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{'Nk2': 17100, 'analytic_conductor': 34.136046864097366, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, -1], [19, -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': [4275, 1, [1901, 1027, 1351], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 169, 'field_disc_factorization': [[13, 2]], 'field_poly': [-1, -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': [[2, [5, -3, -2, 1]], [7, [-1, 1, 4, 1]], [11, [1, -4, 1, 1]]], 'hecke_orbit': 39, 'hecke_orbit_code': 171136785873637555, 'hecke_ring_generator_nbound': 2, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4275.2.a.bm', 'level': 4275, '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, 5, 19], 'level_radical': 285, 'minimal_twist': '475.2.a.e', 'nf_label': '3.3.169.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1-\\beta _{1})q^{2}+(2-\\beta _{1}+\\beta _{2})q^{4}+(-1+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4275.2.a', 'trace_display': [2, 0, 0, -4], 'trace_hash': 1763661441594950073, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.036', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.845', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.180', 'prec': 17}, {'__RealLiteral__': 0, 'data': '22.078', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '258.189', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.007', 'prec': 17}, 'traces': [3, 2, 0, 4, 0, 0, -4, 3, 0, 0, -1, 0, -3, -7, 0, -6, 14, 0, 3, 0, 0, -5, 8, 0, 0, 11, 0, -1, 5, 0, -1, 3, 0, 5, 0, 0, -5, 2, 0, 0, -1, 0, 5, 3, 0, -12, 9, 0, -7, 0, 0, 22, 31, 0, 0, 9, 0, -1, 6, 0, 3, -5, 0, 1, 0, 0, 13, 23, 0, 0, -7, 0, -1, 1, 0, 4, 10, 0, -18, 0, 0, 34, 3, 0, 0, -40, 0, 12, 20, 0, 17, -11, 0, 45, 0, 0, 13, 4, 0, 0, -12, 0, 16, 36, 0, 12, -4, 0, 5, 0, 0, 8, -14, 0, 0, 11, 0, 30, -10, 0, -24, -11, 0, 16, 0, 0, 30, -27, 0, 0, -5, 0, -4, 39, 0, 27, 37, 0, -7, 0, 0, -22, 14, 0, 0, -18, 0, -37, 9, 0, -4, 3, 0, 11, 0, 0, -4, 1, 0, 0, -15, 0, -49, 29, 0, -50, -13, 0, 42, 0, 0, -28, 0, 0, 0, 2, 0, 48, 3, 0, 1, 20, 0, -18, 0, 0, 4, 38, 0, 0, -21, 0, -19, -13, 0, -31, 29, 0, -33, 0, 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'embedding_root_imag': 0.0, 'embedding_root_real': -0.2738905549642176, 'hecke_orbit': 39, 'hecke_orbit_code': 171136785873637555, 'label': '4275.2.a.bm.1.2', 'level': 4275, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [12, 16, 18, 10, 21, 19, 21, 25], 'Nk2': 17100, 'analytic_conductor': 34.136046864097366, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [4275, 1, [1901, 1027, 1351], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 577, 'dim': 142, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11], 'hecke_orbit_code': 33558707, 'hecke_orbit_dims': [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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 7, 7, 12], 'label': '4275.2.a', 'level': 4275, '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, 5, 19], 'level_radical': 285, 'mf_dim': 624, 'mf_new_dim': 142, 'num_forms': 50, 'plus_dim': 62, 'prim_orbit_index': 1, 'relative_dim': 142, 'sturm_bound': 1200, 'trace_bound': 13, 'trace_display': [1, 0, 0, 5], 'traces': [142, 1, 0, 143, 0, 0, 5, -3, 0, 0, 13, 0, -2, -12, 0, 145, -11, 0, -2, 0, 0, 4, -8, 0, 0, 6, 0, 18, 32, 0, 0, 5, 0, 18, 0, 0, -12, -3, 0, 0, 0, 0, 13, 66, 0, 36, -1, 0, 145, 0, 0, 14, 26, 0, 0, 8, 0, 10, -18, 0, -9, 8, 0, 185, 0, 0, 12, -52, 0, 0, -42, 0, 1, 62, 0, -5, -41, 0, 8, 0, 0, 38, 16, 0, 0, 4, 0, -32, -2, 0, -16, 40, 0, -32, 0, 0, -6, 5, 0, 0, 28, 0, -34, 18, 0, 6, 34, 0, 38, 0, 0, 88, 20, 0, 0, 142, 0, 20, -11, 0, 213, 26, 0, -76, 0, 0, 46, -59, 0, 0, 3, 0, 1, 8, 0, 106, 29, 0, 9, 0, 0, 48, 36, 0, 0, -102, 0, -34, 57, 0, -74, -3, 0, -20, 0, 0, 36, 40, 0, 0, 0, 0, 28, -134, 0, -108, 2, 0, 170, 0, 0, 78, -24, 0, 0, 228, 0, -66, 38, 0, 56, 64, 0, 136, 0, 0, -15, 90, 0, 0, 69, 0, 14, 26, 0, 245, -56, 0, -35, 0, 0, 42, 14, 0, 0, -36, 0, -22, 25, 0, 126, 86, 0, -140, 0, 0, 44, -74, 0, 0, -56, 0, 34, 132, 0, 166, 0, 0, -71, 0, 0, 18, -81, 0, 0, 8, 0, -88, -19, 0, -28, 137, 0, -92, 0, 0, 2, -16, 0, 0, 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-22, 348, 0, -394, 232, 0, 28, 0, 0, -7, 640, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48904377
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 171136785873637555, 'source_is_minimal': False, 'source_label': '4275.2.a.bm.1.2', 'source_level': 4275, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 171136785873637555, 'target_is_minimal': False, 'target_label': '4275.2.a.bm.1.2', 'target_level': 4275, 'twist_class_label': '475.2.a.e.1.2', 'twist_class_level': 475, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48904378
