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mf_newforms • Show schema
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{'Nk2': 1936, 'analytic_conductor': 3.8647594578299707, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 44, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 10, 'char_parity': 1, 'char_values': [484, 10, [243, 365], [5, 9]], 'cm_discs': [], 'conrey_index': 215, 'dim': 16, 'field_disc': 104709172562500000000, 'field_disc_factorization': [[2, 8], [5, 12], [11, 2], [61, 4]], 'field_poly': [256, -640, 832, -800, 560, -240, -8, 120, -116, 60, -2, -30, 35, -25, 13, -5, 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': [[3, [121, 0, -99, 0, 322, 0, -597, 0, 605, 0, -63, 0, 52, 0, -11, 0, 1]], [5, [256, 128, 128, -4, 5, 1, 8, -2, 1]], [13, [16, -80, 256, -210, 71, 15, -14, 0, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40532808996749796, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, 0], [1, 1, 11, 4, -1, 10, 0], [1, 1, 44, 7, 1, 10, 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': '484.2.g.j', 'level': 484, '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': [2, 11], 'level_radical': 22, 'minimal_twist': '44.2.g.a', 'prim_orbit_index': 7, 'qexp_display': 'q-\\beta _{15}q^{2}+(1-\\beta _{1}-\\beta _{3}-\\beta _{4}+\\beta _{6}+\\cdots)q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c10', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '484.2.g', 'trace_display': [5, 0, 4, 0], 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mf_hecke_cc • Show schema
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'label': '484.2.g.j.475.2', 'level': 484, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1936, 'analytic_conductor': 3.8647594578299707, 'char_conductor': 44, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 10, 'char_parity': 1, 'char_values': [484, 10, [243, 365], [5, 9]], 'conrey_index': 215, 'cusp_dim': 216, 'dim': 184, 'eis_dim': 96, 'eis_new_dim': 64, 'hecke_cutter_primes': [3, 5, 13], 'hecke_orbit_code': 412350415332, 'hecke_orbit_dims': [8, 8, 8, 8, 8, 16, 16, 16, 16, 16, 64], 'label': '484.2.g', 'level': 484, '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': [2, 11], 'level_radical': 22, 'mf_dim': 312, 'mf_new_dim': 248, 'num_forms': 11, 'prim_orbit_index': 7, 'relative_dim': 46, 'sturm_bound': 132, 'trace_bound': 9, 'trace_display': [5, 0, 6, 0], 'traces': [184, 5, 0, 1, 6, 5, 0, 5, 40, 0, 0, -18, 10, -12, 0, -27, 10, -20, 0, -12, 0, 0, 0, -25, -16, -20, 0, -20, 10, 0, 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0, -60, 90, -170, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 46960044
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532808996749796, 'source_is_minimal': False, 'source_label': '484.2.g.j.475.2', 'source_level': 484, 'target_conrey_index': 475, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532808996749796, 'target_is_minimal': False, 'target_label': '484.2.g.j.475.2', 'target_level': 484, 'twist_class_label': '44.2.g.a.7.1', 'twist_class_level': 44, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46960045
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532808996749796, 'source_is_minimal': False, 'source_label': '484.2.g.j.475.2', 'source_level': 484, 'target_conrey_index': 475, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532808996749796, 'target_is_minimal': False, 'target_label': '484.2.g.j.475.1', 'target_level': 484, 'twist_class_label': '44.2.g.a.7.1', 'twist_class_level': 44, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46960046
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532808996749796, 'source_is_minimal': False, 'source_label': '484.2.g.j.475.2', 'source_level': 484, 'target_conrey_index': 19, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 412350414892, 'target_is_minimal': True, 'target_label': '44.2.g.a.19.3', 'target_level': 44, 'twist_class_label': '44.2.g.a.7.1', 'twist_class_level': 44, 'twisting_char_label': '11.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46960047
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532808996749796, 'source_is_minimal': False, 'source_label': '484.2.g.j.475.2', 'source_level': 484, 'target_conrey_index': 7, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350414892, 'target_is_minimal': True, 'target_label': '44.2.g.a.7.1', 'target_level': 44, 'twist_class_label': '44.2.g.a.7.1', 'twist_class_level': 44, 'twisting_char_label': '11.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46960048
