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{'Nk2': 18600, 'analytic_conductor': 37.130436939895375, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, 1], [31, 1]], 'atkin_lehner_string': '+-++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [4650, 1, [3101, 2977, 1801], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 17, 'field_disc_factorization': [[17, 1]], 'field_poly': [-4, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [-16, 2, 1]], [11, [-4, 1, 1]], [13, [-2, 3, 1]], [19, [-4, 1, 1]]], 'hecke_orbit': 56, 'hecke_orbit_code': 247697979538936362, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4650.2.a.cd', 'level': 4650, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 31], 'level_radical': 930, 'minimal_twist': '186.2.a.d', 'nf_label': '2.2.17.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{3}+q^{4}-q^{6}-2\\beta q^{7}-q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4650.2.a', 'trace_display': [-2, 2, 0, -2], 'trace_hash': 473003267175710623, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.055', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.940', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.193', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.587', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.947', 'prec': 17}, {'__RealLiteral__': 0, 'data': '67.468', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.015', 'prec': 17}, 'traces': [2, -2, 2, 2, 0, -2, -2, -2, 2, 0, -1, 2, -3, 2, 0, 2, 1, -2, -1, 0, -2, 1, 16, -2, 0, 3, 2, -2, -6, 0, -2, -2, -1, -1, 0, 2, 0, 1, -3, 0, -8, 2, 10, -1, 0, -16, -5, 2, 22, 0, 1, -3, 4, -2, 0, 2, -1, 6, 6, 0, 3, 2, -2, 2, 0, 1, -13, 1, 16, 0, -7, -2, -20, 0, 0, -1, 18, 3, 5, 0, 2, 8, -5, -2, 0, -10, -6, 1, 16, 0, -14, 16, -2, 5, 0, -2, 9, -22, -1, 0, 16, -1, 2, 3, 0, -4, 8, 2, 28, 0, 0, -2, 28, 1, 0, -6, -3, -6, 50, 0, -13, -3, -8, -2, 0, 2, -4, -2, 10, 0, 26, -1, 18, 13, 0, -1, 12, -16, -24, 0, -5, 7, -7, 2, 0, 20, 22, 0, 7, 0, -17, 1, 1, -18, 0, -3, -6, -5, 4, 0, -16, -2, 9, -8, 0, 5, 2, 2, -13, 0, -1, 10, -5, 6, 0, -1, 6, -16, 9, 0, -8, 14, 3, -16, 0, 2, 25, -5, -2, 0, 32, 2, -45, -9, 0, 22, 0, 1, 21, 0, -13, -16, 40, 1, 0, -2, 16, -3, 9, 0, -20, 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mf_newspaces • Show schema
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'char_values': [4650, 1, [3101, 2977, 1801], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 937, 'dim': 94, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 19], 'hecke_orbit_code': 33559082, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3], 'label': '4650.2.a', 'level': 4650, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 31], 'level_radical': 930, 'mf_dim': 984, 'mf_new_dim': 94, 'num_forms': 68, 'plus_dim': 38, 'prim_orbit_index': 1, 'relative_dim': 94, 'sturm_bound': 1920, 'trace_bound': 13, 'trace_display': [-2, 0, 0, -8], 'traces': [94, -2, 0, 94, 0, 0, -8, -2, 94, 0, -16, 0, -12, -8, 0, 94, -4, -2, -12, 0, 0, 0, 0, 0, 0, 20, 0, -8, 36, 0, 0, -2, -4, 36, 0, 94, 12, 0, 0, 0, 28, 8, -8, -16, 0, -8, 24, 0, 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mf_twists_cc • Show schema
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id: 49073401
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 247697979538936362, 'source_is_minimal': False, 'source_label': '4650.2.a.cd.1.1', 'source_level': 4650, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 247697979538936362, 'target_is_minimal': False, 'target_label': '4650.2.a.cd.1.1', 'target_level': 4650, 'twist_class_label': '186.2.a.d.1.1', 'twist_class_level': 186, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49073402
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 247697979538936362, 'source_is_minimal': False, 'source_label': '4650.2.a.cd.1.1', 'source_level': 4650, 'target_conrey_index': 3349, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 126100995758363178, 'target_is_minimal': False, 'target_label': '4650.2.d.bc.3349.1', 'target_level': 4650, 'twist_class_label': '186.2.a.d.1.1', 'twist_class_level': 186, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49073403
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 247697979538936362, 'source_is_minimal': False, 'source_label': '4650.2.a.cd.1.1', 'source_level': 4650, 'target_conrey_index': 3349, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 126100995758363178, 'target_is_minimal': False, 'target_label': '4650.2.d.bc.3349.4', 'target_level': 4650, 'twist_class_label': '186.2.a.d.1.1', 'twist_class_level': 186, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 49073404
