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mf_newforms • Show schema
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{'Nk2': 300, 'analytic_conductor': 0.5988780151596029, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 25, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 5, 'char_parity': 1, 'char_values': [75, 5, [26, 52], [5, 1]], 'cm_discs': [], 'conrey_index': 16, 'dim': 4, 'field_disc': 125, 'field_disc_factorization': [[5, 3]], 'field_poly': [1, -1, 1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 10, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 1, 1, 1, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 412350414923, 'hecke_ring_generator_nbound': 2, '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, 25, 4, 1, 5, 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': True, 'label': '75.2.g.a', 'level': 75, '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': [3, 5], 'level_radical': 15, 'minimal_twist': '75.2.g.a', 'nf_label': '4.0.125.1', 'prim_orbit_index': 4, 'qexp_display': 'q+(-1+\\zeta_{10}-\\zeta_{10}^{2}+\\zeta_{10}^{3})q^{2}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '75.2.g', 'trace_display': [-1, -1, 5, 0], 'trace_hash': 2030935178654934279, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.013', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.932', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.022', 'prec': 17}, {'__RealLiteral__': 0, 'data': '44.388', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_cc • Show schema
Hide schema
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mf_newspaces • Show schema
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{'Nk2': 300, 'analytic_conductor': 0.5988780151596029, 'char_conductor': 25, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 5, 'char_parity': 1, 'char_values': [75, 5, [26, 52], [5, 1]], 'conrey_index': 16, 'cusp_dim': 32, 'dim': 24, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 412350414923, 'hecke_orbit_dims': [4, 8, 12], 'label': '75.2.g', 'level': 75, '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': [3, 5], 'level_radical': 15, 'mf_dim': 48, 'mf_new_dim': 24, 'num_forms': 3, 'prim_orbit_index': 4, 'relative_dim': 6, 'sturm_bound': 20, 'trace_bound': 1, 'trace_display': [-2, 0, -6, -8], 'traces': [24, -2, 0, -8, -6, -2, -8, 12, -6, -14, 6, -8, -12, -12, -4, 0, -10, 8, -2, 16, -4, 30, 36, 24, -16, -32, 0, -26, -4, 44, -6, 12, -6, -6, -30, -8, -8, -26, -8, 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mf_twists_cc • Show schema
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id: 3845865
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414923, 'source_is_minimal': True, 'source_label': '75.2.g.a.46.1', 'source_level': 75, 'target_conrey_index': 46, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350414923, 'target_is_minimal': True, 'target_label': '75.2.g.a.46.1', 'target_level': 75, 'twist_class_label': '75.2.g.a.31.1', 'twist_class_level': 75, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 3845866
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414923, 'source_is_minimal': True, 'source_label': '75.2.g.a.46.1', 'source_level': 75, 'target_conrey_index': 46, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 481069891809, 'target_is_minimal': False, 'target_label': '225.2.h.a.46.1', 'target_level': 225, 'twist_class_label': '75.2.g.a.31.1', 'twist_class_level': 75, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 3845867
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414923, 'source_is_minimal': True, 'source_label': '75.2.g.a.46.1', 'source_level': 75, 'target_conrey_index': 274, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 549789368695, 'target_is_minimal': False, 'target_label': '375.2.i.a.274.2', 'target_level': 375, 'twist_class_label': '75.2.g.a.31.1', 'twist_class_level': 75, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 3845868
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414923, 'source_is_minimal': True, 'source_label': '75.2.g.a.46.1', 'source_level': 75, 'target_conrey_index': 274, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 549789368695, 'target_is_minimal': False, 'target_label': '375.2.i.a.274.1', 'target_level': 375, 'twist_class_label': '75.2.g.a.31.1', 'twist_class_level': 75, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 3845869
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414923, 'source_is_minimal': True, 'source_label': '75.2.g.a.46.1', 'source_level': 75, 'target_conrey_index': 226, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350415223, 'target_is_minimal': False, 'target_label': '375.2.g.a.226.1', 'target_level': 375, 'twist_class_label': '75.2.g.a.31.1', 'twist_class_level': 75, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 3845870
{'conductor': 25, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414923, 'source_is_minimal': True, 'source_label': '75.2.g.a.46.1', 'source_level': 75, 'target_conrey_index': 31, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350414923, 'target_is_minimal': True, 'target_label': '75.2.g.a.31.1', 'target_level': 75, 'twist_class_label': '75.2.g.a.31.1', 'twist_class_level': 75, 'twisting_char_label': '25.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 3845871
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414923, 'source_is_minimal': True, 'source_label': '75.2.g.a.46.1', 'source_level': 75, 'target_conrey_index': 349, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 549789368695, 'target_is_minimal': False, 'target_label': '375.2.i.a.349.2', 'target_level': 375, 'twist_class_label': '75.2.g.a.31.1', 'twist_class_level': 75, 'twisting_char_label': '25.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 3845872
{'conductor': 25, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414923, 'source_is_minimal': True, 'source_label': '75.2.g.a.46.1', 'source_level': 75, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 33556307, 'target_is_minimal': False, 'target_label': '1875.2.a.a.1.2', 'target_level': 1875, 'twist_class_label': '75.2.g.a.31.1', 'twist_class_level': 75, 'twisting_char_label': '25.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 3845873
