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mf_newforms • Show schema
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{'Nk2': 252, 'analytic_conductor': 0.5030575327340664, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 63, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 3, 'char_parity': 1, 'char_values': [63, 3, [29, 10], [1, 2]], 'cm_discs': [], 'conrey_index': 4, 'dim': 10, 'field_disc': -991381711347, 'field_disc_factorization': [[-1, 1], [3, 9], [47, 2], [151, 2]], 'field_poly': [9, -9, 36, -3, 90, -36, 40, -8, 9, -2, 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, [9, -9, 36, -3, 90, -36, 40, -8, 9, -2, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504011977785407, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 63, 7, 1, 3, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '63.2.g.b', 'level': 63, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'minimal_twist': '63.2.g.b', 'nf_label': '10.0.991381711347.1', 'prim_orbit_index': 7, 'qexp_display': 'q+\\beta _{1}q^{2}+(\\beta _{2}-\\beta _{7})q^{3}+(-1-\\beta _{2}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '63.2.g', 'trace_display': [2, 2, -8, -1], 'trace_hash': 1341464987868246152, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.833', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 2, 'embedding_m': 7, 'embedding_root_imag': -0.5805251456961231, 'embedding_root_real': -0.3351663491390034, 'hecke_orbit': 2, 'hecke_orbit_code': 4504011977785407, 'label': '63.2.g.b.16.2', 'level': 63, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 252, 'analytic_conductor': 0.5030575327340664, 'char_conductor': 63, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 3, 'char_parity': 1, 'char_values': [63, 3, [29, 10], [1, 2]], 'conrey_index': 4, 'cusp_dim': 12, 'dim': 12, 'eis_dim': 8, 'eis_new_dim': 8, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 412350414911, 'hecke_orbit_dims': [2, 10], 'label': '63.2.g', 'level': 63, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'mf_dim': 20, 'mf_new_dim': 20, 'num_forms': 2, 'prim_orbit_index': 7, 'relative_dim': 6, 'sturm_bound': 16, 'trace_bound': 1, 'trace_display': [1, -1, -10, 0], 'traces': [12, 1, -1, -3, -10, -2, 0, -12, -1, -6, 2, 19, -3, 11, -16, 3, 9, 1, 0, 4, -8, -6, 0, 12, -6, 16, -7, -6, 8, -26, -3, -7, -16, 0, 4, 40, -3, -38, 20, 12, 10, 41, -6, 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mf_twists_cc • Show schema
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-
id: 35356528
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504011977785407, 'source_is_minimal': True, 'source_label': '63.2.g.b.16.2', 'source_level': 63, 'target_conrey_index': 16, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504011977785407, 'target_is_minimal': True, 'target_label': '63.2.g.b.16.2', 'target_level': 63, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 35356529
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504011977785407, 'source_is_minimal': True, 'source_label': '63.2.g.b.16.2', 'source_level': 63, 'target_conrey_index': 100, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504011977785533, 'target_is_minimal': False, 'target_label': '189.2.g.b.100.4', 'target_level': 189, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
-
id: 35356530
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504011977785407, 'source_is_minimal': True, 'source_label': '63.2.g.b.16.2', 'source_level': 63, 'target_conrey_index': 961, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36030102722577392, 'target_is_minimal': False, 'target_label': '1008.2.t.i.961.4', 'target_level': 1008, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
-
id: 35356531
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504011977785407, 'source_is_minimal': True, 'source_label': '63.2.g.b.16.2', 'source_level': 63, 'target_conrey_index': 295, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014742140420537, 'target_is_minimal': False, 'target_label': '441.2.f.e.295.2', 'target_level': 441, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
-
id: 35356532
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504011977785407, 'source_is_minimal': True, 'source_label': '63.2.g.b.16.2', 'source_level': 63, 'target_conrey_index': 214, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518479206744505, 'target_is_minimal': False, 'target_label': '441.2.h.f.214.4', 'target_level': 441, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
-
id: 35356533
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504011977785407, 'source_is_minimal': True, 'source_label': '63.2.g.b.16.2', 'source_level': 63, 'target_conrey_index': 25, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504080697262143, 'target_is_minimal': True, 'target_label': '63.2.h.b.25.4', 'target_level': 63, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
