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mf_newforms • Show schema
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{'Nk2': 3380, 'analytic_conductor': 6.747358970798192, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 65, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 4, 'char_parity': 1, 'char_values': [845, 4, [677, 171], [3, 3]], 'cm_discs': [], 'conrey_index': 408, 'dim': 20, 'field_disc': 689201286779172413066157490176, 'field_disc_factorization': [[2, 28], [3, 10], [7283, 2], [28631, 2]], 'field_poly': [1, 0, 78, 0, 1263, 0, 6176, 0, 11441, 0, 10466, 0, 5353, 0, 1604, 0, 279, 0, 26, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 0, 78, 0, 1263, 0, 6176, 0, 11441, 0, 10466, 0, 5353, 0, 1604, 0, 279, 0, 26, 0, 1]], [7, [-8, 60, 141, -334, -328, 278, 166, -46, -24, 2, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511142513050445, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 16, 'hecke_ring_index_factorization': [[2, 4]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 65, 6, 1, 4, 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': '845.2.f.d', 'level': 845, '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, 13], 'level_radical': 65, 'minimal_twist': '65.2.o.a', 'prim_orbit_index': 6, 'qexp_display': 'q+\\beta _{1}q^{2}+\\beta _{9}q^{3}+(\\beta _{3}-\\beta _{4}-\\beta _{8})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 10, 'rm_discs': [], 'sato_tate_group': '1.2.3.c4', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '845.2.f', 'trace_display': [0, 4, 0, -4], 'trace_hash': 357941520369869386, 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mf_hecke_cc • Show schema
Hide schema
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mf_newspaces • Show schema
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{'Nk2': 3380, 'analytic_conductor': 6.747358970798192, 'char_conductor': 65, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 4, 'char_parity': 1, 'char_values': [845, 4, [677, 171], [3, 3]], 'conrey_index': 408, 'cusp_dim': 154, 'dim': 134, 'eis_dim': 56, 'eis_new_dim': 40, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 343630938957, 'hecke_orbit_dims': [2, 8, 12, 20, 20, 72], 'label': '845.2.f', 'level': 845, '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, 13], 'level_radical': 65, 'mf_dim': 210, 'mf_new_dim': 174, 'num_forms': 6, 'prim_orbit_index': 6, 'relative_dim': 67, 'sturm_bound': 182, 'trace_bound': 6, 'trace_display': [0, 4, 6, 4], 'traces': [134, 0, 4, -114, 6, 4, 4, 0, 0, -8, -4, 8, 0, 0, 4, 82, -14, -18, 4, 6, 16, 0, 24, -4, 2, 0, -56, 12, 0, 64, -12, 0, 0, 2, 28, 0, 44, 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mf_twists_cc • Show schema
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id: 43238914
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 8, 'source_hecke_orbit_code': 13511142513050445, 'source_is_minimal': False, 'source_label': '845.2.f.d.408.8', 'source_level': 845, 'target_conrey_index': 408, 'target_dim': 20, 'target_embedding_index': 8, 'target_hecke_orbit_code': 13511142513050445, 'target_is_minimal': False, 'target_label': '845.2.f.d.408.8', 'target_level': 845, 'twist_class_label': '65.2.o.a.2.2', 'twist_class_level': 65, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43238915
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 8, 'source_hecke_orbit_code': 13511142513050445, 'source_is_minimal': False, 'source_label': '845.2.f.d.408.8', 'source_level': 845, 'target_conrey_index': 577, 'target_dim': 20, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511486110434125, 'target_is_minimal': False, 'target_label': '845.2.k.d.577.3', 'target_level': 845, 'twist_class_label': '65.2.o.a.2.2', 'twist_class_level': 65, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43238916