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532808996749796, 'source_is_minimal': False, 'source_label': '484.2.g.j.475.2', 'source_level': 484, 'target_conrey_index': 483, 'target_dim': 16, 'target_embedding_index': 13, 'target_hecke_orbit_code': 13510936354619876, 'target_is_minimal': False, 'target_label': '484.2.c.d.483.13', 'target_level': 484, 'twist_class_label': '44.2.g.a.7.1', 'twist_class_level': 44, 'twisting_char_label': '11.4', 'twisting_conrey_index': 4, 'weight': 2}
-
id: 46960049
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532808996749796, 'source_is_minimal': False, 'source_label': '484.2.g.j.475.2', 'source_level': 484, 'target_conrey_index': 215, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518410487267812, 'target_is_minimal': False, 'target_label': '484.2.g.f.215.4', 'target_level': 484, 'twist_class_label': '44.2.g.a.7.1', 'twist_class_level': 44, 'twisting_char_label': '11.5', 'twisting_conrey_index': 5, 'weight': 2}
-
id: 46960050
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532808996749796, 'source_is_minimal': False, 'source_label': '484.2.g.j.475.2', 'source_level': 484, 'target_conrey_index': 215, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532808996749796, 'target_is_minimal': False, 'target_label': '484.2.g.j.215.1', 'target_level': 484, 'twist_class_label': '44.2.g.a.7.1', 'twist_class_level': 44, 'twisting_char_label': '11.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 46960051
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532808996749796, 'source_is_minimal': False, 'source_label': '484.2.g.j.475.2', 'source_level': 484, 'target_conrey_index': 483, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13510936354619876, 'target_is_minimal': False, 'target_label': '484.2.c.d.483.4', 'target_level': 484, 'twist_class_label': '44.2.g.a.7.1', 'twist_class_level': 44, 'twisting_char_label': '11.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 46960052
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532808996749796, 'source_is_minimal': False, 'source_label': '484.2.g.j.475.2', 'source_level': 484, 'target_conrey_index': 403, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36029209369379300, 'target_is_minimal': False, 'target_label': '484.2.g.i.403.4', 'target_level': 484, 'twist_class_label': '44.2.g.a.7.1', 'twist_class_level': 44, 'twisting_char_label': '11.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 46960053
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532808996749796, 'source_is_minimal': False, 'source_label': '484.2.g.j.475.2', 'source_level': 484, 'target_conrey_index': 239, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029209369379300, 'target_is_minimal': False, 'target_label': '484.2.g.i.239.2', 'target_level': 484, 'twist_class_label': '44.2.g.a.7.1', 'twist_class_level': 44, 'twisting_char_label': '11.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 46960054
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532808996749796, 'source_is_minimal': False, 'source_label': '484.2.g.j.475.2', 'source_level': 484, 'target_conrey_index': 475, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518410487267812, 'target_is_minimal': False, 'target_label': '484.2.g.f.475.3', 'target_level': 484, 'twist_class_label': '44.2.g.a.7.1', 'twist_class_level': 44, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 46960055
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532808996749796, 'source_is_minimal': False, 'source_label': '484.2.g.j.475.2', 'source_level': 484, 'target_conrey_index': 19, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1168264659340, 'target_is_minimal': False, 'target_label': '396.2.r.a.19.2', 'target_level': 396, 'twist_class_label': '44.2.g.a.7.1', 'twist_class_level': 44, 'twisting_char_label': '33.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46960056
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532808996749796, 'source_is_minimal': False, 'source_label': '484.2.g.j.475.2', 'source_level': 484, 'target_conrey_index': 271, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 1168264659340, 'target_is_minimal': False, 'target_label': '396.2.r.a.271.4', 'target_level': 396, 'twist_class_label': '44.2.g.a.7.1', 'twist_class_level': 44, 'twisting_char_label': '33.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 46960057
{'conductor': 44, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532808996749796, 'source_is_minimal': False, 'source_label': '484.2.g.j.475.2', 'source_level': 484, 'target_conrey_index': 7, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 412350414892, 'target_is_minimal': True, 'target_label': '44.2.g.a.7.3', 'target_level': 44, 'twist_class_label': '44.2.g.a.7.1', 'twist_class_level': 44, 'twisting_char_label': '44.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46960058