-
id: 35356534
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504011977785407, 'source_is_minimal': True, 'source_label': '63.2.g.b.16.2', 'source_level': 63, 'target_conrey_index': 295, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518341767791033, 'target_is_minimal': False, 'target_label': '441.2.f.f.295.2', 'target_level': 441, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
-
id: 35356535
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504011977785407, 'source_is_minimal': True, 'source_label': '63.2.g.b.16.2', 'source_level': 63, 'target_conrey_index': 79, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518410487267769, 'target_is_minimal': False, 'target_label': '441.2.g.f.79.2', 'target_level': 441, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
-
id: 35356536
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504011977785407, 'source_is_minimal': True, 'source_label': '63.2.g.b.16.2', 'source_level': 63, 'target_conrey_index': 163, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18014673420943927, 'target_is_minimal': False, 'target_label': '567.2.e.e.163.4', 'target_level': 567, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
-
id: 35356537
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504011977785407, 'source_is_minimal': True, 'source_label': '63.2.g.b.16.2', 'source_level': 63, 'target_conrey_index': 58, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504080697262143, 'target_is_minimal': True, 'target_label': '63.2.h.b.58.4', 'target_level': 63, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
-
id: 35356538
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504011977785407, 'source_is_minimal': True, 'source_label': '63.2.g.b.16.2', 'source_level': 63, 'target_conrey_index': 37, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504080697262269, 'target_is_minimal': False, 'target_label': '189.2.h.b.37.2', 'target_level': 189, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
-
id: 35356539
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504011977785407, 'source_is_minimal': True, 'source_label': '63.2.g.b.16.2', 'source_level': 63, 'target_conrey_index': 163, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518273048314423, 'target_is_minimal': False, 'target_label': '567.2.e.f.163.2', 'target_level': 567, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
-
id: 35356540
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504011977785407, 'source_is_minimal': True, 'source_label': '63.2.g.b.16.2', 'source_level': 63, 'target_conrey_index': 289, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36030102722579408, 'target_is_minimal': False, 'target_label': '3024.2.t.i.289.1', 'target_level': 3024, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
-
id: 35356541
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504011977785407, 'source_is_minimal': True, 'source_label': '63.2.g.b.16.2', 'source_level': 63, 'target_conrey_index': 883, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18014742140421419, 'target_is_minimal': False, 'target_label': '1323.2.f.e.883.4', 'target_level': 1323, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
-
id: 35356542
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504011977785407, 'source_is_minimal': True, 'source_label': '63.2.g.b.16.2', 'source_level': 63, 'target_conrey_index': 883, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518341767791915, 'target_is_minimal': False, 'target_label': '1323.2.f.f.883.4', 'target_level': 1323, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 2}
-
id: 35356543
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504011977785407, 'source_is_minimal': True, 'source_label': '63.2.g.b.16.2', 'source_level': 63, 'target_conrey_index': 46, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504080697262269, 'target_is_minimal': False, 'target_label': '189.2.h.b.46.2', 'target_level': 189, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 2}
-
id: 35356544
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504011977785407, 'source_is_minimal': True, 'source_label': '63.2.g.b.16.2', 'source_level': 63, 'target_conrey_index': 802, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518479206745387, 'target_is_minimal': False, 'target_label': '1323.2.h.f.802.2', 'target_level': 1323, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 2}
-
id: 35356545
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504011977785407, 'source_is_minimal': True, 'source_label': '63.2.g.b.16.2', 'source_level': 63, 'target_conrey_index': 667, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518410487268651, 'target_is_minimal': False, 'target_label': '1323.2.g.f.667.4', 'target_level': 1323, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
