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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': 6, 'hecke_orbit_code': 22518410487267812, '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.f', '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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'hecke_orbit_code': 22518410487267812, 'label': '484.2.g.f.475.4', '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: 45236187
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22518410487267812, 'source_is_minimal': False, 'source_label': '484.2.g.f.475.4', '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': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45236188
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22518410487267812, 'source_is_minimal': False, 'source_label': '484.2.g.f.475.4', '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': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45236189
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22518410487267812, 'source_is_minimal': False, 'source_label': '484.2.g.f.475.4', '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': '11.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45236190
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22518410487267812, 'source_is_minimal': False, 'source_label': '484.2.g.f.475.4', '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': '11.3', 'twisting_conrey_index': 3, 'weight': 2}
-
id: 45236191
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22518410487267812, 'source_is_minimal': False, 'source_label': '484.2.g.f.475.4', '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': '11.4', 'twisting_conrey_index': 4, 'weight': 2}
-
id: 45236192
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22518410487267812, 'source_is_minimal': False, 'source_label': '484.2.g.f.475.4', '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': '11.5', 'twisting_conrey_index': 5, 'weight': 2}
-
id: 45236193
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22518410487267812, 'source_is_minimal': False, 'source_label': '484.2.g.f.475.4', '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': '11.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 45236194
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22518410487267812, 'source_is_minimal': False, 'source_label': '484.2.g.f.475.4', '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': '11.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 45236195
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22518410487267812, 'source_is_minimal': False, 'source_label': '484.2.g.f.475.4', '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': '11.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 45236196
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22518410487267812, 'source_is_minimal': False, 'source_label': '484.2.g.f.475.4', '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': '11.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 45236197
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22518410487267812, 'source_is_minimal': False, 'source_label': '484.2.g.f.475.4', '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': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 45236198
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22518410487267812, 'source_is_minimal': False, 'source_label': '484.2.g.f.475.4', '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': '33.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 45236199
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22518410487267812, 'source_is_minimal': False, 'source_label': '484.2.g.f.475.4', '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': '33.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 45236200
{'conductor': 44, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22518410487267812, 'source_is_minimal': False, 'source_label': '484.2.g.f.475.4', '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': '44.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45236201
{'conductor': 44, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22518410487267812, 'source_is_minimal': False, 'source_label': '484.2.g.f.475.4', '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': '44.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 45236202
{'conductor': 44, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22518410487267812, 'source_is_minimal': False, 'source_label': '484.2.g.f.475.4', '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': '44.15', 'twisting_conrey_index': 15, 'weight': 2}
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id: 45236203
{'conductor': 44, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22518410487267812, 'source_is_minimal': False, 'source_label': '484.2.g.f.475.4', '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': '44.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 45236204
{'conductor': 44, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22518410487267812, 'source_is_minimal': False, 'source_label': '484.2.g.f.475.4', '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': '44.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 45236205
{'conductor': 44, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22518410487267812, 'source_is_minimal': False, 'source_label': '484.2.g.f.475.4', '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': '44.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 45236206
{'conductor': 44, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22518410487267812, 'source_is_minimal': False, 'source_label': '484.2.g.f.475.4', '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': '44.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 45236207