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 247697979538936362, 'source_is_minimal': False, 'source_label': '4650.2.a.cd.1.1', 'source_level': 4650, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915666106, 'target_is_minimal': True, 'target_label': '186.2.a.d.1.1', 'target_level': 186, 'twist_class_label': '186.2.a.d.1.1', 'twist_class_level': 186, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 49073405
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 247697979538936362, 'source_is_minimal': False, 'source_label': '4650.2.a.cd.1.1', 'source_level': 4650, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36028797052518958, 'target_is_minimal': False, 'target_label': '558.2.a.i.1.2', 'target_level': 558, 'twist_class_label': '186.2.a.d.1.1', 'twist_class_level': 186, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 49073406
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 247697979538936362, 'source_is_minimal': False, 'source_label': '4650.2.a.cd.1.1', 'source_level': 4650, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561193698854352, 'target_is_minimal': False, 'target_label': '1488.2.a.r.1.1', 'target_level': 1488, 'twist_class_label': '186.2.a.d.1.1', 'twist_class_level': 186, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 49073407
{'conductor': 35, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 247697979538936362, 'source_is_minimal': False, 'source_label': '4650.2.a.cd.1.1', 'source_level': 4650, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 135107988854678426, 'target_is_minimal': False, 'target_label': '9114.2.a.be.1.2', 'target_level': 9114, 'twist_class_label': '186.2.a.d.1.1', 'twist_class_level': 186, 'twisting_char_label': '35.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 49073408
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 247697979538936362, 'source_is_minimal': False, 'source_label': '4650.2.a.cd.1.1', 'source_level': 4650, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 162129586618898240, 'target_is_minimal': False, 'target_label': '5952.2.a.bk.1.2', 'target_level': 5952, 'twist_class_label': '186.2.a.d.1.1', 'twist_class_level': 186, 'twisting_char_label': '40.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 49073409
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 247697979538936362, 'source_is_minimal': False, 'source_label': '4650.2.a.cd.1.1', 'source_level': 4650, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 198158383637862208, 'target_is_minimal': False, 'target_label': '5952.2.a.bs.1.2', 'target_level': 5952, 'twist_class_label': '186.2.a.d.1.1', 'twist_class_level': 186, 'twisting_char_label': '40.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 49073410
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 247697979538936362, 'source_is_minimal': False, 'source_label': '4650.2.a.cd.1.1', 'source_level': 4650, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 121597189972562288, 'target_is_minimal': False, 'target_label': '4464.2.a.bb.1.2', 'target_level': 4464, 'twist_class_label': '186.2.a.d.1.1', 'twist_class_level': 186, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 49073411
{'conductor': 155, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 247697979538936362, 'source_is_minimal': False, 'source_label': '4650.2.a.cd.1.1', 'source_level': 4650, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 94575592208340614, 'target_is_minimal': False, 'target_label': '5766.2.a.v.1.1', 'target_level': 5766, 'twist_class_label': '186.2.a.d.1.1', 'twist_class_level': 186, 'twisting_char_label': '155.154', 'twisting_conrey_index': 154, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 3660625
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 247697979538936362, 'p': 2}
-
id: 3660626
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 247697979538936362, 'p': 3}
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id: 3660627
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 247697979538936362, 'p': 5}
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id: 3660628
{'charpoly_factorization': [[[-16, 2, 1], 1]], 'hecke_orbit_code': 247697979538936362, 'p': 7}
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id: 3660629
{'charpoly_factorization': [[[-4, 1, 1], 1]], 'hecke_orbit_code': 247697979538936362, 'p': 11}
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id: 3660630
{'charpoly_factorization': [[[-2, 3, 1], 1]], 'hecke_orbit_code': 247697979538936362, 'p': 13}
-
id: 3660631
{'charpoly_factorization': [[[-38, -1, 1], 1]], 'hecke_orbit_code': 247697979538936362, 'p': 17}
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id: 3660632
{'charpoly_factorization': [[[-4, 1, 1], 1]], 'hecke_orbit_code': 247697979538936362, 'p': 19}
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id: 3660633