-
id: 35356546
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504011977785407, 'source_is_minimal': True, 'source_label': '63.2.g.b.16.2', 'source_level': 63, 'target_conrey_index': 529, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029896564147184, 'target_is_minimal': False, 'target_label': '1008.2.q.i.529.1', 'target_level': 1008, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '28.11', 'twisting_conrey_index': 11, 'weight': 2}
-
id: 35356547
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504011977785407, 'source_is_minimal': True, 'source_label': '63.2.g.b.16.2', 'source_level': 63, 'target_conrey_index': 2305, 'target_dim': 10, 'target_embedding_index': 5, 'target_hecke_orbit_code': 36029896564149200, 'target_is_minimal': False, 'target_label': '3024.2.q.i.2305.5', 'target_level': 3024, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '36.23', 'twisting_conrey_index': 23, 'weight': 2}
-
id: 35356548
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504011977785407, 'source_is_minimal': True, 'source_label': '63.2.g.b.16.2', 'source_level': 63, 'target_conrey_index': 625, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029896564147184, 'target_is_minimal': False, 'target_label': '1008.2.q.i.625.1', 'target_level': 1008, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '36.31', 'twisting_conrey_index': 31, 'weight': 2}
-
id: 35356549
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504011977785407, 'source_is_minimal': True, 'source_label': '63.2.g.b.16.2', 'source_level': 63, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 2, 'target_hecke_orbit_code': 126100789599932289, 'target_is_minimal': False, 'target_label': '3969.2.a.bc.1.2', 'target_level': 3969, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '63.2', 'twisting_conrey_index': 2, 'weight': 2}
-
id: 35356550
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504011977785407, 'source_is_minimal': True, 'source_label': '63.2.g.b.16.2', 'source_level': 63, 'target_conrey_index': 4, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504011977785407, 'target_is_minimal': True, 'target_label': '63.2.g.b.4.2', 'target_level': 63, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '63.4', 'twisting_conrey_index': 4, 'weight': 2}
-
id: 35356551
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504011977785407, 'source_is_minimal': True, 'source_label': '63.2.g.b.16.2', 'source_level': 63, 'target_conrey_index': 442, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518341767791915, 'target_is_minimal': False, 'target_label': '1323.2.f.f.442.4', 'target_level': 1323, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '63.5', 'twisting_conrey_index': 5, 'weight': 2}
-
id: 35356552
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504011977785407, 'source_is_minimal': True, 'source_label': '63.2.g.b.16.2', 'source_level': 63, 'target_conrey_index': 487, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18014673420943927, 'target_is_minimal': False, 'target_label': '567.2.e.e.487.4', 'target_level': 567, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '63.11', 'twisting_conrey_index': 11, 'weight': 2}
-
id: 35356553
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504011977785407, 'source_is_minimal': True, 'source_label': '63.2.g.b.16.2', 'source_level': 63, 'target_conrey_index': 373, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518479206744505, 'target_is_minimal': False, 'target_label': '441.2.h.f.373.4', 'target_level': 441, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '63.13', 'twisting_conrey_index': 13, 'weight': 2}
-
id: 35356554
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504011977785407, 'source_is_minimal': True, 'source_label': '63.2.g.b.16.2', 'source_level': 63, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 4, 'target_hecke_orbit_code': 112589990717820801, 'target_is_minimal': False, 'target_label': '3969.2.a.z.1.4', 'target_level': 3969, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '63.16', 'twisting_conrey_index': 16, 'weight': 2}
-
id: 35356555
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504011977785407, 'source_is_minimal': True, 'source_label': '63.2.g.b.16.2', 'source_level': 63, 'target_conrey_index': 442, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18014742140421419, 'target_is_minimal': False, 'target_label': '1323.2.f.e.442.4', 'target_level': 1323, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '63.23', 'twisting_conrey_index': 23, 'weight': 2}
-
id: 35356556
