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mf_newforms • Show schema
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{'Nk2': 900, 'analytic_conductor': 1.7966340454788086, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 25, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 5, 'char_parity': 1, 'char_values': [225, 5, [101, 127], [5, 3]], 'cm_discs': [], 'conrey_index': 46, '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': 481069891809, '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': False, 'label': '225.2.h.a', 'level': 225, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, '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}+\\zeta_{10}^{3}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '225.2.h', 'trace_display': [1, 0, -5, 0], 'trace_hash': 1068802720038104586, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.002', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.931', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.083', 'prec': 17}, {'__RealLiteral__': 0, 'data': '44.388', 'prec': 20}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 900, 'analytic_conductor': 1.7966340454788086, 'char_conductor': 25, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 5, 'char_parity': 1, 'char_values': [225, 5, [101, 127], [5, 3]], 'conrey_index': 46, 'cusp_dim': 104, 'dim': 44, 'eis_dim': 32, 'eis_new_dim': 8, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 481069891809, 'hecke_orbit_dims': [4, 4, 8, 12, 16], 'label': '225.2.h', 'level': 225, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 136, 'mf_new_dim': 52, 'num_forms': 5, 'prim_orbit_index': 4, 'relative_dim': 11, 'sturm_bound': 60, 'trace_bound': 2, 'trace_display': [4, 0, 11, -10], 'traces': [44, 4, 0, -12, 11, 0, -10, -7, 0, -4, -4, 0, -3, 11, 0, 8, 2, 0, 7, -21, 0, -14, -25, 0, -11, 44, 0, 5, -1, 0, 15, -30, 0, -20, 25, 0, -5, 21, 0, 7, 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54, 37, 0, 288, -298, 0, 578, 45, 0, -246, -78, 0, 447, -56, 0, -97, -80, 0, -232, -73, 0, 81, 211, 0, 82], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 5369935
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891809, 'source_is_minimal': False, 'source_label': '225.2.h.a.46.1', 'source_level': 225, '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': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 5369936
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891809, 'source_is_minimal': False, 'source_label': '225.2.h.a.46.1', 'source_level': 225, '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': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 5369937
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891809, 'source_is_minimal': False, 'source_label': '225.2.h.a.46.1', 'source_level': 225, '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': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 5369938
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891809, 'source_is_minimal': False, 'source_label': '225.2.h.a.46.1', 'source_level': 225, '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': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 5369939
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891809, 'source_is_minimal': False, 'source_label': '225.2.h.a.46.1', 'source_level': 225, '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': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 5369940
{'conductor': 25, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891809, 'source_is_minimal': False, 'source_label': '225.2.h.a.46.1', 'source_level': 225, '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': '25.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 5369941
{'conductor': 25, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891809, 'source_is_minimal': False, 'source_label': '225.2.h.a.46.1', 'source_level': 225, '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': '25.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 5369942
{'conductor': 25, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891809, 'source_is_minimal': False, 'source_label': '225.2.h.a.46.1', 'source_level': 225, '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': '25.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 5369943
{'conductor': 75, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891809, 'source_is_minimal': False, 'source_label': '225.2.h.a.46.1', 'source_level': 225, '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': '75.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 5369944
{'conductor': 75, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891809, 'source_is_minimal': False, 'source_label': '225.2.h.a.46.1', 'source_level': 225, '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': '75.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 5369945
{'conductor': 75, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891809, 'source_is_minimal': False, 'source_label': '225.2.h.a.46.1', 'source_level': 225, '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': '75.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 5369946
{'conductor': 75, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891809, 'source_is_minimal': False, 'source_label': '225.2.h.a.46.1', 'source_level': 225, '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': '75.41', 'twisting_conrey_index': 41, 'weight': 2}
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id: 5369947
{'conductor': 75, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891809, 'source_is_minimal': False, 'source_label': '225.2.h.a.46.1', 'source_level': 225, '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': '75.44', 'twisting_conrey_index': 44, 'weight': 2}
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id: 5369948
{'conductor': 75, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891809, 'source_is_minimal': False, 'source_label': '225.2.h.a.46.1', 'source_level': 225, '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': '75.56', 'twisting_conrey_index': 56, 'weight': 2}