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 8, 'source_hecke_orbit_code': 13511142513050445, 'source_is_minimal': False, 'source_label': '845.2.f.d.408.8', 'source_level': 845, 'target_conrey_index': 33, 'target_dim': 20, 'target_embedding_index': 2, 'target_hecke_orbit_code': 962106228801, 'target_is_minimal': True, 'target_label': '65.2.o.a.33.2', 'target_level': 65, 'twist_class_label': '65.2.o.a.2.2', 'twist_class_level': 65, 'twisting_char_label': '13.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43238917
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 8, 'source_hecke_orbit_code': 13511142513050445, 'source_is_minimal': False, 'source_label': '845.2.f.d.408.8', 'source_level': 845, 'target_conrey_index': 188, 'target_dim': 20, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015704213095245, 'target_is_minimal': False, 'target_label': '845.2.t.e.188.2', 'target_level': 845, 'twist_class_label': '65.2.o.a.2.2', 'twist_class_level': 65, 'twisting_char_label': '13.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 43238918
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 8, 'source_hecke_orbit_code': 13511142513050445, 'source_is_minimal': False, 'source_label': '845.2.f.d.408.8', 'source_level': 845, 'target_conrey_index': 28, 'target_dim': 20, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1305703612481, 'target_is_minimal': True, 'target_label': '65.2.t.a.28.2', 'target_level': 65, 'twist_class_label': '65.2.o.a.2.2', 'twist_class_level': 65, 'twisting_char_label': '13.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 43238919
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 8, 'source_hecke_orbit_code': 13511142513050445, 'source_is_minimal': False, 'source_label': '845.2.f.d.408.8', 'source_level': 845, 'target_conrey_index': 268, 'target_dim': 20, 'target_embedding_index': 8, 'target_hecke_orbit_code': 18015085737804621, 'target_is_minimal': False, 'target_label': '845.2.k.e.268.8', 'target_level': 845, 'twist_class_label': '65.2.o.a.2.2', 'twist_class_level': 65, 'twisting_char_label': '13.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 43238920
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 8, 'source_hecke_orbit_code': 13511142513050445, 'source_is_minimal': False, 'source_label': '845.2.f.d.408.8', 'source_level': 845, 'target_conrey_index': 258, 'target_dim': 20, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015360615711565, 'target_is_minimal': False, 'target_label': '845.2.o.e.258.2', 'target_level': 845, 'twist_class_label': '65.2.o.a.2.2', 'twist_class_level': 65, 'twisting_char_label': '13.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 43238921
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 8, 'source_hecke_orbit_code': 13511142513050445, 'source_is_minimal': False, 'source_label': '845.2.f.d.408.8', 'source_level': 845, 'target_conrey_index': 258, 'target_dim': 20, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518960243082061, 'target_is_minimal': False, 'target_label': '845.2.o.f.258.4', 'target_level': 845, 'twist_class_label': '65.2.o.a.2.2', 'twist_class_level': 65, 'twisting_char_label': '13.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 43238922
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 8, 'source_hecke_orbit_code': 13511142513050445, 'source_is_minimal': False, 'source_label': '845.2.f.d.408.8', 'source_level': 845, 'target_conrey_index': 268, 'target_dim': 20, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511486110434125, 'target_is_minimal': False, 'target_label': '845.2.k.d.268.3', 'target_level': 845, 'twist_class_label': '65.2.o.a.2.2', 'twist_class_level': 65, 'twisting_char_label': '13.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 43238923
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 8, 'source_hecke_orbit_code': 13511142513050445, 'source_is_minimal': False, 'source_label': '845.2.f.d.408.8', 'source_level': 845, 'target_conrey_index': 418, 'target_dim': 20, 'target_embedding_index': 4, 'target_hecke_orbit_code': 27022903467836237, 'target_is_minimal': False, 'target_label': '845.2.t.g.418.4', 'target_level': 845, 'twist_class_label': '65.2.o.a.2.2', 'twist_class_level': 65, 'twisting_char_label': '13.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 43238924