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504011977785407, 'source_is_minimal': True, 'source_label': '63.2.g.b.16.2', 'source_level': 63, 'target_conrey_index': 487, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518273048314423, 'target_is_minimal': False, 'target_label': '567.2.e.f.487.2', 'target_level': 567, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '63.25', 'twisting_conrey_index': 25, 'weight': 2}
-
id: 35356557
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504011977785407, 'source_is_minimal': True, 'source_label': '63.2.g.b.16.2', 'source_level': 63, 'target_conrey_index': 67, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518410487267769, 'target_is_minimal': False, 'target_label': '441.2.g.f.67.2', 'target_level': 441, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '63.31', 'twisting_conrey_index': 31, 'weight': 2}
-
id: 35356558
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504011977785407, 'source_is_minimal': True, 'source_label': '63.2.g.b.16.2', 'source_level': 63, 'target_conrey_index': 172, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504011977785533, 'target_is_minimal': False, 'target_label': '189.2.g.b.172.4', 'target_level': 189, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '63.32', 'twisting_conrey_index': 32, 'weight': 2}
-
id: 35356559
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504011977785407, 'source_is_minimal': True, 'source_label': '63.2.g.b.16.2', 'source_level': 63, 'target_conrey_index': 148, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518341767791033, 'target_is_minimal': False, 'target_label': '441.2.f.f.148.2', 'target_level': 441, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '63.40', 'twisting_conrey_index': 40, 'weight': 2}
-
id: 35356560
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504011977785407, 'source_is_minimal': True, 'source_label': '63.2.g.b.16.2', 'source_level': 63, 'target_conrey_index': 226, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518479206745387, 'target_is_minimal': False, 'target_label': '1323.2.h.f.226.2', 'target_level': 1323, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '63.41', 'twisting_conrey_index': 41, 'weight': 2}
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id: 35356561
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504011977785407, 'source_is_minimal': True, 'source_label': '63.2.g.b.16.2', 'source_level': 63, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 2, 'target_hecke_orbit_code': 121597189972561793, 'target_is_minimal': False, 'target_label': '3969.2.a.bb.1.2', 'target_level': 3969, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '63.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 35356562
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504011977785407, 'source_is_minimal': True, 'source_label': '63.2.g.b.16.2', 'source_level': 63, 'target_conrey_index': 148, 'target_dim': 10, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014742140420537, 'target_is_minimal': False, 'target_label': '441.2.f.e.148.2', 'target_level': 441, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '63.58', 'twisting_conrey_index': 58, 'weight': 2}
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id: 35356563
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504011977785407, 'source_is_minimal': True, 'source_label': '63.2.g.b.16.2', 'source_level': 63, 'target_conrey_index': 361, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 22518410487268651, 'target_is_minimal': False, 'target_label': '1323.2.g.f.361.4', 'target_level': 1323, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '63.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 35356564
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504011977785407, 'source_is_minimal': True, 'source_label': '63.2.g.b.16.2', 'source_level': 63, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 4, 'target_hecke_orbit_code': 117093590345191297, 'target_is_minimal': False, 'target_label': '3969.2.a.ba.1.4', 'target_level': 3969, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '63.61', 'twisting_conrey_index': 61, 'weight': 2}
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id: 35356565
{'conductor': 84, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504011977785407, 'source_is_minimal': True, 'source_label': '63.2.g.b.16.2', 'source_level': 63, 'target_conrey_index': 2881, 'target_dim': 10, 'target_embedding_index': 5, 'target_hecke_orbit_code': 36029896564149200, 'target_is_minimal': False, 'target_label': '3024.2.q.i.2881.5', 'target_level': 3024, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '84.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 35356566
