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mf_newforms • Show schema
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{'Nk2': 700, 'analytic_conductor': 1.3973820353724067, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[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': [175, 1, [127, 101], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 5, 'field_disc_factorization': [[5, 1]], 'field_poly': [-1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 10, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-1, 1, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510798915666095, '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_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '175.2.a.d', 'level': 175, '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': [5, 7], 'level_radical': 35, 'minimal_twist': '175.2.a.d', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta q^{2}+(2-2\\beta )q^{3}+(-1+\\beta )q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '175.2.a', 'trace_display': [-1, 2, 0, -2], 'trace_hash': 345682106329434300, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.039', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.971', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.297', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.439', 'prec': 17}, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'ALdims': [1, 4, 3, 1], 'Nk2': 700, 'analytic_conductor': 1.3973820353724067, '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': [175, 1, [127, 101], [1, 1]], 'conrey_index': 1, 'cusp_dim': 15, 'dim': 9, 'eis_dim': 11, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 33554607, 'hecke_orbit_dims': [1, 1, 1, 2, 2, 2], 'label': '175.2.a', 'level': 175, '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': [5, 7], 'level_radical': 35, 'mf_dim': 26, 'mf_new_dim': 9, 'num_forms': 6, 'plus_dim': 2, 'prim_orbit_index': 1, 'relative_dim': 9, 'sturm_bound': 40, 'trace_bound': 3, 'trace_display': [1, 0, 0, 1], 'traces': [9, 1, 0, 5, 0, 4, 1, 9, 9, 0, 0, -4, -10, -1, 0, -7, 2, -7, -4, 0, -4, -8, 8, -24, 0, -2, 12, 7, 14, 0, -12, 9, 12, -2, 0, 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'weight_parity': 1}
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mf_twists_cc • Show schema
Hide schema
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id: 42576066
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666095, 'source_is_minimal': True, 'source_label': '175.2.a.d.1.2', 'source_level': 175, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13510798915666095, 'target_is_minimal': True, 'target_label': '175.2.a.d.1.2', 'target_level': 175, 'twist_class_label': '175.2.a.d.1.2', 'twist_class_level': 175, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 42576067
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666095, 'source_is_minimal': True, 'source_label': '175.2.a.d.1.2', 'source_level': 175, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81064793326224935, 'target_is_minimal': False, 'target_label': '1575.2.a.s.1.1', 'target_level': 1575, 'twist_class_label': '175.2.a.d.1.2', 'twist_class_level': 175, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 42576068
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666095, 'source_is_minimal': True, 'source_label': '175.2.a.d.1.2', 'source_level': 175, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 148618787736783600, 'target_is_minimal': False, 'target_label': '2800.2.a.bh.1.1', 'target_level': 2800, 'twist_class_label': '175.2.a.d.1.2', 'twist_class_level': 175, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 42576069
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666095, 'source_is_minimal': True, 'source_label': '175.2.a.d.1.2', 'source_level': 175, 'target_conrey_index': 99, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9007268007772335, 'target_is_minimal': False, 'target_label': '175.2.b.c.99.3', 'target_level': 175, 'twist_class_label': '175.2.a.d.1.2', 'twist_class_level': 175, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 42576070
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666095, 'source_is_minimal': True, 'source_label': '175.2.a.d.1.2', 'source_level': 175, 'target_conrey_index': 99, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9007268007772335, 'target_is_minimal': False, 'target_label': '175.2.b.c.99.2', 'target_level': 175, 'twist_class_label': '175.2.a.d.1.2', 'twist_class_level': 175, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 42576071
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666095, 'source_is_minimal': True, 'source_label': '175.2.a.d.1.2', 'source_level': 175, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543036591, 'target_is_minimal': True, 'target_label': '175.2.a.e.1.1', 'target_level': 175, 'twist_class_label': '175.2.a.d.1.2', 'twist_class_level': 175, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 42576072