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 8, 'source_hecke_orbit_code': 13511142513050445, 'source_is_minimal': False, 'source_label': '845.2.f.d.408.8', 'source_level': 845, 'target_conrey_index': 188, 'target_dim': 20, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22519303840465741, 'target_is_minimal': False, 'target_label': '845.2.t.f.188.4', 'target_level': 845, 'twist_class_label': '65.2.o.a.2.2', 'twist_class_level': 65, 'twisting_char_label': '13.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 43238925
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 8, 'source_hecke_orbit_code': 13511142513050445, 'source_is_minimal': False, 'source_label': '845.2.f.d.408.8', 'source_level': 845, 'target_conrey_index': 488, 'target_dim': 20, 'target_embedding_index': 4, 'target_hecke_orbit_code': 27022559870452557, 'target_is_minimal': False, 'target_label': '845.2.o.g.488.4', 'target_level': 845, 'twist_class_label': '65.2.o.a.2.2', 'twist_class_level': 65, 'twisting_char_label': '13.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 43238926
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 8, 'source_hecke_orbit_code': 13511142513050445, 'source_is_minimal': False, 'source_label': '845.2.f.d.408.8', 'source_level': 845, 'target_conrey_index': 408, 'target_dim': 20, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014742140420941, 'target_is_minimal': False, 'target_label': '845.2.f.e.408.3', 'target_level': 845, 'twist_class_label': '65.2.o.a.2.2', 'twist_class_level': 65, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 43238927
{'conductor': 39, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 8, 'source_hecke_orbit_code': 13511142513050445, 'source_is_minimal': False, 'source_label': '845.2.f.d.408.8', 'source_level': 845, 'target_conrey_index': 163, 'target_dim': 20, 'target_embedding_index': 4, 'target_hecke_orbit_code': 3917043728969, 'target_is_minimal': False, 'target_label': '585.2.cf.a.163.4', 'target_level': 585, 'twist_class_label': '65.2.o.a.2.2', 'twist_class_level': 65, 'twisting_char_label': '39.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43238928
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 8, 'source_hecke_orbit_code': 13511142513050445, 'source_is_minimal': False, 'source_label': '845.2.f.d.408.8', 'source_level': 845, 'target_conrey_index': 28, 'target_dim': 20, 'target_embedding_index': 4, 'target_hecke_orbit_code': 6390944891465, 'target_is_minimal': False, 'target_label': '585.2.dp.a.28.4', 'target_level': 585, 'twist_class_label': '65.2.o.a.2.2', 'twist_class_level': 65, 'twisting_char_label': '39.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 43238929
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 8, 'source_hecke_orbit_code': 13511142513050445, 'source_is_minimal': False, 'source_label': '845.2.f.d.408.8', 'source_level': 845, 'target_conrey_index': 7, 'target_dim': 20, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1305703612481, 'target_is_minimal': True, 'target_label': '65.2.t.a.7.2', 'target_level': 65, 'twist_class_label': '65.2.o.a.2.2', 'twist_class_level': 65, 'twisting_char_label': '65.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43238930
{'conductor': 65, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 8, 'source_hecke_orbit_code': 13511142513050445, 'source_is_minimal': False, 'source_label': '845.2.f.d.408.8', 'source_level': 845, 'target_conrey_index': 93, 'target_dim': 20, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4505180208890181, 'target_is_minimal': False, 'target_label': '325.2.x.b.93.4', 'target_level': 325, 'twist_class_label': '65.2.o.a.2.2', 'twist_class_level': 65, 'twisting_char_label': '65.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 43238931