{'conductor': 44, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532808996749796, 'source_is_minimal': False, 'source_label': '484.2.g.j.475.2', 'source_level': 484, 'target_conrey_index': 483, 'target_dim': 16, 'target_embedding_index': 14, 'target_hecke_orbit_code': 13510936354619876, 'target_is_minimal': False, 'target_label': '484.2.c.d.483.14', 'target_level': 484, 'twist_class_label': '44.2.g.a.7.1', 'twist_class_level': 44, 'twisting_char_label': '44.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 46960059
{'conductor': 44, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532808996749796, 'source_is_minimal': False, 'source_label': '484.2.g.j.475.2', 'source_level': 484, 'target_conrey_index': 483, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13510936354619876, 'target_is_minimal': False, 'target_label': '484.2.c.d.483.3', 'target_level': 484, 'twist_class_label': '44.2.g.a.7.1', 'twist_class_level': 44, 'twisting_char_label': '44.15', 'twisting_conrey_index': 15, 'weight': 2}
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id: 46960060
{'conductor': 44, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532808996749796, 'source_is_minimal': False, 'source_label': '484.2.g.j.475.2', 'source_level': 484, 'target_conrey_index': 403, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029209369379300, 'target_is_minimal': False, 'target_label': '484.2.g.i.403.2', 'target_level': 484, 'twist_class_label': '44.2.g.a.7.1', 'twist_class_level': 44, 'twisting_char_label': '44.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 46960061
{'conductor': 44, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532808996749796, 'source_is_minimal': False, 'source_label': '484.2.g.j.475.2', 'source_level': 484, 'target_conrey_index': 215, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518410487267812, 'target_is_minimal': False, 'target_label': '484.2.g.f.215.3', 'target_level': 484, 'twist_class_label': '44.2.g.a.7.1', 'twist_class_level': 44, 'twisting_char_label': '44.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 46960062
{'conductor': 44, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532808996749796, 'source_is_minimal': False, 'source_label': '484.2.g.j.475.2', 'source_level': 484, 'target_conrey_index': 239, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36029209369379300, 'target_is_minimal': False, 'target_label': '484.2.g.i.239.4', 'target_level': 484, 'twist_class_label': '44.2.g.a.7.1', 'twist_class_level': 44, 'twisting_char_label': '44.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 46960063
{'conductor': 44, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532808996749796, 'source_is_minimal': False, 'source_label': '484.2.g.j.475.2', 'source_level': 484, 'target_conrey_index': 19, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350414892, 'target_is_minimal': True, 'target_label': '44.2.g.a.19.1', 'target_level': 44, 'twist_class_label': '44.2.g.a.7.1', 'twist_class_level': 44, 'twisting_char_label': '44.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 46960064
{'conductor': 44, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532808996749796, 'source_is_minimal': False, 'source_label': '484.2.g.j.475.2', 'source_level': 484, 'target_conrey_index': 215, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 40532808996749796, 'target_is_minimal': False, 'target_label': '484.2.g.j.215.2', 'target_level': 484, 'twist_class_label': '44.2.g.a.7.1', 'twist_class_level': 44, 'twisting_char_label': '44.39', 'twisting_conrey_index': 39, 'weight': 2}
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id: 46960065
{'conductor': 44, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532808996749796, 'source_is_minimal': False, 'source_label': '484.2.g.j.475.2', 'source_level': 484, 'target_conrey_index': 475, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518410487267812, 'target_is_minimal': False, 'target_label': '484.2.g.f.475.4', 'target_level': 484, 'twist_class_label': '44.2.g.a.7.1', 'twist_class_level': 44, 'twisting_char_label': '44.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 46960066
{'conductor': 88, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532808996749796, 'source_is_minimal': False, 'source_label': '484.2.g.j.475.2', 'source_level': 484, 'target_conrey_index': 447, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9008573677830848, 'target_is_minimal': False, 'target_label': '704.2.u.c.447.3', 'target_level': 704, 'twist_class_label': '44.2.g.a.7.1', 'twist_class_level': 44, 'twisting_char_label': '88.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46960067