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414923, 'source_is_minimal': True, 'source_label': '75.2.g.a.46.1', 'source_level': 75, 'target_conrey_index': 1249, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503668380403539, 'target_is_minimal': False, 'target_label': '1875.2.b.b.1249.3', 'target_level': 1875, 'twist_class_label': '75.2.g.a.31.1', 'twist_class_level': 75, 'twisting_char_label': '25.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 3845874
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414923, 'source_is_minimal': True, 'source_label': '75.2.g.a.46.1', 'source_level': 75, 'target_conrey_index': 1249, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503668380403539, 'target_is_minimal': False, 'target_label': '1875.2.b.b.1249.2', 'target_level': 1875, 'twist_class_label': '75.2.g.a.31.1', 'twist_class_level': 75, 'twisting_char_label': '25.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 3845875
{'conductor': 25, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414923, 'source_is_minimal': True, 'source_label': '75.2.g.a.46.1', 'source_level': 75, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915667795, 'target_is_minimal': False, 'target_label': '1875.2.a.d.1.1', 'target_level': 1875, 'twist_class_label': '75.2.g.a.31.1', 'twist_class_level': 75, 'twisting_char_label': '25.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 3845876
{'conductor': 25, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414923, 'source_is_minimal': True, 'source_label': '75.2.g.a.46.1', 'source_level': 75, 'target_conrey_index': 349, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 549789368695, 'target_is_minimal': False, 'target_label': '375.2.i.a.349.1', 'target_level': 375, 'twist_class_label': '75.2.g.a.31.1', 'twist_class_level': 75, 'twisting_char_label': '25.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 3845877
{'conductor': 25, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414923, 'source_is_minimal': True, 'source_label': '75.2.g.a.46.1', 'source_level': 75, 'target_conrey_index': 151, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350415223, 'target_is_minimal': False, 'target_label': '375.2.g.a.151.1', 'target_level': 375, 'twist_class_label': '75.2.g.a.31.1', 'twist_class_level': 75, 'twisting_char_label': '25.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 3845878
{'conductor': 75, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414923, 'source_is_minimal': True, 'source_label': '75.2.g.a.46.1', 'source_level': 75, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33560057, 'target_is_minimal': False, 'target_label': '5625.2.a.a.1.1', 'target_level': 5625, 'twist_class_label': '75.2.g.a.31.1', 'twist_class_level': 75, 'twisting_char_label': '75.41', 'twisting_conrey_index': 41, 'weight': 2}
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id: 3845879
{'conductor': 75, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414923, 'source_is_minimal': True, 'source_label': '75.2.g.a.46.1', 'source_level': 75, 'target_conrey_index': 181, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 481069891809, 'target_is_minimal': False, 'target_label': '225.2.h.a.181.1', 'target_level': 225, 'twist_class_label': '75.2.g.a.31.1', 'twist_class_level': 75, 'twisting_char_label': '75.56', 'twisting_conrey_index': 56, 'weight': 2}
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id: 3845880
{'conductor': 75, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414923, 'source_is_minimal': True, 'source_label': '75.2.g.a.46.1', 'source_level': 75, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525197425153529, 'target_is_minimal': False, 'target_label': '5625.2.a.h.1.2', 'target_level': 5625, 'twist_class_label': '75.2.g.a.31.1', 'twist_class_level': 75, 'twisting_char_label': '75.59', 'twisting_conrey_index': 59, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 231300
{'charpoly_factorization': [[[1, 1, 1, 1, 1], 1]], 'hecke_orbit_code': 412350414923, 'p': 2}
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id: 231301
{'charpoly_factorization': [[[1, 1, 1, 1, 1], 1]], 'hecke_orbit_code': 412350414923, 'p': 3}
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id: 231302
{'charpoly_factorization': [[[25, -25, 15, -5, 1], 1]], 'hecke_orbit_code': 412350414923, 'p': 5}
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id: 231303
{'charpoly_factorization': [[[-20, 0, 1], 2]], 'hecke_orbit_code': 412350414923, 'p': 7}
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id: 231304
{'charpoly_factorization': [[[16, 16, 16, 6, 1], 1]], 'hecke_orbit_code': 412350414923, 'p': 11}
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id: 231305
{'charpoly_factorization': [[[361, 133, 24, 2, 1], 1]], 'hecke_orbit_code': 412350414923, 'p': 13}
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id: 231306
{'charpoly_factorization': [[[121, 77, 34, 8, 1], 1]], 'hecke_orbit_code': 412350414923, 'p': 17}
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id: 231307
{'charpoly_factorization': [[[16, 24, 16, 4, 1], 1]], 'hecke_orbit_code': 412350414923, 'p': 19}
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id: 231308
{'charpoly_factorization': [[[400, -200, 60, -10, 1], 1]], 'hecke_orbit_code': 412350414923, 'p': 23}
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id: 231309
{'charpoly_factorization': [[[841, 87, 34, 8, 1], 1]], 'hecke_orbit_code': 412350414923, 'p': 29}
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id: 231310
{'charpoly_factorization': [[[400, 200, 40, 0, 1], 1]], 'hecke_orbit_code': 412350414923, 'p': 31}
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id: 231311
{'charpoly_factorization': [[[625, 250, 100, 15, 1], 1]], 'hecke_orbit_code': 412350414923, 'p': 37}