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 8, 'source_hecke_orbit_code': 13511142513050445, 'source_is_minimal': False, 'source_label': '845.2.f.d.408.8', 'source_level': 845, 'target_conrey_index': 427, 'target_dim': 20, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015704213095245, 'target_is_minimal': False, 'target_label': '845.2.t.e.427.2', 'target_level': 845, 'twist_class_label': '65.2.o.a.2.2', 'twist_class_level': 65, 'twisting_char_label': '65.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 43238932
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 8, 'source_hecke_orbit_code': 13511142513050445, 'source_is_minimal': False, 'source_label': '845.2.f.d.408.8', 'source_level': 845, 'target_conrey_index': 577, 'target_dim': 20, 'target_embedding_index': 8, 'target_hecke_orbit_code': 18015085737804621, 'target_is_minimal': False, 'target_label': '845.2.k.e.577.8', 'target_level': 845, 'twist_class_label': '65.2.o.a.2.2', 'twist_class_level': 65, 'twisting_char_label': '65.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 43238933
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 8, 'source_hecke_orbit_code': 13511142513050445, 'source_is_minimal': False, 'source_label': '845.2.f.d.408.8', 'source_level': 845, 'target_conrey_index': 2, 'target_dim': 20, 'target_embedding_index': 2, 'target_hecke_orbit_code': 962106228801, 'target_is_minimal': True, 'target_label': '65.2.o.a.2.2', 'target_level': 65, 'twist_class_label': '65.2.o.a.2.2', 'twist_class_level': 65, 'twisting_char_label': '65.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 43238934
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 8, 'source_hecke_orbit_code': 13511142513050445, 'source_is_minimal': False, 'source_label': '845.2.f.d.408.8', 'source_level': 845, 'target_conrey_index': 587, 'target_dim': 20, 'target_embedding_index': 4, 'target_hecke_orbit_code': 27022559870452557, 'target_is_minimal': False, 'target_label': '845.2.o.g.587.4', 'target_level': 845, 'twist_class_label': '65.2.o.a.2.2', 'twist_class_level': 65, 'twisting_char_label': '65.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 43238935
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 8, 'source_hecke_orbit_code': 13511142513050445, 'source_is_minimal': False, 'source_label': '845.2.f.d.408.8', 'source_level': 845, 'target_conrey_index': 7, 'target_dim': 20, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4505180208890181, 'target_is_minimal': False, 'target_label': '325.2.x.b.7.4', 'target_level': 325, 'twist_class_label': '65.2.o.a.2.2', 'twist_class_level': 65, 'twisting_char_label': '65.28', 'twisting_conrey_index': 28, 'weight': 2}
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id: 43238936
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 8, 'source_hecke_orbit_code': 13511142513050445, 'source_is_minimal': False, 'source_label': '845.2.f.d.408.8', 'source_level': 845, 'target_conrey_index': 427, 'target_dim': 20, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22519303840465741, 'target_is_minimal': False, 'target_label': '845.2.t.f.427.4', 'target_level': 845, 'twist_class_label': '65.2.o.a.2.2', 'twist_class_level': 65, 'twisting_char_label': '65.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 43238937
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 8, 'source_hecke_orbit_code': 13511142513050445, 'source_is_minimal': False, 'source_label': '845.2.f.d.408.8', 'source_level': 845, 'target_conrey_index': 657, 'target_dim': 20, 'target_embedding_index': 4, 'target_hecke_orbit_code': 27022903467836237, 'target_is_minimal': False, 'target_label': '845.2.t.g.657.4', 'target_level': 845, 'twist_class_label': '65.2.o.a.2.2', 'twist_class_level': 65, 'twisting_char_label': '65.37', 'twisting_conrey_index': 37, 'weight': 2}
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id: 43238938
