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{'Nk2': 11400, 'analytic_conductor': 22.75736457606491, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [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': [2850, 1, [1901, 1027, 1351], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 148, 'field_disc_factorization': [[2, 2], [37, 1]], 'field_poly': [1, -3, -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, -16, 0, 1]], [11, [16, 8, -8, 1]], [13, [32, -16, -4, 1]], [23, [-16, 8, 8, 1]]], 'hecke_orbit': 39, 'hecke_orbit_code': 171136785873636130, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '2850.2.a.bm', 'level': 2850, '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': [2, 3, 5, 19], 'level_radical': 570, 'minimal_twist': '570.2.d.c', 'nf_label': '3.3.148.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}-q^{3}+q^{4}-q^{6}+\\beta _{2}q^{7}+q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2850.2.a', 'trace_display': [3, -3, 0, 0], 'trace_hash': 229678290965477873, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.040', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.792', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.141', 'prec': 17}, {'__RealLiteral__': 0, 'data': '21.851', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1.107', 'prec': 17}, {'__RealLiteral__': 0, 'data': '265.765', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.016', 'prec': 17}, 'traces': [3, 3, -3, 3, 0, -3, 0, 3, 3, 0, 8, -3, 4, 0, 0, 3, 2, 3, 3, 0, 0, 8, -8, -3, 0, 4, -3, 0, 10, 0, 0, 3, -8, 2, 0, 3, 4, 3, -4, 0, 4, 0, -6, 8, 0, -8, 8, -3, 11, 0, -2, 4, -18, -3, 0, 0, -3, 10, 10, 0, 14, 0, 0, 3, 0, -8, 20, 2, 8, 0, 20, 3, 8, 4, 0, 3, -8, -4, 0, 0, 3, 4, -4, 0, 0, -6, -10, 8, 24, 0, -24, -8, 0, 8, 0, -3, 22, 11, 8, 0, 40, -2, 10, 4, 0, -18, -12, -3, 22, 0, -4, 0, 2, -3, 0, 10, 4, 10, 24, 0, 15, 14, -4, 0, 0, 0, 6, 3, 6, 0, 8, -8, 0, 20, 0, 2, -10, 8, 28, 0, -8, 20, -8, 3, 0, 8, -11, 4, -4, 0, 0, 3, 2, -8, 0, -4, 2, 0, 18, 0, 8, 3, 2, 4, 0, -4, -28, 0, 9, 0, 3, -6, -14, -10, 0, 8, -10, 24, -22, 0, 2, -24, -14, -8, 0, 0, 24, 8, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'ALdims': [4, 4, 4, 2, 3, 4, 4, 4, 4, 2, 3, 5, 2, 5, 5, 1], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], 'ALdims_old': [27, 35, 37, 32, 33, 32, 33, 31, 35, 31, 31, 33, 37, 31, 27, 36], 'Nk2': 11400, 'analytic_conductor': 22.75736457606491, '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': [2850, 1, [1901, 1027, 1351], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 577, 'dim': 56, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 23], 'hecke_orbit_code': 33557282, '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, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3], 'label': '2850.2.a', 'level': 2850, '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': [2, 3, 5, 19], 'level_radical': 570, 'mf_dim': 624, 'mf_new_dim': 56, 'num_forms': 40, 'plus_dim': 22, 'prim_orbit_index': 1, 'relative_dim': 56, 'sturm_bound': 1200, 'trace_bound': 23, 'trace_display': [-2, 0, 0, -8], 'traces': [56, -2, 0, 56, 0, -2, -8, -2, 56, 0, 4, 0, 4, 0, 0, 56, 0, -2, -2, 0, 0, -4, 4, -2, 0, 28, 0, -8, 12, 0, -12, -2, 4, 20, 0, 56, -20, 0, -8, 0, 4, 0, 24, 4, 0, 0, 4, 0, 24, 0, 0, 4, 12, -2, 0, 0, 2, -8, 0, 0, 0, -16, -8, 56, 0, -12, 32, 0, -8, 0, 0, -2, 24, 36, 0, -2, 0, 8, -44, 0, 56, 8, 60, 0, 0, -24, -12, -4, 28, 0, -32, 4, -8, -8, 0, -2, -24, 14, 4, 0, 24, -4, 36, 28, 0, 32, 16, 0, 68, 0, -16, -8, 44, -4, 0, 12, 4, 32, 80, 0, 80, -4, 12, -12, 0, 0, 36, -2, -32, 0, 4, 4, 0, 0, 0, 20, 0, 20, 8, 0, -32, 0, 32, 56, 0, 20, -32, -20, -8, 0, -28, 0, 0, 112, 0, -8, -56, 56, 44, 0, 16, -2, 0, 4, 0, 44, -8, 0, 0, 0, -2, 24, -12, 16, 0, 4, 24, 8, -24, 0, 36, 80, -24, 0, 0, 76, -8, 4, 0, 0, 12, 0, -48, 28, 0, 24, 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mf_twists_cc • Show schema
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id: 48902912
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 171136785873636130, 'source_is_minimal': False, 'source_label': '2850.2.a.bm.1.3', 'source_level': 2850, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 171136785873636130, 'target_is_minimal': False, 'target_label': '2850.2.a.bm.1.3', 'target_level': 2850, 'twist_class_label': '570.2.d.c.229.1', 'twist_class_level': 570, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48902913
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 171136785873636130, 'source_is_minimal': False, 'source_label': '2850.2.a.bm.1.3', 'source_level': 2850, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 252201579166310758, 'target_is_minimal': False, 'target_label': '8550.2.a.ce.1.3', 'target_level': 8550, 'twist_class_label': '570.2.d.c.229.1', 'twist_class_level': 570, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48902914
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 171136785873636130, 'source_is_minimal': False, 'source_label': '2850.2.a.bm.1.3', 'source_level': 2850, 'target_conrey_index': 229, 'target_dim': 6, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007405446726202, 'target_is_minimal': True, 'target_label': '570.2.d.c.229.4', 'target_level': 570, 'twist_class_label': '570.2.d.c.229.1', 'twist_class_level': 570, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48902915
