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mf_newforms • Show schema
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{'Nk2': 19152, 'analytic_conductor': 38.23237248778905, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, 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': [4788, 1, [2395, 533, 4105, 1009], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 733, 'field_disc_factorization': [[733, 1]], 'field_poly': [8, -7, -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': [[5, [-14, -9, 2, 1]], [11, [20, -7, -3, 1]], [13, [16, 11, -8, 1]]], 'hecke_orbit': 15, 'hecke_orbit_code': 63050394816746164, '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_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4788.2.a.o', 'level': 4788, '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, 7, 19], 'level_radical': 798, 'minimal_twist': '532.2.a.e', 'nf_label': '3.3.733.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta _{1}+\\beta _{2})q^{5}-q^{7}+(1+\\beta _{2})q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4788.2.a', 'trace_display': [0, 0, -2, -3], 'trace_hash': 1348262047808475826, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'ALdims': [0, 0, 0, 0, 0, 0, 0, 0, 6, 4, 4, 6, 6, 7, 7, 6], 'Nk2': 19152, 'analytic_conductor': 38.23237248778905, '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': [4788, 1, [2395, 533, 4105, 1009], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 937, 'dim': 46, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13], 'hecke_orbit_code': 33559220, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 4, 4, 4, 6], 'label': '4788.2.a', 'level': 4788, '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, 7, 19], 'level_radical': 798, 'mf_dim': 984, 'mf_new_dim': 46, 'num_forms': 20, 'plus_dim': 20, 'prim_orbit_index': 1, 'relative_dim': 46, 'sturm_bound': 1920, 'trace_bound': 13, 'trace_display': [0, 0, 8, 0], 'traces': [46, 0, 0, 0, 8, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 42, 0, 0, 0, 16, 0, -24, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, 0, 46, 0, 0, 0, -12, 0, -28, 0, 0, 0, 12, 0, 0, 0, 0, 0, 4, 0, -8, 0, 0, 0, 0, 0, 28, 0, 0, 0, -8, 0, -4, 0, 0, 0, -32, 0, 44, 0, 0, 0, 60, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 20, 0, 0, 0, 48, 0, 0, 0, 0, 0, -4, 0, 44, 0, 0, 0, 0, 0, 50, 0, 0, 0, 84, 0, -52, 0, 0, 0, 28, 0, 2, 0, 0, 0, 12, 0, 28, 0, 0, 0, -8, 0, 16, 0, 0, 0, -44, 0, -8, 0, 0, 0, -44, 0, 0, 0, 0, 0, -24, 0, 28, 0, 0, 0, -4, 0, 58, 0, 0, 0, -28, 0, 16, 0, 0, 0, 80, 0, 52, 0, 0, 0, -28, 0, 24, 0, 0, 0, -28, 0, 16, 0, 0, 0, -24, 0, 76, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, 0, 20, 0, 0, 0, -64, 0, -12, 0, 0, 0, 52, 0, 4, 0, 0, 0, 0, 0, 36, 0, 0, 0, -16, 0, -24, 0, 0, 0, 56, 0, -12, 0, 0, 0, 8, 0, 8, 0, 0, 0, 116, 0, -28, 0, 0, 0, 0, 0, -24, 0, 0, 0, -52, 0, 4, 0, 0, 0, -8, 0, 52, 0, 0, 0, -56, 0, -28, 0, 0, 0, -16, 0, -64, 0, 0, 0, 0, 0, -2, 0, 0, 0, 48, 0, 12, 0, 0, 0, -60, 0, 8, 0, 0, 0, 0, 0, -32, 0, 0, 0, -52, 0, 20, 0, 0, 0, 60, 0, 56, 0, 0, 0, -8, 0, 44, 0, 0, 0, 4, 0, -60, 0, 0, 0, -16, 0, 56, 0, 0, 0, -60, 0, 0, 0, 0, 0, 20, 0, 76, 0, 0, 0, 72, 0, -60, 0, 0, 0, 44, 0, 46, 0, 0, 0, -28, 0, -36, 0, 0, 0, 16, 0, -60, 0, 0, 0, -28, 0, -24, 0, 0, 0, -52, 0, 8, 0, 0, 0, 24, 0, -52, 0, 0, 0, 40, 0, 76, 0, 0, 0, -32, 0, 28, 0, 0, 0, 68, 0, -48, 0, 0, 0, -16, 0, 132, 0, 0, 0, -44, 0, 128, 0, 0, 0, -12, 0, 36, 0, 0, 0, 84, 0, -56, 0, 0, 0, -8, 0, 80, 0, 0, 0, -12, 0, -8, 0, 0, 0, 60, 0, 36, 0, 0, 0, 40, 0, 8, 0, 0, 0, 100, 0, -48, 0, 0, 0, 32, 0, 0, 0, 0, 0, -32, 0, -16, 0, 0, 0, 12, 0, 116, 0, 0, 0, 92, 0, -72, 0, 0, 0, -96, 0, 76, 0, 0, 0, 0, 0, 4, 0, 0, 0, -24, 0, -72, 0, 0, 0, -44, 0, 4, 0, 0, 0, 20, 0, -100, 0, 0, 0, 120, 0, -4, 0, 0, 0, -136, 0, 22, 0, 0, 0, -44, 0, 4, 0, 0, 0, -4, 0, 100, 0, 0, 0, 148, 0, 84, 0, 0, 0, -4, 0, 0, 0, 0, 0, -24, 0, -64, 0, 0, 0, 68, 0, 36, 0, 0, 0, 48, 0, 8, 0, 0, 0, 32, 0, 60, 0, 0, 0, -28, 0, 124, 0, 0, 0, 40, 0, 16, 0, 0, 0, 104, 0, -8, 0, 0, 0, -28, 0, -8, 0, 0, 0, 0, 0, -84, 0, 0, 0, -52, 0, 72, 0, 0, 0, -160, 0, -128, 0, 0, 0, 4, 0, -42, 0, 0, 0, 144, 0, -88, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 76, 0, 0, 0, -52, 0, 32, 0, 0, 0, 4, 0, -52, 0, 0, 0, 8, 0, -84, 0, 0, 0, -12, 0, 116, 0, 0, 0, -156, 0, -20, 0, 0, 0, 104, 0, 28, 0, 0, 0, -16, 0, -128, 0, 0, 0, -8, 0, -104, 0, 0, 0, 8, 0, -136, 0, 0, 0, -84, 0, 16, 0, 0, 0, -76, 0, -68, 0, 0, 0, -64, 0, 36, 0, 0, 0, -64, 0, -40, 0, 0, 0, -44, 0, -244, 0, 0, 0, 16, 0, 20, 0, 0, 0, -160, 0, -208, 0, 0, 0, -104, 0, 60, 0, 0, 0, -16, 0, -236, 0, 0, 0, 0, 0, 68, 0, 0, 0, -48, 0, -16, 0, 0, 0, -64, 0, -12, 0, 0, 0, 172, 0, -192, 0, 0, 0, -36, 0, -196, 0, 0, 0, 92, 0, -152, 0, 0, 0, 40, 0, 180, 0, 0, 0, -108, 0, 4, 0, 0, 0, 132, 0, -4, 0, 0, 0, 4, 0, -240, 0, 0, 0, -40, 0, -40, 0, 0, 0, -108, 0, -48, 0, 0, 0, -56, 0, 116, 0, 0, 0, 0, 0, -68, 0, 0, 0, 72, 0, 86, 0, 0, 0, -92, 0, 0, 0, 0, 0, -116, 0, 172, 0, 0, 0, -12, 0, -196, 0, 0, 0, -4, 0, 40, 0, 0, 0, 56, 0, -116, 0, 0, 0, -36, 0, -100, 0, 0, 0, -132, 0, 48, 0, 0, 0, 36, 0, 48, 0, 0, 0, -16, 0, 80, 0, 0, 0, -112, 0, 44, 0, 0, 0, 172, 0, 112, 0, 0, 0, 36, 0, -188, 0, 0, 0, -24, 0, -112, 0, 0, 0, 44, 0, 12, 0, 0, 0, -44, 0, 0, 0, 0, 0, 172, 0, -56, 0, 0, 0, -28, 0, -88, 0, 0, 0, -12, 0, 248, 0, 0, 0, -72, 0, 160, 0, 0, 0, -16, 0, -118, 0, 0, 0, -120, 0, -172, 0, 0, 0, -92, 0, 20, 0, 0, 0, 100, 0, 24, 0, 0, 0, -196, 0, 0, 0, 0, 0, 64, 0, -164, 0, 0, 0, 168, 0, -52, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47790514
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 63050394816746164, 'source_is_minimal': False, 'source_label': '4788.2.a.o.1.2', 'source_level': 4788, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050394816746164, 'target_is_minimal': False, 'target_label': '4788.2.a.o.1.2', 'target_level': 4788, 'twist_class_label': '532.2.a.e.1.3', 'twist_class_level': 532, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47790515
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 63050394816746164, 'source_is_minimal': False, 'source_label': '4788.2.a.o.1.2', 'source_level': 4788, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014398543036948, 'target_is_minimal': True, 'target_label': '532.2.a.e.1.3', 'target_level': 532, 'twist_class_label': '532.2.a.e.1.3', 'twist_class_level': 532, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47790516
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 63050394816746164, 'source_is_minimal': False, 'source_label': '4788.2.a.o.1.2', 'source_level': 4788, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561193698854992, 'target_is_minimal': False, 'target_label': '2128.2.a.r.1.1', 'target_level': 2128, 'twist_class_label': '532.2.a.e.1.3', 'twist_class_level': 532, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47790517
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 63050394816746164, 'source_is_minimal': False, 'source_label': '4788.2.a.o.1.2', 'source_level': 4788, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797052522124, 'target_is_minimal': False, 'target_label': '3724.2.a.i.1.1', 'target_level': 3724, 'twist_class_label': '532.2.a.e.1.3', 'twist_class_level': 532, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 47790518
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 63050394816746164, 'source_is_minimal': False, 'source_label': '4788.2.a.o.1.2', 'source_level': 4788, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 175640385501012288, 'target_is_minimal': False, 'target_label': '8512.2.a.bn.1.1', 'target_level': 8512, 'twist_class_label': '532.2.a.e.1.3', 'twist_class_level': 532, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 47790519
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 2, 'source_hecke_orbit_code': 63050394816746164, 'source_is_minimal': False, 'source_label': '4788.2.a.o.1.2', 'source_level': 4788, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 166633186246271296, 'target_is_minimal': False, 'target_label': '8512.2.a.bl.1.3', 'target_level': 8512, 'twist_class_label': '532.2.a.e.1.3', 'twist_class_level': 532, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3704175
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 63050394816746164, 'p': 2}
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id: 3704176
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 63050394816746164, 'p': 3}
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id: 3704177
{'charpoly_factorization': [[[-14, -9, 2, 1], 1]], 'hecke_orbit_code': 63050394816746164, 'p': 5}
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id: 3704178