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504011977785407, 'source_is_minimal': True, 'source_label': '63.2.g.b.16.2', 'source_level': 63, 'target_conrey_index': 193, 'target_dim': 10, 'target_embedding_index': 4, 'target_hecke_orbit_code': 36030102722577392, 'target_is_minimal': False, 'target_label': '1008.2.t.i.193.4', 'target_level': 1008, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '252.67', 'twisting_conrey_index': 67, 'weight': 2}
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id: 35356567
{'conductor': 252, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 10, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4504011977785407, 'source_is_minimal': True, 'source_label': '63.2.g.b.16.2', 'source_level': 63, 'target_conrey_index': 1873, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36030102722579408, 'target_is_minimal': False, 'target_label': '3024.2.t.i.1873.1', 'target_level': 3024, 'twist_class_label': '63.2.g.b.4.2', 'twist_class_level': 63, 'twisting_char_label': '252.95', 'twisting_conrey_index': 95, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 199200
{'charpoly_factorization': [[[9, -9, 36, -3, 90, -36, 40, -8, 9, -2, 1], 1]], 'hecke_orbit_code': 4504011977785407, 'p': 2}
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id: 199201
{'charpoly_factorization': [[[243, -162, 108, -27, 0, 9, 0, -3, 4, -2, 1], 1]], 'hecke_orbit_code': 4504011977785407, 'p': 3}
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id: 199202
{'charpoly_factorization': [[[3, 18, -18, -5, 4, 1], 2]], 'hecke_orbit_code': 4504011977785407, 'p': 5}
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id: 199203
{'charpoly_factorization': [[[16807, 2401, -4116, 392, 434, -75, 62, 8, -12, 1, 1], 1]], 'hecke_orbit_code': 4504011977785407, 'p': 7}
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id: 199204
{'charpoly_factorization': [[[15, 12, -15, -8, 4, 1], 2]], 'hecke_orbit_code': 4504011977785407, 'p': 11}
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id: 199205
{'charpoly_factorization': [[[25, -115, 594, 169, 428, 204, 296, 130, 51, 8, 1], 1]], 'hecke_orbit_code': 4504011977785407, 'p': 13}
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id: 199206
{'charpoly_factorization': [[[81, 162, 864, -1890, 2898, -2259, 1287, -420, 99, -12, 1], 1]], 'hecke_orbit_code': 4504011977785407, 'p': 17}
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id: 199207
{'charpoly_factorization': [[[185761, 111629, 86907, 23428, 13166, 2835, 1376, 133, 42, -1, 1], 1]], 'hecke_orbit_code': 4504011977785407, 'p': 19}
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id: 199208
{'charpoly_factorization': [[[-1611, 1080, -51, -63, 3, 1], 2]], 'hecke_orbit_code': 4504011977785407, 'p': 23}
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id: 199209
{'charpoly_factorization': [[[81, 1215, 19710, -22635, 24462, -5199, 1690, -190, 69, -7, 1], 1]], 'hecke_orbit_code': 4504011977785407, 'p': 29}
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id: 199210
{'charpoly_factorization': [[[81225, 26505, 26889, 6018, 5194, 1071, 540, 65, 30, 3, 1], 1]], 'hecke_orbit_code': 4504011977785407, 'p': 31}
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id: 199211
{'charpoly_factorization': [[[82944, 110592, 228096, -52224, 115264, 27168, 8832, 560, 96, 0, 1], 1]], 'hecke_orbit_code': 4504011977785407, 'p': 37}
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id: 199212
{'charpoly_factorization': [[[2025, -7695, 31536, 4761, 9900, -579, 2020, 118, 69, -5, 1], 1]], 'hecke_orbit_code': 4504011977785407, 'p': 41}
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id: 199213
{'charpoly_factorization': [[[687241, 1214485, 1541055, 921888, 408318, 84651, 14496, 837, 138, 7, 1], 1]], 'hecke_orbit_code': 4504011977785407, 'p': 43}
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id: 199214
{'charpoly_factorization': [[[43758225, -26671680, 16872219, -2443014, 1046070, -230922, 46890, -5565, 516, -27, 1], 1]], 'hecke_orbit_code': 4504011977785407, 'p': 47}
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id: 199215
{'charpoly_factorization': [[[178929, 178929, 267759, 25380, 110088, 45693, 14238, 2415, 306, 21, 1], 1]], 'hecke_orbit_code': 4504011977785407, 'p': 53}
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id: 199216
{'charpoly_factorization': [[[31640625, -607500, 6272289, -3322296, 1440567, -341433, 60354, -6954, 594, -30, 1], 1]], 'hecke_orbit_code': 4504011977785407, 'p': 59}
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id: 199217
{'charpoly_factorization': [[[1, 14, 189, 166, 539, 153, 1268, 490, 162, 14, 1], 1]], 'hecke_orbit_code': 4504011977785407, 'p': 61}
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id: 199218
{'charpoly_factorization': [[[50708641, 48308864, 48443796, 584566, 1478510, 49005, 35105, 274, 207, 2, 1], 1]], 'hecke_orbit_code': 4504011977785407, 'p': 67}
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id: 199219