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 171136785873636130, 'source_is_minimal': False, 'source_label': '2850.2.a.bm.1.3', 'source_level': 2850, 'target_conrey_index': 229, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007405446726202, 'target_is_minimal': True, 'target_label': '570.2.d.c.229.1', 'target_level': 570, 'twist_class_label': '570.2.d.c.229.1', 'twist_class_level': 570, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48902916
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 171136785873636130, 'source_is_minimal': False, 'source_label': '2850.2.a.bm.1.3', 'source_level': 2850, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 166633186246265634, 'target_is_minimal': False, 'target_label': '2850.2.a.bl.1.1', 'target_level': 2850, 'twist_class_label': '570.2.d.c.229.1', 'twist_class_level': 570, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48902917
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 171136785873636130, 'source_is_minimal': False, 'source_label': '2850.2.a.bm.1.3', 'source_level': 2850, 'target_conrey_index': 1369, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518204328838830, 'target_is_minimal': False, 'target_label': '1710.2.d.f.1369.3', 'target_level': 1710, 'twist_class_label': '570.2.d.c.229.1', 'twist_class_level': 570, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48902918
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 171136785873636130, 'source_is_minimal': False, 'source_label': '2850.2.a.bm.1.3', 'source_level': 2850, 'target_conrey_index': 1369, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 22518204328838830, 'target_is_minimal': False, 'target_label': '1710.2.d.f.1369.6', 'target_level': 1710, 'twist_class_label': '570.2.d.c.229.1', 'twist_class_level': 570, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 48902919
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 171136785873636130, 'source_is_minimal': False, 'source_label': '2850.2.a.bm.1.3', 'source_level': 2850, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 306244774694756710, 'target_is_minimal': False, 'target_label': '8550.2.a.cq.1.1', 'target_level': 8550, 'twist_class_label': '570.2.d.c.229.1', 'twist_class_level': 570, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2880950
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 171136785873636130, 'p': 2}
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id: 2880951
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 171136785873636130, 'p': 3}
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id: 2880952
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 171136785873636130, 'p': 5}
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id: 2880953
{'charpoly_factorization': [[[16, -16, 0, 1], 1]], 'hecke_orbit_code': 171136785873636130, 'p': 7}
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id: 2880954
{'charpoly_factorization': [[[16, 8, -8, 1], 1]], 'hecke_orbit_code': 171136785873636130, 'p': 11}
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id: 2880955
{'charpoly_factorization': [[[32, -16, -4, 1], 1]], 'hecke_orbit_code': 171136785873636130, 'p': 13}
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id: 2880956
{'charpoly_factorization': [[[8, -20, -2, 1], 1]], 'hecke_orbit_code': 171136785873636130, 'p': 17}
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id: 2880957
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 171136785873636130, 'p': 19}
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id: 2880958
{'charpoly_factorization': [[[-16, 8, 8, 1], 1]], 'hecke_orbit_code': 171136785873636130, 'p': 23}
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id: 2880959
{'charpoly_factorization': [[[8, 20, -10, 1], 1]], 'hecke_orbit_code': 171136785873636130, 'p': 29}
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id: 2880960
{'charpoly_factorization': [[[16, -16, 0, 1], 1]], 'hecke_orbit_code': 171136785873636130, 'p': 31}
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id: 2880961
{'charpoly_factorization': [[[32, -16, -4, 1], 1]], 'hecke_orbit_code': 171136785873636130, 'p': 37}
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id: 2880962
{'charpoly_factorization': [[[400, -80, -4, 1], 1]], 'hecke_orbit_code': 171136785873636130, 'p': 41}
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id: 2880963
{'charpoly_factorization': [[[-760, -124, 6, 1], 1]], 'hecke_orbit_code': 171136785873636130, 'p': 43}
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id: 2880964
{'charpoly_factorization': [[[16, 8, -8, 1], 1]], 'hecke_orbit_code': 171136785873636130, 'p': 47}
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id: 2880965
{'charpoly_factorization': [[[6, 1], 3]], 'hecke_orbit_code': 171136785873636130, 'p': 53}
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id: 2880966
{'charpoly_factorization': [[[8, -4, -10, 1], 1]], 'hecke_orbit_code': 171136785873636130, 'p': 59}
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id: 2880967
{'charpoly_factorization': [[[152, 12, -14, 1], 1]], 'hecke_orbit_code': 171136785873636130, 'p': 61}
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id: 2880968
{'charpoly_factorization': [[[320, 48, -20, 1], 1]], 'hecke_orbit_code': 171136785873636130, 'p': 67}
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id: 2880969