{'conductor': 88, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532808996749796, 'source_is_minimal': False, 'source_label': '484.2.g.j.475.2', 'source_level': 484, 'target_conrey_index': 63, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9008573677830848, 'target_is_minimal': False, 'target_label': '704.2.u.c.63.3', 'target_level': 704, 'twist_class_label': '44.2.g.a.7.1', 'twist_class_level': 44, 'twisting_char_label': '88.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 46960068
{'conductor': 88, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532808996749796, 'source_is_minimal': False, 'source_label': '484.2.g.j.475.2', 'source_level': 484, 'target_conrey_index': 63, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008573677830848, 'target_is_minimal': False, 'target_label': '704.2.u.c.63.2', 'target_level': 704, 'twist_class_label': '44.2.g.a.7.1', 'twist_class_level': 44, 'twisting_char_label': '88.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 46960069
{'conductor': 88, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532808996749796, 'source_is_minimal': False, 'source_label': '484.2.g.j.475.2', 'source_level': 484, 'target_conrey_index': 447, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008573677830848, 'target_is_minimal': False, 'target_label': '704.2.u.c.447.2', 'target_level': 704, 'twist_class_label': '44.2.g.a.7.1', 'twist_class_level': 44, 'twisting_char_label': '88.69', 'twisting_conrey_index': 69, 'weight': 2}
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id: 46960070
{'conductor': 132, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532808996749796, 'source_is_minimal': False, 'source_label': '484.2.g.j.475.2', 'source_level': 484, 'target_conrey_index': 19, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 1168264659340, 'target_is_minimal': False, 'target_label': '396.2.r.a.19.4', 'target_level': 396, 'twist_class_label': '44.2.g.a.7.1', 'twist_class_level': 44, 'twisting_char_label': '132.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 46960071
{'conductor': 132, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 2, 'source_hecke_orbit_code': 40532808996749796, 'source_is_minimal': False, 'source_label': '484.2.g.j.475.2', 'source_level': 484, 'target_conrey_index': 271, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1168264659340, 'target_is_minimal': False, 'target_label': '396.2.r.a.271.2', 'target_level': 396, 'twist_class_label': '44.2.g.a.7.1', 'twist_class_level': 44, 'twisting_char_label': '132.47', 'twisting_conrey_index': 47, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 952100
{'charpoly_factorization': [[[256, -640, 832, -800, 720, -640, 552, -440, 324, -220, 138, -80, 45, -25, 13, -5, 1], 1]], 'hecke_orbit_code': 40532808996749796, 'p': 2}
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id: 952101
{'charpoly_factorization': [[[121, 0, -99, 0, 322, 0, -597, 0, 605, 0, -63, 0, 52, 0, -11, 0, 1], 1]], 'hecke_orbit_code': 40532808996749796, 'p': 3}
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id: 952102
{'charpoly_factorization': [[[256, 128, 128, -4, 5, 1, 8, -2, 1], 2]], 'hecke_orbit_code': 40532808996749796, 'p': 5}
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id: 952103
{'charpoly_factorization': [[[30976, 0, 28864, 0, 13792, 0, 4032, 0, 2225, 0, 393, 0, 52, 0, 6, 0, 1], 1]], 'hecke_orbit_code': 40532808996749796, 'p': 7}
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id: 952104
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 40532808996749796, 'p': 11}
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id: 952105
{'charpoly_factorization': [[[16, -80, 256, -210, 71, 15, -14, 0, 1], 2]], 'hecke_orbit_code': 40532808996749796, 'p': 13}
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id: 952106
{'charpoly_factorization': [[[1, 25, 146, -415, 241, 35, 26, -5, 1], 2]], 'hecke_orbit_code': 40532808996749796, 'p': 17}
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id: 952107
{'charpoly_factorization': [[[1771561, 0, 2321264, 0, 1366557, 0, 394572, 0, 87180, 0, 19508, 0, 3822, 0, -34, 0, 1], 1]], 'hecke_orbit_code': 40532808996749796, 'p': 19}
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id: 952108
{'charpoly_factorization': [[[2816, 0, 10752, 0, 2064, 0, 88, 0, 1], 2]], 'hecke_orbit_code': 40532808996749796, 'p': 23}
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id: 952109
{'charpoly_factorization': [[[400, 1200, 800, -50, 935, 515, 150, 20, 1], 2]], 'hecke_orbit_code': 40532808996749796, 'p': 29}
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id: 952110
