, 0, 0, 0, 16, 0, -136, 0, 0, 0, -56, 0, -50, 0, 0, 0, -28, 0, 44, 0, 0, 0, -82, 0, 36, 0, 0, 0, -102, 0, -24, 0, 0, 0, -72, 0, -448, 0, 0, 0, -56, 0, 158, 0, 0, 0, -72, 0, 42, 0, 0, 0, 66, 0, 100, 0, 0, 0, -152, 0, -96, 0, 0, 0, 40, 0, -8, 0, 0, 0, 18, 0, 66, 0, 0, 0, -160, 0, 38, 0, 0, 0, 72, 0, 124, 0, 0, 0, -168, 0, -10, 0, 0, 0, 36, 0, -44, 0, 0, 0, 48, 0, -128, 0, 0, 0, 8, 0, 0, 0, 0, 0, 208, 0, 288, 0, 0, 0, -224, 0, -98, 0, 0, 0, -24, 0, 300, 0, 0, 0, -6, 0, -214, 0, 0, 0, 128, 0, -304, 0, 0, 0, 190, 0, 200, 0, 0, 0, 56, 0, -36, 0, 0, 0, -12, 0, -16, 0, 0, 0, 136, 0, -118, 0, 0, 0, 32, 0, -140, 0, 0, 0, -20, 0, -36, 0, 0, 0, 74, 0, -6, 0, 0, 0, 56, 0, -80, 0, 0, 0, -4, 0, -168, 0, 0, 0, 88, 0, -102, 0, 0, 0, 50, 0, 116, 0, 0, 0, -242, 0, 52, 0, 0, 0, 56, 0, 152, 0, 0, 0, -34, 0, 216, 0, 0, 0, 0, 0, 30, 0, 0, 0, -154, 0, 0, 0, 0, 0, 440, 0, 98, 0, 0, 0, -88, 0, 8, 0, 0, 0, 52, 0, 2, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 921131
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '2340.2.q.d', 'source_level': 2340, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '780.2.q.a', 'target_level': 780, 'twist_class_label': '780.2.q.a', 'twist_class_level': 780, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 921132
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '2340.2.q.d', 'source_level': 2340, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '780.2.q.a', 'target_level': 780, 'twist_class_label': '780.2.q.a', 'twist_class_level': 780, 'twisting_char_label': '39.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 921133
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '2340.2.q.d', 'source_level': 2340, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2340.2.q.d', 'target_level': 2340, 'twist_class_label': '780.2.q.a', 'twist_class_level': 780, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 921134
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '2340.2.q.d', 'source_level': 2340, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2340.2.q.d', 'target_level': 2340, 'twist_class_label': '780.2.q.a', 'twist_class_level': 780, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 921135
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '2340.2.q.d', 'source_level': 2340, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '3900.2.q.f', 'target_level': 3900, 'twist_class_label': '780.2.q.a', 'twist_class_level': 780, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 921136
{'conductor': 195, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '2340.2.q.d', 'source_level': 2340, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '3900.2.q.f', 'target_level': 3900, 'twist_class_label': '780.2.q.a', 'twist_class_level': 780, 'twisting_char_label': '195.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 921137
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '2340.2.q.d', 'source_level': 2340, 'target_char_orbit': 51, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '3900.2.by.a', 'target_level': 3900, 'twist_class_label': '780.2.q.a', 'twist_class_level': 780, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 921138
{'conductor': 195, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '2340.2.q.d', 'source_level': 2340, 'target_char_orbit': 51, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '3900.2.by.a', 'target_level': 3900, 'twist_class_label': '780.2.q.a', 'twist_class_level': 780, 'twisting_char_label': '195.bl', 'twisting_char_orbit': 38, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2588875
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511898427296036, 'p': 2}
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id: 2588876
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511898427296036, 'p': 3}
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id: 2588877
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 13511898427296036, 'p': 5}
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id: 2588878
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 13511898427296036, 'p': 7}
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id: 2588879
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 13511898427296036, 'p': 11}
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id: 2588880
{'charpoly_factorization': [[[13, 5, 1], 1]], 'hecke_orbit_code': 13511898427296036, 'p': 13}
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id: 2588881
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 13511898427296036, 'p': 17}
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id: 2588882
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511898427296036, 'p': 19}
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id: 2588883
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 13511898427296036, 'p': 23}
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id: 2588884
{'charpoly_factorization': [[[64, -8, 1], 1]], 'hecke_orbit_code': 13511898427296036, 'p': 29}
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id: 2588885
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 13511898427296036, 'p': 31}