{'charpoly_factorization': [[[320, 48, -20, 1], 1]], 'hecke_orbit_code': 171136785873636130, 'p': 71}
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id: 2880970
{'charpoly_factorization': [[[256, -64, -8, 1], 1]], 'hecke_orbit_code': 171136785873636130, 'p': 73}
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id: 2880971
{'charpoly_factorization': [[[-16, -16, 0, 1], 1]], 'hecke_orbit_code': 171136785873636130, 'p': 79}
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id: 2880972
{'charpoly_factorization': [[[-160, -176, 4, 1], 1]], 'hecke_orbit_code': 171136785873636130, 'p': 83}
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id: 2880973
{'charpoly_factorization': [[[-400, 176, -24, 1], 1]], 'hecke_orbit_code': 171136785873636130, 'p': 89}
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id: 2880974
{'charpoly_factorization': [[[-296, 148, -22, 1], 1]], 'hecke_orbit_code': 171136785873636130, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 39, 'label': '2850.2.a.bm', 'level': 2850, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 70240219
{'hecke_orbit_code': 171136785873636130, 'n': 1, 'trace_an': 3}
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id: 70240220
{'hecke_orbit_code': 171136785873636130, 'n': 2, 'trace_an': 3}
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id: 70240221
{'hecke_orbit_code': 171136785873636130, 'n': 3, 'trace_an': -3}
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id: 70240222
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id: 70240419
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id: 70240420
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id: 70240421
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id: 70240422
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id: 70240423
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id: 70240424
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id: 70240425
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id: 70240426
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id: 70240427
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id: 70240428
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id: 70240429
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id: 70240430
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id: 70240431
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id: 70240432
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id: 70240433
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id: 70240434
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id: 70240435
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id: 70240436
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id: 70240437
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id: 70240438
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id: 70240439
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id: 70240440
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id: 70240441
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id: 70240442
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id: 70240443
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id: 70240444
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id: 70240445
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id: 70240446
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id: 70240447
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id: 70240448
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id: 70240449
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id: 70240450
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id: 70240451
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id: 70240452
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id: 70240453
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id: 70240454
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id: 70240455
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id: 70240456
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id: 70240457
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id: 70240458
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id: 70240459
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id: 70240460
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id: 70240461
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id: 70240462
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id: 70240463
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id: 70240464
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id: 70240465
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id: 70240466
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id: 70240467
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id: 70240468
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id: 70240469
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id: 70240470
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id: 70240471
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id: 70240472
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id: 70240473
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id: 70240474
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id: 70240475
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id: 70240476
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