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id: 5369949
{'conductor': 75, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891809, 'source_is_minimal': False, 'source_label': '225.2.h.a.46.1', 'source_level': 225, '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': '75.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 5369950
{'conductor': 75, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 46, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 481069891809, 'source_is_minimal': False, 'source_label': '225.2.h.a.46.1', 'source_level': 225, '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': '75.62', 'twisting_conrey_index': 62, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 538075
{'charpoly_factorization': [[[1, -1, 1, -1, 1], 1]], 'hecke_orbit_code': 481069891809, 'p': 2}
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id: 538076
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 481069891809, 'p': 3}
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id: 538077
{'charpoly_factorization': [[[25, 25, 15, 5, 1], 1]], 'hecke_orbit_code': 481069891809, 'p': 5}
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id: 538078
{'charpoly_factorization': [[[-20, 0, 1], 2]], 'hecke_orbit_code': 481069891809, 'p': 7}
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id: 538079
{'charpoly_factorization': [[[16, -16, 16, -6, 1], 1]], 'hecke_orbit_code': 481069891809, 'p': 11}
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id: 538080
{'charpoly_factorization': [[[361, 133, 24, 2, 1], 1]], 'hecke_orbit_code': 481069891809, 'p': 13}
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id: 538081
{'charpoly_factorization': [[[121, -77, 34, -8, 1], 1]], 'hecke_orbit_code': 481069891809, 'p': 17}
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id: 538082
{'charpoly_factorization': [[[16, 24, 16, 4, 1], 1]], 'hecke_orbit_code': 481069891809, 'p': 19}
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id: 538083
{'charpoly_factorization': [[[400, 200, 60, 10, 1], 1]], 'hecke_orbit_code': 481069891809, 'p': 23}
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id: 538084
{'charpoly_factorization': [[[841, -87, 34, -8, 1], 1]], 'hecke_orbit_code': 481069891809, 'p': 29}
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id: 538085
{'charpoly_factorization': [[[400, 200, 40, 0, 1], 1]], 'hecke_orbit_code': 481069891809, 'p': 31}
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id: 538086
{'charpoly_factorization': [[[625, 250, 100, 15, 1], 1]], 'hecke_orbit_code': 481069891809, 'p': 37}
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id: 538087
{'charpoly_factorization': [[[25, 25, 10, 0, 1], 1]], 'hecke_orbit_code': 481069891809, 'p': 41}
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id: 538088
{'charpoly_factorization': [[[-44, -2, 1], 2]], 'hecke_orbit_code': 481069891809, 'p': 43}
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id: 538089
{'charpoly_factorization': [[[16, 32, 24, -2, 1], 1]], 'hecke_orbit_code': 481069891809, 'p': 47}
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id: 538090
{'charpoly_factorization': [[[25, 0, 10, -5, 1], 1]], 'hecke_orbit_code': 481069891809, 'p': 53}
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id: 538091
{'charpoly_factorization': [[[256, 64, 16, 4, 1], 1]], 'hecke_orbit_code': 481069891809, 'p': 59}
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id: 538092
{'charpoly_factorization': [[[1, -3, 4, -2, 1], 1]], 'hecke_orbit_code': 481069891809, 'p': 61}
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id: 538093
{'charpoly_factorization': [[[16, 32, 24, -2, 1], 1]], 'hecke_orbit_code': 481069891809, 'p': 67}
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id: 538094
{'charpoly_factorization': [[[16, -8, 24, 8, 1], 1]], 'hecke_orbit_code': 481069891809, 'p': 71}
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id: 538095
{'charpoly_factorization': [[[625, 375, 100, 10, 1], 1]], 'hecke_orbit_code': 481069891809, 'p': 73}
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id: 538096
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 481069891809, 'p': 79}
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id: 538097
{'charpoly_factorization': [[[1936, 88, 124, -18, 1], 1]], 'hecke_orbit_code': 481069891809, 'p': 83}
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id: 538098
{'charpoly_factorization': [[[1681, -164, 46, -9, 1], 1]], 'hecke_orbit_code': 481069891809, 'p': 89}
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id: 538099
{'charpoly_factorization': [[[361, 247, 64, -2, 1], 1]], 'hecke_orbit_code': 481069891809, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 8, 'hecke_orbit': 1, 'label': '225.2.h.a', 'level': 225, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 9307932
{'hecke_orbit_code': 481069891809, 'n': 1, 'trace_an': 4}
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id: 9307933
{'hecke_orbit_code': 481069891809, 'n': 2, 'trace_an': 1}
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id: 9307934
{'hecke_orbit_code': 481069891809, 'n': 3, 'trace_an': 0}
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id: 9307935
{'hecke_orbit_code': 481069891809, 'n': 4, 'trace_an': 1}
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id: 9307936
{'hecke_orbit_code': 481069891809, 'n': 5, 'trace_an': -5}
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id: 9307937
{'hecke_orbit_code': 481069891809, 'n': 6, 'trace_an': 0}
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id: 9307938
{'hecke_orbit_code': 481069891809, 'n': 7, 'trace_an': 0}
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id: 9307939
{'hecke_orbit_code': 481069891809, 'n': 8, 'trace_an': -3}
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