{'charpoly_factorization': [[[428888770816, 0, -52892020544, 0, 3410341152, 0, -146445872, 0, 9225705, 0, -257673, 0, 3912, 0, -26, 0, 1], 1]], 'hecke_orbit_code': 40532808996749796, 'p': 31}
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id: 952111
{'charpoly_factorization': [[[13456, -21576, 97212, 6222, 2155, -207, 2, 6, 1], 2]], 'hecke_orbit_code': 40532808996749796, 'p': 37}
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id: 952112
{'charpoly_factorization': [[[2588881, -1633135, 399696, -55695, 9471, -2095, 306, -25, 1], 2]], 'hecke_orbit_code': 40532808996749796, 'p': 41}
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id: 952113
{'charpoly_factorization': [[[148016, 0, -58912, 0, 5429, 0, -143, 0, 1], 2]], 'hecke_orbit_code': 40532808996749796, 'p': 43}
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id: 952114
{'charpoly_factorization': [[[1206517709056, 0, -85584181056, 0, 8225935392, 0, -744456528, 0, 45848905, 0, -812607, 0, 7912, 0, -54, 0, 1], 1]], 'hecke_orbit_code': 40532808996749796, 'p': 47}
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id: 952115
{'charpoly_factorization': [[[15376, 9424, 1192, -1218, 575, 93, 82, 6, 1], 2]], 'hecke_orbit_code': 40532808996749796, 'p': 53}
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id: 952116
{'charpoly_factorization': [[[17080137481, 0, 18554985416, 0, 53946611277, 0, -763278932, 0, 75945900, 0, -3165908, 0, 62062, 0, -386, 0, 1], 1]], 'hecke_orbit_code': 40532808996749796, 'p': 59}
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id: 952117
{'charpoly_factorization': [[[633616, -708440, 104504, 77600, 8941, 425, 74, 10, 1], 2]], 'hecke_orbit_code': 40532808996749796, 'p': 61}
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id: 952118
{'charpoly_factorization': [[[1760000, 0, 226000, 0, 10225, 0, 185, 0, 1], 2]], 'hecke_orbit_code': 40532808996749796, 'p': 67}
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id: 952119
{'charpoly_factorization': [[[21908736256, 0, -440495616, 0, 205618912, 0, -15158628, 0, 988205, 0, -60357, 0, 3832, 0, -94, 0, 1], 1]], 'hecke_orbit_code': 40532808996749796, 'p': 71}
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id: 952120
{'charpoly_factorization': [[[6561, 10935, 10206, 1215, -1539, -135, 126, -15, 1], 2]], 'hecke_orbit_code': 40532808996749796, 'p': 73}
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id: 952121
{'charpoly_factorization': [[[28606986496, 0, 4824435264, 0, 756267792, 0, 118485732, 0, 16185325, 0, 526503, 0, 7252, 0, 6, 0, 1], 1]], 'hecke_orbit_code': 40532808996749796, 'p': 79}
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id: 952122
{'charpoly_factorization': [[[435963075625, 0, 21029758750, 0, 2896506375, 0, 226159500, 0, 17693400, 0, 254650, 0, 52830, 0, 370, 0, 1], 1]], 'hecke_orbit_code': 40532808996749796, 'p': 83}
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id: 952123
{'charpoly_factorization': [[[116, -186, -19, 9, 1], 4]], 'hecke_orbit_code': 40532808996749796, 'p': 89}
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id: 952124
{'charpoly_factorization': [[[3721, -1037, 184, -18, 1], 4]], 'hecke_orbit_code': 40532808996749796, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 10, 'label': '484.2.g.j', 'level': 484, 'portrait': 'data:image/png;base64,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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 53922235
{'hecke_orbit_code': 40532808996749796, 'n': 1, 'trace_an': 16}
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id: 53922236
{'hecke_orbit_code': 40532808996749796, 'n': 2, 'trace_an': 5}
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id: 53922237
{'hecke_orbit_code': 40532808996749796, 'n': 3, 'trace_an': 0}
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id: 53922238
{'hecke_orbit_code': 40532808996749796, 'n': 4, 'trace_an': -1}
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id: 53922239
{'hecke_orbit_code': 40532808996749796, 'n': 5, 'trace_an': 4}
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id: 53922240
{'hecke_orbit_code': 40532808996749796, 'n': 6, 'trace_an': -10}
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id: 53922241
{'hecke_orbit_code': 40532808996749796, 'n': 7, 'trace_an': 0}
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id: 53922242
{'hecke_orbit_code': 40532808996749796, 'n': 8, 'trace_an': 5}
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id: 53922243
{'hecke_orbit_code': 40532808996749796, 'n': 9, 'trace_an': 10}
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id: 53922244
{'hecke_orbit_code': 40532808996749796, 'n': 10, 'trace_an': 0}
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id: 53922245