{'charpoly_factorization': [[[-81, 1053, -567, -168, 3, 1], 2]], 'hecke_orbit_code': 4504011977785407, 'p': 71}
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id: 199220
{'charpoly_factorization': [[[772641, 1052163, 1048686, 533637, 211336, 34167, 5394, -784, 231, -15, 1], 1]], 'hecke_orbit_code': 4504011977785407, 'p': 73}
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id: 199221
{'charpoly_factorization': [[[37249, 4246, 43716, -41598, 48858, -21297, 8151, -828, 111, 4, 1], 1]], 'hecke_orbit_code': 4504011977785407, 'p': 79}
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id: 199222
{'charpoly_factorization': [[[218123361, 40275063, 38540043, -11237130, 3795093, -455571, 56277, -2538, 267, -9, 1], 1]], 'hecke_orbit_code': 4504011977785407, 'p': 83}
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id: 199223
{'charpoly_factorization': [[[7080921, -4502412, 3980484, -540030, 648528, -190791, 45157, -5740, 549, -28, 1], 1]], 'hecke_orbit_code': 4504011977785407, 'p': 89}
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id: 199224
{'charpoly_factorization': [[[2307745521, 121346514, 94916553, 9179814, 3183925, 252807, 40326, 1958, 288, 12, 1], 1]], 'hecke_orbit_code': 4504011977785407, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 2, 'label': '63.2.g.b', 'level': 63, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 22689271
{'hecke_orbit_code': 4504011977785407, 'n': 1, 'trace_an': 10}
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id: 22689272
{'hecke_orbit_code': 4504011977785407, 'n': 2, 'trace_an': 2}
-
id: 22689273
{'hecke_orbit_code': 4504011977785407, 'n': 3, 'trace_an': 2}
-
id: 22689274
{'hecke_orbit_code': 4504011977785407, 'n': 4, 'trace_an': -4}
-
id: 22689275
{'hecke_orbit_code': 4504011977785407, 'n': 5, 'trace_an': -8}
-
id: 22689276
{'hecke_orbit_code': 4504011977785407, 'n': 6, 'trace_an': -2}
-
id: 22689277
{'hecke_orbit_code': 4504011977785407, 'n': 7, 'trace_an': -1}
-
id: 22689278
{'hecke_orbit_code': 4504011977785407, 'n': 8, 'trace_an': -6}
-
id: 22689279
{'hecke_orbit_code': 4504011977785407, 'n': 9, 'trace_an': -4}
-
id: 22689280
{'hecke_orbit_code': 4504011977785407, 'n': 10, 'trace_an': -7}
-
id: 22689281
{'hecke_orbit_code': 4504011977785407, 'n': 11, 'trace_an': -8}
-
id: 22689282
{'hecke_orbit_code': 4504011977785407, 'n': 12, 'trace_an': 22}
-
id: 22689283
{'hecke_orbit_code': 4504011977785407, 'n': 13, 'trace_an': -8}
-
id: 22689284
{'hecke_orbit_code': 4504011977785407, 'n': 14, 'trace_an': 16}
-
id: 22689285
{'hecke_orbit_code': 4504011977785407, 'n': 15, 'trace_an': -19}
-
id: 22689286
{'hecke_orbit_code': 4504011977785407, 'n': 16, 'trace_an': 2}
-
id: 22689287
{'hecke_orbit_code': 4504011977785407, 'n': 17, 'trace_an': 12}
-
id: 22689288
{'hecke_orbit_code': 4504011977785407, 'n': 18, 'trace_an': -2}
-
id: 22689289
{'hecke_orbit_code': 4504011977785407, 'n': 19, 'trace_an': 1}
-
id: 22689290
{'hecke_orbit_code': 4504011977785407, 'n': 20, 'trace_an': 5}
-
id: 22689291
{'hecke_orbit_code': 4504011977785407, 'n': 21, 'trace_an': -2}
-
id: 22689292
{'hecke_orbit_code': 4504011977785407, 'n': 22, 'trace_an': -1}
-
id: 22689293
{'hecke_orbit_code': 4504011977785407, 'n': 23, 'trace_an': -6}
-
id: 22689294
{'hecke_orbit_code': 4504011977785407, 'n': 24, 'trace_an': 3}
-
id: 22689295
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id: 22689507
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id: 22689509
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id: 22689510
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id: 22689511
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id: 22689512
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id: 22689513
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id: 22689514
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id: 22689515
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id: 22689516
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id: 22689517
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id: 22689518
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id: 22689519
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id: 22689520
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id: 22689521
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id: 22689522
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id: 22689523
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id: 22689524
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id: 22689525
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id: 22689526
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id: 22689527
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id: 22689528
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