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666095, 'source_is_minimal': True, 'source_label': '175.2.a.d.1.2', 'source_level': 175, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58546795189372105, 'target_is_minimal': False, 'target_label': '1225.2.a.n.1.2', 'target_level': 1225, 'twist_class_label': '175.2.a.d.1.2', 'twist_class_level': 175, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 42576073
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666095, 'source_is_minimal': True, 'source_label': '175.2.a.d.1.2', 'source_level': 175, 'target_conrey_index': 1324, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45036202465691175, 'target_is_minimal': False, 'target_label': '1575.2.d.k.1324.2', 'target_level': 1575, 'twist_class_label': '175.2.a.d.1.2', 'twist_class_level': 175, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 42576074
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666095, 'source_is_minimal': True, 'source_label': '175.2.a.d.1.2', 'source_level': 175, 'target_conrey_index': 1324, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 45036202465691175, 'target_is_minimal': False, 'target_label': '1575.2.d.k.1324.3', 'target_level': 1575, 'twist_class_label': '175.2.a.d.1.2', 'twist_class_level': 175, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 42576075
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666095, 'source_is_minimal': True, 'source_label': '175.2.a.d.1.2', 'source_level': 175, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58546795189372455, 'target_is_minimal': False, 'target_label': '1575.2.a.n.1.2', 'target_level': 1575, 'twist_class_label': '175.2.a.d.1.2', 'twist_class_level': 175, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 42576076
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666095, 'source_is_minimal': True, 'source_label': '175.2.a.d.1.2', 'source_level': 175, 'target_conrey_index': 449, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81065205643086576, 'target_is_minimal': False, 'target_label': '2800.2.g.s.449.1', 'target_level': 2800, 'twist_class_label': '175.2.a.d.1.2', 'twist_class_level': 175, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 42576077
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666095, 'source_is_minimal': True, 'source_label': '175.2.a.d.1.2', 'source_level': 175, 'target_conrey_index': 449, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 81065205643086576, 'target_is_minimal': False, 'target_label': '2800.2.g.s.449.4', 'target_level': 2800, 'twist_class_label': '175.2.a.d.1.2', 'twist_class_level': 175, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 42576078
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666095, 'source_is_minimal': True, 'source_label': '175.2.a.d.1.2', 'source_level': 175, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 184647584755747568, 'target_is_minimal': False, 'target_label': '2800.2.a.bp.1.2', 'target_level': 2800, 'twist_class_label': '175.2.a.d.1.2', 'twist_class_level': 175, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 42576079
{'conductor': 35, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666095, 'source_is_minimal': True, 'source_label': '175.2.a.d.1.2', 'source_level': 175, 'target_conrey_index': 99, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 45036065026737353, 'target_is_minimal': False, 'target_label': '1225.2.b.k.99.2', 'target_level': 1225, 'twist_class_label': '175.2.a.d.1.2', 'twist_class_level': 175, 'twisting_char_label': '35.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 42576080
{'conductor': 35, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666095, 'source_is_minimal': True, 'source_label': '175.2.a.d.1.2', 'source_level': 175, 'target_conrey_index': 99, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 45036065026737353, 'target_is_minimal': False, 'target_label': '1225.2.b.k.99.3', 'target_level': 1225, 'twist_class_label': '175.2.a.d.1.2', 'twist_class_level': 175, 'twisting_char_label': '35.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 42576081
{'conductor': 35, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13510798915666095, 'source_is_minimal': True, 'source_label': '175.2.a.d.1.2', 'source_level': 175, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 90071992580965577, 'target_is_minimal': False, 'target_label': '1225.2.a.u.1.1', 'target_level': 1225, 'twist_class_label': '175.2.a.d.1.2', 'twist_class_level': 175, 'twisting_char_label': '35.34', 'twisting_conrey_index': 34, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 447050