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 171136785873637555, 'source_is_minimal': False, 'source_label': '4275.2.a.bm.1.2', 'source_level': 4275, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014398543036891, 'target_is_minimal': True, 'target_label': '475.2.a.e.1.2', 'target_level': 475, 'twist_class_label': '475.2.a.e.1.2', 'twist_class_level': 475, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48904379
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 171136785873637555, 'source_is_minimal': False, 'source_label': '4275.2.a.bm.1.2', 'source_level': 4275, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 117093590345191603, 'target_is_minimal': False, 'target_label': '4275.2.a.ba.1.2', 'target_level': 4275, 'twist_class_label': '475.2.a.e.1.2', 'twist_class_level': 475, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48904380
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 171136785873637555, 'source_is_minimal': False, 'source_label': '4275.2.a.bm.1.2', 'source_level': 4275, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 243194379911568816, 'target_is_minimal': False, 'target_label': '7600.2.a.cc.1.1', 'target_level': 7600, 'twist_class_label': '475.2.a.e.1.2', 'twist_class_level': 475, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48904381
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 171136785873637555, 'source_is_minimal': False, 'source_label': '4275.2.a.bm.1.2', 'source_level': 4275, 'target_conrey_index': 324, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503668380402139, 'target_is_minimal': False, 'target_label': '475.2.b.b.324.3', 'target_level': 475, 'twist_class_label': '475.2.a.e.1.2', 'twist_class_level': 475, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48904382
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 171136785873637555, 'source_is_minimal': False, 'source_label': '4275.2.a.bm.1.2', 'source_level': 4275, 'target_conrey_index': 324, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4503668380402139, 'target_is_minimal': False, 'target_label': '475.2.b.b.324.4', 'target_level': 475, 'twist_class_label': '475.2.a.e.1.2', 'twist_class_level': 475, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 48904383
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 171136785873637555, 'source_is_minimal': False, 'source_label': '4275.2.a.bm.1.2', 'source_level': 4275, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021597797777883, 'target_is_minimal': True, 'target_label': '475.2.a.g.1.2', 'target_level': 475, 'twist_class_label': '475.2.a.e.1.2', 'twist_class_level': 475, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 48904384
{'conductor': 57, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 171136785873637555, 'source_is_minimal': False, 'source_label': '4275.2.a.bm.1.2', 'source_level': 4275, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 126100789599937345, 'target_is_minimal': False, 'target_label': '9025.2.a.bc.1.2', 'target_level': 9025, 'twist_class_label': '475.2.a.e.1.2', 'twist_class_level': 475, 'twisting_char_label': '57.56', 'twisting_conrey_index': 56, 'weight': 2}
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id: 48904385
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 171136785873637555, 'source_is_minimal': False, 'source_label': '4275.2.a.bm.1.2', 'source_level': 4275, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 148618787736788400, 'target_is_minimal': False, 'target_label': '7600.2.a.bh.1.3', 'target_level': 7600, 'twist_class_label': '475.2.a.e.1.2', 'twist_class_level': 475, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 48904386
{'conductor': 285, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 171136785873637555, 'source_is_minimal': False, 'source_label': '4275.2.a.bm.1.2', 'source_level': 4275, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 108086391090455361, 'target_is_minimal': False, 'target_label': '9025.2.a.y.1.2', 'target_level': 9025, 'twist_class_label': '475.2.a.e.1.2', 'twist_class_level': 475, 'twisting_char_label': '285.284', 'twisting_conrey_index': 284, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3551575
{'charpoly_factorization': [[[5, -3, -2, 1], 1]], 'hecke_orbit_code': 171136785873637555, 'p': 2}
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id: 3551576
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 171136785873637555, 'p': 3}
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id: 3551577
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 171136785873637555, 'p': 5}
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id: 3551578