{'conductor': 44, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22518410487267812, 'source_is_minimal': False, 'source_label': '484.2.g.f.475.4', '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': '44.39', 'twisting_conrey_index': 39, 'weight': 2}
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id: 45236208
{'conductor': 44, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22518410487267812, 'source_is_minimal': False, 'source_label': '484.2.g.f.475.4', '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': '44.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 45236209
{'conductor': 88, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22518410487267812, 'source_is_minimal': False, 'source_label': '484.2.g.f.475.4', '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': '88.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 45236210
{'conductor': 88, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22518410487267812, 'source_is_minimal': False, 'source_label': '484.2.g.f.475.4', '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': '88.53', 'twisting_conrey_index': 53, 'weight': 2}
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id: 45236211
{'conductor': 88, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22518410487267812, 'source_is_minimal': False, 'source_label': '484.2.g.f.475.4', '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': '88.75', 'twisting_conrey_index': 75, 'weight': 2}
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id: 45236212
{'conductor': 88, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22518410487267812, 'source_is_minimal': False, 'source_label': '484.2.g.f.475.4', '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': '88.85', 'twisting_conrey_index': 85, 'weight': 2}
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id: 45236213
{'conductor': 132, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22518410487267812, 'source_is_minimal': False, 'source_label': '484.2.g.f.475.4', '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': '132.107', 'twisting_conrey_index': 107, 'weight': 2}
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id: 45236214
{'conductor': 132, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 475, 'source_dim': 16, 'source_embedding_index': 4, 'source_hecke_orbit_code': 22518410487267812, 'source_is_minimal': False, 'source_label': '484.2.g.f.475.4', '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': '132.119', 'twisting_conrey_index': 119, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 951975
{'charpoly_factorization': [[[256, 640, 832, 800, 720, 640, 552, 440, 324, 220, 138, 80, 45, 25, 13, 5, 1], 1]], 'hecke_orbit_code': 22518410487267812, 'p': 2}
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id: 951976
{'charpoly_factorization': [[[121, 0, -99, 0, 322, 0, -597, 0, 605, 0, -63, 0, 52, 0, -11, 0, 1], 1]], 'hecke_orbit_code': 22518410487267812, 'p': 3}
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id: 951977
{'charpoly_factorization': [[[256, 128, 128, -4, 5, 1, 8, -2, 1], 2]], 'hecke_orbit_code': 22518410487267812, 'p': 5}
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id: 951978
{'charpoly_factorization': [[[30976, 0, 28864, 0, 13792, 0, 4032, 0, 2225, 0, 393, 0, 52, 0, 6, 0, 1], 1]], 'hecke_orbit_code': 22518410487267812, 'p': 7}
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id: 951979
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 22518410487267812, 'p': 11}
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id: 951980
{'charpoly_factorization': [[[16, 80, 256, 210, 71, -15, -14, 0, 1], 2]], 'hecke_orbit_code': 22518410487267812, 'p': 13}
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id: 951981
{'charpoly_factorization': [[[1, -25, 146, 415, 241, -35, 26, 5, 1], 2]], 'hecke_orbit_code': 22518410487267812, 'p': 17}
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id: 951982
{'charpoly_factorization': [[[1771561, 0, 2321264, 0, 1366557, 0, 394572, 0, 87180, 0, 19508, 0, 3822, 0, -34, 0, 1], 1]], 'hecke_orbit_code': 22518410487267812, 'p': 19}
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id: 951983
{'charpoly_factorization': [[[2816, 0, 10752, 0, 2064, 0, 88, 0, 1], 2]], 'hecke_orbit_code': 22518410487267812, 'p': 23}
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id: 951984
{'charpoly_factorization': [[[400, -1200, 800, 50, 935, -515, 150, -20, 1], 2]], 'hecke_orbit_code': 22518410487267812, 'p': 29}
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id: 951985
{'charpoly_factorization': [[[428888770816, 0, -52892020544, 0, 3410341152, 0, -146445872, 0, 9225705, 0, -257673, 0, 3912, 0, -26, 0, 1], 1]], 'hecke_orbit_code': 22518410487267812, 'p': 31}
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id: 951986
{'charpoly_factorization': [[[13456, -21576, 97212, 6222, 2155, -207, 2, 6, 1], 2]], 'hecke_orbit_code': 22518410487267812, 'p': 37}
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id: 951987
{'charpoly_factorization': [[[2588881, 1633135, 399696, 55695, 9471, 2095, 306, 25, 1], 2]], 'hecke_orbit_code': 22518410487267812, 'p': 41}
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id: 951988
{'charpoly_factorization': [[[148016, 0, -58912, 0, 5429, 0, -143, 0, 1], 2]], 'hecke_orbit_code': 22518410487267812, 'p': 43}
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id: 951989
{'charpoly_factorization': [[[1206517709056, 0, -85584181056, 0, 8225935392, 0, -744456528, 0, 45848905, 0, -812607, 0, 7912, 0, -54, 0, 1], 1]], 'hecke_orbit_code': 22518410487267812, 'p': 47}
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id: 951990
{'charpoly_factorization': [[[15376, 9424, 1192, -1218, 575, 93, 82, 6, 1], 2]], 'hecke_orbit_code': 22518410487267812, 'p': 53}
