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mf_newforms • Show schema
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{'Nk2': 18432, 'analytic_conductor': 36.795065251406, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 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': [4608, 1, [3583, 2053, 4097], [1, 1, 1]], 'cm_discs': [-24], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 4, 'field_disc': 2304, 'field_disc_factorization': [[2, 8], [3, 2]], 'field_poly': [1, 0, -4, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 24, 'fricke_eigenval': 1, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [-2, 4, 1]], [7, [100, 0, -28, 0, 1]], [11, [-12, 0, 1]], [17, [0, 1]], [23, [0, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81064793326227968, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 24, 8, -1, 2, -24], [1, 1, 4, 2, -1, 2, 0], [1, 1, 24, 6, 1, 2, 0]], 'is_cm': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '4608.2.a.s', 'level': 4608, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'minimal_twist': '4608.2.a.s', 'nf_label': '4.4.2304.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-2-\\beta _{2})q^{5}+(\\beta _{1}+\\beta _{3})q^{7}-\\beta _{3}q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.1.d1', 'self_twist_discs': [-24], 'self_twist_type': 1, 'space_label': '4608.2.a', 'trace_display': [0, 0, -8, 0], 'trace_hash': 77871843849544254, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_cc • Show schema
Hide schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1]], 22, 10], [[[2, 1], [3, -1]], 26, 11], [[[2, -1], [3, 1]], 16, 4], [[[2, 1], [3, 1]], 16, 4]], 'ALdims': [16, 26, 16, 22], 'Nk2': 18432, 'analytic_conductor': 36.795065251406, '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': [4608, 1, [3583, 2053, 4097], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 705, 'dim': 80, 'eis_dim': 127, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 17, 23], 'hecke_orbit_code': 33559040, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], 'label': '4608.2.a', 'level': 4608, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 832, 'mf_new_dim': 80, 'num_forms': 29, 'plus_dim': 38, 'prim_orbit_index': 1, 'relative_dim': 80, 'sturm_bound': 1536, 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mf_twists_cc • Show schema
Hide schema
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id: 48184868
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326227968, 'source_is_minimal': True, 'source_label': '4608.2.a.s.1.2', 'source_level': 4608, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 81064793326227968, 'target_is_minimal': True, 'target_label': '4608.2.a.s.1.2', 'target_level': 4608, 'twist_class_label': '4608.2.a.s.1.1', 'twist_class_level': 4608, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48184869
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326227968, 'source_is_minimal': True, 'source_label': '4608.2.a.s.1.2', 'source_level': 4608, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 126100789599932928, 'target_is_minimal': True, 'target_label': '4608.2.a.bc.1.4', 'target_level': 4608, 'twist_class_label': '4608.2.a.s.1.1', 'twist_class_level': 4608, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48184870
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326227968, 'source_is_minimal': True, 'source_label': '4608.2.a.s.1.2', 'source_level': 4608, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81064793326227968, 'target_is_minimal': True, 'target_label': '4608.2.a.s.1.1', 'target_level': 4608, 'twist_class_label': '4608.2.a.s.1.1', 'twist_class_level': 4608, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48184871
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326227968, 'source_is_minimal': True, 'source_label': '4608.2.a.s.1.2', 'source_level': 4608, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 126100789599932928, 'target_is_minimal': True, 'target_label': '4608.2.a.bc.1.3', 'target_level': 4608, 'twist_class_label': '4608.2.a.s.1.1', 'twist_class_level': 4608, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48184872
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326227968, 'source_is_minimal': True, 'source_label': '4608.2.a.s.1.2', 'source_level': 4608, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 126100789599932928, 'target_is_minimal': True, 'target_label': '4608.2.a.bc.1.4', 'target_level': 4608, 'twist_class_label': '4608.2.a.s.1.1', 'twist_class_level': 4608, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48184873
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326227968, 'source_is_minimal': True, 'source_label': '4608.2.a.s.1.2', 'source_level': 4608, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 126100789599932928, 'target_is_minimal': True, 'target_label': '4608.2.a.bc.1.3', 'target_level': 4608, 'twist_class_label': '4608.2.a.s.1.1', 'twist_class_level': 4608, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48184874
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326227968, 'source_is_minimal': True, 'source_label': '4608.2.a.s.1.2', 'source_level': 4608, 'target_conrey_index': 2305, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 72057800229917184, 'target_is_minimal': False, 'target_label': '4608.2.d.q.2305.8', 'target_level': 4608, 'twist_class_label': '4608.2.a.s.1.1', 'twist_class_level': 4608, 'twisting_char_label': '16.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48184875