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 63050394816746164, 'p': 7}
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id: 3704179
{'charpoly_factorization': [[[20, -7, -3, 1], 1]], 'hecke_orbit_code': 63050394816746164, 'p': 11}
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id: 3704180
{'charpoly_factorization': [[[16, 11, -8, 1], 1]], 'hecke_orbit_code': 63050394816746164, 'p': 13}
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id: 3704181
{'charpoly_factorization': [[[-14, 17, 9, 1], 1]], 'hecke_orbit_code': 63050394816746164, 'p': 17}
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id: 3704182
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 63050394816746164, 'p': 19}
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id: 3704183
{'charpoly_factorization': [[[-4, -5, 4, 1], 1]], 'hecke_orbit_code': 63050394816746164, 'p': 23}
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id: 3704184
{'charpoly_factorization': [[[-2, 15, 11, 1], 1]], 'hecke_orbit_code': 63050394816746164, 'p': 29}
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id: 3704185
{'charpoly_factorization': [[[4, -17, 5, 1], 1]], 'hecke_orbit_code': 63050394816746164, 'p': 31}
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id: 3704186
{'charpoly_factorization': [[[50, -19, -4, 1], 1]], 'hecke_orbit_code': 63050394816746164, 'p': 37}
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id: 3704187
{'charpoly_factorization': [[[-280, -13, 11, 1], 1]], 'hecke_orbit_code': 63050394816746164, 'p': 41}
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id: 3704188
{'charpoly_factorization': [[[32, -92, 4, 1], 1]], 'hecke_orbit_code': 63050394816746164, 'p': 43}
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id: 3704189
{'charpoly_factorization': [[[-184, -75, -2, 1], 1]], 'hecke_orbit_code': 63050394816746164, 'p': 47}
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id: 3704190
{'charpoly_factorization': [[[-322, -39, 9, 1], 1]], 'hecke_orbit_code': 63050394816746164, 'p': 53}
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id: 3704191
{'charpoly_factorization': [[[108, -45, -12, 1], 1]], 'hecke_orbit_code': 63050394816746164, 'p': 59}
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id: 3704192
{'charpoly_factorization': [[[-202, -157, 2, 1], 1]], 'hecke_orbit_code': 63050394816746164, 'p': 61}
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id: 3704193
{'charpoly_factorization': [[[-14, 17, 9, 1], 1]], 'hecke_orbit_code': 63050394816746164, 'p': 67}
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id: 3704194
{'charpoly_factorization': [[[58, -55, 0, 1], 1]], 'hecke_orbit_code': 63050394816746164, 'p': 71}
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id: 3704195
{'charpoly_factorization': [[[-302, 83, 21, 1], 1]], 'hecke_orbit_code': 63050394816746164, 'p': 73}
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id: 3704196
{'charpoly_factorization': [[[1016, -148, -6, 1], 1]], 'hecke_orbit_code': 63050394816746164, 'p': 79}
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id: 3704197
{'charpoly_factorization': [[[100, -45, -7, 1], 1]], 'hecke_orbit_code': 63050394816746164, 'p': 83}
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id: 3704198
{'charpoly_factorization': [[[-64, 68, -18, 1], 1]], 'hecke_orbit_code': 63050394816746164, 'p': 89}
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id: 3704199
{'charpoly_factorization': [[[2536, 39, -28, 1], 1]], 'hecke_orbit_code': 63050394816746164, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 15, 'label': '4788.2.a.o', 'level': 4788, 'portrait': 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lIzO5Gw1PXpDgWj2GV5INgwoVnsaE5eUNRcjw3TsGUuZP3MiHUzARtmArasN2zboLh8q0tdNTl2ss3XnvR4+GDM4yciEtXj21/a4eYXG+pqhoMnJjl21uHMxYTzKbgPLxhuuHKeX3rnMltnJzh7cZKLyzUWOy5LHclyL6HXT+iPBAePL3DoVOfyxw5eeNmxU+d3HD99/os3veY7wrtv/dhzDYlv6PEPmsGXljuEoUEpfuPuR468+Od+52/kO15y9MX/7uazzvzyepY6bRY7DRY7Hosdh8UOLHUSljoRiysJ51fgyKJgbnaFX/n+RV6wp8GpC9Ocvdjk7ILDhUXD+YWY0/MJF3sxk9MjXnJ1nxsvA0/W8ZXPhaUa5xYczi8JBgHEsabmaZq1hKmJGA2cOB/T7cP29S7NeoAxAoRHf6jZtiFgccUBY6XISh+CGAyGpU7I5nUuvaFCKIPQAe2ay7aNI1YGghNnHRLtMNOWtGoC34U4FgwCyfklyblFw4XlGN8fgRtz0xV9XnylYK5dZ3G5zakLPmcX4MJCzIWlmDNLcGTR8PwrFvjV719mw2Sbk+enOb9YZ37ZY6EjWVpJWO5GLHcTlnqahZ7kVBdWlrr8zr8fxu98Q/0eNf0vtdu4/B6B/nmDi19rP9dQecbHP1gGf+8HPsZLbrqe//Af/sOvf+hvv/Lv//RDX9791InujsNnB/IlVw24ZFNCoh2MURhj2RsjAQkIhDA4wuBJOLtY5/7Dkqt3LXHZ1hGNGriOxHMVnufQrEsarmTQdzlwvMZtD3ucuBjQjSMOnApYP7PEm1+yzNW7ezz/sg7HF2IWBoKGP+LoWUOn2+SqSyQro4R9xxWthsNTJ+DSTYZRmDBKPBwnYqoF+0/5KCfBlTGOC8NA8oLLBgwHkqt3J3SHCSfOtti5QdFshKwEhnWTA5b7XT7yFXj0WMLjx0Zs37TINXu7TE2HvOmmHt/5csOuDS2SaJJjZyY4ctrl1HnN6YsRpy8mHLkoOLkS8bw98/zK9/dYPznJqfPTXFhsML/isdiRLHcSOr2IlX7Cct+w1BdcGCiWuzE3XLbAT/zTeVlTYseFs6d2DofxC+vtnfV6Y+pLj93/Sf7wPR96riGz5uMfJIN/6CMf54art6pb7jr4fx8/cf4XHnnyhDq/FDI/UpwbGK7efoHf/vF5rt3V4MLiFIudBkudGksdl6Wuw3IPljsJy92YpV7MQgdOLQuc+ogXXbnEd708ZOe6Jiv9NheX6swveSx0BEsdKxGWe5ruUNMNDINRzEw7Ytt6DQh813D6oouQPtvXKXZuMmxaN+DCcsBjh1pcf6mhUV/mycPTtJohYegyM6UZjuDybSM++JVJ9m6NCQLD7IQkSoa0aj5PHR9Rd5tcuyfm8aMhFxY9Ns/47NwI2zaEKBVxegE81yCEYfv6mKmWpDf06Q9cugOXpa5iaQUWO5qlTsJCJ+F8BxZHCds29/muVyzwosscam6bcwttFpZrLKw4LHUFyx3NSi9iuZew0jcs9uF8T3FhJeYFe8/z7h9f5NLNTRY7bZY7NfrBBE59V1JrbPj1peDSX206p5OXveqfPtfQWfX4BwXwgwcPUqvV6mfPntn26GNPvuPIsbO/tu/gKYJY0h/BytAyytlezPMvOc9/+/ElrrmkzsXlKRZXGix3ayx1XZa7Dstd6PQ0K72Y5V7MUtdwoSM42zcg+tz80g5veoHmko01wrDBcqfGSt+j01Ms9wW9gWAUGMLYkCSgpMF3oe4bJtuGddMRjjviyLmQJw776LjJG14Y4rgrPLRvgh0b4fP3x7z0Kp+LnSE1RxEnEdNTEEcujhuzuNjgJdd1+fy9LXZuhAcPBbg0eP0LNLEY8sSRhGOnazjSY/2Uw1RTUPcFnidQAmINYWQYhdAbGFb6mt5AszLQLPYNwyRh+5YBb7qxw80vDkG3WFyZ4OJS3ertrsNyB1Z6CZ1+zEoK7qUBnOsq5rsJz99zgXf/+EWu2F5nfnmSlV6DTt+n13fo9AVufQtefcMvbtx62d9s3brlZDAaDS+9dM9zDaX88Q8G4MeOHmZubs47dPjwDx4+fOgPHn7kMbG42JODkaY/0vRGht4QVoaSi0PJuV7EC3Zf5F0/ssh1u2ssrEyyuNJkueuz0vNY7jms9ASdnqHTT1jpxXT6muW+4WJPcK6jmZoc8Nrn97jpspjt6xXtuku3V8N3JaAIY4nWAm1gMAKEZqo14tAZgzYhtz7YJBjU2b3Z40VXD4j0Cnc8PMm1l7ocOt+ns9zmxqsHfOkhn/XThn0nDP/qrV32HfdZPy257WHFiy5XLA26HD01zbV7Qu54YkgcNLjpCo9dW0cM4z63PKQgERw57dBuODgCBkOJNoJEG6IYkBrH03T6hmYrYuvGgBdfPuC118fMNGtcWJpgcaXOcteem+WuoNOHTi+m04/p9BM6A8PSQHK+J1joxbxw7zy//iPzXLOzxvzKBCu9Bt2+T3fg0hs49IaKTl8QJjW9Z+/V5pJLdv/kJbt3/dnC/Hy45x8IyP9BADyJIxkGwzc/dP/ndy91knfff/9DbhRDEMFgGDMYJfRHmv7I0BsKOkPBxaHkbCfmpssv8hs/Ms/1uzxWuhPML7fo9Gus9DxW+g6dnqIzgF7f0B3EdPsJ/aGmMzDM9wXzfYiSgGsuHbJhOqE/MLzxxoAdGzRxInGkIYzg9sdqnLxYY+NUzJNHaqAbXLZFcd1ejV8b8NChAfMLTa7c0aQ9ucy9j7vccGmNxcEKy8ttNmww3L9P8X2v6vPAPoct61wW+h2Wl6a57vIB9z6ZMF2f5MrdfS52Otz/9CR1p8nz9xr2bBuB7PPYMcG66YgL8xF3POYyihRSQqINOzaGvPbGkF5fsWlKc92lEIYNljoNljo+K32X7kDR6Uu6fegOErr9hN4goTvQrAwMS0PJma6gMwx40Z55fvWHl3n+pfbm6PTqdAc+vYFLb+jQGyj6I0lvKOgPEkZBwrXXPj8KE/kz7/jOf3K42ax/xnVd/Vxj6znPZAbBgDAafv+p4w/+9vy5g9Nnz68w0ZQMQxsoGq0w+Z+2FqAQBikNUjo8cHA9P/9eh7e+aInvftUSOzeHnF9s43t16r5Hw3dp1h16dUlr6DLRdOwNM0xYH2iGgaE38lmar3H6lCGMNWfOx/i+AQSeMjhSMBgqBC7xwOF5OwS7Nhm2bR4QJD2+8IBi/+EpXne9z3WXL/OBLxg80WDH5gGP36vYPKmYbQ+oqTph5HKxB82aw5b1gkf3h1y3p87Lr13gzz87xHNbvOaFBtcf8OX7Qz5/X5Onj9W5ZFODHRsT5qZCds5GXLUjQSmNowxgaPg+c5M+YeTSG3g8eci1JQpDC8T+EPojQ39gf/feMKE/NHSHhpUhzA8UF5YNjYkOP/WGef7piwKuuaTJuYU2nX6NXg5uRT/7N0eCYWAJIIgMX73zfrfZnv7tdevvX3rVy17473r9wZ+3mo3nFF/PKcCjoA+CHz578t7fOLrvy9OjQZ+672JQ2BoIASgQ9pUQIIXtpFHSoGSCJyWPH5rjkYNNDp29yFtf3OfFV4yYbLVZ6jRodmu0hx79dEntjyTDkcMgcBgFhlGoCSNDFBnixB5h7GE0SCVwHUHNE0y2BFMt2DCr2bJ+wOxUhy8+BHc+4iL1BK+73uV5l/W4++mIcNTmRc8TdIZDLi42uWmPZnZyQN3xGcWK+W6E0oLn7XFotAIePlDjZddNcOM1PR4+oMBMcP0VHj/07Ut86dGQ2x5osu9kjW1zig3TdaZaDSZaUPfBdQxKgjaw75ggSQRRLAjTFXAUGEZBwjDQjALNYKQZBJr+ELoBzPclF3sQ6BGvvnaJN7+4w/e+RhPHbc4vNOn2a/SGHv2hS3+o6A0Vg5FgkIJ7NNIMg8T+24HmwuI5Pvg3X5gejJL/+k/f9HKn2xu8t9167kD+nAE8GC2B0D908dQdv3H+2G3rpOnTrPtIad0KASAkAoEQFvBSkoIblDI4yuAqTd0VLAzqfPgrW/jyI11eetUK73z1Clft7DMz2WBxpUFv6DMYuimwlT1CQRBJolgQx3apN+lyoaTBcaDmQaOumW5FbF43IKbPoTMRH7mjxtFTTSb9Ojdc4XDT1V3uP9jh1q+1eeGlNbZtHPDBrwiU8Gm3Ilb6AdqAEjDXHtDteei4zptfepEPf77Brgs13vTCAWG0yB1PzBAlNV5wxTredEOXS7d2+PLDAx4/1eCxYx5bpiXTbUHDF3iuvQmlACEM2oDWhihOb9bIEET2Rh6FMAyhNxIsB4KlHghnxLV7V3jna1d46RUJM+06y90GnV6d3sCnP3LpD4uVYBBIhiMYpDfOaJQwDLUNyCNIjMPZC10+8JHb1gURv3Hzt73EnL+49L4N66b/8QN8pWdoNRESYZZO/c0PJFH47s75/bOKLvWaByLGWvOCjMCFkAghEEKipIOUCUqJdHnWuMrgO4a6I1geKRY7U3z09ib3PdnnRdes8M7XrHDtrg4zSZ049hmMavSHLsPAIYwUUSyJE0miBdoImwUVBt/TNGoxvhfiuQFnFgM++6Dk8GmPY6enUNpn10aPy3cqrr+si/LneeJIi82TDa68BDbMLbPUbXPVZkmsDV98wCcYSCabMa9/wYjP3BFx8nyLvbtdzq2MeOqoy9b1U1yzc567H+9x71OCIPS4bOc0l231uWxLjyPnljh8Bh7Y3+DQ0SYNR+A7kqZvqLkgpV3pjLE3a5xAGEOYCPqBoDsSdCMIdYw2I55/aZd3vrbLS69K2DjtMxpNsNip0ev79Eceg6FDf6QYjBTDQDAcSYaB7RsdBYn1+AML7mGoGYXW0Qm1YvFcl/d86KvrHjp04d0Tk378xn976wf+5F/ew44rfukfL8AxI4yuvfTOhx5934Xjvzv9kr2nZxtuE1Ovo5TIJYgQpKyNZWspUErgKJU+axyV4DoCz9F