{'charpoly_factorization': [[[-1, 1, 4, 1], 1]], 'hecke_orbit_code': 171136785873637555, 'p': 7}
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id: 3551579
{'charpoly_factorization': [[[1, -4, 1, 1], 1]], 'hecke_orbit_code': 171136785873637555, 'p': 11}
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id: 3551580
{'charpoly_factorization': [[[-103, -36, 3, 1], 1]], 'hecke_orbit_code': 171136785873637555, 'p': 13}
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id: 3551581
{'charpoly_factorization': [[[-79, 61, -14, 1], 1]], 'hecke_orbit_code': 171136785873637555, 'p': 17}
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id: 3551582
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 171136785873637555, 'p': 19}
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id: 3551583
{'charpoly_factorization': [[[125, -9, -8, 1], 1]], 'hecke_orbit_code': 171136785873637555, 'p': 23}
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id: 3551584
{'charpoly_factorization': [[[5, 4, -5, 1], 1]], 'hecke_orbit_code': 171136785873637555, 'p': 29}
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id: 3551585
{'charpoly_factorization': [[[53, -30, 1, 1], 1]], 'hecke_orbit_code': 171136785873637555, 'p': 31}
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id: 3551586
{'charpoly_factorization': [[[-395, -74, 5, 1], 1]], 'hecke_orbit_code': 171136785873637555, 'p': 37}
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id: 3551587
{'charpoly_factorization': [[[-155, -82, 1, 1], 1]], 'hecke_orbit_code': 171136785873637555, 'p': 41}
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id: 3551588
{'charpoly_factorization': [[[317, -113, -5, 1], 1]], 'hecke_orbit_code': 171136785873637555, 'p': 43}
-
id: 3551589
{'charpoly_factorization': [[[311, -64, -9, 1], 1]], 'hecke_orbit_code': 171136785873637555, 'p': 47}
-
id: 3551590
{'charpoly_factorization': [[[-905, 303, -31, 1], 1]], 'hecke_orbit_code': 171136785873637555, 'p': 53}
-
id: 3551591
{'charpoly_factorization': [[[200, -40, -6, 1], 1]], 'hecke_orbit_code': 171136785873637555, 'p': 59}
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id: 3551592
{'charpoly_factorization': [[[-1, -10, -3, 1], 1]], 'hecke_orbit_code': 171136785873637555, 'p': 61}
-
id: 3551593
{'charpoly_factorization': [[[169, 0, -13, 1], 1]], 'hecke_orbit_code': 171136785873637555, 'p': 67}
-
id: 3551594
{'charpoly_factorization': [[[-47, -1, 7, 1], 1]], 'hecke_orbit_code': 171136785873637555, 'p': 71}
-
id: 3551595
{'charpoly_factorization': [[[53, -30, 1, 1], 1]], 'hecke_orbit_code': 171136785873637555, 'p': 73}
-
id: 3551596
{'charpoly_factorization': [[[-395, 17, 18, 1], 1]], 'hecke_orbit_code': 171136785873637555, 'p': 79}
-
id: 3551597
{'charpoly_factorization': [[[-131, -270, -3, 1], 1]], 'hecke_orbit_code': 171136785873637555, 'p': 83}
-
id: 3551598
{'charpoly_factorization': [[[125, 51, -20, 1], 1]], 'hecke_orbit_code': 171136785873637555, 'p': 89}
-
id: 3551599
{'charpoly_factorization': [[[169, 0, -13, 1], 1]], 'hecke_orbit_code': 171136785873637555, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 39, 'label': '4275.2.a.bm', 'level': 4275, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 70254925
{'hecke_orbit_code': 171136785873637555, 'n': 1, 'trace_an': 3}
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id: 70254926
{'hecke_orbit_code': 171136785873637555, 'n': 2, 'trace_an': 2}
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id: 70254927
{'hecke_orbit_code': 171136785873637555, 'n': 3, 'trace_an': 0}
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id: 70254928
{'hecke_orbit_code': 171136785873637555, 'n': 4, 'trace_an': 4}
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id: 70254929
{'hecke_orbit_code': 171136785873637555, 'n': 5, 'trace_an': 0}
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id: 70254930
{'hecke_orbit_code': 171136785873637555, 'n': 6, 'trace_an': 0}
-
id: 70254931
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id: 70255130
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id: 70255140
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id: 70255166
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id: 70255170
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id: 70255173
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id: 70255178
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id: 70255179
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id: 70255180
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id: 70255181
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id: 70255182
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