{'hecke_orbit_code': 40532808996749796, 'n': 11, 'trace_an': 0}
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id: 53922246
{'hecke_orbit_code': 40532808996749796, 'n': 12, 'trace_an': -22}
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id: 53922247
{'hecke_orbit_code': 40532808996749796, 'n': 13, 'trace_an': 0}
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id: 53922248
{'hecke_orbit_code': 40532808996749796, 'n': 14, 'trace_an': -2}
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id: 53922249
{'hecke_orbit_code': 40532808996749796, 'n': 15, 'trace_an': 0}
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id: 53922250
{'hecke_orbit_code': 40532808996749796, 'n': 16, 'trace_an': -17}
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id: 53922251
{'hecke_orbit_code': 40532808996749796, 'n': 17, 'trace_an': 10}
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id: 53922252
{'hecke_orbit_code': 40532808996749796, 'n': 18, 'trace_an': 15}
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id: 53922253
{'hecke_orbit_code': 40532808996749796, 'n': 19, 'trace_an': 0}
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id: 53922254
{'hecke_orbit_code': 40532808996749796, 'n': 20, 'trace_an': -24}
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id: 53922255
{'hecke_orbit_code': 40532808996749796, 'n': 21, 'trace_an': 0}
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id: 53922256
{'hecke_orbit_code': 40532808996749796, 'n': 22, 'trace_an': 0}
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id: 53922257
{'hecke_orbit_code': 40532808996749796, 'n': 23, 'trace_an': 0}
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id: 53922258
{'hecke_orbit_code': 40532808996749796, 'n': 24, 'trace_an': -40}
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id: 53922259
{'hecke_orbit_code': 40532808996749796, 'n': 25, 'trace_an': -4}
-
id: 53922260
{'hecke_orbit_code': 40532808996749796, 'n': 26, 'trace_an': 16}
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id: 53922261
{'hecke_orbit_code': 40532808996749796, 'n': 27, 'trace_an': 0}
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id: 53922262
{'hecke_orbit_code': 40532808996749796, 'n': 28, 'trace_an': 30}
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id: 53922263
{'hecke_orbit_code': 40532808996749796, 'n': 29, 'trace_an': -40}
-
id: 53922264
{'hecke_orbit_code': 40532808996749796, 'n': 30, 'trace_an': -30}
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id: 53922265
{'hecke_orbit_code': 40532808996749796, 'n': 31, 'trace_an': 0}
-
id: 53922266
{'hecke_orbit_code': 40532808996749796, 'n': 32, 'trace_an': 0}
-
id: 53922267
{'hecke_orbit_code': 40532808996749796, 'n': 33, 'trace_an': 0}
-
id: 53922268
{'hecke_orbit_code': 40532808996749796, 'n': 34, 'trace_an': -6}
-
id: 53922269
{'hecke_orbit_code': 40532808996749796, 'n': 35, 'trace_an': 0}
-
id: 53922270
{'hecke_orbit_code': 40532808996749796, 'n': 36, 'trace_an': 5}
-
id: 53922271
{'hecke_orbit_code': 40532808996749796, 'n': 37, 'trace_an': -12}
-
id: 53922272
{'hecke_orbit_code': 40532808996749796, 'n': 38, 'trace_an': 17}
-
id: 53922273
{'hecke_orbit_code': 40532808996749796, 'n': 39, 'trace_an': 0}
-
id: 53922274
{'hecke_orbit_code': 40532808996749796, 'n': 40, 'trace_an': 0}
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id: 53922477
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id: 53922478
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id: 53922479
{'hecke_orbit_code': 40532808996749796, 'n': 911, 'trace_an': 0}
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id: 53922480
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id: 53922481
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id: 53922482
{'hecke_orbit_code': 40532808996749796, 'n': 937, 'trace_an': 10}
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id: 53922483
{'hecke_orbit_code': 40532808996749796, 'n': 941, 'trace_an': 160}
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id: 53922484
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id: 53922485
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id: 53922486
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id: 53922487
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id: 53922488
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id: 53922489
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id: 53922490
{'hecke_orbit_code': 40532808996749796, 'n': 983, 'trace_an': 0}
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id: 53922491
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id: 53922492
{'hecke_orbit_code': 40532808996749796, 'n': 997, 'trace_an': 160}