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 8, 'source_hecke_orbit_code': 13511142513050445, 'source_is_minimal': False, 'source_label': '845.2.f.d.408.8', 'source_level': 845, 'target_conrey_index': 357, 'target_dim': 20, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518960243082061, 'target_is_minimal': False, 'target_label': '845.2.o.f.357.4', 'target_level': 845, 'twist_class_label': '65.2.o.a.2.2', 'twist_class_level': 65, 'twisting_char_label': '65.42', 'twisting_conrey_index': 42, 'weight': 2}
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id: 43238939
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 8, 'source_hecke_orbit_code': 13511142513050445, 'source_is_minimal': False, 'source_label': '845.2.f.d.408.8', 'source_level': 845, 'target_conrey_index': 132, 'target_dim': 20, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504836611506501, 'target_is_minimal': False, 'target_label': '325.2.s.b.132.4', 'target_level': 325, 'twist_class_label': '65.2.o.a.2.2', 'twist_class_level': 65, 'twisting_char_label': '65.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 43238940
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 8, 'source_hecke_orbit_code': 13511142513050445, 'source_is_minimal': False, 'source_label': '845.2.f.d.408.8', 'source_level': 845, 'target_conrey_index': 437, 'target_dim': 20, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511142513050445, 'target_is_minimal': False, 'target_label': '845.2.f.d.437.3', 'target_level': 845, 'twist_class_label': '65.2.o.a.2.2', 'twist_class_level': 65, 'twisting_char_label': '65.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 43238941
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 8, 'source_hecke_orbit_code': 13511142513050445, 'source_is_minimal': False, 'source_label': '845.2.f.d.408.8', 'source_level': 845, 'target_conrey_index': 293, 'target_dim': 20, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504836611506501, 'target_is_minimal': False, 'target_label': '325.2.s.b.293.4', 'target_level': 325, 'twist_class_label': '65.2.o.a.2.2', 'twist_class_level': 65, 'twisting_char_label': '65.54', 'twisting_conrey_index': 54, 'weight': 2}
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id: 43238942
{'conductor': 65, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 8, 'source_hecke_orbit_code': 13511142513050445, 'source_is_minimal': False, 'source_label': '845.2.f.d.408.8', 'source_level': 845, 'target_conrey_index': 437, 'target_dim': 20, 'target_embedding_index': 8, 'target_hecke_orbit_code': 18014742140420941, 'target_is_minimal': False, 'target_label': '845.2.f.e.437.8', 'target_level': 845, 'twist_class_label': '65.2.o.a.2.2', 'twist_class_level': 65, 'twisting_char_label': '65.57', 'twisting_conrey_index': 57, 'weight': 2}
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id: 43238943
{'conductor': 65, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 8, 'source_hecke_orbit_code': 13511142513050445, 'source_is_minimal': False, 'source_label': '845.2.f.d.408.8', 'source_level': 845, 'target_conrey_index': 357, 'target_dim': 20, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18015360615711565, 'target_is_minimal': False, 'target_label': '845.2.o.e.357.2', 'target_level': 845, 'twist_class_label': '65.2.o.a.2.2', 'twist_class_level': 65, 'twisting_char_label': '65.62', 'twisting_conrey_index': 62, 'weight': 2}
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id: 43238944
{'conductor': 195, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 8, 'source_hecke_orbit_code': 13511142513050445, 'source_is_minimal': False, 'source_label': '845.2.f.d.408.8', 'source_level': 845, 'target_conrey_index': 397, 'target_dim': 20, 'target_embedding_index': 4, 'target_hecke_orbit_code': 6390944891465, 'target_is_minimal': False, 'target_label': '585.2.dp.a.397.4', 'target_level': 585, 'twist_class_label': '65.2.o.a.2.2', 'twist_class_level': 65, 'twisting_char_label': '195.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43238945