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326227968, 'source_is_minimal': True, 'source_label': '4608.2.a.s.1.2', 'source_level': 4608, 'target_conrey_index': 2305, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057800229917184, 'target_is_minimal': False, 'target_label': '4608.2.d.q.2305.1', 'target_level': 4608, 'twist_class_label': '4608.2.a.s.1.1', 'twist_class_level': 4608, 'twisting_char_label': '16.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48184876
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326227968, 'source_is_minimal': True, 'source_label': '4608.2.a.s.1.2', 'source_level': 4608, 'target_conrey_index': 2305, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 72057800229917184, 'target_is_minimal': False, 'target_label': '4608.2.d.q.2305.2', 'target_level': 4608, 'twist_class_label': '4608.2.a.s.1.1', 'twist_class_level': 4608, 'twisting_char_label': '16.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48184877
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326227968, 'source_is_minimal': True, 'source_label': '4608.2.a.s.1.2', 'source_level': 4608, 'target_conrey_index': 2305, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 72057800229917184, 'target_is_minimal': False, 'target_label': '4608.2.d.q.2305.7', 'target_level': 4608, 'twist_class_label': '4608.2.a.s.1.1', 'twist_class_level': 4608, 'twisting_char_label': '16.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 48184878
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326227968, 'source_is_minimal': True, 'source_label': '4608.2.a.s.1.2', 'source_level': 4608, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 81064793326227968, 'target_is_minimal': True, 'target_label': '4608.2.a.s.1.2', 'target_level': 4608, 'twist_class_label': '4608.2.a.s.1.1', 'twist_class_level': 4608, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48184879
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326227968, 'source_is_minimal': True, 'source_label': '4608.2.a.s.1.2', 'source_level': 4608, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81064793326227968, 'target_is_minimal': True, 'target_label': '4608.2.a.s.1.1', 'target_level': 4608, 'twist_class_label': '4608.2.a.s.1.1', 'twist_class_level': 4608, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48184880
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326227968, 'source_is_minimal': True, 'source_label': '4608.2.a.s.1.2', 'source_level': 4608, 'target_conrey_index': 2305, 'target_dim': 8, 'target_embedding_index': 7, 'target_hecke_orbit_code': 72057800229917184, 'target_is_minimal': False, 'target_label': '4608.2.d.q.2305.7', 'target_level': 4608, 'twist_class_label': '4608.2.a.s.1.1', 'twist_class_level': 4608, 'twisting_char_label': '48.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48184881
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326227968, 'source_is_minimal': True, 'source_label': '4608.2.a.s.1.2', 'source_level': 4608, 'target_conrey_index': 2305, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 72057800229917184, 'target_is_minimal': False, 'target_label': '4608.2.d.q.2305.8', 'target_level': 4608, 'twist_class_label': '4608.2.a.s.1.1', 'twist_class_level': 4608, 'twisting_char_label': '48.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48184882
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326227968, 'source_is_minimal': True, 'source_label': '4608.2.a.s.1.2', 'source_level': 4608, 'target_conrey_index': 2305, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057800229917184, 'target_is_minimal': False, 'target_label': '4608.2.d.q.2305.1', 'target_level': 4608, 'twist_class_label': '4608.2.a.s.1.1', 'twist_class_level': 4608, 'twisting_char_label': '48.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 48184883
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 2, 'source_hecke_orbit_code': 81064793326227968, 'source_is_minimal': True, 'source_label': '4608.2.a.s.1.2', 'source_level': 4608, 'target_conrey_index': 2305, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 72057800229917184, 'target_is_minimal': False, 'target_label': '4608.2.d.q.2305.2', 'target_level': 4608, 'twist_class_label': '4608.2.a.s.1.1', 'twist_class_level': 4608, 'twisting_char_label': '48.35', 'twisting_conrey_index': 35, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3650125
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 81064793326227968, 'p': 2}
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id: 3650126
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 81064793326227968, 'p': 3}
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id: 3650127
{'charpoly_factorization': [[[-2, 4, 1], 2]], 'hecke_orbit_code': 81064793326227968, 'p': 5}
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id: 3650128
{'charpoly_factorization': [[[100, 0, -28, 0, 1], 1]], 'hecke_orbit_code': 81064793326227968, 'p': 7}
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id: 3650129
{'charpoly_factorization': [[[-12, 0, 1], 2]], 'hecke_orbit_code': 81064793326227968, 'p': 11}
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id: 3650130
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 81064793326227968, 'p': 13}
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id: 3650131
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 81064793326227968, 'p': 17}
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id: 3650132
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 81064793326227968, 'p': 19}
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id: 3650133
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 81064793326227968, 'p': 23}
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id: 3650134
{'charpoly_factorization': [[[-50, 4, 1], 2]], 'hecke_orbit_code': 81064793326227968, 'p': 29}
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id: 3650135