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 247697979538936362, 'p': 23}
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id: 3660634
{'charpoly_factorization': [[[-8, 6, 1], 1]], 'hecke_orbit_code': 247697979538936362, 'p': 29}
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id: 3660635
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 247697979538936362, 'p': 31}
-
id: 3660636
{'charpoly_factorization': [[[-68, 0, 1], 1]], 'hecke_orbit_code': 247697979538936362, 'p': 37}
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id: 3660637
{'charpoly_factorization': [[[-52, 8, 1], 1]], 'hecke_orbit_code': 247697979538936362, 'p': 41}
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id: 3660638
{'charpoly_factorization': [[[8, -10, 1], 1]], 'hecke_orbit_code': 247697979538936362, 'p': 43}
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id: 3660639
{'charpoly_factorization': [[[-32, 5, 1], 1]], 'hecke_orbit_code': 247697979538936362, 'p': 47}
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id: 3660640
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 247697979538936362, 'p': 53}
-
id: 3660641
{'charpoly_factorization': [[[-8, -6, 1], 1]], 'hecke_orbit_code': 247697979538936362, 'p': 59}
-
id: 3660642
{'charpoly_factorization': [[[-2, -3, 1], 1]], 'hecke_orbit_code': 247697979538936362, 'p': 61}
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id: 3660643
{'charpoly_factorization': [[[4, 13, 1], 1]], 'hecke_orbit_code': 247697979538936362, 'p': 67}
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id: 3660644
{'charpoly_factorization': [[[8, 7, 1], 1]], 'hecke_orbit_code': 247697979538936362, 'p': 71}
-
id: 3660645
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 247697979538936362, 'p': 73}
-
id: 3660646
{'charpoly_factorization': [[[-32, -5, 1], 1]], 'hecke_orbit_code': 247697979538936362, 'p': 79}
-
id: 3660647
{'charpoly_factorization': [[[-100, 5, 1], 1]], 'hecke_orbit_code': 247697979538936362, 'p': 83}
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id: 3660648
{'charpoly_factorization': [[[-4, -16, 1], 1]], 'hecke_orbit_code': 247697979538936362, 'p': 89}
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id: 3660649
{'charpoly_factorization': [[[-86, -9, 1], 1]], 'hecke_orbit_code': 247697979538936362, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 56, 'label': '4650.2.a.cd', 'level': 4650, 'portrait': 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'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 278584000
{'hecke_orbit_code': 247697979538936362, 'n': 1, 'trace_an': 2}
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id: 278584001
{'hecke_orbit_code': 247697979538936362, 'n': 2, 'trace_an': -2}
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id: 278584002
{'hecke_orbit_code': 247697979538936362, 'n': 3, 'trace_an': 2}
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id: 278584003
{'hecke_orbit_code': 247697979538936362, 'n': 4, 'trace_an': 2}
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id: 278584004
{'hecke_orbit_code': 247697979538936362, 'n': 5, 'trace_an': 0}
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id: 278584005
{'hecke_orbit_code': 247697979538936362, 'n': 6, 'trace_an': -2}
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id: 278584006
{'hecke_orbit_code': 247697979538936362, 'n': 7, 'trace_an': -2}
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id: 278584007
{'hecke_orbit_code': 247697979538936362, 'n': 8, 'trace_an': -2}
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id: 278584008
{'hecke_orbit_code': 247697979538936362, 'n': 9, 'trace_an': 2}
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id: 278584009
{'hecke_orbit_code': 247697979538936362, 'n': 10, 'trace_an': 0}
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id: 278584010
{'hecke_orbit_code': 247697979538936362, 'n': 11, 'trace_an': -1}
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id: 278584011
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id: 278584989
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id: 278584990
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id: 278584991
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id: 278584992
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id: 278584993
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id: 278584994
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id: 278584996
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id: 278584997
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id: 278584998
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id: 278584999
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