{'charpoly_factorization': [[[-1, 1, 1], 1]], 'hecke_orbit_code': 13510798915666095, 'p': 2}
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id: 447051
{'charpoly_factorization': [[[-4, -2, 1], 1]], 'hecke_orbit_code': 13510798915666095, 'p': 3}
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id: 447052
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510798915666095, 'p': 5}
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id: 447053
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 13510798915666095, 'p': 7}
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id: 447054
{'charpoly_factorization': [[[-1, -4, 1], 1]], 'hecke_orbit_code': 13510798915666095, 'p': 11}
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id: 447055
{'charpoly_factorization': [[[-4, -2, 1], 1]], 'hecke_orbit_code': 13510798915666095, 'p': 13}
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id: 447056
{'charpoly_factorization': [[[-16, -4, 1], 1]], 'hecke_orbit_code': 13510798915666095, 'p': 17}
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id: 447057
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 13510798915666095, 'p': 19}
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id: 447058
{'charpoly_factorization': [[[11, 8, 1], 1]], 'hecke_orbit_code': 13510798915666095, 'p': 23}
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id: 447059
{'charpoly_factorization': [[[-5, 1], 2]], 'hecke_orbit_code': 13510798915666095, 'p': 29}
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id: 447060
{'charpoly_factorization': [[[-36, 6, 1], 1]], 'hecke_orbit_code': 13510798915666095, 'p': 31}
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id: 447061
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 13510798915666095, 'p': 37}
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id: 447062
{'charpoly_factorization': [[[44, -14, 1], 1]], 'hecke_orbit_code': 13510798915666095, 'p': 41}
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id: 447063
{'charpoly_factorization': [[[11, 8, 1], 1]], 'hecke_orbit_code': 13510798915666095, 'p': 43}
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id: 447064
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 13510798915666095, 'p': 47}
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id: 447065
{'charpoly_factorization': [[[-4, 8, 1], 1]], 'hecke_orbit_code': 13510798915666095, 'p': 53}
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id: 447066
{'charpoly_factorization': [[[-20, -10, 1], 1]], 'hecke_orbit_code': 13510798915666095, 'p': 59}
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id: 447067
{'charpoly_factorization': [[[-36, 6, 1], 1]], 'hecke_orbit_code': 13510798915666095, 'p': 61}
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id: 447068
{'charpoly_factorization': [[[-1, -4, 1], 1]], 'hecke_orbit_code': 13510798915666095, 'p': 67}
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id: 447069
{'charpoly_factorization': [[[-41, -4, 1], 1]], 'hecke_orbit_code': 13510798915666095, 'p': 71}
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id: 447070
{'charpoly_factorization': [[[116, -22, 1], 1]], 'hecke_orbit_code': 13510798915666095, 'p': 73}
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id: 447071
{'charpoly_factorization': [[[-125, 0, 1], 1]], 'hecke_orbit_code': 13510798915666095, 'p': 79}
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id: 447072
{'charpoly_factorization': [[[-44, -2, 1], 1]], 'hecke_orbit_code': 13510798915666095, 'p': 83}
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id: 447073
{'charpoly_factorization': [[[220, -30, 1], 1]], 'hecke_orbit_code': 13510798915666095, 'p': 89}
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id: 447074
{'charpoly_factorization': [[[4, 6, 1], 1]], 'hecke_orbit_code': 13510798915666095, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 4, 'label': '175.2.a.d', 'level': 175, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 32417935
{'hecke_orbit_code': 13510798915666095, 'n': 1, 'trace_an': 2}
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id: 32417936
{'hecke_orbit_code': 13510798915666095, 'n': 2, 'trace_an': -1}
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id: 32417937
{'hecke_orbit_code': 13510798915666095, 'n': 3, 'trace_an': 2}
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id: 32417938
{'hecke_orbit_code': 13510798915666095, 'n': 4, 'trace_an': -1}
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id: 32417939
{'hecke_orbit_code': 13510798915666095, 'n': 5, 'trace_an': 0}
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id: 32417940
{'hecke_orbit_code': 13510798915666095, 'n': 6, 'trace_an': 4}
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