{'conductor': 195, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 408, 'source_dim': 20, 'source_embedding_index': 8, 'source_hecke_orbit_code': 13511142513050445, 'source_is_minimal': False, 'source_label': '845.2.f.d.408.8', 'source_level': 845, 'target_conrey_index': 262, 'target_dim': 20, 'target_embedding_index': 4, 'target_hecke_orbit_code': 3917043728969, 'target_is_minimal': False, 'target_label': '585.2.cf.a.262.4', 'target_level': 585, 'twist_class_label': '65.2.o.a.2.2', 'twist_class_level': 65, 'twisting_char_label': '195.17', 'twisting_conrey_index': 17, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1399975
{'charpoly_factorization': [[[1, 0, 78, 0, 1263, 0, 6176, 0, 11441, 0, 10466, 0, 5353, 0, 1604, 0, 279, 0, 26, 0, 1], 1]], 'hecke_orbit_code': 13511142513050445, 'p': 2}
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id: 1399976
{'charpoly_factorization': [[[16, 144, 648, 796, -55, -1540, 8168, -912, 364, -3772, 8128, -3800, 958, -300, 616, -304, 76, -4, 8, -4, 1], 1]], 'hecke_orbit_code': 13511142513050445, 'p': 3}
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id: 1399977
{'charpoly_factorization': [[[9765625, 0, -3515625, 0, 515625, -50000, -15000, 6000, -22650, 480, 7346, 96, -906, 48, -24, -16, 33, 0, -9, 0, 1], 1]], 'hecke_orbit_code': 13511142513050445, 'p': 5}
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id: 1399978
{'charpoly_factorization': [[[-8, 60, 141, -334, -328, 278, 166, -46, -24, 2, 1], 2]], 'hecke_orbit_code': 13511142513050445, 'p': 7}
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id: 1399979
{'charpoly_factorization': [[[256, 10880, 231200, -3289192, 21680561, -35793616, 28952192, 3793488, 1643724, -3067632, 3098560, 672160, 77654, -15024, 20096, 4720, 556, -16, 32, 8, 1], 1]], 'hecke_orbit_code': 13511142513050445, 'p': 11}
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id: 1399980
{'charpoly_factorization': [[[0, 1], 20]], 'hecke_orbit_code': 13511142513050445, 'p': 13}
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id: 1399981
{'charpoly_factorization': [[[1168561, 22378862, 214286402, 363680406, 326215005, 171802520, 62490568, 22597312, 12747202, 6398084, 2157676, 493836, 164914, 75512, 25288, 4464, 797, 286, 98, 14, 1], 1]], 'hecke_orbit_code': 13511142513050445, 'p': 17}
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id: 1399982
{'charpoly_factorization': [[[1583721616, -3809113936, 4580776328, 1385600468, -1601671, -228365048, 1160020608, 710002592, 215427604, 4612008, 4621936, 3572040, 1341742, -27944, 9600, 6464, 2228, -56, 8, 4, 1], 1]], 'hecke_orbit_code': 13511142513050445, 'p': 19}
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id: 1399983
{'charpoly_factorization': [[[144, 720, 1800, 12348, 164113, 984056, 3398288, 6910716, 8275668, 4484152, 1012328, -177028, 149174, 57128, 12032, -2764, 676, 152, 32, -8, 1], 1]], 'hecke_orbit_code': 13511142513050445, 'p': 23}
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id: 1399984
{'charpoly_factorization': [[[206213167449, 0, 2551463464506, 0, 1641823315357, 0, 408594473912, 0, 50679284690, 0, 3524388668, 0, 144311074, 0, 3491704, 0, 48149, 0, 346, 0, 1], 1]], 'hecke_orbit_code': 13511142513050445, 'p': 29}
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id: 1399985
{'charpoly_factorization': [[[2166784, -14602240, 49203200, 45220864, 317008128, -1365233664, 2473766912, -2175176448, 1058401664, -187005312, 8238080, 315200, 3495856, -416544, 5408, 12992, 6072, 104, 0, 0, 1], 1]], 'hecke_orbit_code': 13511142513050445, 'p': 31}
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id: 1399986
{'charpoly_factorization': [[[-67143, -251220, -315755, -149268, -2266, 16744, 2646, -476, -99, 4, 1], 2]], 'hecke_orbit_code': 13511142513050445, 'p': 37}
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id: 1399987
{'charpoly_factorization': [[[3748255729, 10823859062, 15628059218, -3650191222, 15790909405, 52094424312, 86371744824, -37685140344, 7450771906, -1066655788, 693030764, -270411476, 59495714, -8376424, 1310520, -294424, 59725, -8154, 722, -38, 1], 1]], 'hecke_orbit_code': 13511142513050445, 'p': 41}
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id: 1399988