4rsF3DQ0vYbIm6AUuy90pPn5nm688NmL91IB3vKLDZVtHjIZ9rtxp2LpBEUQuSVKk+QUGKTWuk3DiguHYecHKUPPpuxucWZjChC5TNcWmGYftGxwu2QxX7uqi5QLv+UyTpaUJXniZw5W7Onz5MYGIXdZNSZqNmEHkIY0EI1GOR2ckuLAkuMI0eMX1Pe55uM6mWY8XXjnNv/j2Bf7s8z0eONCkP3JZXGmxc1OdvRsHvGBPj+94WY+zS0t8+m6fxYHPiXMuZ854uEogpV31tDEkGiJtSGLN1EzE1VcMCIKIy7YGvO0VAesmFNMtnyiqcW6+xmDoMQjsKjfMgS0tuAPBKMCuBEHCKNQEYWIlUGRSkMMwEgxDwUA7nD7V47ETd8z+1Nv93/29H1oXbb/81r/+md/8n7z7537qHx/AH3v4t/n1P3lY/Ju33rOzER3es3PDE0y2Pfp9B22kBTZ2mc21trRSQUqJkhJHCRyVPjsC10nwHIHnamquoR4ZGqFhopYwVRcMQkkvbHLsdJN3/fU06BgRx1x/9YCdG0LiGLTRGGNlkRQCqQSO63HgpMe+wzWaNYeWJ5ltCOZmJOumHTbNKbZvTNi7fYVELPJ7n2hz4uQkL9zjctmOhGHc42tP+EzWXWYmDJOtkEbdSiGtJZ2RYqlvWOwkdPp1XnLlCg/uG7D/pGKyXeMFV0zyI29e5Pc/CQ8fbtIfGlZ6DheW2myYbbBuasT2mRH/4e0D2o0Ojx+DA6ckrmtQyiCEBoz9z0Acw44NCS+6KiaJXKLYx5gGo9Dl/ILHMLAr2ihUuXwbhoJRIBiFlrWD0GZlg0AThJpRpNOvmZy5h5FgGAl6oWA5EnRjjR6M+LtbT05eXIr/dG7urfG7fvZNH9207o/Mv/vhf/mPB+A//+4P8V8/fIm6dsdDN3/qyyff85X7DtIbTvPrP97l8q0964oIjZAaKf00gHRRyqCkQimV6m2J61jN6bmKwJUEocYPE4LIUI80QaQJQ0M7hiDSBDGEsWAUSYLEJ0pq7D/c5LH9kBiDhbbVxq4ET9maj5YPV26Edh0mmpKplmJm0mHdNGzbELBxboXILPF7n5jgyNEJrrtEcckWya4ty3z1qZgLixNcv1My1dbUvCG+9DFKECcSYQxxErLcr3Fh0eW6y+o8b0+Pux+usX5K0Ki1uG6P5qduXuR3P6l56kyLlb5mpaeYX3aYnWwy1a4z1Z6g3YiYa0Zsvy7Ed2NcJ0apBClsMGGwN1UUKS7OO0SxIooVYaQIovQ5lASRJAglo1AShMIGqKEgCA1BaM9rECaEYarpI/v1UQijSDCKYJCDW9IPYnQw4NqdHX7tx7ssrjza6GvnA/fd/Rn90z+05xPf96r3Jht2//C3PsD/y3//EO2mr3S0/2233tv589u+NqhFZhvEI6SU/OqPdrh8Sw8lE6TSSGlQykUpbZ+lwVUG11G4jsENJZ4r7EVwBYGnCCML9CgyhHFiXZG4dCQQJ4Yk0SQaq7c1ObgzKeRIcF3wHUHNFzR8SbOhmGhIpiYE66Zjtm8Y0Gqu8Il7Qu54YpqVhTZXb1Ns3+hy6dYRiVjhiw80aLoOc1OKVmPEE0fg6aMOV201DALFNZdGXL3LcP5cwvyyx3DU4A039Ljr8SGHziiadYnvtbnqEs2v/sAitz815DO3z7LYNWxfl7DccZhsKyaaLq2GS7NuqPka39P4ToKjrNSSaWulMdiElRbEWhIngjgWRLEkjAVRJAki67yEkSCMDGEIQZQQRpqwRBxBVD4suIcpuLuRpBPBIIiQUZ/rdizzKz+6yJtvSggjj8Hw6Vo/afzlyafr/1w4Mx87ue8DybbLf+BbG+CONHJ5pfvdx46f/qN9B07WJicbrISaKPL4u3scwkDxtlf2ePur+0y1E3pS48gk1dlWD7uOgxs5+I5i5FqmCVxJ6AnCSNiLEymiGMJIWgchLmy/ONEkiXUXEpM6JalbkrkzSlrZ4zkC35PUfEmzLmg3DJMtzfrpgLmpHrFZ4aN3Sf7s8zOsq9W4eptg20aXHZs02zcu84mvGZaWaly2QTHVhlYj4sJxycVlH28nBJFgbkIyOQmHjhmWu5rzCzUu3VHjVdf3+OydNWZa4HseSk5y1S7Bj77pIq68yN/dPcXTZ2qs70asm4yZaCpadUWjLqn7Dr4HvguOYx0mKUCKEsixN3aiIUkEcUIKdIgSQxhDFCWWFCJNmD1HOrUdM1cmtSBjK0n6kaAbS3qRJhyFTPhdvusNi7z9FX1ee71hpd9iFNQYjWr0hidqyq/9qdtwHSHdD2F55lsT4H/0/k+SaP0D99x/9L8dPHyy3fIdVKwRCLrSJ5CKLz7g8rWn6pxbXuRffceAqXZM4NfoDmo4ysN1XFzHxQsTQtfBC600CSObSreMIywTpawUxxAlkCTWSdDaBlxam6yHMwW3BbgNXAWuYwFS86FR07TqMZOtmLnJIbNTK9yzP+Qvb61z4NgkOyZcdm2ALRs8tqyHvdu6DOIu9+9rU1cuc1OKyRZMtgKmJmI8z7GJKwPDwGOpG7EyMHT6MReXPbZtaHHjZRe59YEBB860afgRrvIQYoJdmxX/7DULPH/vRf7y1hb3PznJYt9hXTtmshHTqEnqNYXvCnxX4ro2VlGK1D60KDfYHlatyYEeJzpd3VJrMdbEiQV3HEEYm+KIrCszii2pDCJBNxb0YhiNYnQ8ZKbe5Se/c4n/63v6NHyPTq/OKPQJQp9R6BInLr3Fk20/lL83OXeVd+SpT/zZritv/tYD+NJyB6XUD//R+z7+GydOnp7xXYmUNpCUgCMEXeEylJKVwOG//Y3LviPLvPllfV5xbY/1syG9bp1h4OO5Mb7nEoQOvmftvQzgUSQJY7vsRnHqaSek1h8pc0u0oQC3TVKmzA2OsgkTzzXUPE29FtOqxUy1AzbOdrnQGfAHn3b54oPTLC032T0n2LZOsHmdx5Z1gp2bRjjeCh++w+HoqSZ71kumWpKJZoKUAWfmDb4jkQKMEYSRw/Z1XR4goTtQLHcNF5bq7NlS4zte0eFjX/Y4fsHHdSKEcNGmSRRLrt+5zPbv6fLFhwd88IvTPHS8yeYpwWwzoVlLqHkC3xV4ro1VHIUNnKXIazIM9ibTBuu0JBbwGcjjxEo6C3YIE1vrEmbJo1gwjKEXS3oxDENNMgjYMtvj5dct85aXDXjjDRpHNFheqRFENrsahC5h5BBEDlGiGC6em3Ebu96995rvUKNh9721+v+emvL/LQBfWlrBc51/8Zkv3vEbjz721DrPMUgpUBWHROBKQV9KerJGJ3T48Fdr3P54j+su6/I9rxnwphd2mJn0GY58hoGH77qEsT1RWaAUx4ookcSxJEoEcSxJEkGiRaG1tSBXJSbLiNpkkUqTRZ6r8b2Euh/TqgfMTvYZRkO+/IThI1+d4P4nJ5nyXK7abNg4LVk/47FpTrJlfcglm5d5/PiQT981x4RymJsQtJuCdiOiM0j4/NdqtDz7u2sDw8DhzS8K+Nx9tiam09dcXHbYsq7FW1/c5/79PfYd8mj6MUoKC3LdYBRarf/PXtVhz8aLfPj2Lvc+PcnJ5Tob2oKJmqHhaWqOxnPBUQIlSRNk9vfOyo90KtW0Lla4OAW6JQiIEkGUpMBOBKNYMIgF/QQb84QhzfqAt75uie9+TZfr9ySsn3IZjpp0+x5h5KXAdgnjgpiidOU9c3L/Or9+z2/s3PtSPRx03l9vfPPHyn1TAb68vMJKpw9CfP8tt931W5/53JdnVpZX8F2FkxgigQ0iBcgYHAGeBF9CT7oMXMXprs/Z+xrc90Sfj13d422vGvL6F42YnvQIA58gticsih2iFOhxooiTNGGTFADXJmVuXdSUZTakkraOw3E0npvgexF1P6RVH5Iw5EsPS/76K5M8eWwCEfnsmDJsnDTMTirmpj02zEo2zUVs29Dl1HyPP/5Mkzios2WLYLLl0G5CuxEh3JDusMlkyyCEwBiIYsm0r4h1TC/y6A0SlruKM/N1rrikxY/9kxXe/SGfE/NNHBWlN4ZDHNcYhZINMz7X7+5y9SV9njpxho98tc6tD01ytlOn6StaHjRdg+cYXAWOtOl8IarVdRow2t50iRYkBuJEWP88EYSJTRINE8EwgWFsiOMYHQXM1Ia84dUrvOPVPV56VcRE3SWMmix3fILII4odC+xIEUUOYe7eyDy5Nhiu8PQTX12XaPlbOy99Yby8dPYvPK9Jo/nNA/o3FeDD4ZDpqdZb7r7nwd//7Be+1B70O9Trjl36pEiDniL4caTBSWwxk6c09UQwUB6D2OFiUOPv7mtyx5MDXnBbn3/9nT0u39Zl3aSi3XAII48wdonjAuRJBnAt0UZijJUEJg8o01S/MjaIdWJ8L8ZVId1hxHw34n98osaxi1M8vG8Soz1m6oJ1s4bZCcFMWzEz6bJ+RrJhJmbz3ICZyWW++IjmoacnuXqLYKolaTUk7YamWQ8RboDvOzjK/nxjIEkkw8BhOIqItaA31PT6hqWuy/nFNjft7XPjFSt8+LYa9SWFIyMLSOMQJx5hZHs8ZydrPH9Xn+fv7vPAy89yYl7yl7dOcnGlwelFH09Jmq7Ay2SYtOc+J/JMqmCZPDaCWEOkBUECoxhCbSCJIY6QKmDT1JCrt9vrccPlCe26Qxw36fQssOMU2BbMTioblQV4JIkSKyvjRBAniv5yj8ce/upMop3f37H7uuXRaPjpbyYmv2kAP37sMBs3blCf+PjHdj/x9IF2FHZp1R273MksI2mQiUDFxtZ6JOAkAlcZvNhQSwQNJRgqwcDxGSYui2GdWx+a4J6nhzT9gH/+xg5bZmJ2bBpy05U9HGFbxISwcsVmJW2ttDEl5sYgpEEJ65kbYpAxTx2TPLjf4bP3t3jqZIswbtByFHN1w3TTMNUw1gdvO0xPOMxMCjZMx2yaG7Jxbpk7ngx4z2fXsXHSYa4N7aai3RS0GjF1P+Ceg4pR6OA2LaiMEYSxpOYort0z5L4nJm3h0zBhpeuysOJzYWGKH3vTBU4vLHLfo3O4EhARGnIABaGkP3SYatWYbDe5cc+Al1894HteOc/+U5rP3V/j/v11Dh5tEguHIFAMIoXKSx/KgWeaEzCaWBuM1rgiYcILqRFx43V9dm4csWU24p2vD6h7kmbdJQwbdHpeupI6KeGo3Gu3h1x1xGlBWAby5U6PpbvuaR88emH3zTe/TR08eCjZs+fSfzgA37fvafz6hPfoow/9oDbRfxv0l2k3PMJII2ObkbTlrQIpLWOrGCsREoMTgysFrjb4iaGmBI1EEGgYJS7DxGWQ1Oj1En7rw1OYOGL93Igrto2YmYh526uGbFsXEkUi1dsSSsxNqj+l1Agp+PjtdR4/0kQ4DifONjhzoUGtrpjwBZNNQ7umadegVRdMNBTtlmKq5TAzCbOTMetnRmxe1yUxK3z8rjbDfpNLtxjaDUWrIWnVNa1ajOuGfPG+GsFA4q6zwXUmUZp1xRteMOTORzT9QNIfJnQHDis9h/OLDS7f2eJtL+3y8FMNTiy1UFIDUaqXXaJEEUQ2MdMfOXT6Hq16g2Y94PItI164d8Spix2On1vBcRMeO+rwsa82ECqt1ByfP2g0oMEYojBh+/qYd7xqyGw7Ye92w/oZSGKXIGwRxy7LXZc4UkSJk8ZBFtAZwG1MVAa0LEAdyzSQtUAfxQ6L55aYnAn/20MPPTjYvfuSPztwYF+4d+/l/zAAfvr0aebn5/ecO3vmDx586EGJkbiu7WcW0uSMraTBkRmjG2ItcGKrE6PE4CZWA/qOoZYY4kQQakOYCAItCRJJqF0iDfP9Nl99XGNI+NT9dmQDRqdHlsVLLTKRVSRKpFLEkYPUDq4jafmwc87QdDUNX9PwoeELmnVJq27l0ERLMtWGmYmYuamATXM9Epb5H39b4+4n1rFrBqYaKXs3JK16TKMe0mwMqdcb+EqiZKrBsXIgilxGQ8EwSOgFynYtDbVtmWt6nL4wwUuuCPipt1/gtz/mcHLFRwiNMRE6MUSxSxhJRoEtY20NHZo1j0a9RsNvUPMjWvWQ6y8N8dyIGy6NeeerBzgqTpNAGiFMVZSnkk5riRAS31WAxyhwWFx2bN1OksU86RHLIgZKtXUG7gzYWWIpToPW4j15JacxhkcfeUh6nvMHYRjcFYxGT34zsPn/GuAf/dgniBJRP37g8M0njh8WAomQ1qIirTGJ0wYFpWwCRiqDSkAlVhvGCTiJ7X2Ms4g+SaP6LLLXonivBaGWxEaSaIdI+ySp7VV+5FlKYW1JR4KroFY31BxDTSX4LvgO1DxD3RfUPUmjLmnUHAvwpmCypZlux8xMBqyb7rNp3SLv+azmg7euZ+ukYralaTcVrYai2YBGPaFVjzi3qDlyzqfm2Rsasko/wSh02LlBs2F2RHfkMRyZlMUlKz2HVr1GqzHJO199kaPnzvOnn96MIx0MmkQnxNoQxQ5BqBiGtihqUJM0Rg5136XuJ3R6Nsbw3MQmzNwER9pGCSmTtLDNHrZ0xZZwWpALOjqtstQ2rkkSidaSWBfxjpUZWYCfvS49xyL9egZu0u9niSaIYvuzpZQ8/dQTwsSjmy+5ZMeRL93y6eFrXv+W5xbgM5O+1+ku/dzCwoWfi6JAuq5MCVSkWUKNkBbgiU5ruRNBksqTWIOTWL86yZIP2qTvTf614nVRKWe9XJEHSmXNDVSCWkdqHEla0wKuEriOsb6xI6j5kponqfuKek3RqktaDcNEM2GyFTPdDpidGrBt/SL3Hwz48O2bmKr5rG9p2g1hwV2XNGuaZi2m1Qi4/wA8tr/B7jmT6t4ibT4MFDfsNVy6bcgDT04yCAzDUUJ/6KQgd2nU6tRrk3zXy5Z47OBF7tu3AYxC68SWw8aGODJ5PckwcGiMDPWaouZpfM/F9xJ8R+M4Ca5js8NK6bSIzZYGIwyCQs8VwbktIdaZI6Uz+7VkxWbA1ha0xXtyYGeHJTAL7CS1IrPXWhsMguFgJM+fv/B/K7fu+bXGrwPhcwbwOOzLIBj98mc+/eF/N+pf8Bo1+89pk3qviUBJm+BJpLEnRBlUmlRIlMHR6WttG2h1Qv46yTJuJsu8GXSaicuSFcYYSpn3yoqbuTVSFmW3jhIW4HnRls3++Z6i5ivqvqBRF7TqhnYjYaIZM9kKmJkYsmlumfsODPnlP1/PydOTXDKrmWxAu65o1hXNGjRrCfVahOeO6IxssZirbPyRPRJtGS6KPdr1iEGsGaR11oNRQm8g6dQVjZ5PzW+xY0PEr/5gh//8AcnX9q3HoNBGkySaOIkJY00YKUahYuhL6oGi5kl8z+B7Ct/RuK71+x1l0jqfdFVNZYpIqznzR5raNymJmLSWJUkBn+ji2ZKRTJ9FAfD0dZKzNvnqbJNwBZHp9NoCHDhyyhvG3s/8wPe/0+32Br/YbjX+3un8vzfAe70ewyD59QNP3vVvR70TtZkJmY5YsH5qokFLe8cqKYhVBmSDlhbcSQpunb3Wwv6iKWvr3KMFo43tIk9LQMsHYwBPZXcaWFqJYmvKrSRy0lY015H4nh0AVPPtSIa6b2jWNK1GQrsRMdEKmW4P2TS3wn37B/znP5vlwMlptk9bh6VVlzQb0rJ33dCoJTRqEVES8le3tZBK4abef87gJlvCXf7Z65a55aGQXugzSAHeHyp6fUXHd6h5Pr7bZu/WmF/7oUV+6c8E9z65Hm0kibZp9Si2hWZBqAlqttzV9wU1V+B7NrPpOSbP2DpKW5koi7LkHOBFyjMnK4PNJVi3JQ3kMwCnUwd0nlwjZXfyFTdZC9g5wE0F4EnahfTEU8dqX7jl9p9+65tfI3rd7s+32n+/TOffG+DL80cwRt94/MgjdaNDar7t8C5+CUEiQWnSZ0EiBUmeHs7AncmP4pfMsmtZ+5UFurB1FBmosxM/9rmK3s20zkRSFFOldeQW4BLXlbZ+wxPUfDvzpOEnNOsW3O1myGR7yNxkh/v3D/jl90/z1IlZtkwJZpolaVJzaNZs/Uq9FlP3Q1w34MziFK4SKKnzHtMsyEwSSRwrNk4Z4jiiG9XSThnNcJTQG0nqA0XNc/HcGq4zwWVbYn7tX8zzn94H9z29jkRLC/DEEMVJyuSawNfUQsnIU7kEc11wndS5UtLmAjJ3S1gzIFtkxjBu5QppUgiRJ4d0mhzKssVJUvq6LiRnUgK21sX1znGQXf+sVCA2jIKAu+59sL57184bhZRfF4/fVIA//egXieK4cXz/Zz0TL+O5lgHASoFYQ6LSXywFus6/ZoGutSFxyH/JKrAzGWJyoJtMjmSvn+GzSVEUUVl7UuTgVlKmjRKZPIGaC76nqdcMdd/q50Y9ot0ImWwOmZ3q8NChEb/03imeODHHpknFXFMzURe0apJGTdGoC+o1e3PYVH/IffsE/ZFHTZHeZGkbnikCzSh2aNYUN13Z4/6n2gwiK1OGQcJgqOj5Ct9TeK6X6udJLt+q+c0fucjP/gncu28dkZZEWqfN0kUPZuBJfE9b9naLOnpHZQepTClkXNZNtRbIs6SQyQCeAj7JnRfWXHl1SYLkz4lJv78G0BOIY6vHz19c4X1/+WnvB7732xof/tjnBt/9tm/73w/w+YsnmJjeMvnUQ5/44+EoeJkgwVEKsCcnltYdSTTE0mpuXVq2LGMXd7lWYm3WLgFa58AumoJJtXd+MYQtKBIyBXdaZKRygINKKwZdBzwX2wnkpQVWfkI9lRetesBEa8hUq8ujhwN+6b1TPHZ8HRsmHeYamok6NGuCZl3RqCsaOXsn1PyYVmPEHY95rHRqTE0VafIMMDrVplGiWDejePXz+tzxoLZdNKEugVxScyU118F1PBynjpSay7cafuNHLvKzf2K498A6Iu0QpRWAtuzVMrkfyby60HMkjpMWYUmBcrJzQ/75spswkyoiq0qjSAiNH7r0rHXpOV95q+AuV3YmuRzVKUZModM1hFFCEAxf9vT+o+/7sR9824+/4Mjxld27dvzvBfiwd5ZgOP+znaWj3x0OFnEcF5EURVRKCmIpUDqVJ5nzoUpBoy7u+Ex+JLkMIWfvSiA5ztwp0rOMXK69ZVZBV+jurGLQUdj6DMfguraxuOZpal5CvRbTqEU0awGtxojpiQ4PHwz4uT+Z5dGj61k36bKukTDRMCm4U/auSeq+Zf+aH9PwQ2Id0At9hJK4GYPnGlyk7JX6xZFL0xvZcoGwxlQG8lHCwLMM7nvS1sQ72Qa0hqt2GN794xf4j3+kuXf/eiLtECSCMNEpiwtqkcZ3DZ5re1edNO5wlC0RVlKm5yftys+eS4VZ+Y1ZjnXGwJ2TUImYyuDO4ypTvC5irTLQS25ZAhjJ2fOLPLX/2Hfffs8jR8Iw+k//Wxl80DlBvb1l+1P3/8nVSXAa3xcYk1hAaYmSFqhSZneoKAWOIgd3UqpJzkajmSyYNEUgVjBFkZU05TUzY+1yUJktt2mHjkqDKcdJO4PSIqSserDmJqlujqjXAqbaAyaaPe7bF/Pz75nlkaPrmZtwmKsnTNQMrRTc9Zq1EzNw1/2EmhfTbobsO264/eEmnpS4SqdBXOFRZMt3lChi7fCK6yN2X9LnyMk6cw2KPscgYTBKWdhROI6bJ8yEMFy5HX7zRxf4T3+iueupOUZR3SbDYkMjreH2XSzInWz10nlvq1RJvsIpKUoAFyWQs0qvFCA3VYDnFYrFyrvWylywOyVwFwRYBrsxiv2Hz/G52x68+td+8Ue37z98+sRlu7d88wE+7J7G9Sd2zJ++53eSaPEtwvTwPBedCKQWqBTQUltmKGRIZi8ZdJLJEbFqScv8YZN72mMuySq3JGXucXALg1RF7YuS6fyUlLk9R+O6Gt/V+F5MzYup+SGNWsD0xIDl3oA7n4Tf/OsNPH54ltkU3JN1Q6suaNZE7pVb50Vb9vYswOt+QJgkjIY1asreZFKISiVflkixgaZjtbwTEISGYSRKANd4XoLnOriutFMFpJsDHAHX7BT85o8v81sfirl3/wxnO21GTclkYmjFhlo6ccB3Ter9Z06Kydk7kyoiL4gTeRxD6XOL0vk36UXJVtUC3FVJaas5S2CvAL0AeK7Zczu4kLK9lSFnzy+/5TNfvDd55Yuf99OHj509vnvnpm8uwFeWTqLc+gsXLuy/eWXhIK7jobVGC2EdEpM+p4ydAVuXrSQlckliQS3SpS1L2FSlSBng2Skuq8LsIthxDxl7F934xXAgWxbrOjodM5Hk4Pa9FNzTfeaXh/zGXzX49NfmWOhPMTchmaul4K5Z3d1IA8u6L2n4JmVwq71rfgiEfOVRj+XIY8anUo+NqK5QSWKbH9q+w6uuG3DfgZBe5DORd6xrvMDWqnuOBbijbEO2kDZBg4HLtkp++193+dx9Q379/es5vTDFcNJh0hO0Yk0jBj+yo5c9ZQcauVmgKUUeBGfP5UC9fGMKkfeK5NcHxiRkGdil+EmXwF/OY5QBnQepphys2jKLR584xM5t626enWr+Va83PP5NZfAk6iGd5qXzp27/N73Fx3AchZQGI5M8w6XGEgG5dZR+PwN0rrVzUGcSxBQ21Dhrl2VJeqIzZsnSzZkLoDKAK2PLcZ2st9P2d3pugufG1LwI34to1Yc4zoA7Hkt43+fbfPbudYS6zbq2YLZmZYm1ADOfXKWHSJm7zN4RjhNwz9OTDEKHjY3s84wzeLa62VLSmqu48fIhsbYAH0bCdq1nneuBtsGhk86GSe09kSbXDYLZScF3v7JPyz/L+z8/5M6nZzgf1RnUJO3Y0HSMBbmTxiHKpHGJSUGenUNR1I5LkBQsPr6jYC5VshEVjGvzcvdQUXueMXqyRnCalAgw/3uAVIrbv/YU116z9998x7e/5JFOb3Bo4hsYCfd1Ad5ZOsmFE19AeZObBsv7X66YR/k+xiSl4EKkgaJAmYK5tS5LkoK9K3Ik09qkyYQKsEvWQ9m+yocDleYVZo0UMhvtptOa7xTcytZi+G6E50XU3JBGY4TnDfjrWx3e9RfrODI/jevX2NASTPsJbd/Q9KGZdtjXfZvtrKUJIVu/kqQrgZUnC92EfujhKYUnTR5gUvpVshs7q90IY5e6O2LD5JCVQYthJNJxazZWcN0ktflUandaghGVwNVWPr7lpX1uuGKe3/zLER/84hxLcZOB79J0JW3H1uD4DniKvBnCyZI++RwakWeBRT6vhpJcKYuVMtCprMDaVKVmoc3HjhJb5+xdvjGMwOBw8lyXO+7b//JRmGyaX+gcOnj4JHt2b/t/B3BBwtTGV+3oLDz1nuWFfbiOQMioVKugczArIzElFjemKlGMLuobsuAxPwmIkiQRY9Ik+yymYJM0+ybLAJcGJe3oiYK5kxTkMZ5jJYnvBfjukOMXYv70c00+edcMRy9M0W64TNdgyk9o+SZNvWfglim4ZZ4UqqXa2/fsjdNuBnziHodDJ+rU0glcebsYBcrzMQ7G6vAodrhsO3z7DT3e94UZ+g2Hdjp7xA/TuEFpHEemY+sogdwtUapdFbbNSn7++wZcvfM0f/LZaY6en2AprjNwHZpK0EiB7kljb5zUZcpXv+y8ZvYhVp8XmU6z2ifPiCkrnSix77ilmHcRmfIqXgJ25qyNg1w43P/wPl5502Xv+a63vPiNi8vdrytVnhXgUTTEcWoMlm7fIqP7dzW9M0jppGa/TD9cAeYkB7XMx6EVLonIAZ39eVNmbyNyFihYIaNtU9GBGbDtczZK2YLbuiYZeye4Tmw7d5wY3w/wnIBeEvIHH/V4/+c2cGZxEq3qTE8opj3DhKdppMzdyNP3Mq1TSaVJ6p3n4PZs9jKIQg6d9umHPlN+6uJkSafMlciysKZUkxI5tJsOO7eEKH9EL2wx9AT1yBBkAHeSNFGjrI8tsxLgtYJXxdzEgB97y4CbX3Ge93+uy59+fIaFYZOhU6PmKBqOoK4Mfmwsm0srVRxZlDdkWc5VTM4acmXcYQEqsVQG3hKRZSAvwF1l8CR7b2y3kUbx9Kkef3fHU7twnC1vff2Nx+N4iOPU/34AP3xiAd+fmLt4sf7Rw098xX3DDQFRXCOOHRKtUqCmLWIlBtdGV4CfF+uYMWCnv0DB2AKz5icxJTvQ5MCuyBOZVsmpxALcSXBUgudG1LwQzw3pjELueVzy17e2+fhdM4ySFp7nMeMJJj1N0zM0fEPDK8Bd8yW+L/FTaWITQ6kzkQLcc23m89g5w50PNQgjF79pVgWY2aNIZ1syCCOF6zq8+oYeH/5SnwOnmwxrdjRD4Bq8GNxI44Yapawda2WELIb7UJzPREtiLWn4Dusnh/zH7xpw+baAD97a4sF9E8wPm4yUh+s61BxBXYKfDVjK7FVprP0rKIG8WrMyXpxVZvSMoMYdsez9MzF19j4xaeWhgVBDaARxYnB0TGfxVvf5e6/5KCw9Lx515//eDH7ZroZ84sCBF77rT+6eOHiwwVU7OuzZqukPfeJEoRNFYiQqZfOc1VPAF3KkKkvyIwN2KlHKDF4p/LE9OpbJ85Syzss9re42OCqxAFdJLkccJ6LTj7j7ScGff6HNrQ9PsNRpIes1WnXFpGtoe5qGa2h4hrpHytqWueu+pOYpap6g5pFW6OkU3BrftfpbOQEHT8OZTs0mVlJ9W02cFPUztg/SgjzWkjB0WN8WXLp1yBMnYwaRS5DO+PZCLPhUNlk3S9SAHOvMyW6ezIaMElsf/o5XD3n9C5b58iM9PvDFNg/ua7PYa9CRHn3PwVMCTwp8aRvBHWl3qVOiuEntVASxZsC5qn5lnMlLhKapSo+E1PdOWTvWEBuIjCAyWYIohlHIZdsX+JnvnscNPj/x0BO1F3b11V/gWYYHfR0NfsLfPNv/owsXHm+GnZggSXC9BDcCKR20LPVApo2+GcDL4K681pkOLQG8dEIqvFCRJqZSoG9liU41t0bJxA7Ez9wMGTHfi7njIYfP393i03dOcLHbRNRquC2XtgMTru3kqbuksgPqnkgPmZacprrbE/gZe2cAd2I8L6bmhRgT8ZWHfU6cqzM7LXClTnWsKBp9S2xnShZqkiiGgcv29YJXXzfgk18L6Ucuw0hQc22/qpdOlipWKZX71XaOOsV5NSK/Jkl6xLFD3Q94xyuHvPaGRT51V4/P3d3gjsdbXOw0GAqPoefguApH2JEerpS4wqRSy6AQJWlYtQ/XIPOKC1Ywt8gD0KTE2HF+WNbOG1iMBh2DjiAKqDsBzemQk+cfb56Lv/2PjDx+OTD8ewH8vvse4tzFHocPnGfTesNEK0FKjecIEp2kAFe2gz0HuKzIkmwPy+xrlYsAtndyjZrASkBZArYQOrUD7bDOTI54TkStFjEKEg6cgeNnFR+5bYIvPNjm4nIT3BpO26WhJC3X0HI0dddQd6HmWnDXXDuT0JaZytIh0u+bFOQ6B7nn2va0I2c1TxzzwXXTZd6UUvSigoJyEGbrpW3zbRC5XLUz4IotffafaTCsCRqxwI8MgSK19nTK3pmbklmQhVbJffbUitRapdMHXEahS70e8ANvCHjzTSvc8lCfv/lSg+Nna+w/0yBc8Yl9h5HjIJWd6qsAJ33OmDyXLhTB/6pH7qYUoNaUZAnkcsR+zzY+56LdJBbcJs5B3ukLeiPYsP4EF08+Onnt1e/83gvL5n3rp9b6AM8C8DPnjoso6v+bY0feNftdrxvx/OsiNs0ajNTU2gE6jIlCh1hnG7EWLJ4xSAFsWQooRQpqSs9j8M4i9Vzz2aSGlSQ63eUhwfftJNU4STi/CLd91eHI6Tq331/nzHKdI2eb4PuohkPNUTQdQ9PR1kVw7eD8mmvHtVkQZ4dMD5UCnFRzp+B2E3zXsre9sUKOzcO+4w1cWbUHc4lCUQ+eOwq5vZr2NcYuV2wfcum6AU8ejRnELq1IEDjgxXYmoCoBXEqBkLLC5DBuv4k8mM36KKPEJXA92vWQf/a6gJde3eXMcpevPOBx9JTPLQ83OLtYIxm6aOkQeQohpV0p0q58SZrxhFy2rAXySqBJOUuduS2ZRtWlI7EHaTlilECYIFTMmQXB73ygxQuuDVnsPjn5vKs7P2Xi4P2rUfR1AP65r96KIPruTfWTzZ/+0T5/9ckmP/ZfJnnFTSGX74zYPKXZvSPAMwIdSbRRKVtkYxvkmNZOgV1i8Yytq5/MlCL2grVzKaISXD8hSgxHTwmeOKq47f4GTx7zePpYnW5g5+Dheqi2i68EDQUNR1Mv+cC+k9VpZGWzti7cT2WJ5yk8T6Y3gCm0t5vYzKJrdX7NizA65MKSJDA+jiPxpMEp2WxjBJ6DPCk5Tknqhwsc5qZDpBrRj1wGjrBOR1QUjDlKVzKQUpSi2GzYUcnpylrLssFIbqLy8RODwGPDVMi29RHXXxIwDIf882Mdnjzucdt9NZ44VuPoyRpRrMBXGKlASBJZygblSYo1tEpFnGc+cPasS89jh04gMjhodu0M2DQdc/nOiFfeFPDYAYf//idtrrryKK+4/iN47jNv2L0mwPsX/pbRaEWdPfuQmG2HHDmr+O2/brGworj1oQYTnmbblpirLgt53Q0Br7o2BBPjuoZ6k1RnS9CCOLKAzwLJCoOXb3mT1ZTb+SWuY0DYfs4oNAxGltGPn5Z86FafQaR49Okah0/5LPQ9gsQDxwPlotoKTwrqChrKUFPYcWYqLTxSlrU9V9ikRxncrsRLZYnvge+RuiY2Ze46Gs+N04xoRL0WcnE54bZ7W3R6PlMTAif14rOiL/FMzKZLAaGWBIFidkbx+ptG3PLgkJOdJkNXWpnigBsb3CjzrFOPXSbWLqQ860TmP0Mbp1IykSQSL1EkjiJ27diHKHKtlepGNL2Il14Vc+PlAW99+YiDpySP7XMZhooP3tbg2HkXhGQwdEhClZVvYpwM4GOWUTl9WwE4YLStRNUGkwK73kxwXY0wmlddF/C6GwKu3BuyfUvMhGeYndK87gbFV75W47EnWvzOBy+KG553vfpv7701/r9++HXfGMCjBJQ78QfbZpauOXne8It/OMVCz8f40u4t2TMcWzLc+4Tho7fFzE3HGG24bk/IO14zynvt5iY0114V0qzZi4kReQ5s9TUX+XCezkDw2OMOi11JvSa5f5/LZ+6qMYoUo0hx7ryHFg6RcdHCBcdB+A6OlHhKUJOGWgpsXxl8ZWwNuJN6vk7B3F7Wl5mDW6U9miJnb8/VeF5WoJXk7O15EUqFfPURxSe/1kJ5jrXbKvr7mRk888KTJHM8FKORy5tfNOTT93T54Fcm6Mc1mqkOdzMdHmVJGZN3Cwkhc4DZHyVLWr8EcJ2OdnAsk7uOInYcnDixQFcJStlB+lO1mBftjblpb4QRAW975YBRZMe5/d1dPg/s86j7goWu4rEnPboDmaokwTOK8nznCdsaeO21EbOTiW16SDTveM2Iay+NMBrmpjXTkwYnvXm1FiRDyWxD82s/0eEnf6vOwUPBNW94ResPwPzYN8TgFxe7TE632n/+kQ/uvf1e1GOH5nj0QBPjO/ZDp6uBxhBow4WO5sKKHRpz8GSDz3zV3okmMUxMaV54TUirbuuA10xPlm/11HVY6SsefMKj21FIR9qZKMaxzCQc7FxgB6SDlBJXCgtmafClxpMWCJ4CTxUz+izIRdHw4NhGgKzxuAxuy/BpWa2bMXhSOmJ8J8KYkDMLHmFQw5+QeGnaW6VVeZUsZtbRA5St07w7XSvCyGWqpdg6G+KJEcPYZxgL6o4dgpnVkGQJLSXL5a0y/1n2Z2TJNl1kT7VOm08KaRTHSZo3UOlc9pgoTlCRzSU4KkHKmC2zOl0xNJdvGxGaIdLRdDqCB59wWBlIVK5YqkF15UqnxVjNmubGayImpjQmtit7XdlzZz+7QseSMHXlskecGF56dcJ7f/YCJ+e1uvKqK/dee/0/b//rd3a60q3ONVwF8PMXFlhaXH73J788/8rP3jFFLKZIvLGPmOkmWdZRhthoOtkSpDTdFcO5rzZLv+JaAC/rt/TiCIHOtlwgrTkVqghypEytrAzUadpZkm7cmvnGpWcn7aRXpFvvkYPbtnUpvBTcnkNeYmoZPGVxR+Ol2VHXjfD9iFMLmr+8pQmOhytFEWDm8kSsYvCyP5wNCbVgs4N1wsjlna8f8qk7hjx9oUU/cWnEdlNaWwVoik4cleUEysFeVrqYSSFZKvDKDp3XwjiOwk3svBQ3BbqSRdLM1o2nr4VOBwclOMIgTMJsQ/NtL9Egkrx1EZHtn7HGNc9rjARoRRJZ8jTGStqIqkmRxXHZYKIMNtdcIrh8a0goj7+y3zn1bkz8E1+Xwf/2k7eilPB682dZ15Z0EocgsR5lNlva5CAvayo99t6AMiRuCdxr4jtjtwzg1eBFSJm3oCkBrrBpZV/YakFX2veOJK2pSLvHs0Iih9IcFNKd2Yqu+gLgMpctvmfyljbP06XBOTFuyt6eEyFlyInzgvluDeE4+JKKPJHlX6t0ucvSoQK81OkIY5eZdsD2DUP2nw8YJg6jBPxE4CYGN051eEzuLBUpdFXpVMhiO2vhmkqdvpVGGifRJEqinGz7cpUWq9ltZZQsDiE1KgW5yH42dkqWkCZ3vTKgZw7YWgAvknvl58KUyICtSwZFZi9rLYkTh+HIpRescKFzq7dWvmcVwB/ddwohoNMbUXds4BdIO3E0ztKoFN5mueCd0nMB6meTJaRdOaXCejsbKweInUoFrjC4IgVtKgGy1/nXUrIvSkHJG2w9JSzYK+CW9tnLgJ4Fnym4s+4fR+cSxXWsPvW8iJiIz91T58J8HXdC4ZVrOMoOCmOKtJy6LlVfZkmfUWAn2L7pxX3ueXxEN64xcBzqsSZM0+lKFgVRWcGZEJqicygLNLOqzcw6TGeqGEiU/ZmOFsRK4CQy3cXO1vLEKdCLZJrOE2xS6lLiLX0ty+BObd58r5hnuP6lQjuoMnUB9Op7e76K8XEmGRD2j6y5WlQA/vt/cRvtVv0lH/zEHTesDBdRwgZpSkAssl3JRFEFRtW8z7Rl5nc+K66zI0sWpPJepIkEB3KrTaUpYzvfpNC42axDlQ30TOVJGdj5HBSF7UdcC+BZwJnpbieTJSbV29Vacs+N8NyQ8x3Nw4fr4Hh2BLQ0eXo+Z3CqLJ4xV+EDl/tSZe6JR5HLdbsDZiaHdJYbDGJFQ4Eb299FJXaAkorKAMeCPP9BcqxSU6R9k2mNvtIkWuBqQaIkidIkShCnIC8Xr2XlEDIDeQnUWcmEQKcgJy1pzjLRRdKuUoxRqV9ZzebFZy+XeciizyCxNmjNH9KejG+Y2fzalyydufHu6c3/dG2Au4SYUH9b00muJQlxHRdhstFnJu+6ybJOZRNfUzA6KcBXBxcU2ckSwO3uwqTJg+rINVUCecZYTlYbkdaAZ6Wetrk461SxskTl3SsFsLPmW8veqeZ2yPV2Zglaxi7A7ebViRGCiM/e5XPPky2k7+BJYedv5xWE5fks5Trq4qLmo9FyVrKBZqIVw5HLTVcO+faX9vjTz7YIE59+IqklhiAmXbnKVX86lXN67IZ6JiYH7ci0ZUzk4E6URCltGV3KdLSELpUil2uATAHySrY5Y/JskS7JVLGazMsBZFHDkskSqpLFZFvSiLzIL0lixMC91u3F32a0uHtNBj956gwTE63X/+2nbvu+YXeepi/RGIS2JzEpD96hZHWRVQRmEqWy+qwaqVaeu5GBOwOALIFCUtQ8lEcbZMxttyDJ3pMyOHkbVoXF024YV1XBbccpjDF32rPppe1trpM1HMSlIyIk4m++0iYxPirPXpYDzKKvMXM2KhqcsXY9Le10qCQLNh0ELu941YC/+lzAio4YJjWGicCNyVlcSoOMRV50Zu3C8fVTFtcrK3jKtL+TjnJQKcgdg9JWrtgxe7aC0WaPZV6aXFiU5erOoow5b0rJgV5IldUAr67tVZAXZDA+L9GkII8ixcqFLrEbfN/uy199+8L82Vtm5zZVAb7Si9AEu0+c7+86e7GH73kkmnxfGZW3H62tvZ9p0tT4Q4gSk5fkSQ70sfLMXIuPac4M9OXZHkqJQounFXeVYTcpsB0lCicltwNtx71tTDYpcxcBplNib98Nefiw5NDZGka5KCnxpMYZr9MoCfBxFyU78k4nLUp+tQV5FLvs2hRxxSV9vnawTqQ8hrGgJsFNDE4sUvmWduHEqQ5HWrlQ+ZElBiyN5yhaxTJ3xda7ZDMkVSr9CnBntUAmLRPImJx89RAlcCOyiVlrs/daD1OWL+MSK5+yJQugI3DEMi1/aZcrh7uFM7plFYOfPb9EtzdkpTMkSdJUgUz7WrOAqATowk0pm4DiWT92ztxlJh8HegncxaZVhe1WSBZhu+dFAW4bZIq8W9zJwS0rAC8P/7Hd9uTAzrOVOXMneI5N7NiuoAhDxMe+0mBxsY7wHeu7l2/C8RqUgpwqFmHWfFuu4869aW33tpmdlrz91T0ePtwmSGoMlEc9sVo8K2dVkhTc2VqhU0+8HA2VssnZz0znPVZHNdjPoXQx0z17LfNt1VMNLrP9jjJpIovmiHEGH2taKdJ9qwvtqhWmVUYvjxHJAA/2+mEGhKMFkrgoLswB/vvv+zRKShaXVvA9VWwgOnZRcjCXDJLiIz47f2f+fyFPxp7LgC6zeGW8WMHYsszgSpRYPJMrEuVUAe456QAgN9s6MM1wOgY3T8Xr9HVSORxlO3eePgEfvbVFID2UVGn2snojjmcwVy3LpfNY1eGpFk8UceLgJw5vf92IP//CgMeP1omUy0BKvESn7pFAZoOXslp5KXInwz50+rOq+xaVmTzR4OQWoh1trdKSAJWYYlhnPpdF5Dd0PKbH7fUsF8tRYvIM5M+OlYouX1OuVG8GIVxW5vcT9M/ZtH8Z4MdOnGHHtk2Nf/9Lf7hzaXE+H9K4VhtSUUeyWm+vAnP5vRh/vVp7P7NEETlwxschyxJjZ0FmNrXJcbJNXlPtrcbAnaXv3awxWduZIXmLWNbTGadHhHJDDp1x6IUeKCeVJ2asPHb8xq2ekOpAozEvPO3GKRI/Dk1XsHfziMcPhSTaZ6g9aomt2XZSDa6EHVppE0sZW2qyILNg8iKJknW4O3l8Zb+WDUx1NGkHkUHqYkJANl0rybr7cwOgCC7zwHPsemdoWdUwUXGZqi9yLyaXLaKiHOxDEgSGWmvdzqtu/KlGd/lfDdpTmyzAT58+x/Jy53W7t8/87KOPjqi5kmyGR+UfZsznNgXDlz/YeECZf01Uvyew+ZwyEApgF32MqsSKqjJUMwM5RY20KoE6f50meRSpF27BbQFcDAVyy/KkzN4q7ev0QpZ6mv/5ty0WhzWE71p5Ik1lVSkG5zy75qxME8jmxOQMbh2VOHZoNxx+8jt6fPnhNouBRygdhlLipT2UxciHlMHL9fRC52W0Bp2CW2OQVJ0VkTK4yYP0DOxKipTBrSRKcheFXKYUOrxoJyxkShZ4FlZh5dyMrXKrAT5+zqoa3YoyyTBIaK/b8LMXzhy4O4qGn4KUwR99/Gl83+f4sZNIEpQrc31Y+Vmm+oO+7qMM6PL7MXYrNLgoQC7HJUp1ME0ObCmQqhg/pkqgdqTESSWJkwM809w6DypdR+fgdp2s/qLK3q6K8LyQj3zF5akjdZAuUkr8rDS2ZG3me8Snv+QzVhNSsHm+U0VJpsRapps8uVy1a8BbXtrlz79QQzs+Q+nhS5EnfZQURKWAbpzJRZnJyzmLUk2MVqCMyC1hpclnO1pWFxRjJYpZNMVkWtvHKWRVnuTOSonYqAD+6z9W4Q8q+lwbSRDEXLxwmijxSOKAHOCe5+J7Lo6rClbM+myeIcP+DdRN5XFEoUOzwnyzaqBMxTPOA0tRsHnOkF8P4LIAuCrVUDtpXYpLLkVcVbglbmk4UKG5LXu7jp1atdzR/N1XWyx0fKil7okoBWPPIFEQonohyw7BuG2X97TaRIZ1Uxym2op/8soBn75nxGLfJ1QOw0Sm9qRI3RtRNGPL8cSKZe/sSzpn86I30smcFZW+Tsdea2lHX2fnvQxyke6cl0vJVJ7Y1bmsx8WYXBFVgAuDMM8M97JSyIBV6HBDNtVBSAfluGSSzDl08BCzs9M7br/r/p86d+48ynHsdndSFIEu8I0QdoptTMk9MIxd7BLQq4dYW6JkiZMKsKuzv8sdLna4O1VwZzsbZMytSsy9isGzcRPFyAlH2czlseOCgydqaHyEdPLm3KJ6sBw/iJKrUfzy5VqUHOSVFLTInYy83SxxwDhctj1k18YRi/vrmMSzLJ5YmeKUXJyCPcuFXlm9kCzsXJOyuSl8ci2LuZHl2EZlQ1UlqfbOrktBRjm4tUhnqWSaXIxJFTGGB5O/WSVTWIvlBRXHLmVyKRVLixeYnLvip3bsefGjp04eOe4sDxKMM9qw0NWvP3hiiammV9HHfB2mfsYvj+nt8ed8VghVkFfliSg5E6IUbBaAtgxOOgq47IOXj3RLa1UGdwnk6X71bloamrG3St87ToRSEZ/7WotDC3XwCnnilqzLyg3L6nERq1gpZ8+xREZ5d7OsjDZ0uGQ25E03DXjg6QZo1xYbSYmbpNndpCqVCuYsW3IpyFPWK4Yvpa9l+lqmq4rMDnvuk3TFkCJldZ2tsCYnpiLhU36dsnSpvS1veymD+xlcp69LrMLuXCE4z2Rz+Hrf6W8QfnDcCSMbfQeR3R0Aqsts9R/5Rn5S8ZQx1zPag9lJoKq1C5ki8jLQcWDnbK5EqQm3BO50PmGxbQerge0UA4LyEW+OTkEeW3miIuqNkK8dUHzqq02GIw8aDo4UuKIqTcY/f/l3XhPgjOnvMcuw7ItHscNEy+GtrxjxhXsG3H/AwzRdhomPJ8hvNJX//EIHl9bSHORlBrTBZ3qDKcvmibR6XJdYO5OvOtv6RIuS/halQLcaQxW6u4gL7NdEDvQyuNcE+LOSaar9lR2l53v2uhpH4/gqxhURbT9hpmXdhuqHKv/7aywWVSWz6mYo/zvlX2xcnsg1XudSRBSglqq0e4MSaW1KAe4C5FnZrMFxihHKTroJk6OqQHdztraHUjbA9LyQKEz4wr0Nnj7ZANdFSJWCKp0bUgouhayev3HXKEN2USGX1vSUMpnaZNv2ydwTTxKHMHS4fFvMG17c57HjdYLYI5EuQ63wEsY+S+aFM8bg9tmMfRZUdrNptLIzJo2xUtUoW/qf6fF8RZUgdWmWoS5WDTkO8PG4hDHgP0Om85nIYdyh08KSw1JQY2nFwW9DGIBz1x234rqKC/MdptouSTq3ZG2Ar76bxDP90PQvly/sKs3NWqDOGLscYBY7EBTSpGQV5oydAbyYnJpLlJS5LWObnKmd/Ll47abBpaMifC/kyROCW+5pMBh60HSRIqscpGQPrpHFLP2e5bOV1aJkPmt1kPxYwqdUgBVGLq1WyBteFPDpO0Y8dtQHx2OkJV6qxZW2W8iUpYFIyOUByVgGURVOjqMopIu0bJ6tKlmQr40Fu9RFok3ospuSXnNdMPt4jmMVwMdAX8HVM7H6mMQRwiarRqHPPfc9Bg8eAZPg3PHYWfuvxjEi/UWqEmL8HxelH/Dsd1XFQakEGs/A4rIE9rLmzkFu9XY5m6lUWmGYVhTadq70tVOeDz4G7vRwsym0aYG/o2J7OBGuGxGbhM/eXefOJ+tQc0Dahma3VMJbKY0tH+U3azwqM7XJylnJm5GTvGKuAHowcnn5VQPe9JIBT52oEccuRiiGwsFNyD+TSAoWLz7C2kxeritSKmNuy+b2vd3YINPhud+fMXq22qYMng/tHAN3JeCsgNxQ3gFDrAXqVTisBqvZ4SiYapzB9+2+P875eVvj7QrNpGeo+dlIMLHqrnomMK9i7THGLl7bN7IM8FJbV3lngQqwK1KlnKYvHWoM3Kp0OMUmqBmg3RKoM+fEOib2WakIz4149Ljko19pAR5IFyFU3kWk0o1Uy1nXsiNUCDsxBjAqxWkFc5c0uBF2RwyVlobm+8Q7GOPwjlcNue3eEQ8esZMEIq0YJCIt+EpBl2TAKdWBlAGSWmyoNUoxLLnbDKdM9/PJguJMe8uUzYV9zq+hLg3slKWbv5IAKySJKGNtTTADudyqIj5fGdJ8gO9qNswJJlqKOAZnw0RK74n9YE4+847KReKZXo59mIK5V0sdQWnK6pjuLqSKSJMFhfWUATyfk1cGedqaVmw2ZXd2KAbgF+CusHbpOWuszaSKUjGuGxMlMbffX+eJw3VwXZA2uPSEKU2OLQdWYlVgJdY4eYVNlwFdlFwNqlo8bWXTKnVUEocgdLly14iXv9Cy+DCxLB4Ij5EGJxFF4JdkdqEFVCFR7AeoZqmLlUVJMMogjUAZbPbTCIQRGAHSiEKqlILKgr3T66rLN35prvsaeRB7llZr8VU4LJ3S/O9rg0nNhuVOjWHgoLXBmWrZT5TEkiSyNdKrJxU9c6WJKP2kqp7KLCGRS5VCmmRLVdUxqe4RM1Z/Isj33sl3L86abysND8XWJUqNgbs0FD93T1SCckoATyWK50QcOif4wBdaBJELDTeVJ+Staaq8S3B+45YuyLNJFFMFelmmlDcH0GYtLe7Q9CXf/4YBn72zyYEz9uZLtGKQKFtlmKTJH4TV34kouccFyE0G9BLApSm0uEw1utQGI+01MlJYgOtSrJQxuS7HUmusbCVAlz36MglWE0DPqPCqiBSCODaEkURIDy90rOT6i/f/z/VTbe+/nj93+jLXtRV35UKmHGxrHEqUdfK4pBjbq3L8e9nXZTYOOH1OxwPnwB07spEJZY87f3YK3W0dlCq4y3v1FMVU6e4PTpQ3M7hOSCJD/vwzDf7qlknwfVA1lHJoKENdmXQcBXmDs1tqjSsyqeVElKSYDEslQC1iicJ2zG5aIUkbf4teSCUNwmi2bgg5syB56AmPWNjJA1oohLCltGvFPVXAiHIfQvHelESNKZVIF7xf3JBUyw7KnV1rHuW/U3KT8inElMoHqHYh2bqdsVHLaUAeJ4IoEYxCQW8I67Zct2Hrrhd/yVlaODnpiP4bp9uaIHIJY41O9w8vz5CrrK9rBJP2qarbRfqi/LpIAJTdk7EalDJrV+rATUV7yxwMhSRRJe2t8p0eShtRKTMmSbJKwYy9I1wn4uBZyYe/3Ejnr1j2zjv3s58vqIwXlqXfuxxoivKbHEBj4NDl2pBirqBJx1In2XDTRJGoVIsnDt/16gGfvL3BvtMuyBAjJKPExSGtF8nOdZJexSRL/GRQLUknY98b7Gys7LPJFIjSgDRWtmS6Wxr7M4xO/XGdBqiV1bnK5mtKk9LXyrgSq8BW3GnlGyXRdhv5KIZOb0hjcvmNw/DEpFN3B7TqI6bahu5AIAJJJA0i0ZW77OsvESnEKx9Y5B+yYpuVZUlZx8rq6zLAbRdJEUwUGrzYKjDbWU2NgdtOZNXps7UDldKozO9WMUrGqFSeJCrmM3c32Xeo0N5SSOt95x00rHkBBePvReXalJkwW5zLDcgVT7w0kcrRwtamyCKFH0YOl+8OePNL+hz5sE+YKBAOiXAYCoGTpPZdRj5kjoqgzMd5CJzqJWMEyhSlokbaz6jKrCtMkeIXoKUFvs5kSimOK4O9DORVYC+T5TcgTcqZ4Azco1Cz3ImYXxqhxQBnsh2ho4i6rxkGdnnVBmxHdhb4rB5wvBZ7V3V42Q4a/wVXJwLWbm6osnb2PmPtDOwZc+dAV2UmL3S3yoLIbIsTqXFkMTRfqQTXjTh6TvGHn2gzki7ZBK2iaz5dQco10GU9udpXfcaLU4yQSd0MA5WZ6rqswUWlPiXRDnHi4icxP3Fzn7+9vcGRsw6oCLRDJFyGQqCSwtGQ5WBzDOSZN28AJ7vh0q9JY9PzBpOyduaJ6wqbm/TnaCnSZnUxRgBVHOicpatgXzvIXH3+oJAr+S7Jid28qxcIvEDiPHpA0+sZ5peLfJcUgMxOtql0V6xGeImlRPlOrCZy8tepz74WA5aBLcZYO0ukVMGtC4kiqwzuVPztFMwVv7t0SMvirhPSDTV/+uk2Zy76oJzUGpSpPDEV3zt/Xf7dKywlvi4TVTVp0dhd3ZkuG9wjq1OwpCKJHTbPBfzIW3r85gc8OpENCIyRBFpZ2zDJPoeBRFAo7ALkxf/td1SKonR+U/EsC0xIaQoGN6Vrl1qGJmfwZwg4S2ytMyCXMfQsAC+TRNZyBzZ2nJ10uOISwcYN4CyseHRWPBZWBK2m/Qu5PsZ+yHGJIiovSpVhZR1VBnUJ3ONgGGfuDNgFaxdTWnP2TgvuC0CXmNzRKaPrXJpYOaJLUiVj7Dh/dlSE40d8/LM+7/lYm0C7Vp4IlcuTvKl4zBKr6O5ckom1ztiaLFS1Csugz1L2xm66q0ultKmrEmuHmhPzY2/rc/CEx/s/Y7U4KBIhGWkbcMqEnMGLAqzsYhUrdNmutKAuJIsxKZuLQh5Y0rGlrqaS+LEyJq9LT/GgyyRXwYyo4qeEnfHTl9+WpcA1+7rrSOqTLnMTLjMtF2fbBpdFV7F0wbJFXv+dX7Tx22k1yPMPOA7osSDiGVvTZGkZrUgUUwoy0y26y1sGqrLroEtSJQNzicllUR2Y6+782c4aXFqGv/1yg+UgA7cFuCut9nZEVZ5UVp3MLnuGc1Rh7FJcU27erlT1jW+9qMfqxKVEaYXWDnHiMOEl3PyaAZ+8u8FiT4GMQCsirB4fry6sYuaZmdzmgYqkUFafkgWbJmXxHNCpT67N6msus1JZY1cTLcsD9M2aWHoG+BUGUOlcZn9+FBjOzsMoAServirv1iVS73TN5aEcOJXAC0XGKv+ga6T9VwVk5banHDClERHSVLR3YaWtDiqz4TQFuJNKgJkFmdk+N06Jvd1GzGe/WuP+J+rokva2TQ2ZPKnWm+StWSX2Lnv+ZSt8bRJP2TNnotLsmdw+K4CfB51Gokzhi8eJi6Njbrwq5NtfMOAvP+eBCkFIjBAE2kEJYbcgyQJNUYB6XK5k1qAx1q7NmF3JQkYZWSoUk3bGS4W5jb3hTQkDOiOxjK1N9r3C0lyLuQtMFV9Ys2dZgEinBYRRTBBGOKcuJCwvJfSHmnrN/nZZgibbwKsMcjF20SqAHpMp48DObwJpCqkyxthCjLG3qAK7cFHS98rgpCPGpEwdE2lSXV2SJJljIksSRVr3xHcjjpyUfOCzLc73PLvftbSD3pWg2LFhLF5YpbvLvvMa7D3+qCR6Ssy+aqvFbAvGSte93T/HPtvtT9Y3E37g2/vc/YTPkQsSRAQoNJKRkKVNpCyoMlCLyl1YGrCa/T/PZqbXoczmwr7OwJzJlmwltt/LZr+LVG+nr7PeTFG8pvwaMQb29N8aUxm5U5dittmQbJxTzM4qHN918Twnj5Kz67GWxHgmfVQGdPa9MqARlJbIqu7Olq78xOf11SXmVhngx0Cez8gef53k2jtjcScbB6xilExwUlvQ8yKCRPPHH2lz58N129smHau9pbRdO6KYv5J/1mxlKZ+rNZi8jPMy1ldnMAvXotjjvVw+Wy6jte1mOnNUEk0sHVTs8PLrQ370HV1++Y89gljaDJSWxKmrIrUofbZ0vS7TobEtaZQ+n30vSrFB2l1vwEiTBpgivwHyoDO/6U2lXkVkDCyquBJjmMk6fcZxlz+baqdQJm3iBEahZBRInO2boOEKTp+wA9YNhdRYS1I8o0k/dgOUP+R48XvBguXBPmuwd2n/ebmWPJEm7/a222brkkQpjf3NdHc64zoPLmWM68V85UGXT97ZIAhd7Ehdq71z9s4DWyrHWt5+eVm1x9pNx+Ve1wzYhTQoiq+MyqoMq7XiiZZIbaVKBvQ4dqg3Ym5++ZBb7xxy24PK2oZIEJJIOAxL15fMGy/JFbvbTFWT26NUlyLTzylBpb9f9t6koMuAnl1fIwQ6334wDTzl2ljK2XkV5ooVJ7txyL9enP9hX3P2Ykw/jHFOLoTMz4dcXI6oezZVX9Rir+EUrCVBxj5Qxg5r2YDjLC7KervsLcuSY5Hp33w/dfs+1975JNQC2I4aA7oqwO2k4PbciJW+4bN3NzhwrmalibAlsSLT3oLSBCmzCtz575afG1EC+rPokwzchtyqWp3aLvYWXT0cqKhRkVIhdYLUDlHgsGdDxLe/tM/9+zw6YZp+1VaPhyiyfSAkqTdeKaMt1hyDTe7kN6S0botKW9oKNs+kSprwEWkNeQ50kV93Ten8mQKo4xhaS+pmrZuitBJkK0emElwXatOGrRuGTE56OI8eNCwvJpybj9i63kEpmVs45WTMM3VnVD+IWQ3+0hKSBbLFjVNNlhQBZgHsAtyZD14ElzIfzG4qjF0JKLNETtlFkbZTXpPwF5+r855PtDDCsb53hb0ptLdc43OXT35lCS0lmJ+FvSuVfIyBOmfy1a1s+aa7WtsRwtL64kpqosRFKs2PvXXA4bMu7/mkQxQXINcIAiFROhskkWmFEshzUKe6ArsI5PAXJq8TyYEuLJAza1mKTKoUIyYyq9CIKgtn7FzGUB5UPhumAHSGQ6u/PRfWT2qu3m2YngFnpiFgKLjoFBV85favCsBXLSmGVexe+RDVLF+FwctBZelrmcedMXsxEy/1vsccE5mBW43Jk7E961W694zV4BGuF3H4vOSTtzfp912oq9Xsndd8l1YXUSR4Kiva2OtKgPR1GbwE+pJkWTVNNW06yIEuM6BLuylvopHSIYoSWs2Yt75iwBfuqnP4XHpR7YBqEiEYZkGZAKFTcJsC7CYHdeqWkG/PlC44mZOSpe4te6sUrIU8qQI9z7GM4yc7dznGSnJkXCHIohzYZDJF2sFFxkAQSZY7dYxs4Ey3fXTo0W4ouz+ka4dTZqOJq93i1R+YBZLPBupCy5tSv2KZAU1Fnoh89l3hnuTgzphblAezZ86Jrmy3IUuyRMrUMUmZ3HFigkhz631NvvxI3Q4Hl64F+Bh7Z0VetnKyFAznS201/ZwhXHw9ZFcJvQr00qF1mj3MnJR0KxKru3UhU7QkERKVSLRQRIHDa64Nec2NQ0593iXQVoenlVDEOIwESF3atkqI3MDOUj8qX4YyRyWtFRfkwDdCFGRv7DU1mXyoAL3IqOo82VPMyhECW9ZbwlHukGR/xj5VLEcboNvhRlIKukIximo0kgbO7l3bVnwn/sLKfPOfZlOflBoPpFYz9bMCm9V/r6q/Tb4iFMtXBvoSY+fAzoBelI1WnZOq/lZ5+j0pvY6R0nbqSC/mjgc93vVnEyTGKZwTqRBC2n2ARJGWrzJ42fFZm70r4H42oI8le8ZT9mW5osmmXqXFWKJwVHJNLq03LrRDHGs8L+HnfrDLgdMOdzwg0Z5IIWt/gUgrhpQFlSnJkjU0ee6Fp6tt9nnTgDLT4SK9ATTFKAlTxgMUPvmqJoiyJMn6EsaYvIQ9W9xlt61MEkMUC+LEJTbtL0zObF1RL79pWz8JF4+0GuJHlYzzGudcomSNvOWOmpLEGB+KWUnOZDdKucy1VCRV9rSLysCyBVhK5JQCyryg6hnAXZYqTiWhY3stTy8J3vWBCe5+pGk35ZG2HQ3p4khBXYIvSTe5MqtrtyuHKJ2nsRFypZp3qcYapkvnsngvSje9WX1eMzIozQEU41Kv/D0DszMxvmO4/3GPlWFpOU7DzGyKeFFxmOrZCvC/kbu1dCOMya9y3WJmj5b/bNkqzTRQ+YYvVrmMrce3f7GFVnGsGQUJkXY5evLiD3ztwacOOHOTIVIKgjCmK5N0smna/Dr2a5XvoEITmTHWHmP87MRDPrMulyblALOyLUZVmsg1NHe2w8CahyoHlmkpbPo68RI+8OkJPvXVJqamQCiLTuEgpKz0Wxb9jc/SMV9mn/G8cgkX5S/nCZ4qkRcyBSqBZnV+YRpkpvMDTcrcxuiiRkVIpFYkwkEOE25+5ZCnj7q8+70OoR8XABcCo10C0u6qLL+eWBPbYApQpql0Q5rd1CbDYhFsZoycyhZrDxYLQnb9DaUAM8NIkn0kkd+cz5RzyZM+6efKa8KNIYw0KohRjo0TnIlmhBAC34khSRiFgii25YfZcllcJLPmDyyDGkG+/UgZ8OMWYeGcGMZH8FbAnjG8SAFe0t4VBpdJyUkpgztBlmpPbnvA588+32SUpFPwRWYNpllLYSrae83UfBnolRt7TK5UwL42+5k0uMu851UZTcyqElojS5lNWXJWhLKFWTItzpKaRDv4ruYH39Tn3sc8bnvE2oWZN44UaOMQaNuOlheRjFuHKVJzZhUCRSZNSiDPmh5Kmjv7M7m9J0EaUyEJk52v0sBOcolCIVWysymqyTLb8JBu+a7smD5jDM7MRA8pIQgMcWwnmhojU/O+WgsuCqyXTPZn0+GlWdGwejktA7xsD5bBLYqdvdQqHa6rHvg4e8ukCDCdiEEAv/6+CY6e8TFOsVtyRXtnEqkC7DFAswaYcwiXTlL5pK0B8vENBKoZzXLxVVmPr65N0TKtOJRlFleIRCOEgww1l2yO+MUf6nDvz/j0RpmAlfnnSnAYZRmWrLhbFyA3EtApqA25w6LSgNJI0q6kFMxpTUqR5Ck5ctmfqejy6shpUwI7ZK5KlTgyHz6TKnEMg8AwSExubzqT0x6uI1lYihgFSSkTRcosa6y4laXDVN+nX8sckYpMGWPzyujdNSWKLvngpb7ElM1z5q64JqXdeVPP23Ei4gR+/+MtHtlfs563zJi7cE5cUZUlSlRZW5TBPnZzZ+F9eejmWny9isnHnJOiAYKimKm0u12l2lBYBs+DTi0tyBOJFumRpFJFa667LOInv7PD73xkkjBJWRzyqDBBEehMi6e59hLIc4kiSllOYTfoNWU2lyB0wdwynTJrTCFbVq2EqSwpuyaigrVS8V+ZGEqEIIT1wdVEA+m1wCQ4i+YHabhNji4+zZOHb2HnZrsVnQX4WhdJVNk7WzrG5MpqB2bcQakCugC8GZMp1f0ZC/ZOCl1eTupUjjSwrCV86T6f93+8RWfoWg8w9bxJm3Stc1JkLculvKryuVfr71yqVcIykb+vQHoN1l6F9wrQC5BXWTudCptJknISSFgbMZEKabStV4kV7Zrmh9824KGnfG79moJGnDJ1+gmlINaSEVlMUYDcYEtjyW1L63mnsaot680kTNpZX5Yv2eptKByUcbAXWcoS2NM/m7mYa2HSpFWJjhLs3mz4nnfcxOVXXEW/38dpNRo0Gg3azRqeq0i0vQtW3Sn5ZTOr9Xh2gSvzoFkF7CyYLFuCYlyWlCRJIVOKHXYtwJOq3y2tFSjzfdVtYClljHRi9h93+MOPtjm86FmLKPW77bMs2LvkCFVAvpY8qUiTsWlN+f/W5IdKYqfCRCXdXbBTqSx13CM3axRiGZ3vISkyqSIMQjrIyLBrOuYn3t7j+HmHQ2cExikLLAHSJUlBzhjIU8SlwE6lSxpzqZTds0Azq0XKWbwkXTLTIWP0CkmsAfYUcvn/RH7eCoAKIXCVYRRIBoFHnNSIkwSnUQPfg8mWZv10TKOWMbTI9WB2McYDp3JqdTwRtIq5ZRnohTypMHcqVVQqQwomL+lupdP348mcAuhKJUgZ4/kx5zuCX39vm09+pYFxVZGOT6XJWuytSjfgauekGmSPJ3XKF6tiP5X+TIWExsCefW11TUpZh2eALgegWeePTIuastdp8JloYjSutK5KJ5D87G8rLqwI8Mt0KzA4OZMX8iS90bLnlLWVBKMz+ULhh4ui2CoPMqV1S0ypwcXk9ShVgKcLSml1TP+NMQovMGpINAyGMd1+YhuQA4OseQLf88/PTSa3XHGpx2RziOcW+5JnBU+VrGIuFcyqr4+7H5mHnbke5b+bATfzuCt/RhXWYF53klUMjnneMgsmVZy+trUmIZrP3FPnSw800lqTzBKUKYNn7F3sGlyeN1jWiKvKYktavLySjTN3Dv615F7F4y0dZMwtisCt1EaWOShlPZ7oLPFT3ihVoo1Kv2Zfx7GDMJLXvWDEm188wBOxjc50dkRgYowxxAZGGgItCDVEWhAbiPMh/RCne2zGlW0I0303Sw0bSRoI5s8am5wxpDemqTQQF43E1b9X1OZU9/kMY1joaAZmmpWBvKXmuee1Eah3/9bv8k/evGelMwxWtB58r0zm0cZHp9s0lItgrAYVFblR7r6p9FNmoBWlr43dFOW6ktXvy1agKcA9xtzljngnBbfjxCRS8+k76/yXP5ng2Hk/bWIoEjpIByEFvoSatIPsnXQMnCPLSacs8VROdhWD+fMptwKklOTbqojqkH5b5yPHEmIUc2DKRzmgLZcxlAL2cveTnVKQ5RpY9WfHJQDaMN1OuHx3zKmLikMnHZvwye/G4m7NHJBi/MX4nxm/k8dv8vTfWb1orW74KL3P/pGKiihnfkvJIQNEiWGpF/HCF2xhz+7av3/y0P773viq19g9eu5+1CHBoSVdtrRcPE/mwj23avKlQleW4EKiFCe44nun36tIlLUCSzG2B3omU1ThmsiSFMnALUsBZWYJum7CsQXJ+z/R5MARH1oqlyQ2sWO1dyZN8j5Lxj161u6YLwWb+SUX1YByvBbFvi9clLWSPZa19VjCp3BRZH5Rq+l7Kez+7VKY3BsXGbOn9QRCaDv1ylhvPAoMl+2K+MGbezzwhMfx+dJSlQedVobECEbCBpekI9yMLtehFLo8r1Gpqh6brpf2e8JUb8J8y5vy182YO5eCLuvNGD+/SgpmWnDN9pgbLw3p9EMg3YTqZTdej+vWOHeqxsWTC0w2rVmea6IssBRV0GcXbbzWpAL6NYJJIUs6vGQRlm1AkQeXmR7XFIVTJVmSfy1lb5Ww1BP87l+1uf2RWlElmGUsU3ArSbpDcXkMchFDqNIFWMsWXAv44xb4N/ood9dX2KzMUln6WltA6XQ2oBEl8JcynVIYtDAIbc+1Fsq+F8reRkKTDDSvvDbgX7+zy6+9b5LlYUn8mhToEox2iKXIHZQM5GgLZDLAp2SRfcbSnldkk7GMsBWr2YyV8bim3CRR8H+KQTNGKhR/z1Uw2fRZN7eXxuS1GGeY3aOwe8cGbrjuslvravFdzaZHYsoOSVHvkKfNM3kiqhJj/Chr6KL6r1TDXdHq1u4r3JKxrpxV1YHZ67iS0BlJwx9/osl7P96iF7m2kCpj7tQ1sbP7CuekUlRVOmnj2csKU68J5uqc628E6ePd9TmQs++V3ZaSXVi4KGULcXwyrS2nzdrbsgGe2hR7cLYc+NG39fixm3vUdQw6AZM9R1aXmxijrSYPUk0epUdsBJHGzjI3JS2ezg0s3peOXKOn2npcX5e0d/6+8ucMulTGkJGwcnyeOrjwrtkNe271m5sKgK/fsIlbP/UbAxMvHKv7srg+oqqhq05HURBUBI3FUQb2uO2XW4GV1rKCscsWoMwArZJUxmSJnCpzSxmDq3n6iMuHbm3QjdKqMTJgZ763behwRTmoNIWuTW/gNTOVZR1LwdqrUvOlv/ONIL1oVxuzDLNAMx9OWb4JSk3JOahl9X0+aiL7msKk7W3aKIxWxJGi5Ri+53V9Lr80QCZxDuoq2JMC5AYbdKbgjlNg5wGnGQs29VjAmD+L/PvjgWMO8PTPl4duFgF5IfK0MYDi5JmFYz/507822LhxfQFwgMuf92auuuE7mF63lyRJKjUjBXgZc1DS2u1x92QNYJcdlJzZxTiYzRiwC9dEluXJGql4x0146qjLT/7mFE8c8jGuLGRJzuCyZAuafJDP+E4Na1mDa8mUSmJHVBbO/zW5Yqovq774uF1YbMFd2cS11LeZDwwyMvfHTWkyltYqHf+mSIyDDhXX7I74g59d4cpdAURJAfL8iFKwp+5K6rCE2oI8d1hM4apU2LzE4HqMuTOg6zEQZ2xfAfwqByVN1ScJ1z1vLz/+Q2/jn7/zLfn5zAHu12eoN2YRsp7W/ZYTLVSsvDLYK9IlB+4Ym5dYPWfuilsyLkXGKwQTpKiCO7MDLbg1PSP5o080eXSfT6JKrC2KehMo2YIVUJd/n4KVx+cOrhoLMaYfC1lXAu+zINyMAbuM8Hw/9hKrr2b21ZKlvN9mNpk2q08xY5OxrIVod44QieS6ywP+5Vv7tGRiW9PXYHFMAtp6zmHK5mX7MNYpyFPJUpEkazF5yRq0sqYqTSq2YNliNOW/a8/eRLvOxg1zbFg/k59XJ3uhHAfleIebrdqRyYn6LsEgtbuqNlO1IH08c1kEj5UAs3RTiNQtWRVkpowuSoGmyrKTUiNFkt4YKdhFjBIJjpsw0PD+Tzb56JeaBBmYx5gbYS26vKDqGdj7WSsFS+5RNZkjCsmyCtlfT56Ms3dRnjquwzXko4yr3ngGeIPWAiEkMk0CCSMQaY2KMNK6E8bY1zoNOo0dWukJw9tfM2DfCYf3f6JFP8KeMJ1SYfacNrAlWhaBZJqq15l3n55bWzZbvM478kWRqs+zmemAQpvOLzdHZM4KFSclK+CKYs1kq4nvN474nnc4CMLVDD47t4nzJ+66ZaLd/OD0zBSeE9mEj0pHM+QBplnF3OU0uhoLMst/d5UWr9SRjDN5skqmZODOHRQnphfCez/V5P95b5uLi25e212uNbGHKLG3WZWtXDWzpeSoSMbAXn4/xtqV74lnB3eG6nKhVf61yluRMvo4W5dS9hljU5UsZWelqstVZatCOwJOsWFG8ws/1OFfvLVHy7cl1Ja1MyZPpYpJwNiNnkI9LlcKNk/WYvPy+0rgWWb28eGjaySLEggTGIw007Oz1BvND37q83fesm3r5tUMbq+OB6LxuWY9fouMzbVxEqPTksq8HzVN3RZpeVPyvqu2oHgG1i4YPfO+q8wtxViAmdmColT+qhJkzfCpzzX4jT9tc37JBU+twd7VjKUrigRO5pxUPG94Bu9bVMBbktklYIuvR9hfl80r89hzqWLya7A6dW9T5XaqlLDbaIsC2MIUnrgQGWuTPsu0GtSyONohCg0bpxJ+4Ye7LHYlH/xsC2rp0rGKyVMmRRJh4wJPlIquUjZXIk3ll1L42fwVYYraFZOde1NmdpGzeHaes7IAUnmS4DGM1aNTE/XPdXqjyjmV5TeXXvla4uWP3l1zOw/6HnYaVJl1hcnBWi2Q0siKzh5j6dLWG+ONwVKWwZ0CWZVYeg1wS5mgfM3h0w5/+dkm5+a9Atxi7JC2tt0RhXPipImJ8U6dciN04b9WZUkePKb0Xdbf36AqycH8rN8ved8V56B8I+TPGVuPuyrlwLMIOPPUfYnFk5LDEoeSjbMJ7/y2Abu2hpYmTcbgKXvnQahl8iy1bx0Wq8mj9IhNKQDN2DsNQssjMZIxXT4eUJry+/TPRgloFBeXwwf/63u+dPc7bn79MwMcwGtegt/chZBNSLvXx1PFOTuvUZsiRAnUQo9JF12SNmONC+X0e/73kjFwp13xnubIWYf/+w8m+cpDNdtAWfG6y9639byzMRDOGrNe1hrms9a4jDUrC8k6vkWJyddyXOzzWi5JdldU+w/HnwvLsAzkYnZK9XvloiyDBZXRmY2YBZmiFIBKEmOn1Wqt0CPBq58/4ld/ssMlm0OLJFOWK0lRv2ISMMaCXGcOi7BAT4Gc1a+U7UStRUWelIeNlsE9fnNryt83TLZqXHv5Nq65bOsqonDGvzCz+dsR0gm7nQ8jgxXAoNMrU81cmqoskWVZUq4YNKslSgrw/GYQa8mTDNzl9zHK1Ry/6PCf/2iCj97aIBTpblSi3F9ZgFti2buo815j+21hVkkS1gAnY8CtMPrXI+7yN8foOwO8YLUWt8+lktnsfalOnNQTNpXMZtEIIbUFuRY24BR5JlSmWdEiis0kS6yh5sS847UDEg2/9PsTnLgowE0/k6bQc9n2xzggbPlAmAaQWW+nxm5QZTMTJv/18qwnWSFDdY+gfMblGqc0Y/u9uzby49//ujCKEn77V78OwN3aetxa82fmNmy6oiP2vbLbSTBa2d8BSm1nZdmSafBn1tpi/O/kDF8CtdD515VM0hujlIZ3Ek7Mu/zc703w8dsahDJtx+mTmwAALXNJREFU/xdrHeWMZWl4faq115QmjAWbJeSO+98VUI/T9t/jMY7rcl346rS9/aFZO6E22LncY155rr8rOrwM8nQcbNoRqlNwZw3FcWxwnYTvecMQR8HP/94kJy56pHOYqzehJrU77LnXSEIsA7tS4FZ+F1vAlblYRmQOTHUOy/iZLFd2agNhrMFrsOvSHV/ds2vrz3S7vVXndRXA640Wt971pS5sHiYLNWomxBhlgat03lBcLowSrAXekl1YBrossbdYG9xSJhWgSxkjVcLZJcUv/P4EH7+1QajGwL3KFrRFSK6sdumsxd4ZmMuVfDAuRcb879I5K16bIvnzv4LzVeBd7YsXXxRoyrUntoHXmBLGymDPWT3dxFVnTJ51HNn6cfv3bNmqQNkKQmOIY4OD5u2vHRIngp/9vUnOLZV+v7GAs/prSWLSLKQQJGmQb0QBZIONh4y2dmI+Ii7r5Cktd1kxlkwnHggBWy4xyWtvSg489PDHuzc8/21fH+AAN17/SjA88aEPHnqVCp+ubZxNaNYjnAzcFfkx1rCQgXiM0cfliCgxex5ciizo1GliJ+uK18Su4E8/3eKjX0zBLcuau/xcArdYnbEc191VXV0El2uNhyj732vp62JAu/hfxXc1m7kqqWMq7kk5AZRZglbelHdLtjdBxUkp+eJWmqTuRFqQlfnkSfY1FEiDSMAh4R1vGHDgmMO73t8mhmKW27OC3NarJML2OBushHIEKYuL3EVRqQduUtdF5vRhcv9bpiBv+LBhxuVl1214PByOfrLVrq3589f8WBMNxa1f+OTPzM5MP63xci0ky66KWA3u8axkta+ycE5EiblV2TVRJRuwBG4cwS131/nwLQ0CqVKqLQO6xN4U0qTYV6cEaMpAN/mSVx1RNwbyjEFKh31fovr0D6wqk/1GwF36gxWZwliqnjLoM1+8/OeyTGY5CC155OPBZ/5cFGNlAadN50srT7VCJxJfG7779QNe++IhItGFN24i64/rUuNEVqiVRonGWH880BAYQWhE6rBYl6Xsk+v0dWXwaJayN8VkC9eVbNy0yywvN5PnPe/ta55f55lO/Mtf9mLiaPThJx44sNcXnWbNj3CURlQ0dxXcQlRBLUtsnjN2Vg4rysFlkj+Lsi3oaIQDf3dnjZ/5vUmePuqnDcNrADt/X0iTgrXNGtnKsXY0DOMZzAzEZcdlXLdUUvdjoP664B5LY66WJyUPnHJgOeaJZx3spsr05WddYXFApx44dndhQcbq0gabwqC1KkpYjcEkcPWuiP/+0x3+o4LP3tkgjRrHblkDWpVOgHW4DZLYWCbPgs4sAM0iAUXmtwsqyxoCk5j8BsCA8mb6l19x/YcbjfoznmP5TN9Yt36T6S4+8Ls7dm5e2DQ3z7rpPr4Xpf2SpaBxDea2jQjjRVMJZa87Z+4U3KIEbiXsEB/hwKfuqPNz/3OCp4+l4F7ldVeliZBpUElpZ4ZMfzMO6meRG2u5Kqw+/n/tfXeUHcWd7lfV6eY7QaM0ozDSKEsgCVBgQYQFY2Mwthd7/Vj8vO8dp7XNs3Fc+72zYPY5gM8uGD8c1ot3bb89PraFFxuDCWZhCUJIYJMVUIZRGo1GE27qUPX+qK7uqr49o5GQEPBc5/Tc293VfXu6v/r194ultqQ9fExbNx9jO0+shg9UXU/ydc1lD2heTG0aFGWbDMCSNvIobkUJtWU8NCFKSe5SLJjh4cZPDeGyc6uhMZvFJsSmRbeXg3MwFktzaU50FQ9oFJOSMBv6jKDqU/QOGdh2mGPW/J7+h5964daurqmj3upRJTgAVDAfdXcAmzZTLJo2hEnlAoarGWFiiryZQnLH9EOxjERKpk5Lou/hsUQxBRpE0hLgN49l8ZXbSnhxx2jgprHkhnDoWBE1aS7eI7Nwmu36Y4BdxWzChJgSPKigffw8nCceTyStlf1xXIqQ6pGnUJPmPLaokDRpLmzgJMy8V7k5OBWSPYxTYQo3FzO2xlEycIHF3R6+/skhcA7cnSrJ5dCj8Q5ZPyI0FPoIaQkBrDA1jlMOHnL6UOfUBMZQHWhtG8J5Szne844utJZb8NEx7i0dYx+sXGdjx77Mx9dvXl5Z/4IDP6BoeGbkvpcWEj2dTC/GE5d4CCLpb9BAk+RR6GsoxWES3LMuiy9/p4QXd9rp4EZCetNkrIlMYFBiTqBL7yZKoimMCTAnwQ498UGOAH316BBXEx7kQ1T36dk+MhlCn8sy5uiSl6sLElxc5eqKNNfiVEIuHjmEKDg3olndGDMQuARLuj3ceM0Q3vFnVcHHNUmuOoGC5u8hqeacw+Ohc4jH8SzSMRQVB6VAxgQyho9zFzTw6b+YWemeyD/e0drRGOv+jinBbdTZmjPnbeyZkh166P6D+c27XJSLHrJOGAtCoFWYioKppFRWTIaxtOcCyIr1hFAGigDE4OAGwb3rM/jCt0vYtDN0wadxbmpo4KYkduio5sDmOO9kAm+sbCYjBpsqLCnZPDF2lXTc0XhLYluChSg7SCSuk6G0utKp8HF1MDDlFGEeJ4mkvCrFASJrHIZcXASDCCnOOA8lO40dQKGAYJEziIK5ARbN9PCt/zEEzgkeeCKDIPqfQxONvGhiiP+Ah2/dsBi/qCEhaJEbWlaCMB2OEAKTC8uWSTlyFjC5haA9MwWlie8dsjIzNtaGK2wsDI8pwefM6kDXlNKhUoFdufT0Zd5whcD3afhPCquKmZgeRM5eZio1Aqm6SIUyXCckiEJhOSX4j6ccfPYfS9i0W8aX0AS4VSVTLARQapuoWTopaWeq9Ea6JNdB3rwtwm6in7r9WBtPLNF2ZWOTgxOKWz6KEdfrF0YpcKoUVyV3inUlToxIl+Rq0gRzCRbO8HDztYM4/6w6DJbg4CyNi/uKhPeBMIuIcwYvjEysc8HL/bDKMSWiVqplBJg1e4l3oJ9dCVo6xMzJY97XMQFOiIWDB17BlCnTemfP7tlRLuXBORMSUqm9bZmiDolp+jBMP6rHHdcpCUFM9NgSElWj4mAGxQMbHVzzrTK27rYRlZlSzH+aUgkaIUyjJkhm56jeyzTpPRplaS67lgpoFfjJERB3OSq409z3kccSSb5NIj6eNCUyaUZMmAyF/VlVUNVYljj7RyZJcE0plckReo6nNB9yl2DudA//5/OD+PMVdRiRCTHMNeOJkFs1WIt5AHfFZyBMi0HAUA04KgFBnRH4ocLsBwFy+SJ6eubu6O6e3rtj5x4UcmNCeGyAA6LWx/4963Yb1P3IlK4eEHgRqG3Lg225sCwXpunCNFyYhheXLaZp9QJVwDMYNgczCR7cmMFn/qGMra/Y4KkKpREiTNISPcbbIKPX8252x6uLWj1Ax2iqspmQ5Dp49fK+Yv/o8OZNX8JVRYyrFCT+BR4DnyGhjCpSWxkYenKyKrGpvs5S0tyUia+aAS8kOm8QzJ3m4ZbPDuKCFXVQGeonrSeMAVAluWovlyB3gaAOBA3wwEM9YBjxCaoBgRcArsuweOF8VGveR+763eO7DeOo8B2bgwNAx8QuuI0qLDu7r3eX8ag78vy5WecAWgo1ZJw6LMsFpT4IEfU8gkA5OAIHCx8607m4BewZMPHEH21c/4Mitu62we00G7eqWMbgJojDYE2gKTvH0KiJnh0f1TBvArw+CCIUK97MqKgm0f7VWLrzZvCPR4pHkjw8kea1JKqHM+bgIIpUJiHX1rg4Itu3kPa6fVxwdxIqc8LMKgcBwvhyHpZnFuUmuO65DBkwJQDxGObP8HDrZwdx3Q+KePIZB3v6AdjSNh6asqJ/kumDmwDwScTTOTFRNWz4ngUEwMJpZSw9bf6jl11y9r6RSg3FQu61AxwAbCeHg71PbHMyxVunTpt7bqV/C45UGrA9H8QIhGuVcxSyAdrKHEFDcD3t4ZLQzCS9hw6w9VUTN/2oiLsey6Bv0EwBdxrQ5WQbaow3V0o+6GWP1eAqCcrxWE+apH1qnAnRrCxNYj25PQ3YXNkdglTiXP1EYl1PWUsUzieIvZyh8snAQYx4cEhnCYmkPg37s/DZCd2GhQkOlLJIwkfXqwVciR+jDY550z1854uDuGtdBjf9cxEvv2qFIA9HnSo9omMBNDhaywyFXBCOAQJQC8zIoFI3sfi0M9BaLt56z+83bHvnxSvHA93xARwASi3TQc32ja35vXf+cN38d6+9dydsywQhgmdx5qNrah1Xva2K1Qs92DYD9xMnCcFEHWBbr4Ubvl/EHQ9kUQ/CSXEixZGkKJNqXUEBQNUVrymWSABbkd6jbdPDX2OgRptTfPAxdSE4qog+htYE6ibPpD4QInOiAmwGEUAVS3a5HUowliy3QISnMpTcFOogEBGIkQ1dSm8OEBbOlsZF3GMYhAjqc0xqC3D1pTU4FvDV24rY3muKIp/SNq7+kwGHYzKsWt7AVZdU0TXVBwIaji6KgDPsGjgT+bY5d56+qGfj/v7Bcd/LcQM8k++EW31pt1Fc8eknNm83nt1FLj8y4iLgHNz3gKAGi9ax7uksrv2vQ/jQpVUYZmi0j0BBQC1ge6+J679XwB2/z6IOFdxpwJbgjsWuDKQyiHAZyMlaZV2+tKL1kTSOddPmzxDIWgxKUsKncPWoG1EAP14kN3UVINBiTEaR6vF+RVpLBw+TCb6Ko4ghnFueRAeTKGtISnQSnk/M+yMtL6A0lOQxzWGQyc1ClFN5fiayHhyL4cqLagAHrv9eATv2WoCp2EBDlmKC4apLqvjs1SOY1xnAJBY8z4LnOcJqhzxWmq139WLlp/cc2LVn0ZyecQPcGHdPAH//tduwfPV7BpctmLFkZODQuUNHDiOTseCZJgKDgPEAfYcIntlqoKOVY2FPAMOQCCGgDsGu/Sb+7rYi1j6QQwNUWEtI0hSYTDuTVhORGW/TRKRgGBJLaSK4SikGGq9DmwzLkN7NqPAliQaKvCxZdDSKLIzCauVsGOo+ovcNF6qtp9RdQTz45BslSaVolFlE0gevtoTz0FPlDSV/A0mdhGusQaVeUcZS8jeic6q0jCj9xKiyCcf82QE62jn+8KKJwUEqQgKFwR0WZfjA22u44WPDmNvlI3AtVKt5DI7kcXioiL7DGVTZYpQmXfKrsrXnVzNnLj0WyI5fgsu2cPZk9MzuvHHz5m2zhgcP/+WefUMIuIk+1xD16hxgz34TX7mtCIMC77+oDtMAGj7wh2csfG9tDr98IAOXEKUAYOxu1xbNRBhTEwMJb6XKt7XvCe6NeD0Z953k4U0UJLlNe8h6Ox62EimYmsSWr/RwXdJY+V3ycJkRE5kPRYdo/nggKrkQlvLWwmqJ+gZATIdYdCEikVm69NXkY0rDc4TSW8Sei0QKSgOwkH785cU1gAHfXZvFHzdZaPgElgG87+IavvHJYXRN8BE0pI2eotbIYmAoh4C0I5uZ8/PihDNvrAy+csz39ZgkOAB85zu3oGfB6saMaVPv2b93z3kOrU13Ax9gFTTqLlgQAJRheIBibz/FqrNcFAocP/lNFh/7ehFPv2TD00TkGAolVekK4tzKENimTGagunkwzpjnkWQ2ovHEo9DYSLKTWEpHpaDV/ZQo0p/EobVUSmNdYlNC4rfBeCQ4lDeFso1SfdCJdf34WMqTJumaJuUBVYrr+l5cSTjWkkni/FD2xzN6aJubIjLBxb1fMDvAey9wcXiQYPNWE3OnBrjhmhEs6vHBvDBZjQMDIwb2HSrilQPt4LT9se6eZe/r2/v8SOeMM08+wAHg39f+G77ypWu8s5bNvbps7+q+8rw9uOri/eg94GPbHhoJ4L19BCaAbbtNXP+DAvqHDLDoiUhznyKtqeLIUV3xIUAkuGNqotfJ1kyESt1yNdgqKhORoC0qPYnoQPRJIkDHwFKBRsJBkAJ4mg5wFWBNYCXN+9IGBh0V1ESjHXIbEEahRv3VEsU8yn+MBpxMFFWCcdTwhaiz7JI4r3zbkbByDyVAIQv82VIPIy7BBas9vPf8BhBAvCVM4P6nMvjkLe24e0MLTEzAmvOv2FZr2LfPX3zO8UD16I6e0drcOd2YO2fmhlUrTq91TShgxTzg6kuq4l8SdirMmsgARnBkmCBvxjczIniRBifjE4x4PaIpInHYCvdGtISq1hPFcpJ84NBjwBGBYwxlMynxlHOqJkBd2mnPO2V9bOKix5qkKJLhilokSI1NUX9xtMKdUI9VXfmaZzMOt429ls2ufbWYkO7uF8dwRuP4Q4VTMQ5UfILWoggV3HGQhrdQ8PIf35vDxpfaUBkuYNac02uTpszYMGnqzOOF6bFz8OhAu4RqrfY/p8w8j7+65blrf/HQq5nfri8AhgMELlYt8XDdx0ZwwXIX1AAmtjJ8/ttFMX2dJqqo/klVC0rCmUPVYCo91kQzDyapBzQh1OzEgZR6+naibh8DxE07SWqvMcFNJMJJ2k5o3BxQTIck7qZtU84XW1gU8yAQmgbVMICYy0vezqOALWlNAcDETBacsNDbGQKYURDKBcBJ+AkWza1DCIHrAzfdnsf312ZBDOB3/+nguo8PY/UiF/AMXLG6geH6IbSW59WvfNeaW0o5639lcvnjBvhxS3AAyGWzzKjfdf0Rd+JN//rwcveOR6bAcDJYfZqLG68ZwttX1eGYHBbhuOrSOs4/wwW8NHSENaU006CiVErOLRVLmkhcSLzmKVI8lMq6VrkKaWBP4Cy5fZRBo4HyWNCt/Ia6PQqBTXRXXfGRxObNbwA9y15PbwOAtGCrZDpbXEBIBl6lBWfFklu68+UiRzwBASzgP5628bN7MqKuuE9x3xMOvnRrCeues1Gp5fDOlRnc/Ml2d8XpbTf94/9dd30mlx8zWvBo7bg4uNr6Cn8dbDrY+aQRGO6MlqHzL181SD7z/gGcvaQmJESYj+SYwJyZAXbvN7Cj11SUSjNWJmXZNRhafHeUwJCgJUmwa5xcXagi5ak+KDRFMin9Q14eHyc5umqmi/l2dI5Q0Yz7koQiiqMuNGVwpnH0aJ9UAkOeDDLaAFffVKqpUB6scGwtTocnRnf8nSixCYRIb3VcE0dM5As8sCGDr36/iB0HTDGdeChpXjmYwTM7S+gbKIMH09nsmXOuv/DClm9dOG+gccNNd70mfB43RZHtn657N+699/4aWTLnTq/mfLWFHsSSbgtuwwAjDKYRl09etaiBT32AYOMmG4NVIxLcsRkwjhKU1ESCO56JIVGwBwnerC4kfjijgkk+bE1J0h8gAMRlDFKk/qjEW3whiT48jYqoTaUjSl+VgkTcO7Q3s/ArkdugSnOiHBO79VXzIAsTQ+LUtzAmXF4DKChnwinEwn+IIpxGhUZxLizMzBdJGSIohhgcRyoUt/2sgPUvZIRCRQGDMFg2g88pnt7aAq9qYkHPKn6wOu3ObevqtbPPuei1wvO1URTZ5s2Zjhndy15eelrPJ+YvPJNt2ERx9ddasfpvJuGn9+bgBgRBQAGP4OzFLt53QV0UrZMgSHgvCQl5N3Rwjx0xyNMlH1IAreCraZsCYowyAJJIHg2r42HhyWjBZD6m/FQVT3VHnMmDSKnTaUoy8yeZ7aNsYzHXZjyR7aMplaPFiofKJadRrUQAIBbwi4eyWPe8I4K6qYUMNfDBt9fx+Pf68eOv9GHFoipWrV7J2ib3fGLRgoUvF1u6cCLaa5bgANA9ez78yvOukVtxe73v4dz6bd03/+pxF6zGsGdvHZ7Lw+wRHwXbQ2ebH87klXDRhwE+yZIPai1vjV7I9RROHi98dLArKE++BZJgVnl50t4rX/Djh/U4WyjJiSbFw9gSJAKviBJmG/4DPDRhxP2b3wCECMkrHUiigpniqoesSx5W0RKzUoFCceVzEmfpG6EUBwGVr2gK9B42MOJagCGmcqSUYdqUYZw218S0dhMDlRye7a1/7m3nn3n7Qxu2BxeunH9CbuEJATgAmPklOHJkd1Bq+2/bFy94dvj8RQ8Vd+zvQ0drEZVKFpbpw3HqsC2Grqk+yu0Mg1Wi1xUkYuZcae82pW0bXCttLNfjWicx22nyYiYUzCbQJhVGhcc2KY9AZE9OKqbR15TtR2sywA7QzYURqBGHzoaI1CwkhCBeR0xlgLC4Dgei+oZyPxBJcADRFIWAHs8iwlB4dAwIV44XU4ZTAAgL7MfhswY4ZaCUYKDfwKt7TXjcAswMiJkBMQl6+wK8tLWBhjcNF5176fB7Jy7b3rvv1eDCleOPNTkqLk/YmQBQo4jDh/27Ljl/1ScrFXLLhicfbOtqI+gfrKOYq4IQDttxMac7wMyJDM/u0Gc/i8BNFWqC5rJreo0TPioFSd3exL/1WAsNmyrnRjOox4XhMTqpwNbXBWI5UsCvSnBFcgsToB6kJYEv94kBoAIduj09vFilFidEeiSJ3POUhUF+gJDaRAkOj3RNjoAYojgQpdi138DLOywEzAQxHZQdEx0Zjld2t+LpLSWcf975h0sdZ3+mVqvdVS4XTiQkTyzAS8U2AMCh/sGfvuPi1ea0ifTGw3sf6hiu7INl+shlGvAaFI9uMPHsdkekSVMxK4NBgQyNyxxHtATiQanhsLHZPIV3a/RDNxcmAatJ3wRoNcdOSj/ZWTsXacbzcREWxfY96qfGXXh0GE8Mjgj4JFZAY8UzjCaMXgo8ekEI2EqaI+zZkbSXIOcAEcEoURRsfJM5CDFRr5lY1uPhnBUuntxBwYiBksVRdnxMm9iC7rl/3tc95+wvua730wntE04kHMW1nvAzApjQXkbOCf5l5coVX57ZPa/P8014vpyfEag1TIA5gOGAUBM2JchRMaW2HRZWjG3eulIZu8+5akFPsaDwJlqSBHtEQ5T9yQ2pgwE6606avcc1dUmiHVXJTPaHKnn14wX1Dq9cUy6l1FYTkXWlVFM6FSVUm6IwUkTjQkFBOPdmwCj8QMzB6fsGvMACiIm8E8CkTBgPKIdtEixcuKBv+fKVXx4Y8v7FyZZOBhRPDsABwM6UsOWFh2+nZumLmULXYcZEKd7eAeDhFwqAkwU1LWQMgoLBkTM4HAoBcKpPDmUoc1dKcIsZGkaR3pQnwJ5QKpEGdlWKk4SkHoWPx7vFMakOnqOAPXGMSj+AZuCqbvsob5Mr1ILH0ji2vBCtb7qlJbaiaFWyeJysHM/UJpTQQHHZB+Hi+wLcnm/B8224noN6LYNzF/uY3laH5wvz4dxZnYfbWgtfvPPuB29