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id: 951991
{'charpoly_factorization': [[[17080137481, 0, 18554985416, 0, 53946611277, 0, -763278932, 0, 75945900, 0, -3165908, 0, 62062, 0, -386, 0, 1], 1]], 'hecke_orbit_code': 22518410487267812, 'p': 59}
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id: 951992
{'charpoly_factorization': [[[633616, 708440, 104504, -77600, 8941, -425, 74, -10, 1], 2]], 'hecke_orbit_code': 22518410487267812, 'p': 61}
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id: 951993
{'charpoly_factorization': [[[1760000, 0, 226000, 0, 10225, 0, 185, 0, 1], 2]], 'hecke_orbit_code': 22518410487267812, 'p': 67}
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id: 951994
{'charpoly_factorization': [[[21908736256, 0, -440495616, 0, 205618912, 0, -15158628, 0, 988205, 0, -60357, 0, 3832, 0, -94, 0, 1], 1]], 'hecke_orbit_code': 22518410487267812, 'p': 71}
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id: 951995
{'charpoly_factorization': [[[6561, -10935, 10206, -1215, -1539, 135, 126, 15, 1], 2]], 'hecke_orbit_code': 22518410487267812, 'p': 73}
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id: 951996
{'charpoly_factorization': [[[28606986496, 0, 4824435264, 0, 756267792, 0, 118485732, 0, 16185325, 0, 526503, 0, 7252, 0, 6, 0, 1], 1]], 'hecke_orbit_code': 22518410487267812, 'p': 79}
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id: 951997
{'charpoly_factorization': [[[435963075625, 0, 21029758750, 0, 2896506375, 0, 226159500, 0, 17693400, 0, 254650, 0, 52830, 0, 370, 0, 1], 1]], 'hecke_orbit_code': 22518410487267812, 'p': 83}
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id: 951998
{'charpoly_factorization': [[[116, -186, -19, 9, 1], 4]], 'hecke_orbit_code': 22518410487267812, 'p': 89}
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id: 951999
{'charpoly_factorization': [[[3721, -1037, 184, -18, 1], 4]], 'hecke_orbit_code': 22518410487267812, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 7, 'hecke_orbit': 6, 'label': '484.2.g.f', '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: 44479435
{'hecke_orbit_code': 22518410487267812, 'n': 1, 'trace_an': 16}
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id: 44479436
{'hecke_orbit_code': 22518410487267812, 'n': 2, 'trace_an': -5}
-
id: 44479437
{'hecke_orbit_code': 22518410487267812, 'n': 3, 'trace_an': 0}
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id: 44479438
{'hecke_orbit_code': 22518410487267812, 'n': 4, 'trace_an': -1}
-
id: 44479439
{'hecke_orbit_code': 22518410487267812, 'n': 5, 'trace_an': 4}
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id: 44479440
{'hecke_orbit_code': 22518410487267812, 'n': 6, 'trace_an': 10}
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id: 44479441
{'hecke_orbit_code': 22518410487267812, 'n': 7, 'trace_an': 0}
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id: 44479442
{'hecke_orbit_code': 22518410487267812, 'n': 8, 'trace_an': -5}
-
id: 44479443
{'hecke_orbit_code': 22518410487267812, 'n': 9, 'trace_an': 10}
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id: 44479444
{'hecke_orbit_code': 22518410487267812, 'n': 10, 'trace_an': 0}
-
id: 44479445
{'hecke_orbit_code': 22518410487267812, 'n': 11, 'trace_an': 0}
-
id: 44479446
{'hecke_orbit_code': 22518410487267812, 'n': 12, 'trace_an': -22}
-
id: 44479447
{'hecke_orbit_code': 22518410487267812, 'n': 13, 'trace_an': 0}
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id: 44479448
{'hecke_orbit_code': 22518410487267812, 'n': 14, 'trace_an': -2}
-
id: 44479449
{'hecke_orbit_code': 22518410487267812, 'n': 15, 'trace_an': 0}
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id: 44479450
{'hecke_orbit_code': 22518410487267812, 'n': 16, 'trace_an': -17}
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id: 44479451
{'hecke_orbit_code': 22518410487267812, 'n': 17, 'trace_an': -10}
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id: 44479452
{'hecke_orbit_code': 22518410487267812, 'n': 18, 'trace_an': -15}
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id: 44479453
{'hecke_orbit_code': 22518410487267812, 'n': 19, 'trace_an': 0}
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id: 44479454
{'hecke_orbit_code': 22518410487267812, 'n': 20, 'trace_an': -24}
-
id: 44479455
{'hecke_orbit_code': 22518410487267812, 'n': 21, 'trace_an': 0}
-
id: 44479456
{'hecke_orbit_code': 22518410487267812, 'n': 22, 'trace_an': 0}
-
id: 44479457
{'hecke_orbit_code': 22518410487267812, 'n': 23, 'trace_an': 0}
-
id: 44479458
{'hecke_orbit_code': 22518410487267812, 'n': 24, 'trace_an': 40}
-
id: 44479459
{'hecke_orbit_code': 22518410487267812, 'n': 25, 'trace_an': -4}
-
id: 44479460
{'hecke_orbit_code': 22518410487267812, 'n': 26, 'trace_an': 16}
-
id: 44479461
{'hecke_orbit_code': 22518410487267812, 'n': 27, 'trace_an': 0}
-
id: 44479462
{'hecke_orbit_code': 22518410487267812, 'n': 28, 'trace_an': -30}
-
id: 44479463
{'hecke_orbit_code': 22518410487267812, 'n': 29, 'trace_an': 40}
-
id: 44479464
{'hecke_orbit_code': 22518410487267812, 'n': 30, 'trace_an': 30}
-
id: 44479465
{'hecke_orbit_code': 22518410487267812, 'n': 31, 'trace_an': 0}
-
id: 44479466
{'hecke_orbit_code': 22518410487267812, 'n': 32, 'trace_an': 0}
-
id: 44479467
{'hecke_orbit_code': 22518410487267812, 'n': 33, 'trace_an': 0}
-
id: 44479468
{'hecke_orbit_code': 22518410487267812, 'n': 34, 'trace_an': -6}
-
id: 44479469
{'hecke_orbit_code': 22518410487267812, 'n': 35, 'trace_an': 0}
-
id: 44479470
{'hecke_orbit_code': 22518410487267812, 'n': 36, 'trace_an': 5}
-
id: 44479471
{'hecke_orbit_code': 22518410487267812, 'n': 37, 'trace_an': -12}
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id: 44479472
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