{'charpoly_factorization': [[[1370772640000, -13065800176000, 62269675239200, 54606039937720, 23237213308361, 3285847748268, 732318801352, 350615201288, 116671646236, 19786484868, 2498898544, 440759528, 109143454, 18486340, 2096584, 203576, 30348, 4716, 512, 32, 1], 1]], 'hecke_orbit_code': 13511142513050445, 'p': 43}
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id: 1399989
{'charpoly_factorization': [[[-28416, 121344, -59456, -198464, 126304, 1120, -11888, 1912, 16, -20, 1], 2]], 'hecke_orbit_code': 13511142513050445, 'p': 47}
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id: 1399990
{'charpoly_factorization': [[[2978634160384, 1638501455872, 450657394688, 451854140672, 938935450496, 662260749312, 256514576512, 53765212096, 8410884016, 2137889376, 822713344, 169978000, 19301176, 1286456, 475072, 100768, 10713, 78, 50, 10, 1], 1]], 'hecke_orbit_code': 13511142513050445, 'p': 53}
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id: 1399991
{'charpoly_factorization': [[[33856, -20786112, 6380884512, 6574250696, 3389034033, -705437560, 432397472, 474586176, 298674988, -113152504, 36052352, 11552304, 2675222, -647592, 260000, 84672, 14412, -296, 32, 8, 1], 1]], 'hecke_orbit_code': 13511142513050445, 'p': 59}
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id: 1399992
{'charpoly_factorization': [[[909097, -168224, -755207, 162032, 145926, -31536, -7114, 2096, -63, -16, 1], 2]], 'hecke_orbit_code': 13511142513050445, 'p': 61}
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id: 1399993
{'charpoly_factorization': [[[15478905336976, 0, 749220848783304, 0, 295670730295577, 0, 41537219225484, 0, 2847851070212, 0, 107561951348, 0, 2343255070, 0, 29436356, 0, 204964, 0, 724, 0, 1], 1]], 'hecke_orbit_code': 13511142513050445, 'p': 67}
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id: 1399994
{'charpoly_factorization': [[[112163628352758544, -91546094624318288, 37359202640124488, -9576416034716972, 2317098069156521, -735852942828004, 237629606472984, -57549573157988, 10168663564372, -1446803743524, 212220304024, -35358247644, 5435994526, -631053772, 51639528, -2950508, 148052, -10204, 800, -40, 1], 1]], 'hecke_orbit_code': 13511142513050445, 'p': 71}
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id: 1399995
{'charpoly_factorization': [[[64066308213485824, 0, 22328150635406336, 0, 3152858559457536, 0, 234889331028608, 0, 10171828109152, 0, 268328377952, 0, 4383121568, 0, 43858616, 0, 257241, 0, 798, 0, 1], 1]], 'hecke_orbit_code': 13511142513050445, 'p': 73}
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id: 1399996
{'charpoly_factorization': [[[7586504765095936, 0, 5385471164325888, 0, 1241871864168704, 0, 134326970823168, 0, 7680125227520, 0, 243260666240, 0, 4371796960, 0, 45175136, 0, 264160, 0, 808, 0, 1], 1]], 'hecke_orbit_code': 13511142513050445, 'p': 79}
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id: 1399997
{'charpoly_factorization': [[[3393024, 7886976, 7135312, 3116640, 603008, -2352, -19636, -2328, 64, 24, 1], 2]], 'hecke_orbit_code': 13511142513050445, 'p': 83}
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id: 1399998
{'charpoly_factorization': [[[329648222500, -2100183285000, 6690116205000, -12239557692900, 13945249003841, -9400242302920, 4096129094400, -1175553008768, 225768577636, -29888544088, 4064260592, -872332616, 177210598, -19661784, 996608, -45152, 24144, -2560, 72, 12, 1], 1]], 'hecke_orbit_code': 13511142513050445, 'p': 89}
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id: 1399999
{'charpoly_factorization': [[[28761567213630736, 0, 179732783446983720, 0, 29440834135798985, 0, 1945546301273820, 0, 67722170132420, 0, 1366513538228, 0, 16524788494, 0, 119478548, 0, 499972, 0, 1108, 0, 1], 1]], 'hecke_orbit_code': 13511142513050445, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 4, 'label': '845.2.f.d', 'level': 845, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 36613789
{'hecke_orbit_code': 13511142513050445, 'n': 1, 'trace_an': 20}
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id: 36613790