vaz054AZOIsABYPEZl8Gkwz8pt3ZeU2qdPlyp1/GLh3J4YksbrGwGRZOibHHkTY6MIaS3RfX54zWXvALu0Zwjal1vFdRHA7tGX1K+y05Jfp48kbY6DkGu4puniWq1UxLsIImBoFxsUkpDBzcUAMuwWwalBEXCrNgkyWX5iWiOSwo/oPCZAc834Hom6q6NRsPBUCWHZXMsvPeCERTMGub1TB+e1d11Tf9A7ScfuuqKkwnBE8vB01pLqcHy2eLPBwYn+488vfjHP1jbnyk4eZQcwDEYTBI7o5tf9cngf6652ZvoCQGQNAsiMRAiGCQncW3m6aMpk03xKskDcFS5rbWksqnFkBAFzJJbh9GCo/ZPmBdjcPPYXk54PFBCbTTKzwz1Rs6VkyN0BiFMXVPfkpG5UXmO4f/kGSZc34Lnm/jwOweQb5tQH6hM+rBH2++oNyqvyQ0/nnZSJTgATJ793/H7pw8GU6Zad2w/OO/qpQsX1TvzHiZkA5QdhrzNkbW5iFkx4lhumgC3xsFTJPdooG7yLJP4My3oKgJ+UulMxIwQ/ZAmnn6MzCTensKpRzsgWXwz+QNNlhJAkeyIwZ7k6bJfItpQcwKxFOdQyL89z0TDtVBrWKhUHQyNZHGgvwArs7J++TlTrjZbC3csW/hq8PUvvP9kw++1x6KMp/38Z/eAdXyQj0w+e/Pc/OCWco6+c+jIEcs2RYyKZYj4DXnDJUBV02DSudOU1qX0I9BjwJMDQ035arKbU5IYODIWHFqsSeSfkmZGoiQzJFLWtJhy0hwPLgdZWtF9dUBG8drJN5KqTKtOq3CjjD+B1i9WhkX/WBI0u63C9XBwpO8XwPcDCtcz0fDM8NNA3aUwM3OqsLs/tGj5lDsWFAfZytUffj2g9/oAHAAevX8tPnDRamzfvfOl+bOn7TQNctHIyHDGNjksQ0gJLxBVjGSBcy0UVn2YiYcs9iUncm3+VJMHtP20GVixOZJox8lt0W8rSQ56gFUMcB2w6cFWqeAda1H6As3nVd9cqtUo6ov496CuJzxVGpTV1x1XfzsWLH5goNYwUa3ZqDeE4pnJTx/M5Kd9bN8re35eq5Qw5/QPvl6we/0ADgD33v0rXHXVh2A6rS9MmNC2d9aMSWu4V8nxoIaAUxwcJmgE4q7JyVplcoOWNJzyoDXAIgFqmpT0zWlfUspqbwmq9JVAVvrFKWuIko01qU9IQponJDOagavqA82fiWKg0O8D5EBR+yr9VIyqAFdBHOkhJAlxEllkIqtNeLxBAdNgMM0AJuU4dCSHvsMmiNmGGbNP6580qeMzLWX73wLksWz1X72ekDv5Smayfe6avwYADAwc+Ylpmubj69Z/c93jj3RUa/0YRA2bdufQ4hDYhpxYNn5oatO4NmKFB9ABrzpfxGrysennHKtp4FAkpCoBtd852gmhcO4xuquue1XxJECsTZL4fEQ9N5G5jnKCPgISJinLyrMykpDI30HYN3aFRp8R1ScEskoZB2AYAYr5Kl7cY2DjS2WUSy1YuGxN3/zTzvrbIPB/Uii2nGAkja+97gCXrbW1BdVq9Ufnrfkz0lI0vxEM/qaj3LILz26aAt/Jw6BC6TSN+ManKlOIgQwklD8oYCSJbRgbf7HLXD//WAeSo5519Ja0fEjxyHmc6qfFnWixKvq6dhlqCAvie0mkJzPsLGuqyKnapUc0Pg1RFFeinIuEyd0cxfwIfrWugB07C/j8R87tW7x01ZfB8aNC8cS634+lnTKAA0Aul0OjXrt96dIz/IN7qze/+uBwKzc4TMKRsTiylpDgctrmgJMmgGvSOaGUJSV40oqStJUDzWCOpHai5Jh2zlH+v+OBOleXRCCVfuI4vkQeR2RAFYmPjSV1CFkSjx+p1EdAZgSc8vgn1C+KoyhgBEEglEqDigjQbCA8mpeeXcbIqgsHzjjjjC8EPvtxoXD86WYnop1SgAOAk8mi3qj/1CqvOOw7O2f/1RXZm558bKNVdAjyGRFI3/A4Gl6isKdsih091TWvfU+HXJrzR24HYsmsSX5pPVEUt+iY6FyjvysiqQsFdFqAVLgvYdtWt0XYV+zdkrbIiED1f+IIS7RJUKtSHfH8m4SQSIar91leOGMUrmeg4YqpSOoNAkpMTJx2iff2s2tfNFqWbic0czehzuuAoLHbKQc4AGScDHtow9a7rv3o1fbLmzZX508yv7vpxecJ4S71Ao6BYYZqA/AVgFNVstAEOFOsDqqJLAm3JkdLSiNjfKqWDLGNpB6r/yiUgaCCM6YqES9XaMuoUj3teknTz2kpoJzHdERNSVNpkegcztABkVHIGEfDM9A/aKHuAa2lHOvsXsm53f0ps737Xxsj+9xMseMEoeO1tTcEwAHgghVz8cyzL7kLZ038qY36w215/31e/dD/3tPbi52HgEMVApsiTIGLiytFgf4KeNWqVUBCeiesCGlNBW3iJOJrwjKhbQv/pFKfsEUgldeuHCclcqTXQZlQKurEE+BVodvcZPeYfKgcW07lR8KYcMUTLBV4Ii1NDKbBkM820PBcrH8lj5bWTkwqTvq7YuvsX8LseuXA3oo7ufO01xk9o7eT7sk8lrb09IWYN7e7ZmNoaw0rvnnWsmk3vOeS6cFla4ZQpzWMuDK6DZrHTTbNLKasq86VuPOxX5/m4NB+R6Unup0mAnYyqCqxLRkAFUUFIuW4tO2j4zv1JJLnM+U7T/tNAqhTRmZsDz4bwL3P+BjGrCBfnnbD5Rcv/+azLx7a2t4xoza5c96x39iT2N4wElxtF7/9cmx59o5g3un/5bpG7ZC5ZOHaz209uMVZvzEAFTMixRkpJBGTQpJOnmYT3rGAO9mfKOJd90oqobfJkZQmvaGASZGwRDUFpvBvSWFGi8saT+OqvZFwMEZE1o60poQXRMNgNxKSfD8g8HwL2w5OBi1e2PjS1W/7h2lT266j5lp84sNXHufVnNx2fDat16kF3iCoWQG49Y1HNu5e/b1/vpsODtVX79572DQME6YhCjhaRhzHYsgqsYCiCOq263CXPhio7gDSHD+Rm1643Y2oxIRSg7CpRJt8xZOYPjXta9YV9OsJK3gpVXLF/ydrLvKoOq4RVcyV5TF4lKsqfofr1Cq6J8pxlIvQZCpCmy1LUBJKAgQBAzEn+pzknpjacyljztwnGp7/5XIui4ntp84MeLT2hga42m794a/h2Gbx8JHKPz23aff7t+zcSw8P1tFWMJC3OSxTVL6KHUPN0YLaPz4GwGOQNwPcoAqwKYGR9FbK84Q/0mTZSfNkjnY9qic3BLMKcEMCXS0omgJwGYmZCoBQi5XHGgaHaXBYJkMu4yKXqYChCDvbxXKl2b8wrOJHOfOGu+b8xamGxLjamwbgAPDMizuRy2Un7Nrd++k77tu4eOe+wXfv37UDrTkKy6SwTMAw0pMTtFBOKHSGKtIyAXASAVoHuGEIUBvKdi3QCtDAHd1oKdGhA1uV8KkS3IiTPgxDB7gRxsinAZxKCU51k5+WMKGYgwiEEm9bDAQBMnYV3d2TEZCOO3Nt575QKk/9tu/XDuXLc041FMbd3lQAl239C3tQLBVmvPDcllv27dny7j8+9wK27x5CKWci69Bw6ry4f8TXFQVVgsjQ4lxIsyRVaQklIdiIWAwSA1w7XlcwVV6eVFS1fSkAj2JyDA7DCN9ShiLBpbQm6QCXEp+Ephl5D6JZHqL7I0JeLdNH1q6i4pXROW0J5s+feWfLpNmf4W51N3XmnupHf8ztTQlwADiw/xAMw+oZ6N9+2r7+6qcfeWLLmv2vvIy+/kH4gRFZB6RkZEzY0X0mTG6UCElshhKSplAHlWebCqijJdwW83WiSWTtLktzYIrBvYmuJPi3CGYS0tU0ENEISV3iePgY6JJLGyaHSVk49QhE1o1PEHAScXPhnQQqVQZqFnD6km44pTmPuEHrtxcv6H7O9fxt+ULLqX7kx9XekFaU8bRJkycAwDbO+bYe4IUjg/6USy9Y9IPHn3yp54kNzxqVqgfOCSyLwDIJgoDD9TlcT2DNNEJeGlIKWRQeiKV/XIE1zExX6IUWqUgTYbFpFzyGKFHTzgiBmOhJHWhct5rEdEZybB6ax4UVhISzNlAI055pcpgGi9zsrm8gCAgsk8M0GRjjYNzGrDmLglzL3G3lsvuxWfPO3Qdg6/EkUL+R2psW4LKFD2Cr1ziy1feDSxq+1blqxRlr//23D5deevnVPEEVpbwJ3+c4NMzQP8Jhm0De5iHIJeXQaQzjXCRhQEhGTmlkxiOQ1EXEYiTpjUaPUjNx9I2quVA6ibhCc1jinISoFCu2jgRcmPykE0dae2yLIed4sMwAhwYd9PbZ8H2K1qKLCW02nPz0yvTZ5w35gXellevqJZTufrMDO7pXp/oCTmQLgUMrIyPlJ5/ZvioI2A/37tnmDx7e1cbc/qJPDuHHD3IMHsmhswy05jnyWYqMJbg1Y4Dr8zDzW5xTUAPxFrBNGr4RxKdpUFgmiWiMvJkq14+vTbnGyEsZf8rCmLLRkP6YYcaTZQG2yWFbgGMxWCaHZQjpLCmY6xO4HkXACAyDI2szFHMeWkoNTCgPoX+4ip/9fiJM3oLpnROGVyyfdXjB/JkmB/1Ipjh/fT6fG+QMjBpvHVi8oTyZr7WFGTTslQPDA9OmTb2vtbU09+bbfjn7yivf97U15yx/8T3ndzzz8StYPZuxUPdEXWfHBHIZimLeRDZjIGBA3RWL5wveHjAecnoBQKl0miYJwS9qSgp+HM/cluqqV8ENRQFmHEHA4QcMvq8uIpJSTMcYJ12YhqAXtsWQsQNknAAGBap1iuEKRaVKUG8Q+AFgUh/5PPDrpzrqL++f/kzP3GUvvuuKK7+27blfz3YypbmtbVPus43+AULIWwrc8na/pdvBA6+AUpP07ngc1Bo2qn7hu/esJ3P37nr1HL+y38g5PnIOQc5hMAyGdS82cHiIwjE5MhZgWwSOBTg2QcamyDoUGcdAxjbg2CQCtlTiAiYGRhDEklxtjHHNAyklvQQ2k0pwqNBaJoVjU2RtIJsBsg5D1mHI2AyOzeDYATJWAMf20T8EPPx0HiwgaG+x0VKi6JxkYM6sUtDZNeGxRze3bN2zt/4JUqfB5e84B57n81ndM071Izqp7U3PwY/WJk6aBsQC09/fd+Sj1853Wg/2Hfr6/fc/aB8+tDfoaM8vby+zMyYUNuHJHX3Ytq0DU8sWylkpsQmMQM4KHEtvQReEk8mgCEN7CYJAVIdmTPFSQqEpoRIpLSVBIPZ5PoPrhTW1KWCZ4qQ0/M4hvYwclsVhmwEcy0Mx30BL4TC27avh+T3zsHLhdBRbrKcNo/GHcnunMW3eGrdYavvKJRPcAdsR5fU+caofzOvU3vIAT7bJHS0AMADgbwDgqQ2PgYOsyViNt01uK1z5ruHavNLEDF56cQccp4G6V0fD9eE5BCa1UciKEAHHArIOR8bmsC3BhwkBXI+i3iBwXR5aaygsSwyAIBAcPwi4GDQmhRm+AVwPGKoweB4DIYL3+xYHZ2IyV9uiEPNVMhi0AYv6Qi+wbRSLHG2TV2CG5+Dc2tQtp82ctLa1bN/PGH/kvPPWnOpbfkrbW56ijLdVq3tBgEt27sXs3QeG2NduvYOd1dPSPXlS+9/u2LUHhYyJwYGDIGwEE9sstBYJSgWKXJbBsRhsk6G11MBIPcBDT+UwOGQg41DksiaKOYJCjsPzGfbsC+B5QC5noJAzUMiKgXJkxMNDz9RRqQBteQjwWgQZG7BNoFwwMbGNYPaMIjqntsEyG2ib0IVapf+bBXvnzqlzP0hhtdPBYWc7gPs62ief6lv6hmj/30nw0VouNxUA7pPr23YfRDbrtOzcve8J2zbgWNSb1L7g2qxDLy5kCRwrwMHep2HRI7BNAsOgsJwa/nODh5d21ME5RSlH0TnRAYWB9pILn1fw6PMU3LPQ1WEi51go5wOU8x46WgJwu477nywjICYo4XAZ0FEu4sI1Z6KQs1DMGyjm8UDGHL6ZEs+aOHUhCuWpjwR+44jpTD3Vt/AN2f4E8FFaz4yJAHAEwG8A4NXefQCwGZxNskzCABfVwc2gwRBMEzAIQcBdb8LkC6+/rKtx2f4h1wtcgllTbJQLFJPbXTBjGAv6LZjMwaQWglLBxOwuF3W3hlqjbL37dOu3d6/fcL1h5ixiCCtPPl/E6UsWIZO1YZuU2jY9AI6drX+S0ONqf6IoJ7D99nePAyCTHHqgvL2vzmvDFLOmmMjnKCaUXXBjBA/90YLFHbQXCfJZA7M6GxgYqeLIyERy5pKJg4zhQNesVaf6X3nLtP8Hfw5v37pSTtQAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMjA6NTg6MDArMDA6MDDADg2CAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDIwOjU4OjAwKzAwOjAwsVO1PgAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 59642095
{'hecke_orbit_code': 63050394816746164, 'n': 1, 'trace_an': 3}
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id: 59642096
{'hecke_orbit_code': 63050394816746164, 'n': 2, 'trace_an': 0}
-
id: 59642097
{'hecke_orbit_code': 63050394816746164, 'n': 3, 'trace_an': 0}
-
id: 59642098
{'hecke_orbit_code': 63050394816746164, 'n': 4, 'trace_an': 0}
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id: 59642099
{'hecke_orbit_code': 63050394816746164, 'n': 5, 'trace_an': -2}
-
id: 59642100
{'hecke_orbit_code': 63050394816746164, 'n': 6, 'trace_an': 0}
-
id: 59642101
{'hecke_orbit_code': 63050394816746164, 'n': 7, 'trace_an': -3}
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id: 59642102
{'hecke_orbit_code': 63050394816746164, 'n': 8, 'trace_an': 0}
-
id: 59642103
{'hecke_orbit_code': 63050394816746164, 'n': 9, 'trace_an': 0}
-
id: 59642104
{'hecke_orbit_code': 63050394816746164, 'n': 10, 'trace_an': 0}
-
id: 59642105
{'hecke_orbit_code': 63050394816746164, 'n': 11, 'trace_an': 3}
-
id: 59642106
{'hecke_orbit_code': 63050394816746164, 'n': 12, 'trace_an': 0}
-
id: 59642107
{'hecke_orbit_code': 63050394816746164, 'n': 13, 'trace_an': 8}
-
id: 59642108
{'hecke_orbit_code': 63050394816746164, 'n': 14, 'trace_an': 0}
-
id: 59642109
{'hecke_orbit_code': 63050394816746164, 'n': 15, 'trace_an': 0}
-
id: 59642110
{'hecke_orbit_code': 63050394816746164, 'n': 16, 'trace_an': 0}
-
id: 59642111
{'hecke_orbit_code': 63050394816746164, 'n': 17, 'trace_an': -9}
-
id: 59642112
{'hecke_orbit_code': 63050394816746164, 'n': 18, 'trace_an': 0}
-
id: 59642113
{'hecke_orbit_code': 63050394816746164, 'n': 19, 'trace_an': -3}
-
id: 59642114
{'hecke_orbit_code': 63050394816746164, 'n': 20, 'trace_an': 0}
-
id: 59642115
{'hecke_orbit_code': 63050394816746164, 'n': 21, 'trace_an': 0}
-
id: 59642116
{'hecke_orbit_code': 63050394816746164, 'n': 22, 'trace_an': 0}
-
id: 59642117
{'hecke_orbit_code': 63050394816746164, 'n': 23, 'trace_an': -4}
-
id: 59642118
{'hecke_orbit_code': 63050394816746164, 'n': 24, 'trace_an': 0}
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