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id: 2588886
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 13511898427296036, 'p': 37}
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id: 2588887
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 13511898427296036, 'p': 41}
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id: 2588888
{'charpoly_factorization': [[[121, 11, 1], 1]], 'hecke_orbit_code': 13511898427296036, 'p': 43}
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id: 2588889
{'charpoly_factorization': [[[12, 1], 2]], 'hecke_orbit_code': 13511898427296036, 'p': 47}
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id: 2588890
{'charpoly_factorization': [[[-12, 1], 2]], 'hecke_orbit_code': 13511898427296036, 'p': 53}
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id: 2588891
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511898427296036, 'p': 59}
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id: 2588892
{'charpoly_factorization': [[[225, 15, 1], 1]], 'hecke_orbit_code': 13511898427296036, 'p': 61}
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id: 2588893
{'charpoly_factorization': [[[25, -5, 1], 1]], 'hecke_orbit_code': 13511898427296036, 'p': 67}
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id: 2588894
{'charpoly_factorization': [[[64, 8, 1], 1]], 'hecke_orbit_code': 13511898427296036, 'p': 71}
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id: 2588895
{'charpoly_factorization': [[[5, 1], 2]], 'hecke_orbit_code': 13511898427296036, 'p': 73}
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id: 2588896
{'charpoly_factorization': [[[15, 1], 2]], 'hecke_orbit_code': 13511898427296036, 'p': 79}
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id: 2588897
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 13511898427296036, 'p': 83}
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id: 2588898
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 13511898427296036, 'p': 89}
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id: 2588899
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 13511898427296036, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 17, 'hecke_orbit': 4, 'label': '2340.2.q.d', 'level': 2340, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 37426489
{'hecke_orbit_code': 13511898427296036, 'n': 1, 'trace_an': 2}
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id: 37426490
{'hecke_orbit_code': 13511898427296036, 'n': 2, 'trace_an': 0}
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id: 37426491
{'hecke_orbit_code': 13511898427296036, 'n': 3, 'trace_an': 0}
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id: 37426492
{'hecke_orbit_code': 13511898427296036, 'n': 4, 'trace_an': 0}
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id: 37426493
{'hecke_orbit_code': 13511898427296036, 'n': 5, 'trace_an': 2}
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id: 37426494
{'hecke_orbit_code': 13511898427296036, 'n': 6, 'trace_an': 0}
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id: 37426495
{'hecke_orbit_code': 13511898427296036, 'n': 7, 'trace_an': -3}
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id: 37426496
{'hecke_orbit_code': 13511898427296036, 'n': 8, 'trace_an': 0}
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id: 37426497
{'hecke_orbit_code': 13511898427296036, 'n': 9, 'trace_an': 0}
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id: 37426498
{'hecke_orbit_code': 13511898427296036, 'n': 10, 'trace_an': 0}
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id: 37426499
{'hecke_orbit_code': 13511898427296036, 'n': 11, 'trace_an': 6}
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id: 37426500
{'hecke_orbit_code': 13511898427296036, 'n': 12, 'trace_an': 0}
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id: 37426501
{'hecke_orbit_code': 13511898427296036, 'n': 13, 'trace_an': -5}
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id: 37426502
{'hecke_orbit_code': 13511898427296036, 'n': 14, 'trace_an': 0}
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id: 37426503
{'hecke_orbit_code': 13511898427296036, 'n': 15, 'trace_an': 0}
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id: 37426504
{'hecke_orbit_code': 13511898427296036, 'n': 16, 'trace_an': 0}
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id: 37426505
{'hecke_orbit_code': 13511898427296036, 'n': 17, 'trace_an': 6}
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id: 37426506
{'hecke_orbit_code': 13511898427296036, 'n': 18, 'trace_an': 0}
-
id: 37426507
{'hecke_orbit_code': 13511898427296036, 'n': 19, 'trace_an': 0}
-
id: 37426508
{'hecke_orbit_code': 13511898427296036, 'n': 20, 'trace_an': 0}
-
id: 37426509
{'hecke_orbit_code': 13511898427296036, 'n': 21, 'trace_an': 0}
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id: 37426510
{'hecke_orbit_code': 13511898427296036, 'n': 22, 'trace_an': 0}
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id: 37426511
{'hecke_orbit_code': 13511898427296036, 'n': 23, 'trace_an': 2}
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