{'hecke_orbit_code': 13511142513050445, 'n': 2, 'trace_an': 0}
-
id: 36613791
{'hecke_orbit_code': 13511142513050445, 'n': 3, 'trace_an': 4}
-
id: 36613792
{'hecke_orbit_code': 13511142513050445, 'n': 4, 'trace_an': -12}
-
id: 36613793
{'hecke_orbit_code': 13511142513050445, 'n': 5, 'trace_an': 0}
-
id: 36613794
{'hecke_orbit_code': 13511142513050445, 'n': 6, 'trace_an': -4}
-
id: 36613795
{'hecke_orbit_code': 13511142513050445, 'n': 7, 'trace_an': -4}
-
id: 36613796
{'hecke_orbit_code': 13511142513050445, 'n': 8, 'trace_an': 0}
-
id: 36613797
{'hecke_orbit_code': 13511142513050445, 'n': 9, 'trace_an': 0}
-
id: 36613798
{'hecke_orbit_code': 13511142513050445, 'n': 10, 'trace_an': -8}
-
id: 36613799
{'hecke_orbit_code': 13511142513050445, 'n': 11, 'trace_an': -8}
-
id: 36613800
{'hecke_orbit_code': 13511142513050445, 'n': 12, 'trace_an': -24}
-
id: 36613801
{'hecke_orbit_code': 13511142513050445, 'n': 13, 'trace_an': 0}
-
id: 36613802
{'hecke_orbit_code': 13511142513050445, 'n': 14, 'trace_an': 0}
-
id: 36613803
{'hecke_orbit_code': 13511142513050445, 'n': 15, 'trace_an': -28}
-
id: 36613804
{'hecke_orbit_code': 13511142513050445, 'n': 16, 'trace_an': 4}
-
id: 36613805
{'hecke_orbit_code': 13511142513050445, 'n': 17, 'trace_an': -14}
-
id: 36613806
{'hecke_orbit_code': 13511142513050445, 'n': 18, 'trace_an': 0}
-
id: 36613807
{'hecke_orbit_code': 13511142513050445, 'n': 19, 'trace_an': -4}
-
id: 36613808
{'hecke_orbit_code': 13511142513050445, 'n': 20, 'trace_an': 12}
-
id: 36613809
{'hecke_orbit_code': 13511142513050445, 'n': 21, 'trace_an': -4}
-
id: 36613810
{'hecke_orbit_code': 13511142513050445, 'n': 22, 'trace_an': -32}
-
id: 36613811
{'hecke_orbit_code': 13511142513050445, 'n': 23, 'trace_an': 8}
-
id: 36613812
{'hecke_orbit_code': 13511142513050445, 'n': 24, 'trace_an': 4}
-
id: 36613813
{'hecke_orbit_code': 13511142513050445, 'n': 25, 'trace_an': 18}
-
id: 36613814
{'hecke_orbit_code': 13511142513050445, 'n': 26, 'trace_an': 0}
-
id: 36613815
{'hecke_orbit_code': 13511142513050445, 'n': 27, 'trace_an': 4}
-
id: 36613816
{'hecke_orbit_code': 13511142513050445, 'n': 28, 'trace_an': 36}
-
id: 36613817
{'hecke_orbit_code': 13511142513050445, 'n': 29, 'trace_an': 0}
-
id: 36613818
{'hecke_orbit_code': 13511142513050445, 'n': 30, 'trace_an': 40}
-
id: 36613819
{'hecke_orbit_code': 13511142513050445, 'n': 31, 'trace_an': 0}
-
id: 36613820
{'hecke_orbit_code': 13511142513050445, 'n': 32, 'trace_an': 0}
-
id: 36613821
{'hecke_orbit_code': 13511142513050445, 'n': 33, 'trace_an': 0}
-
id: 36613822
{'hecke_orbit_code': 13511142513050445, 'n': 34, 'trace_an': -2}
-
id: 36613823
{'hecke_orbit_code': 13511142513050445, 'n': 35, 'trace_an': -20}
-
id: 36613824
{'hecke_orbit_code': 13511142513050445, 'n': 36, 'trace_an': 0}
-
id: 36613825
{'hecke_orbit_code': 13511142513050445, 'n': 37, 'trace_an': -8}
-
id: 36613826
{'hecke_orbit_code': 13511142513050445, 'n': 38, 'trace_an': -8}
-
id: 36613827
{'hecke_orbit_code': 13511142513050445, 'n': 39, 'trace_an': 0}
-
id: 36613828
{'hecke_orbit_code': 13511142513050445, 'n': 40, 'trace_an': -16}
-
id: 36613829
{'hecke_orbit_code': 13511142513050445, 'n': 41, 'trace_an': 38}
-
id: 36613830
{'hecke_orbit_code': 13511142513050445, 'n': 42, 'trace_an': 16}
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id: 36614032
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id: 36614034
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id: 36614035
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id: 36614036
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id: 36614041
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id: 36614042
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id: 36614043
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id: 36614044
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id: 36614045
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id: 36614046
{'hecke_orbit_code': 13511142513050445, 'n': 997, 'trace_an': 70}