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id: 231312
{'charpoly_factorization': [[[25, -25, 10, 0, 1], 1]], 'hecke_orbit_code': 412350414923, 'p': 41}
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id: 231313
{'charpoly_factorization': [[[-44, -2, 1], 2]], 'hecke_orbit_code': 412350414923, 'p': 43}
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id: 231314
{'charpoly_factorization': [[[16, -32, 24, 2, 1], 1]], 'hecke_orbit_code': 412350414923, 'p': 47}
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id: 231315
{'charpoly_factorization': [[[25, 0, 10, 5, 1], 1]], 'hecke_orbit_code': 412350414923, 'p': 53}
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id: 231316
{'charpoly_factorization': [[[256, -64, 16, -4, 1], 1]], 'hecke_orbit_code': 412350414923, 'p': 59}
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id: 231317
{'charpoly_factorization': [[[1, -3, 4, -2, 1], 1]], 'hecke_orbit_code': 412350414923, 'p': 61}
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id: 231318
{'charpoly_factorization': [[[16, 32, 24, -2, 1], 1]], 'hecke_orbit_code': 412350414923, 'p': 67}
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id: 231319
{'charpoly_factorization': [[[16, 8, 24, -8, 1], 1]], 'hecke_orbit_code': 412350414923, 'p': 71}
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id: 231320
{'charpoly_factorization': [[[625, 375, 100, 10, 1], 1]], 'hecke_orbit_code': 412350414923, 'p': 73}
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id: 231321
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 412350414923, 'p': 79}
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id: 231322
{'charpoly_factorization': [[[1936, -88, 124, 18, 1], 1]], 'hecke_orbit_code': 412350414923, 'p': 83}
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id: 231323
{'charpoly_factorization': [[[1681, 164, 46, 9, 1], 1]], 'hecke_orbit_code': 412350414923, 'p': 89}
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id: 231324
{'charpoly_factorization': [[[361, 247, 64, -2, 1], 1]], 'hecke_orbit_code': 412350414923, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 1, 'label': '75.2.g.a', 'level': 75, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 8740332
{'hecke_orbit_code': 412350414923, 'n': 1, 'trace_an': 4}
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id: 8740333
{'hecke_orbit_code': 412350414923, 'n': 2, 'trace_an': -1}
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id: 8740334
{'hecke_orbit_code': 412350414923, 'n': 3, 'trace_an': -1}
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id: 8740335
{'hecke_orbit_code': 412350414923, 'n': 4, 'trace_an': 1}
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id: 8740336
{'hecke_orbit_code': 412350414923, 'n': 5, 'trace_an': 5}
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id: 8740337
{'hecke_orbit_code': 412350414923, 'n': 6, 'trace_an': -1}
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id: 8740338
{'hecke_orbit_code': 412350414923, 'n': 7, 'trace_an': 0}
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id: 8740339
{'hecke_orbit_code': 412350414923, 'n': 8, 'trace_an': 3}
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id: 8740340
{'hecke_orbit_code': 412350414923, 'n': 9, 'trace_an': -1}
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id: 8740341
{'hecke_orbit_code': 412350414923, 'n': 10, 'trace_an': -5}
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id: 8740342
{'hecke_orbit_code': 412350414923, 'n': 11, 'trace_an': -6}
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id: 8740343
{'hecke_orbit_code': 412350414923, 'n': 12, 'trace_an': 1}
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id: 8740344
{'hecke_orbit_code': 412350414923, 'n': 13, 'trace_an': -2}
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id: 8740345
{'hecke_orbit_code': 412350414923, 'n': 14, 'trace_an': -10}
-
id: 8740346
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id: 8740558
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id: 8740559
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id: 8740560
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id: 8740561
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id: 8740562
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id: 8740563
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id: 8740564
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id: 8740565
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id: 8740566
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id: 8740567
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id: 8740568
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id: 8740569
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id: 8740570
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id: 8740571
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id: 8740572
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id: 8740573
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id: 8740574
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id: 8740575
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id: 8740576
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id: 8740577
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id: 8740578
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id: 8740579
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id: 8740580
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id: 8740581
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id: 8740582
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id: 8740583
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id: 8740584
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id: 8740585
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id: 8740586
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id: 8740587
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id: 8740588
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id: 8740589
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