{'charpoly_factorization': [[[1444, 0, -124, 0, 1], 1]], 'hecke_orbit_code': 81064793326227968, 'p': 31}
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id: 3650136
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 81064793326227968, 'p': 37}
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id: 3650137
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 81064793326227968, 'p': 41}
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id: 3650138
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 81064793326227968, 'p': 43}
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id: 3650139
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 81064793326227968, 'p': 47}
-
id: 3650140
{'charpoly_factorization': [[[94, 20, 1], 2]], 'hecke_orbit_code': 81064793326227968, 'p': 53}
-
id: 3650141
{'charpoly_factorization': [[[-128, 0, 1], 2]], 'hecke_orbit_code': 81064793326227968, 'p': 59}
-
id: 3650142
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 81064793326227968, 'p': 61}
-
id: 3650143
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 81064793326227968, 'p': 67}
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id: 3650144
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 81064793326227968, 'p': 71}
-
id: 3650145
{'charpoly_factorization': [[[-96, 0, 1], 2]], 'hecke_orbit_code': 81064793326227968, 'p': 73}
-
id: 3650146
{'charpoly_factorization': [[[3364, 0, -316, 0, 1], 1]], 'hecke_orbit_code': 81064793326227968, 'p': 79}
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id: 3650147
{'charpoly_factorization': [[[-300, 0, 1], 2]], 'hecke_orbit_code': 81064793326227968, 'p': 83}
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id: 3650148
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 81064793326227968, 'p': 89}
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id: 3650149
{'charpoly_factorization': [[[2, 1], 4]], 'hecke_orbit_code': 81064793326227968, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 19, 'label': '4608.2.a.s', 'level': 4608, 'portrait': 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YSldkC7LxjEHss9wYYJw2LLcPSMouL5bJiGLXMh62cGrJsZsmFmyJb1lm0bFBdt9aiqOoeONrnvKZ9H9sY8cSQiUR2+9SUt3nyDpapm2HtkkkMnNSfOJpxOwb1/wXLNJfP8t3css3V2gpNnJzm7XGGx5bHUkqx0EtrdhO4A9h1ZZN+x9kWP7Tn90oNHT+04fOLM56+76c3h3bd+4vmGxNf1+GfN4MsrLeLQIhW/eucj+2541299WH7nS4/e8BPfcULPL21kcaXJYqvGYstnsaVZbMFSK2GpFbG4knB6BQ4sCuZmV/jF713khbtqHDszzcmzdU4uaM4sWk4vxByfTzjbiZmcHvDiy7q86ELwZZVABZxZqnBqQXN6SdAbQhwbKr6hXkmYmogxwJHTMe0ubF/vUa8OsVaA8On2Dds2DFlc0WCdFFnpwjAGi2WpFbJ5nUenrxDKIsyQZsVj28YBKz3BkZOaxGhmmpJGRRB4EMeC3lByeklyatFyZjkmCAbgxVx3cZcbLhHMNassLjc5dibg5AKcWYg5sxRzYgkOLFquvniBX/reZTZMNjl6eprTi1Xml30WWpKllYTldsRyO2GpY1joSI61YWVxhd/9/w3i7/sW7x4mftyo6iX3COzPWhSVavP5hspzPv7ZMvgfvf/jvOyGq/iJn/rJX/nYp277iff9zW3nPXWks2P/iZ684dIe5240JEZjrcJax95YCUhAIIRFC4sv4eRilQf2Sy7bucSFWwfUKuBpie8pfF9Tr0pqnqTX9dhzuMIXH/E5cnZIO47Yc2zI+pkl3vDiZS47r8PVF7Y4vBCz0BPUggEHT1pa7TqXnitZGSTsPqxo1DRPH4HzN1kGYcIg8dE6YqoBzx4LUDrBkzHag/5Q8sILe/R7ksvOS2j3E46cbHDOBkW9FrIytKyb7LHcbfPR2+CxQwlPHBqwfdMil1/QZmo65PXXdfiOl1l2bmiQRJMcOjHBgeMex04bjp+NOH424cBZwdGViBfsmucXv7fD+slJjp2e5sxijfkVn8WWZLmV0OpErHQTlruWpa7gTE+x3I655qIF3vltCzJQcseJ4yfO6XSSaxuT26u1+tSXdj/6cf7gjz/6fENmzcc/Swb/6Mf+jle9eLv6y0/t/n8OHTn9c08/e1idWY6Y72tO9gyXbT/Db//oPFfsrHFmcYrFVo2lVoWllsdSW7PcgeVWwnI7ZqkTs9CCY8sCXR1w/SVLfOfLQs5ZV2el2+TsUpX5JZ+FlmCp5STCcsfQ7hvaQ0tvEDPTjNi23gCCwLMcP+shZMD2dYpzNlk2retxZnnI4/saXHW+pVZd5qn90zTqIWHoMTNl6A/gom0D/vq2SS7YGjMcWmYnJFHSp1EJePrwgKpX54pdMU8cDDmz6LN5JuCcjbBtQ4hSEccXwPcsQli2r4+Zakg6/YBuz6Pd81hqK5ZWYLFlWGolLLQSTrdgcZCwbXOX73z5AtdfqKl4TU4tNFlYrrCwollqC5ZbhpVOxHInYaVrWezC6Y7izErMCy84zbt/dJHzN9dYaE2wtFKlN2xSnzgn8WsbfuXp45f90raZg8mNr/y25xs6qx7/rAC+b98egqBSPXP6xLbHnnjmbXv3n/jlp/ccI4wlvRBWeo5RTnZirj73NL/5o0tcfm6Vs8tTLK7UWG5XWGp7LLc1y21odQwrnZjlTsxS23KmJTjZtSC6vPklLV7/QsO5GyuEYY3lVoWVrk+ro1juCjo9wWBoCWNLkoCSlsCDamCZbFrWTUdob8CBUyFP7g8wcZ3XXhuivRUe3j3Bjo3w2QdiXnJpwNlWn4pWxEnE9BTEkYf2YhYXa7z4yjafvbfBORvhoX1DPGq85oWGWPR58kDCoeMVtPRZP6WZqguqgcD3BUpAbCCMLIMQOj3LStfQ6RlWeobFrqWfJGzf0uP1L2rx5htCMA0WVyY4u1R1erutWW7BSieh1Y1ZScG91INTbcV8O+HqXWd494+e5eLtVeaXJ1np1Gh1A7o9TbsrkMEWVLDh57dsu+Bvt23bcnQwGPR37brg+YZS/vhnA/D9+/czO7fO379/7/cfOrD/PU888YQ4u9iRnV5Cd2DoDiydPqz0JWf7klOdiBeed5Zf/6FFrjyvwsLKJIsrdZbbASsdn+WOZqUjaHUsrW7CSiem1TUsdy1nO4JTLcPUZI9XXd3hugtjtq9XNKse7U6FwJOAIowlxgiMhd4AEIapxoB9JyzGhtz6UJ1hr8p5m32uv6xHZFa445FJrjjfY9/pLq3lJi+6rMeXHg5YP23ZfcTy79/UZvfhgPXTki8+orj+IsVSr83BY9NcsSvkjif7xMMa113ss3PrgH7c5QsPK0gEB45rmjWNFtDrS4wVJMYSxYA0aN/Q6lrqjYitG4fccFGPV10VM1OvcGZpgsWVKsttd26W24JWF1qdmFY3ptVNaPUsSz3J6Y5goRNz7QXz/MoPzXP5ORXmVyZY6dRodwPaPY9OT9PpOyIZxhVz0cWX2vPOO/+d5517/p/PL5wNd553/vMNKeCfCcDjJJLRsP+Gh+//7HnzS8m773/gIc9awTCCXj+mNyiDXNDqC872JSdbMddddJZf/aF5rtrps9KeYH65QatbYaXjs9LVtDqKVg86XUu7Fzt3oG9o9SzzXcF8F6JkyOXn99kwndDtWV73oiE7NhjiRKKlJYzg9scrHD1bYeNUzFMHKmBqXLhFceUFhqDS4+F9PeYX6lyyo05zcpl7n/C45vwKi70VlpebbNhgeWC34l+/osuDuzVb1nksdFssL01z5UU97n0qYbo6ySXndTnbavHAM5NUdZ2rL7Ds2jYA2eXxQ4J10xFn5iPueNxjECmkhMRYdmwMedWLQjpdxaYpw5XnQxjWWGrVWGoFrHQ92j1Fqytpd6Hdc05Jp5fQ7hlWepalvuREW9DqD7l+1zy/9IPLXH2+uzlanSrtXkCn59Hpazo9Racv6fYF3UFCFBmuuOLqqB+Kn37rt/+r/fV69dO+75nnG1vPeyYziduYpPu9Z0889NvL83unTxxbYaqpGIYuULRGYfO/7SxAISxSWqTUPLh3PT/7fs2brl/i7a9Y4pzNIacXmwR+lWrgUws86lVNpypp9D0m6trdMP2E9UNDf2jpDAKW5iscP2YJY8OJ0zFBYAGBryxaCnp9hcAj7mlesEOwc5Nl2+Yew6TD5x5UPLt/ildfFXDlRct86HMWX9TYsbnHE/cqNk8qZps9KqpKGHmc7UC9otmyXvDYsyFX7qrysisW+OAtfXyvwSuvtXhBjy8/EPLZ++s8c6jKuZtq7NiYMDcVcs5sxKU7EpQyaGUBSy0ImJsMCCOPTs/nqX0e3YGm11d0B5JuH7oDS7fnvnunn9DtW9p9y0of5nuKM8uW2kSLH3/tPN92/ZDLz61zaqFJq1uhk4Nb0U3/m/2hoB86AhgMDbfd8YDnVaZ+e2LqgaVX3Xjtf1lu9T44NVF7XvH1vAJ8MOgRxeIHTxy851eP7b91Ouz1qFcDQKGkACEABcItNUKAFK6TRkmLkgm+lDyxb45H99bZd/Isb7qhyw0XD5hsNFlq1ai3KzT7Pt2edhdnIOkPNL2hZjC0DEJDGFmiyBIn7ghjH2tAKoGnBRVfMNkQTDVgw6xhy/oes1MtPv8w3PmohzQTvPoqjxdc2OHuZyLCQZPrXyBo9fucXaxz3S7D7GSPqg4YxIr5doQyghfs0tQaQx7ZU+GlV07woss7PLJHgZ3gqot9fuBbl/jSYyFffLDO7qMVts0pNkxXmWrUmGhANQBPW5QEY2H3IUGSCKJYEMYwjHDfcZjQHxoGQ0NvYOgNDd0+tIcw35Wc7cDQDLjpiiXecEOL736lIY6bnF6o0+5W6PR9un2Pbl/R6St6A0FvIOgPLYOBoT9MGISGbi9h6dQpjp/5/DSY//Vt3/JS3ev13l+rPX8gf94APhwsIWXyAycO3f2rR/d9aV04bBP4HrExWCsctoVEIBBCIYRASlJwg1IWrSyeMlQ9wUKvykdu28KXH23zkktXeMdNK1x6TpeZyRqLKzU6/YBe30uBrdwRCoaRJIoFceyWepsuF0patIaKD7WqYboRsXldj5gu+05EfPSOCgeP1ZkMqlxzsea6y9o8sLfFrfc1ufb8Cts29vjr2wRKBDQbESvdIcaCEjDX7NHu+Ji4yhtecpaPfLbGzjMVXn9tjzBa5I4nZ4iSCi+8eB2vv6bN+VtbfPmRHk8cq/H4IZ8t05LppqAWCHzP3YSODyzGgjGWKE5v1sgyjNyNPAihH0JnIFgeCpY6IPSAKy5Y4R2vWuElFyfMNKsst2u0OlU6vYDuwKPbL1aC3lDSH0AvvXEGg4R+aBgMLcMIkIrllRYf/sSt66LY/uobXvtie+bs0p+tXzf9fwbA3/SfP8Qnf/s0vTN/+X1RGL+7N39g1lddZOAjZIKx4Hxs0kMihEAIiZIaKROUEunybPCUJdCWqhYsDxSLrSk+dnud+5/qcv3lK7zjlStcsbPFTFIljgN6gwrdvkd/qAkjRRRL4kSSGIGxwmVBhSXwDbVKTOCH+N6QE4tDbnlIsv+4z6HjUygTsHOjz0XnKK66sI0K5nnyQIPNkzUuORc2zC2z1G5y6WZJbCyffzBg2JNM1mNe88IBn74j4ujpBhec53FqZcDTBz22rp/i8nPmufuJDvc+LRiGPheeM82FWwMu3NLhwKkl9p+AB5+tse9gnZoWBFpSDywVD6R0K5217maNEwhjCBNBdyhoDwTtCEITY+yAq89v845XtXnJpQkbpwMGgwkWWxU63YDuwKfX13QHit5AOTkykPSHrm90MEycx5/KPHcDObkSG8XB4y3e89dfWXfHUyffPT0h42u/5+8+dP/v70VM//S/XICvHP9DJrfUeIvc8N03XvzQ7739hqcmJypNbLPOIAQ10EhhU2ArpHAXTUmBUgKtVPps0CrB0wJfG3zPEniWmp8wWRF0hh7L7Sk+cWeT2x4fsH6qx9te3uLCrQMG/S6XnGPZukExjDySpEjzCyxSGjydcOSM5dBpwUrfcPPdNU4sTGFDj6mKYtOMZvsGzbmb4ZKdbYxc4L2frrO0NMG1F2ou2dniy48LROyxbkpSr8X0Ih9pJViJ0j6tgeDMkuBiW+PlV3W455Eqm2Z9rr1kmn/7rQv8+Wc7PLinTnfgsbjS4JxNVS7Y2OOFuzp8+0s7nFxa4ua7AxZ7AUdOeZw44eMpgZRu1TPWkhiIjCWJDVMzEZdd3GM4jLhw65C3vHzIugnFdCMgiiqcmq/Q6/v0hm6V6+fATrX2UDAY4oCcSpJhmDgJFFkGQ0s/hEEs3CoReew/3OLpI1+e/R8/Uv+9e3/3nIipP/ybH/vFv+GP/vt3/8sD+P33/A4//nsXiJWjj771H+46/r69B5+qaTWgUvOIjXJd6liEtIXWlqTBpERJiVYCrdJnLfB0gq8FvmeoeJZqZKmFlolKwlRV0AslnbDOoeN1fv1vpsHEiDjmqst6nLMhJI7BWIO1LokjhUAqgfZ89hz12b2/Qr2iafiS2ZpgbkayblqzaU6xfWPCBdtXSMQiv//JJkeOTnLtLo8LdyT04w73PRkwWfWYmbBMNkJqVSeFjJG0BoqlrmWxldDqVnnxJSs8tLvHs0cVk80KL7x4kh96wyJ/+Cl4ZH+dbt+y0tGcWWqyYbbGuqkB22cG/ORbezRrLZ44BHuOSTzPopRFCANY9z8LcQw7NiRcf2lMEnlEcYC1NQahx+kFn/7QrWiDUOXyrR8KBkPBIHSsPQxdVnY4NAxDwyAy6c+yA/qRoB8J2pFgOZR0wogJPeDosSOT/+MDtfcdWfqF+P2/bD92+Xl/at/5PT/yLwfg7/zlv+HnP7ZTvXjrg2/+yGePfujYiScrR85K9p2EK8/rEScidUcMUgZpAOmhlEVJhVIq1dsSTzvN6XuKoScZhoYgTBhGlmpkGEaGMLQ0YxhGhmEMYSwYRJJhEhAlFZ7dX+fxZyGxFgdtp409Cb5yNR+NAC7ZCM0qTNQlUw3FzKRm3TRs2zBk49wKkV3i9z85wYGDE1x5ruLcLZKdW5b5ytMxZxYnuOocyVTTUPH7BDLAKkGcSIS1xEnIcrfCmUWPKy+s8oJdHe5+pML6KUGt0uDKXYYff/Miv/cpw9MnGqx0DSsdxfyyZnayzlSzylRzgmYtYq4esf3KkMCL8XSMUglSuGDC4m6qKFKcnddEsSKKFWGkGEbpcygZRpJhKBmEkmHoLNpBKBiGlmHozuswTAjDVNNH7ueDEAaRYBBBLxK0Q8FKJOkOY2zY5cIdfS48N+bZY4/Wrjon+tBTj24xP/aOrZ/83pv+IGlu+fFvfoD/2u99mNlmoBry2bd86YHWB++6b7mSsBlsxHyrxS/9cJuLtnRR0iCVQUqLUh5KGfcsLZ6yeFrhaYsXSnxPuIvgCYa+Iowc0KPIEsaJc0Xi0pFAnFiSxJAYnN425OAWApQELcHzINCCSiCoBZJ6TTFRk0xNCNZNx2zf0KNRX+GT94Tc8eQ0KwtNLtum2L7R4/ytAxKxwucfrFH3NHNTikZtwJMH4JmDmku3WnpDxeXnR1y203L6VML8sk9/UOO113S464k++04o6lVJ4De59FzDL33fIrc/3efTt8+y2LZsX5ew3NJMNhUTdY9GzaNetVQCQ+AbAp2glZNaMm2ttBaXsDKC2EjiRBDHgiiWhLEgiiTDyDkvYSQII0sYwjBKCCNDWCKOYVQ+HLj7GbgjSSuC3jBCRl2u3LHMz33/Em98SURsDOHwoUovEX955JnJfzOMt338wJN/ley87B3f3ACfqVvZ77fffvr4iT8+fOBYpTEzTScyJFHIP9zjEw41b7mxw1tv6jLVTOhIg5ZJqrOdHva0xos0gVYMPMc0Q08S+oIwEu7iRIoohjCSzkGIC9svTgxJ4tyFxKZOSeqWZO6Mkk72+FoQ+JJKIKlXBc2aZbJhWD89ZG6qQ2xX+Nhdkj//7AzrKhUu2ybYttFjxybD9o3LfPI+y9JShQs3KKaa0KhFnDksObsc4J8Dw0gwNyGZnIR9hyzLbcPphQrn76jwiqs63HJnhZkGBL6PkpNculPww68/iyfP8g93T/HMiQrr2xHrJmMm6opGVVGrSqqBJvAh8EBr5zBJAVKUQI67sRMDSSKIE1KgQ5RYwhiiKHGkEBnC7Dkyqe2YuTKpBRk7SdKNBO1Y0okM4SBkImjzttcu8raXd3nVVZZ2p8FwGNAfVmh1T1dCMfe+WDY0BB/G8cw3J8A//ombSRLzffc++PRvHj50pDlbV3hDiycUbVkhVJrPP+hx39NVTi0v8u+/vcdUM2YYVGj3Kmjl42kPT3v4YULoafzQSZMwcql0xzjCMVHKSnEMUQJJ4pwEY1zAZYzNejhTcDuAu8BV4GkHkEoAtYqhUY2ZbMTMTfaZnVrhnmdD/vLWKnsOTbJjwmPnBtiywWfLerhgW5te3OaB3U2qymNuSjHZgMnGkKmJGN/XLnFloT/0WWpHrPQsrW7M2WWfbRsavOjCs9z6YI89J5rUgghP+Qgxwc7Niu955QJXX3CWv7y1wQNPTbLY1axrxkzWYmoVSbWiCDxB4Ek8z8UqSpHahw7lFtfDagw50OPEpKtbai3Ghjhx4I4jCGNbHJFzZQaxI5VeJGjHgk4Mg0GMifvMVNv82Hcs8ZPf1aUW+LQ6VQZhwDAK6A98+sOAxdbxJtr//al1F/v33fWZP7/uJd/yzQfwM/MtpJI/+P4PffJXn957fEZIQaChbixCJHhS0pYefSlZGXr85t967D6wzBte2uXlV3RYPxvSaVfpDwN8LybwPYahJvCdvZcBPIokYeyW3ShOPe2E1PojZW6JsRTgdknKlLlBK5cw8T1LxTdUKzGNSsxUc8jG2TZnWj3ec7PH5x+aZmm5znlzgm3rBJvX+WxZJzhn0wDtr/CROzQHj9XZtV4y1ZBM1BOkHHJi3hJoiRRgrSCMNNvXtXmQhHZPsdy2nFmqsmtLhW9/eYuPf9nn8JkAT0cI4WFsnSiWXHXOMtu/q83nH+nx15+f5uHDdTZPCWbrCfVKQsUXBJ7A91ysohUucJYir8mwuJvMWJzTkjjAZyCPEyfpHNghTFytS5glj2JBP4ZOLOnE0A8NSW/IltkOL7tymTe+tMfrrjFoUWN5pcIw8glDn2HkMxi6GEAKQTg4MtMINrz7kqu/XSXR8vuVN/XNA/CFxRUCX//bj918x6/efs9T6/pD4ySAcn4twiVsPCnoSklHVmiFmo98pcLtT3S48sI23/XKHq+/tsXMZEB/ENAf+gSeRxh7hJHOA6U4VkSJJI4lUSKIY0mSCBIjCq1tBLkqsVlG1CWLVJos8j1D4CdUg5hGdcjsZJd+1OfLT1o++pUJHnhqkinf49LNlo3TkvUzPpvmJFvWh5y7eZknDve5+a45JpRmbkLQrAuatYhWL+Gz91Vo+M4dMhb6Q80brh/ymftdTUyrazi7rNmyrsGbbujywLMddu/zqQcxSgoHclNjEDqt/z2vaLFr41k+cnube5+Z5OhylQ1NwUTFUvMNFW3wPdBKoCRpgixNDKdQN6lUM6ZY4eIU6I4gIEoEUZICOxEMYkEvFnQTXMwThtSrPd706iXe/so2V+1KWD/l0R/UaXd9wshnGHqEkbtmwzTvIISg4if0lp9cd/LQul9dv+0VZthvfSCofuPHyn1DAd5qtVhabqOV+N7Pf+mu3/jM57480++uUPEl1maSwF1oJUCnzkUgoSM9ep7ieDvg5P017n+yy8cv6/CWV/R5zfUDpid9wmHAMHYnLIo1UQr0OFHESZqwSQqAG5sytylqyvLfL10dh9YG30sI/IhqENKo9kno86VHJH9z2yRPHZpARAE7piwbJy2zk4q5aZ8Ns5JNcxHbNrQ5Nt/hTz5dJx5W2bJFMNnQNOvQrEUIL6TdrzPZsAghsBaiWDIdKGIT04l8Or2E5bbixHyVi89t8CP/aoV3fzjgyHwdraL0xtDEcYVBKNkwE3DVeW0uO7fL00dO8NGvVLn14UlOtqrUA0XDh7pn8bXFU6ClS+cLMVpdZwBr3E2XGEFiIU6E888TQZi4JFE/EfQT6MeWOI4x0ZCZSp/X3rTC227q8JJLIyaqHmFUZ7kVMIx8olinwFYjhBTF0uUdjOTsQpfl9h3r2j3/N7btfFG8vHjyL5RXp9n8xgH9GwrwwaDPzHTzjQ88+MgffvlLX26aqMV0Q6XOhWMFV0uSMqi06MTiSYGvDNVE0FM+vVhzdljhH+6vc8dTPV74xS7/4Ts6XLStzbpJRbOmCSOfMPaI4wLkSQZwIzHW3VTWijz9LtKVw6X5DVrHBH6Mp0La/Yj5dsTvfrLCobNTPLJ7Emt8ZqqCdbOW2QnBTFMxM+mxfkayYSZm81yPmcllPv+o4eFnJrlsi2CqIWnUJM2aoV4NEd6QINBo5X6/tZAkkv5Q0x9ExEbQ6Rs6XctS2+P0YpPrLujyootX+MgXK1SXFFpGDpBWEyc+YeR6PGcnK1y9s8vV53V58GUnOTIv+ctbJzm7UuP4YoCvJHVP4GcyTLpznxN5JlVwTB5bQWwgMoJhAoMYQmMhiSGOkGrIpqk+l2131+OaixKaVU0c12l1HLDjFNgO0DqVjYowVkSRJEoJyN1ImuFKn5Pzd8x0Bv4f7rrgiuV+v3/zNxKT3zCAnzi2n3Xr1qubb/74ec/s3tuMwg4TdZ9hZJyjYSw6XfZUbFNwg04EnrL4saWSCGpK0FeCng7oJx6LYZVbH57gnmf61IMh/+Z1LbbMxOzY1Oe6Szpo4VrEhHByxWUlXa20tSXmTpNISjjP3BKDjHn6kOShZzW3PNDg6aMNwrhGQyvmqpbpumWqZp0P3tRMT2hmJgUbpmM2zfXZOLfMHU8Nee8t69g4qZlrQrOuaNYFjVpMNRhyz17FINR4dQcqawVhLKloxRW7+tz/5KQrfOonrLQ9FlYCzixM8SOvP8PxhUXuf2wOTwIiwkAOoGEo6fY1U40Kk806L9rV42WX9fiuG+d59pjhMw9UeODZKnsP1omFZjhU9CKFyksfyoFnmhOwhthYrDF4ImHCD6kQ8aIru5yzccCW2Yh3vGZI1ZfUqx5hWKPV8dOVVKeEo3Kv3R1y1ZEYkdb/CAaRoNXpsHTn3c0Dh06d97a3vlU9s3tvcvFFu/75AHz37qcJTd3f/fRD3+/J6Dd7nWVqVZ9BmCCkJJIGlUCcZiaVFKgYJxESi47BkwLPWILEUlGCWiIYGhgkHv3Eo5dU6HQSfuMjU9g4Yv3cgIu3DZiZiHnLK/psWxcSRSLV2xJKzE2qP6U0CCn4xO1VnjhQR2jNkZM1TpypUakqJgLBZN3SrBiaFWhUBRM1RbOhmGpoZiZhdjJm/cyAzevaJHaFT9zVpN+tc/4WS7OmaNQkjaqhUYnxvJDP319h2JN461y3aCZR6lXFa1/Y585HDd2hpNtPaPc0Kx3N6cUaF53T4C0vafPI0zWOLDVQ0gBRqpc9okQxjFxipjvQtLo+jWqNenXIRVsGXHvBgGNnWxw+tYL2Eh4/qPn4V2oI5QrXGJ8/aA1gwFqiMGH7+pi3vaLPbDPhgu2W9TOQxB7DsEEceyy3PeJIESU6jYMcoDOAu5hIpq6WSOMkkcZJ7jlKLd440SydXmBiestv3nffA71rr9r55/v3Ph2et+uSfx4A33/gCNo7s2tl6cR7Dux5WFqr0FriG4vAIJFpdtKipQN6LC2xEejY6cQosXiJ04CBtlQSS5wIQmMJE8HQSIaJJDQekYH5bpOvPGGwJPz9A25kA9akR5bFSy0ykVUkSqRSxJFGGo2nJY0Azpmz1D1DLTDUAqgFgnpV0qg6OTTRkEw1YWYiZm5qyKa5DgnL/O7fVbj7yXXsnIGpWsreNUmjGlOrhtRrfarVGoFy318IF+waA1HkMegL+sOEzlDRHRg6feNa5uo+x89M8OKLh/z4W8/w2x/XHF0JEMJgbYRJLFHsEUaSwdCVsTb6mnrFp1atUAtqVIKIRjXkqvNDfC/imvNj3nFTD63iNAlkEMKOivJU0hkjEUISeApw7sfisnZ1O0kW86RHLIsYKC1cy8CdOVtZYilOpUkO8jSxlKRO+EMPPihnJ9V7dleHd/X6g6e+Edj8/wzwD//tJ1BaV/fu2/fmffv2iYrnEiZKgtaOJVwRk3Ms4tgilUUloBKnDeMEdOJ6H+Msok/SqD6L7I0o3htBaCSxlSRGE5mAJLW9yo88SylAC+EylQoqVUtFWyoqIfAg0FDxLdVAUPUltaqkVtEO4HXBZMMw3YyZmRyybrrLpnWLvPcWw1/fup6tk4rZhqFZVzRqinoNatWERjXi1KLhwKmAiu/iDcgq/QSDUHPOBsOG2QHtgU9/YFMWl6x0NI1qhUZtknfcdJaDp07zvps3o6XGYkhMQmwsUawZhop+6IqiehVJbaCpBh7VIKHVcTGG7yUuYeYlaOkaJaRM0sI2d7jSFeGulnUrYcukVZbGxTVJIjFGEpsi3nGgzQL87HXpORa55o6y5FL6Po4hip2Vq5RkesLn2OGnhafCN2/YeM6B2798c//lN73x+QX49ETVb7eWf2Zlef5nJJGU0gNASpdsKAqnLIlJa7kTQZLKk9iATtyXzINRY9P3Nv9Z8bqolHNersgDpbLmBtJg1gVWWhq0JK1pAU8JPG2db6wFlUBS8SXVQFGtKBpVSaNmmagnTDZipptDZqd6bFu/yAN7h3zk9k1MVQLWNwzNmnDgrkrqFUO9EtOoDXlgDzz+bI3z5myqe4u0eX+ouOYCy/nb+jz41CS9oaU/SOj2dQpyj1qlSrUyyXe+dInH957l/t0bwCqMSVw5bGyJI5vXk/SHmtrAUq0oKr4h8D0CPyHQBq0TPO2yw0q5hhEpXWkwwiIo9FwRnLsSYpM5UiazX0tWbAZskwaO+XtyYGeHIzAH8iQuSCxJF10pJYsrofSOn/1/Ytvwg6D2K0D4vAG83+/JwWDwC5/65Ef+S78970/UPUQpNSyFQBlJnAPcAVulSYVEWbRJXxvXQGsS8tdJlnGzWebNYtJMXJassNZSyryPrLiZW5MldJwXLxzA86Itl/0LfEUlUFQDQa0qaFQtzVrCRD1msjFkZqLPprll7t/T5xc+uJ6jxyc5d9YwWYNmVVGvKuoVqFcSqpUI3xvQGrhiMU9ZpCw+WWIcw0WxT7Ma0YsNvbTOujdI6PQkraqi1gmoBA12bIj4pe9v8d8/JLlv93osCmMNSWKIk5gwNoSRYhAq+oGkOlRUfEngWwJfEWiD5zm/Xyub1vmkq2oqU4Swow26aWrfpiRi01qWJAV8YopnR0YyfRYFwNPXSc7ahZuWE1iaaTYWEuEYfe+BE35kqj/93d/93V6/3/v5arX2T07n/5MBPui3sTb6lb3P3PWf+q2jlelJ5ZIGtuytui+ppCBWGZAtRjpwJym4TfbaCPdl07valP471ljXRZ6WgJYPxgBeNEuk4BZZTbmTRDptRfO0JPDdAKBK4EYyVANLvWJo1BKatYiJRsh0s8+muRXuf7bHf//zWfYcnWb7tHNYGlVJvSYde1cttUpCrRIRJSF/9cUGUik8aVGisAmNzZZwj+959TJfeDikEwb0UoB3+4pOV9EKNBU/IPCaXLA15pd/YJH/9ueCe59aj7GSxLi0ehS7QrNhaBhWXLlrEAgqniDwXWbT1zbP2GplnEyURVlyDvAi5Qmk1xOXS3BuSxrIZwBOpw6YPLlGyu7F9U/KwDakOCDNorprbw0YLNa4bOrTuw9WPvuFr/zn17/2lWJ5pf2zU5P/tOlZ/2SALy/sx1rzojPHHq5W/QFKaKLYLTkm/aJ5YY8EZQSJFCR5ejgDdyY/bHon2zy7lrVfOaALV0eRgTo78WOfq+jdTOtMZNE0kdWRO4BLPE+6+g1fUAnczJNakFCvOnA36yGTzT5zky0eeLbHL3xgmqePzLJlSjBTL0mTiqZecfUr1UpMNQjxvCEnFqfwlEBJk9pyRZCZJJI4VmycssRxRDuqpJ0yhv4goTOQVHuKiu/hexU8PcGFW2J++d/O81//DO5/Zh2JkQ7giSWKk5TJDcPAUAklA1/lEszzwNOpc6WkywVk9fYCRPq8BsadXCElLkROYCZNDmXZ4iQp/dwUkjMpAduY4npnOHDXPCsZMMQx9AchX/zKQ9Wt23a8SMp/+o4T/ySALx3/GI2JhdrjD37F12KFelW6ZS/KtJYdvZtlelFV9t4xdaIZ+5KMvLbZF8/Z2hbM/RyfTYqiiMo1TIgc3ErKtFEikydQ8SDwDdWKpRo4/VyrRjRrIZP1PrNTLR7eN+C/vX+KJ4/MsWlSMVc3TFQFjYqkVlHUqoJqxd0cLtUfcv9uQXfgU1GkN1naZ2qLQDOKNfWK4rpLOjzwdJNe5GRKf5jQ6ys6gSLwFb7np/p5kou2Gn7th87yrj+Fe3evIzKSyJi0WbrowRz6ksA3jr29oo5eq+wglSmFjMu6qdYCeZYUshnAU8AnufPCmiuvSaWIKZFYkqSSpPzeQGyMKxGILYNIsHRyhT/4s3/w3/Rtr6/9zvtv6f3nH/zW//0At/YRYMvk8vG/+xNft17q6ZDAD7AYpBBppoo8oEhUetemy5Zj7BLLK7E2a5cAbXJgF03BpNo7vxjCFRQJmYI7LTJSOcBBpRWDngbfw3UC+WmBVZBQTeVFozpkotFnqtHmsf1D/tv7p3j88Do2TGrmaoaJKtQrgnpVUasqajl7J1SCmEZtwB2P+6y0KkxNFWnyDDAm1aZRolg3o7jpBV3ueMi4LprQlEAuqXiSiqfxtI/WVaQ0XLTV8qs/dJZ3/anl3j3riIwmSisAXdmrY/Igknl1oa8lWqdFWFKgdHZuyD9fdhNmUkVkVWkUCaHxw5SejSk95yvvKLjLlZ1JLkdNzvAZwMMEesOE4dLgpY8/c+DP3vlD/+pHL3/B3pVXXfuPSwD9owG+cGoRITvv6i3ve3vYn0eKSbQy+BoEEikNUap3VVLoMKezs7u8uOMz+ZHkMoScvUcCyXHmTpGeZeRy7S2zCrpCd2cVg1rh6jO0xfNcY3HFN1T8hGolplaJqFeGNGoDpidaPLJ3yM/86SyPHVzPukmPdbWEiZpNwZ2yd0VSDRz7V4KYWhASmyGdMEAoiZcxeK7BRcpeqV8cedT9gSsXCCtMZSAfJPR8x+CBL11NvM42oLVcusPy7h89w0/9seHeZ9cTGc0wEYSJSVlcUIkMgWfxPde7qtO4QytXIqykTM9P2pWfPZcKs8qmQc7oY+DOSahETGVw53FVmcjMmFxJpUxW7JUkznk6cWqBx3cffPtTTzxzoD+M/uv/VgY/ffoEk3Obtn/u5j+/zA4MjUoTY5yOcwNoTM6eSaa588BR5OAuvij5aDRrC7soj9zzE1hkJW15zcxYuxxUZstt2qGj0mBK67QzKC1CyqoHK16S6uaIamXIVLPHRL3D/btjfva9szx6cD1zE5q5asJExdJIwV2tODsxA3c1SKj4Mc16yO7DltsfqeNLiadMGsQVHkW2fEeJIjaal18Vcd65XQ4crTJXo+hzHCb0BikLa4XWXp4wE8JyyXb4tR9e4L/+qeGup+cYRFWXDIsttbSGO/BwINfZ6mXy3lapknyFU1KUAC5KIGeVXilAbkcBnlcoFivvWitzwe6UWNyWglGbj9hYP6GoRgscevaJy37sR/7t9uPHTxzZsuXr3+7w6wb40sJpqrXmjgPPPvg7cdh6Y78bo6VOO0dcZO50r0y1th21k6zFJJkcEauWtMwftrmnPeaSrHJLUuYeB7ewSJXZgmn2VKWsrS2+NnieIfAMgR9T8WMqQUitMmR6osdyp8edT8Gv/c0Gntg/y2wK7smqpVEV1Csi98qd82Ice/sO4NVgSJgkDPoVKsrdZFKIkUq+LJHiAk3ttLweMgwt/UiUAG7w/QTf03iedFMFpJcDHAGXnyP4tR9d5jc+HHPvszOcbDUZ1CWTiaURWyrpxIHAs6n3nzkpNmfvTKpkAM8/b/qhyzjPFWJ6UbJVtQD3qKQsXDVbut42v+4ZwI3JDIoixyEk1LQgCbucPr34xjvvui+56qrL//PxEycPb9m86RsL8NbSEfrd6rWLZ59986C9h0ZN5cslOXNaVGr3uUCy5JnaVG+nUsSBWqRLW5awGZUiZYBnp7isCrOL4DKlxWeQGbjz4UCuLNbTJh0zkeTgDvwU3NNd5pf7/Opf1bj5vjkWulPMTUjmKim4K05319LAshpIaoFNGdxp70oQAiG3PeazHPnMBIzUYyNGV6gkcc0PzUDziit73L8npBMFTOQd6wZ/6GrVfe0ArpVryBbSJWiwcOFWyW//hzafub/Pr3xgPccXpuhPaiZ9QSM21GIIIjd62VduoJGXBZpS5EFw9lwO1Ms3phB5r0h+fWBMQpaBXYqfTAn8GaElY4BPxggPIAHCWHL/I3uYmpl7s1+p/VWv1z/8DWXwKOyivdr5Jw7f9R+HrceYmUwTBumIBwQlkApUqdEgsbJoOihr7fzvZxLEFjbUOGuXZUl6ojNmydLNmQugMoAri5YO2K630/V3+l6C78VU/IjAj2hU+2jd447HE/7ss01uuXsdoWmyrimYrThZ4izAzCdX6SFS5i6zd4TWQ+55ZpJeqNlYyz7POINnQbYrJa14ihdd1Cc2DuD9SLiu9axzfWhccKjT2TCpvSfS5LpFMDspePuNXRrBST7w2T53PjPD6ahKryJpxpa6tg7kOo1DlE3jkrT4TWbnUBS14xIkBYuP7yiYS5VsRAXj2rzcPVTkR2ymx8ur+NjrLCudGJftxiq+dOdT7Dp/1398w+te/Gin29vXqH/tkXBfE+A22svJw5/Fr0xsGrb2vKymT1P1ghEHI9PIRVq3YO9iaSr+bESOZFqbNJkwAuyS9VC2r/LhQIyUAqi0YtCNdjNpzXcKbuVqMQIvwvcjKl5IrTbA93v8za2aX/+LdRyYn8YLKmxoCKaDhGZgqQdQTzvsq4HLdlbShJCrX0nSlcDJk4V2Qjf08ZXClzYPMCl9lezGzmo3wtij6g3YMNlnpdegH4l03JqLFTwvSW0+ldqdygF8JHB1lY9vfEmXay6e59f+csBff36OpbhOL/Coe5KmdjU4gQZfkTdD6Czpk658MpcqRQKoTCqjYqUMdEZWYDPC6mVtPnaUzAZTvkGKK45FceZYi9vu3f2yVi/ZtLjc2nffE0e57vJt/x8BbhI27XzxjuHKY+/tnbmfyWaYJ3OMEanxnzKxkTmLZ4xdlijWFPUNWfBYfBlRkiRiTJpk4LYFm6TZN1kGuLRu/MQIcycpyGN87SRJ4A8JvD6Hz8S87zN1PnXXDAfPTNGseUxXYCpIaAQ2Tb1n4JYpuGWeFKqk2jvw3Y3TrA/55D2afUeqVNIJXHm7GAXK8zEO1unwKNZcuB2+9ZoOf/a5Gbo1TTOdPRKEadygDFrLdGwdJZB7pYvlVoVts5Kf/dc9LjvnOH96yzQHT0+wFFfpeZq6EtRSoPvSuhsndZny1S87r5l9iNPnRabTrvbJM2LKSidy33y1pZhnum15FSfPUo+DPfu7vcjjE3fs4cLLLnrva199w+vmF9tfU6p8VYCvdIYI32f3s7dtEYP7d26qHUGLScI4SZsLVImxJcaakfc2Z+1y8U4hV2yZva3IWaBghYy27YgOzIDtnrNRyg7czjXJ2DvB07Hr3NExQTDE10M6Sch7Pubzgc9s4MTiJEZVmZ5QTPuWCd9QS5m7lqfvZVqnkkqT1DvPwe277OUwCtl3PKAbBkwFqYuTJZ0yVyLLwtpSTUqkadY152wJUcGATtig7wuqkWWYAVwnaaJGOR9bZiXAawWvirmJHj/yxh5vfvlpPvCZNu/7xAwL/Tp9XaGiFTUtqCpLEFvH5mmdvpZFeUOW5VzF5KwhV8YdFmAklsrkR4nICpAXEjd7n0nZ2Lrgs28EvRjCIwscOvDgzit2JVtuuOJlh63tI0T1nwbw/UfnmZqYmNt9dOJj7/3go96v/0jCzs1dOr0KkdLEic5LKU3K3jYDeJnFSz8fAXYK+IKxBXbNT2JLdqDNgT0iT2RaJacSB3CdoFWC70VU/BDfC2kNQu55QvI3tzb5xF0zDJIGvu8z4wsmfUPdt9QCS80vwF0JJEEgCVJp4hJDqTORAtz3XObz0CnLnQ/XCCOPoG5XBZjZo0hnOyIII4XnaW66psNHvtRlz/E6/YprBhh6Fj8GLzJ4oUEp6XxrKZBCFsN9KM5nYiSxkdQCzfrJPj/1nT0u2jbkr29t8NDuCeb7dQbKx/M0FS2oSgiyAUuZvSqtyycISiAfrVkZL84qM3pGUOOOWPbelJg6sWXJ4t4n1iUKhwYGxvn7ySDkoh0rvGTXp70rzrv6Y7D4giRamf8nM/il2ybllx/cf+2ffvTuiS/cN8G6qS5/8J86VAOLkj5RkpAkOg8mc4li5Ci4x2RJfmTATiVKmcFHCn9cj45j8jylbPJyT6e7LVolDuAqyeWI1hGtbsTdTwk++Lkmtz4ywVKrgaxWaFQVk56l6RtqnqXmW6o+KWs75q4GkoqvqPiCik9aoWdScBsCz+lvpYfsPQ4nWhWXWEn17WjipKifcX2QDuSxkYShZn1TcP7WPk8ejelFHsN0xrcf4sCnssm6WaIG5FhnTnbzZDZklLj68Lfd1Oc1L1zmy492+NDnmzy0u8lip0ZL+nR9ja8EvhQEEtfDKd0udUoUN6kSadnvGgy+qn5lnMlLhGYYDSYT0oSgdcVcsYHIQmRdw0tiEoiG+KrDT3/XAq94QUzn1Ocm9GTlWq92+ef4KsODvirA9x4+Gfgy+eNjx47XYxVw31M17t/d4RVX9aHrgBUrkwK6YPFcnpTAnL82mQ4tAbx0QkZ4YUSaWMoF+k6WmFRzG5RM3ED8zM2QEfOdmDse1nz27gY33znB2XYdUangNTyaGiY818lT9UhlB1R9kR4yLTlNdbcvCDL2zgCuY3w/puKHWBtx2yMBR05VmZ0WeNKkOlYUjb4ltrMlCzVJFP2hx/b1gpuu7PGp+0K6kUc/ElQ816/qp5OlilVK5X61m6NOcV6tcH2pWaOCcX57NRjythv7vOqaRf7+rg6fubvGHU80ONuq0Rc+fV+jPYUWwrUQSoknbCq1LApRkoaj9uEaZD7ighXMLfIANCkxdpwfTpa4ZKABG0MSwmDIS69uc90lQ+KkxvzCmfp0Vf5xbE9cBPT/SQC/7+GnmF/ucfzkCkSWs2cV+88oXukP8IbSsahJ0mJ4VcgUW8iVbA/LDOQjFwFc7+QaNYEjAWUJ2EKY1A40iBTgWif4OqJSiRgME/acgMMnFR/94gSfe6jJ2eU6eBV006OmJA3P0tCGqmepelDxHLgrnptJ6MpMZekQ6Z/bFOQmB7nvufa0AycNTx4KwPPSZd6WUvRiBAXlIMzVSwvixI1zvvScIRdv6fLsiRr9iqAWC4LIMlSk1p5J2TtzUzILstAquc+eWpHGqHT6gMcg9KhWh3zfa4e84boVvvBwl7/9Uo3DJys8e6JGuBIQB5qB1kjlpvoqQKfPGZPn0oUi+F/1yN2UAtSGkiyBXI4YCwnWTfrNDhO7w0YQhezcOGT9XEIlSKh5i7QWnsHKxleD8HMDfHHhpBgOBv/xbz/+vtm33nSGh3YbTp4xTExYqCUE0RAZGpIkwViVgrzc0V4GtiwFlCIFNaXnMXhnkXqu+VxSw0kSk+7ykBAEbpJqnCScXoQvfkVz4HiV2x+ocmK5yoGTdQgCVE1T0Yq6ttS1cS6C5wbnVzw3rs2BODtkeqgU4KSaOwW3lxB4jr3djRVyaB52H67hyVF7MJcoFPXguaOQOSkm7WuMPS7e3uf8dT2eOhjTiz0akWCowY/dTEBVAriUAiHlCJPDuP0m8mA266OMEo+h59OshnzPq4e85LI2J5bb3Pagz8FjAV94pMbJxQpJ38NITeQrhJRupUi78iVpxhNy2bIWyEcCTcpZ6sxtSX+a9dJaAzYpDpPO4evHtFpu6u2jx2LueSoiSZ6e/bY3/OB/PHrkxLu3bd+8Zvj2nABfOP5lrEne/uKLT9Tf8rIWp1d6PLpPEw4kt95RYdtMwnk7QjwrMKHEWJUHm6tAnvb5URrlULSXjQeWthSxF6ydSxGV4AUJUWI5eEzw5EHFFx+o8dQhn2cOVWkPA4ZhAJ6PanoESlBTUNOGaskHDnRWp5GVzbq68CCVJb6v8H2Z3gC20N5e4jKLntP5FT/CmpAzS5KhDVyztbToks02RuA5yBM72u8Yxh4Czdx0iFQDupFHTwvndERFwZhWZiQDKUUpis2GHSHymChrLcsGI3mJysdP9IY+G6ZCtq2PuOrcIf2wz7851OKpwz5fvL/Ck4cqHDxaIYoVBAorFQhJIkvZoDxJsYZWGRHnmQ+cPZvS89hhEogMmoSdO0K2zcZ4FcPP/VGTx/bWOLwwyzmz3Xok7n+71urd/ygG75z+OHHYVisLj4tNc8tMTyRs3hZy6JTkJ35rCmLYsT3m0gsiXv3CIa+4IgQb43mWap1UZ0swgjhygM8CyREGL9/y1gGadH6Jpy0Ig5CWKLT0Bo7RDx+XfPjWgF6keOyZCvuPBSx0fYaJD9oH5aGaCl8KqgpqylJRuHFmKi08Uo61fc/NS/TL4PYkfipLAh8Cn9Q1cSlzTxt8L04zohHVSsjZ5YQv3tug1QmYmhDo1IvPir7EczFbKZ+QGMlwqJidUbzmugFfeKjP0VadviedTNHgxRYvyjzr1GOXibMLKc86kfnvMFaPlEwkicRPFIlWxJ4b+xBFnrNSvYi6H/GSS2NedNGQN71swN5jksd3e/RDxV9/scah0x4ISa+vSUKVlW9idQbwMcuonL4dAThgDSKxCFNIk2o9wfMMwhpeceWQV18z4JILIs7ZHkMs+InfnuDRpwKoSUJjufneg+Jl116i/tef3Rr/1A+8+usDuBAWL2i8Z7J26nJPLNHpR/zNl2u85+NNDp2qgIYjK3Dvk5aPfSlhbjrGGsuVu0Le9sqBa3hIYG7CcMWlIfWKu5hYkefAVl9zkQ/nafUEjz+hWWxLqhXJA7s9Pn1XhUGkGESKU6d9jNBE1sMID7RGBBotJb4SVKSlkgI7UJZAWVcDrlPPVxfM7Wd9mTm4VdqjKXL29j2D72cFWknO3r4foVTIVx5VfOq+BsrXzm4b0d/PzeCZF54kmeOhGAw83nB9n5vvafPXt03QjSvUUx3uZTo8ypIyNu8WEkLmAHO/Spa0fgngJh3toB2Te1oRa42OEwd0laCUG6Q/VYm5/oKY6y6IsGLIW27sMYjcOLd/uCvgwd0+1UCw0FY8/pRPuydTlSR4TlGe7zzhWgOvuCJidjJxxXmJ5W2v7HPF+RHWwNy0YXrSoIVwBoO2/NfvazNVF/z93YLlbsLRk7XLpybr77HWrrllxCqAn1loE1UazTOH33eB7C2qe5+y/NVnJ7nzsRrdRENNAc7fHFrLmZblzIpbZvYerfHpr7g70SaWiSnDtZeHNKqu/nfN9GT5Vk9dh5Wu4qEnfdothdTSzUSx2jGT0Li5wBqkRkqJJ4UDs7QE0uBLBwRfga+KGX0O5KJoeNCuESBrPC6D2zF8WlbrZQyelI6YQEdYG3JiwSccVggmJH6a9lZpVd5IFlNQkFfJOs27040ijDymGoqtsyG+GNCPA/qxoKrdEMyshiRLaClZLm+V+e9yvyNLtpkie2pM2nxSSKM4TtK8gUrnssdEcYKKXC5BqwQpY7bMmnTFMFy0bUBo+0htaLUEDz2pWelJVK5YRoPqkSud1qHUK4YXXR4xMWWwsVvZq8qdO/fZFSbWRJmcHVquPNfwOz+xzNte2eeDt9Q4cCxRTf/UBT/2Pd/T/Ml/s9KWevKrA/zAsXl8b/nd7/rN+RsfeHyaMJpj0FOYbAuEVXemyfVVbA2tTFMpS3vFcuor9dJXXAvgZf2WXhwhSr8vrTkVqghypEytrAzUadpZkm7cmvnGpWeddtIr0q33yMHt2roUfgpuX5OXmDoGT1lcG/w0O+p5EUEQcWzB8JdfqIP23YxFWUrwjIBvlMgyds2GhDqwucE6YeTxjtf0+fs7+jxzpkE38ajFblNaVwVoi04cleUEysFeVgGXSSFZKvDKDpPXwmit8BI3L8VLga5kkTRzdePpa2HSwUEJWliETZitGb7lxQZEkspMQGT7Z6xxzfMaIwFGYSKdx2lxJInI4jf3d2xWxohTF1omvOpqw/UX9ej2D9CcfuhGM7zh3dbGP/Y1Gfx3/+LzKCn93ftXaPVnnL6qZh91javEuLYqPStL4tmxvz+O74zdMoCPBi9CyryJQgnwhEsrB8JVC3rSvdeStKYi7R7PCok0pTkopDuzFV31BcBlLlsC3+Ytbb5vSoNzYryUvX0dIWXIkdOC+XYFoTWBZESeyPLXKl3usnQYAV7qdISxx0xzyPYNfZ49PaSfaAYJBInASyxenOrwmNxZKlLoaqRTIbtEbtJu1lUlStLIoBNDoiRKZ9uXq7RYLUEqk64UprBmU5CL7HfjpmQJaXPXKwN65oCtBfAiuVd+LkyJvIRj/N9kSBSCWmBIhmfpnv2Y7zYT+xoAP3H4JEIIPBMyU1UkCOKSbznSkFDm5mxc2ogM+VqyhLQrp1RYLwSSIkWcj1kWFk+koE0lQPY6/1lK9kUpKHmDra+EA/sIuKV79jOgZ8FnCu6s+0ebXKJ42ulT34+IifjMPVXOzFfxJhR+uYaj7KAwtu6VU9elysss6TMYugm2r7+hyz1PDGjHFXpaU40NYZpOV7IoiMoKzoQwFJ1DWaApclvSWYfpTBULiXK/UxtBrAQ6kekudq6WJ06BXiTTTJ5gk9KUEm/pa1kGd2rz5tT7HNd/DOAjr/MyjvJr0hIA5xK5lkiF7J5lLQYdAfgHP3wrzUb1xX/797dfszwf4VVIx+lal0K11mk6CsBnFWOFme++ydea1JILkixZIEBlz8KiIbfaVJoydvNNCo2bzTp0zyIfhVAGdj4HReH6EdcCeBZwZrpbZ7LEpnp7tJbc9yJ8L+R0y/DI/ipoH53KE10qUMqyfWIM4e7ilaru8r5UmXviUeRx5XlDZib7tJZr9GJFTYEXu++iEjdASUVlgONAnv8iOVapKdK+SVdKYZQhMQLPCBIlSZQhUYI4BXm5eC0rh5AZyEugzkomBCYFOWlJc7bmF0m7kWKMkfoVsQbYR5OCrpw6G0IkSWza1xp7+LWJa9Zve8WLTx58zd2bzi22RBkBuDEhg4H9Fl+bKxQRjcAjSoybKZd1Xdi0K6PE4tnYtJEKsjXuJ5HaJ2UzKbvLs6xYAQ6bM/h4CafOaiPSGvCs1NM1F2edKk6WqLx7pQB21nzr2DvV3Jpcb2eWoGPsAtxeXp0YIYi45a6Ae55qIAONL4Wbv51XEBZtdEXF33g2c7QwzXnirkqzP/C47pI+3/qSDu+7pUGYBHQTSSWxDGPSlatc9WdSOWfGbqjnYnIwWqYtYyIHd6LcCJBYCZe9VEWtTwb0ogbIFiAfyTZnTJ4t0iWZKlaTeXnkXlHDkuVNyCXLyIStNGaJEsVgaKgqecVgMPwWk5i712Two8dOMNFsvObvP/3Ff91tL9CsCeIkSyjYfBSXyToxsmU2YwcyiTKy+qwaqVaeu5GBOwOALIFCUtQ8lEcbZMzttiDJ3pMyOHkb1giLp90wnhoFtxunMMbcac+mn7a3eTprOIhLR0RIxN/e1iSxASrPXpYDzKKvMXM2RjQ4Y+16RrrpUEkWbGoEHm97RY+/+syQFRPRTyr0E4EXk7O4lBYZi7zozNmF4+unLFmTpTprI0h0OspBpSDXFmWcXHFj9lwFo8sey7w0ubAoy9WdRRlz3pSSA72QKqsBPrq2l0GerzwU4DbWzT/MBusPhoKVbhtZHfzrCy99xe0L8ye/MDu3aRTgYRjS7w/O63W7O4f9DrXAYxClS02qiRORgbtcx21HK8f46g8hSkxekic50MfKM8u7QZQ1Zwb68mwPpUShxdOKu5FhNymwtRKFk5Lbga7j3jUm25S5iwBTl9g78EIe2S/Zd7KCVR5KSnxp0ON1GiUBPu6iZEfWn1ruhMrZKfbYuSni4nO73Le3SqR8+rGgIsFLLDoWqXxLu3DiVIcjnVwY+ZWCcudVIY2KUR7ZTEitTD5DUqXSrwB3Vgtk0zKBjMnJVw9RAjcim5i1Nnuv9SiXcZRLq+2Yn59tixJGipVOn5lBf2eShOeZJP7CKgZvt1aIoyFxEhJ4kigbhmkAZfOi/XzuRUk/FRWB4mt97BFpkgO+DPQSuFVe813YboVkEa57XhTgdkGmyLvFdQ5uOQLw8vAf121PDuw8W5kzd4KvXWLHdQVFWCI+fluNxcUqItDOdy/fhOM1KAU5jViEWXNtuY4796aNIoo0s9OSt97U4ZH9TYZJhZ7yqSZOi2flrEqSgjtbK0zqiWcC0rH4OCuadN5jeSqVOyTKZCuSzV8X26qnGlxm+x1l0kQWzRHjDD7WtFKk+1ZTYlHOUWCqaJaRpYkEble9MJYMI2h3hiwuLROFg/y/lQP8nru+gNaSs6eWqVY84r4thlemFJ31/5XbkUbdv6/O35n/X8iTsecyoMssPjJerGBsWWZwJUosnskVidKjAPd1OgDIy7YOTDOc2uLlqXiTvk5GDq1c584zR+BjtzYYSh8lVZq9HL0RxzOYq5bl/GIypsNTLZ4o4kQTJJq3vnrABz/X44mDVSLl0ZMSPzGpeySQiS2dJ+vay0R5PTXp7xrdt6jM5IkBnVuIbrS1SksCVGKLYZ35XBaR39DxmB5317NcLEeJyTOQf3WsjIO8IIKs1n20HDtJPB5/8gCPPX0mTZuXAL6wcJqZmfW1z//D+885eeoMwyjbQDXVxjK937IqsJE7a21oj19QIcZfr9bezy1RRA6c8XHIssTYWZCZTW3SOtvkNdXeagzcWfreyxqTjZsZkreIZT2dcXpEKC9k3wlNJ/RB6VSe2LHy2PEbd/SEjA40GvPC026cIvGjqXuCCzYPeGJfSGIC+sankriabZ1qcCXcRq4usZRdHUMWZBZMXhTBZa1iOh9s6n6m0oGp2pB2EFmkKSYEZONCkqy7PzcAiuAyDzzHrneGllUNE5ndPcYCmasC5WFQRRZYCld8Vg3g1NKQ6sSmc37yP/9I7Xu/53t7m7dsShk8PE57cenV52wL3nXLbfMcm69QC0bnbitZOCTuItl8lSmXvJbrTEZAXWLv7M8ELp9TBkIB7KKPUZVYUY0M1cxATlEjrUqgzl+nSR5F6oU7cDsAF0OBvLI8KbO3Svs6/ZCljuEP/q7BYr+CCDwnT6QdWVWKwTlfXXOOTBPI5sTkDO4clTjWNGuad357hy8/0mRx6BNKTV9K/LSHshj5kDJ4uZ5emLyM1mJScBssklFnRaQMbvMgPQO7kiJlcCeJktxFIZcphQ4v2gkLmZIFnoVVOHJuSqvcaoCPvi53gQnhyodr0jI9EXJkvgPBFe+678E9d3d6/b/PGby7ci+1SsDhk8/y2NE+C91ampot9RRSAvNalL3Wowzo8vsxdis0uChALsclyuhgmhzYUiBVMX5MlUCtpUSnkkTnAM80t8mDSk+bHNyezuovRtnbUxG+H/LR2zyePlAF6SGlJMhKY0vWZr5HfPoln7OasMTmeRd5SabERqabPHlcurPHG1/S5oOfq2B0QF/6BFLkSR8lBVEpoBtnclFmcjvqMedSRYGyblVw823IZzs6VhcUYyWKWTTFZFrXxynkqDzJnZUSsTEC+K//UXZcMv2vVcLs5JDzti7wwKGn+MwdYI3T4RrgC49WmWz4fPrOSR7Zu8y2KZfSzedFj7sAozfecwO75Ja4H2eF+XbVQJkRzzgPLEXB5jlDfi2AywLgeaInA7h1c7JTKeKpwi3xSsOBCs3t2NvTbmrVcsvwD19psNAKoJK6J6IUjD2HREGI0XOVrXZr2XZ5T6vEJJmboplqKv7VjT1uvmfAYjcgVJp+IlN7UqTujSiaseV4YsWxd/Yjk7N50RupM2dFpa/TsddGutHX2Xkvg1xIUeq+z4Z4ptJkRI+LMbkiRgEuLMI+B6JW3QijK4RUbrvxa3YZLrogpGsjJCG/BOgHH9vHlg1TO/72Mw/++IOPPMls1aOiCktOlU6WGFtzxdqfBVtyDyxjF7sE9NFDrC1RssTJCLBHZ3+XO1zccHdGwZ3tbJAxtyox9yoGz8ZNFCMntHKZy0OHBXuPVDAECKnz5tyierAcP4iSq1F8+XItSsHkoiRPRO5k5O1miQaruXB7yM6NAxafrWIT37F44mSKLrk4BXuWC71SwZ2V0YJ7nzempCuJLOZGlmMbZRwOjCTV3tl1KcgoB7cR6SyVTJOLMakixvBg8zcZpuwYvkZjOLc62fTfGiPcjnNqksnGCts2NH+8OvMtj7WXbjysB2HCUnu4wRjzms7yIrMTXmnq0ejw9oKRxkA99mnW0tvjz/msEEZBPipPRMmZEKVgswC0Y3DSUcBlH7x8pFtaqzK4SyBP96v30tLQjL1V+l7rCKUiPnNfg30LVfALeeKVSWCMveUa52qEh8oJs3KDdnl3s6yMNtScOxvy+ut6PPhMDYxHnDgt7iVpdjcZlUoFc5YtuRTkadlFMXwpfS3T1zJdVWR2uHOfpCuGFCmrm2yFtTkxFQmf8uuUpUvtbXnbSxnca7D1Kuykz44kJCKGodBAlTheob7OvEbR3WBFdFjrNCgIlKUZuNEJGTBUrntX/4Ly7TbygUo/y5hrle4eA3X2fjxAywAt1gB2zuZKlJpwS+BO5xMW23awGti6GBCUj3jTJgV57OSJiqjWQu7bo/j7r9TpD3yoabQUeGJUmox//vJ3XhPgjOnvMcuw7ItHsWaioXnTywd87p4eD+zxsXWPfhLgC/IbTeW/v1jGS2tpDvJyzsIFn+kNphybJ9LpcVNi7SyoN2lwKY0o6W9RCnRHY6hCdxdxgfuZyIEuxoAkRv+vqG8pE2Q2srmUDY6igChSuZWoBREkERWdMF13c0EyCVBegkbAnX240qcZv4ZizX9TfLFxeSLXeJ1LEVGAWqrS7g1KpLUpBbgLkGdlsxatixHKOt2ESatRoHs5W7tDKRdg+n5IFCZ87t4azxytgechpEpBlc4NKQWXQo5e1PIqlp+jMmuT2q7lmY4227ZP5p54kmjCUHPRtpjX3tDl8cNVhrFPIj36RuEnjH2WzAtnjMHdsx37LKjsZjMYJVCZJScFVoG0hR7PV1QJ0pRmGZpi1ZDjAB+PSxgD/nNkOkfyCOnfy8hDGkhSLMSJJYolJqnQ6UmqQ0M0tOgP/+0taK1YWWkz0fDSkWDjH06svkhrAHu11716/O5azD0K6oyxywFmsQNBIU1KVmHO2BnAi8mpuURJmdsxts2ZWufPxWsvDS61igj8kKeOCL5wT41e34e6hxRZ5SAle3CNLGbpe5aXt8zucugSjA6SH0v4lAqwwsij0Qh57fVDbr5jwOMHA9A+AyPxUy2ujNtZoywNREIuD0jGMoiqcHK0opAu0rF5tqpkQb6xDuzSFIk2YcpuSnrNTcHs4zmOtdTAKhm7lkIoq4NS3DZSA2MDDu5/lJPH92NMgj47v4AQgjiOqfhOx5b/I2v/MjESSK4J8OwGyD/4qI5fk8VlCexlzZ2D3OntcjZTqbTCUGWWUQb0EnOrEnNn4E4PL5tCmxb4axW7Q0d4XkRsE265u8qdT1WhokG6hmavVMI7UhpbPspv1niMzNQmK2clb0ZOrMgnFWRAHw48XnZpj9e/uMfTRyrEsYcVir7QeAn5ZxJJweLFR1ibyct1RUplzO3Y3L0XSCNyHZ7bxxmjZ6ttyuD50M4xcI8EnCMgt5R3wFiFozXAPnJD5MG8+16y0yUKhxhj0dNN19c4DC39vov8MyP9q5qUz7mciFWMXbx2b2QZ4KW2rvLOAiPAHpEq5TR96VBj4FalQxeboGaA9kqgzpwT55i4Z6UifC/iscOSj93WAHyQHkKovItIpRuplrOuZWYp6ECMAYyR4rSCuUsa3Aq3I4ZKRz/k+8RrrNW87RV9vnjvgIcOuEkCkVH0nOYsbrokA06pDqS4vRwkrHUsXgJ69qcqBb2R6X4+WVCcaW+Zsrlwz/k1NKWBnbJ0848kwApJUpyv52DuEfny3KDMklih0aihh7UW3awrhHB7wFij3F80xR093mm2Cvfjd1bO3GOyJgV1EVGvsZOASFlaCHdiMm1XiglkCdwylyeWYrMpt7NDMQC/APcIa5ees8baTKooFeN5MVESc/sDVZ7cXwXPA+mCS1/Y0uTYcmAlVgVW4/IkO4e29CJvgHiOOetJIjEqdVQSzTD0uGTngJdd61i8nzgWHwqfgQGdiCLwSzK70IGkkCjuA5RLLcrWpZJglUVagbK47KcVCOtWb2lFIVVKsVrB3ul1NeUbvzTXfY08CBTAHwW7KH3i0Rcjq591+4+KSCKVc4q0THsetXJjEyC7S+1IWWz2f+P13fl9VUJ4xlZ5LfTIRReFfTXmmIzuETNWfyLI997Jdy/Omm9HGh6KrUuUGgN3aSh+7p6oBKVLAE8liq8j9p0SfOhzDYaRBzUvlSfkrWmqvEtwfuMWK9mIXllFN6NAL1+o8uYAxq6lxTX1QPK9r+1xy5119pxwN19iFL1EuSrDJE3+IJz+TkThVpRoylJc1wzgMq85cpLQWhdMWumukZXCAdyUYqWMyU05llpjZSsDOge4HSHBURwVKBsn2tHCsbRoLAE/cO4agPrj9/zu+oqv/9eJE8cvdICSYwArXIsiAVM+GJETqiwrsp+N/7zkYSuZjQNOn9PxwDlwx45sZELZ486fdaG7nYMyCu7yXj1FMVW6+4OO8mYGT4ckMuSDn67xV1+YhCAAVUEpTU1Zqsqm4yjIG5y9UmtckUktJ6IkxWRYRgLUIpYobMfsphWStPG36IVU0iKsYeuGkBMLkoef9ImFmzxghHKEJcYTLKOsmcPGjtDUyKqS34hZv23B+6OdW+USYEqdXWsdI+BMS8DKU4gZnz5clBOUV7aift21VcaJm/AWxRBFlvN3Xbbhshe86Et6cf7oJKbzuqofE2tNFLudZ2Vp487yF1izBiWXIWP6O/tZ6XWRACi7J2M1KGXWHqkDtyPaW+ZgKCSJKmlvle/0UNqIStkxSZJVCmbsHeHpiL0nJR/5cg03f8Wxd965n/1+wch4YVn63uVAU5Tf5AAaA4cp14YUcwVd4JlmNa3EJIpEpVo80XznTT0+dXuN3cc9kCFWSAaJhyatF8nOdZJeuCRL/GRQLUkna9NeSDcbK/tsMgWjtCCtky2Z7pbW/Q5rUn/cpAHqyOo8yubj0sQw9rNRcTC68JWkSXn7kyQFeRxbur0ep+dXXhfZI5MaO0DJkGpgidLIO5IgYoER1h0lG2v89+aLXUlzFwAX+bIzYpuVZUlZx8rR12WAuy6STH+XXmdAzqrdMg1eArebyGrSZ2cHKmVQmd+tYpSMUak8SVTMp++us3tfob2lkM77zjtoWPMCCsbfizXPWfF6tAF5xBMvdbBoI1xtiixS+GGkuei8IW94cZcDHwkIEwVCkwhNXwh0ktp3ZIFu5qiUF3xbhMCZDLUCZZ2FCU6aWGtTLZ4ewhYpfgFGOuCbTKaUfPAy2MsryjjYR4mR53yUB5jmjRoxrn84MvSHCZ3uED8YovuhIoxdJ4bvZV9SgLUkGTDz2T5rjTpeWzeN2kHjX3B1ImDt5oZR1s7eZ6ydgT1j7hzoqszkhe5WWRCZbXEiDVoWQ/OVSvC8iIOnFH/0ySYD6ZFN0Cq65tMVpFwDXfoeo3bA175I5DrS0eXITHVT1uBipD4lMZo48QiSmB97c5e/u73GgZMaVARGEwmPvhCopHA0ZDnYHAN5XooKaFuUSltcxlDJlNlTJlepjVhmc5v+HiMFwharx2ozYTVzl8HOVzmFecxC0XIXxxCn4A5jg7GWwFfUKgpdrxhMaKhXDVG+eavT3tZa3C2ZXgwxuqSNA7x8h+be5HhwkRZurcWAZWCLMdbOEimj4DaFRJGjDK5H/O0UzCN+d+mQjsU9HdIODe+7ucmJswEonVqDMpUndsT3zl+Xv/sIS40muniOCzYaMNmibDa3DrPBPXJ0CpZUJLFm89yQH3pjh1/7kE8rcgGBtZKhUc42TLLPYSERFAq7AHnx/2lwlt6F6fym4lkWjo+UtmBwW7p2qWVocwZ/joCzxNom44Yyhr4aOUC6HWG2eawlTgxhZOgN3NEfGvSWuT4tv097MWKp7TGMiqE7RrjaXpkPXind9KVbTZQ/HAWTlTVVBu5xMIwzdwbsgrWLKa05e6cF9wWgS0yuTcroJpcmTo6YklTJGDvOn7WK0EHEJ24JeO/HmwyN5+SJULk8yZuKxyyxEd2dS7JxD2DtC5Wd08IqLIM+S9m73Q6y7GaewjduK/CKjvmRt3TZe8TnA592WhwUiZAMjAs4ZULO4EUBVnaxinW5bFc6UBeSxdqUzUUhERzpuFJXO5L4cTImr0tP8WDKJDeCGcFacmUEamOW5viccWMtYWRZbCWcXDREyqKPLA4QcZ+pRp/lTi1njBG9XZIaqy5Z+QOOA1qMftjx2oTVhTl2TKLYUpCZbtFd3jJQlV0HU5IqGZhLTC6L6sBcd+fPbtbg0jL83ZdrLA8zcDuAe9Jpby1G5cnIqpO5TGstsSV8ly9OmY3IKwvL8oRi60UzVicuJcoojHGbgU34CW9+ZY9P3V1jsaNARmAUEU6Pj1cXjt5yz83kLg9UJIWy+pQs2LQpi+eATn1yY1dfc5mVylq3mhhZHqBv18RS+XlNgiglmGSapFzqQaWRsH5DhL73yTqBbFM3hqWWoDdwXqIpfXc5di7KkqT8nGWs8g8qV4N9VUBWbnvKAVMaESHtiPYurLTVQWU2nKYAdzISYGZBZrbPjS6xt1eLueUrFR54soopaW/X1JDJk9F6k7w1a3wVE4yuaM9J4il75hZaIVHGmyFGGm6tRNnCF48TD21iXnRpyLe+sMdffsYHFYKQWCEYGu0qQwGZBZqiAPW4XMmsQWudXZsxu5KFjLKyVCgm3YyXEea27oa3JQyYjMQytrbPTYbjWrycWxBjp1DippY5khFs3mB54a6YS8+P0d963ZCn9lv+4lMe26cjahXlqvTS3zJS/skYgMc+0LhMGQd2fhNIW0iVMcYWYoy9xSiwCxclfa8sOh0xJmXqmEib6uqSJMkcE1mSKNK5J4EXceCo5EO3NDjd8d1+19INeleCYseGsXhhle4u+85rsPcqBoKRoGmtZuRysGlHuu7d/jnu2W1/sr6e8H3f2uXuJwMOnJEgIkBhkAyELG0i5YCWgTq3Mcs3XJnP82xmeh3KbC7c6wzMmWzJVmL3Z9ns93T0SHklEc7OzIky/3n2OldR7nNnn63E2hmGlBJsnBVcdXHEqSXJofsC9B1PK/YfVpw4JZj0YoSAwFdpQkWMMNIIcMeAvpYcyQCNoLREjurubOnKT3xeX11ibpUBfgzk+Yzs8ddJrr0zFtfZOGAVo2SCTm1B348YJoY/+WiTOx+put42qZ32ltJ17Yhi/kr+WbOVZeycjDN5GediDNyjGczCtSj2eC+Xz5bLaF27mckclcQQS42KNS+7KuSH39bmF/7EZxhLl4Eykjh1VaQRpc/mQD4ywsG6ljRKn8+9F6XYIO2ut2ClTQNMkd8AedCZ3/R2zGkpnyOLYZRERxokRqzmYqpsFjlkuRRPQyWAqaZhx3pBMD3E6i761GmfflszU0+XEWOxxrorWrpgqxiL53g9Bmx35z6HJTgy2GcN9i7tPy/XkifS5t3ebttsU5IopbG/me5OZ1znwaWM8fyY2x7y+NSdNYahB1Wda++cvfPAlpFjLW9/ZFkluzBr03c5bs+HTo6AG6xKGd2M1oonRiKNkyoZ0ONYU63FvPllfW69s88XH1LONkSCkERC088AlH7KopIvZWuZeSy29NlILcIM1OnnlKDS75e9t6k0yYCeXV8rRMrcpWB3TMJm5JhVqrImvooOJVv6NxnGjIHlTpULNleZmKigt0yDnwjONl0tSr5jF+R3x+oimufQ2CMf1q4B6NUsLsp6u+wty5JjkenffD919z7X3vkk1ALYWo0BXRXg1im4fS9ipWu55e4ae05VnDQRriRWZNpbUJogZVeBO/9uuVQTJaB/FX2Sgds61swsudGj2Ft09XCgokZFSoU0CdJooqFm14aIb31Jlwd2+7TCNP1qnB4PUWT7QEhSb3ykjLZYcyw2HfqU3pDSORYqbWkr2DyTKmnCR6Q15DnQBeUREjmL24Lh87igPEslBfNaclDKNADPrOs0VgkjwcKKx8mFKp2oip6oKwZ9Rb3qxghrNVqiOp46X6sVaRzUa7O9OxEZu2dFSiPsLbKgsgB2Ae7MBy+CS5kPZrcjjD0SUGaJnLKLIl2nvCHhLz5T5b2fbGCFdr73CHtTaG+5xuceW25zHVmkvtbGeLn0ocySI/o7Y/LVrWwmS9sbg0kkRjpfXElDlHhIZfiRN/XYf9LjvZ/SRHEBcoNgKCTKZIMkUnCXW9tyUKe6ArcI5PBPQZXVjbt71AFZZv9MZFKlGDGRWYU2L04bBXf5JqD0Z+WVICPVbKaRMGIkVT+MJIOhYqXjzotudWN6/QTI5mcXYxfKxUDjvm+Zjcu6aRTYo1m+EQYvB5Wln2Ued8bsxUy81Psec0xkBm41Jk/G9qxX6d4zToNHeH7E/tOST91ep9v1oKpWs3de811aXUSR4Mlvbla/hq+d5CkYvAT6kmQZKTQyWb1HCegyA7rESKfFpdREUUKjHvOml/f43F1V9p9KL6IbUE0iBP00eS8ECJOC2xZgtzmoU7eENPmTLziZk5Kl7h17qxSsBShHgZ4BW46t8iOqQLhMaIGt9DOl96GUjrnz+y0pbh4h3L1cCwyNmkFXKwGB76GVdJNYvXTMcKm/cUSiZOWh8FXZepzdZaa5xDgD2hF5IvLZd4V7koM7Y25RHsyeOSdmZLsNWZIlUqaOScrkWscMI8Ot99f58qNVNxxceg7gY+ydFXkpIRgJhvObejT9nCFcfC1kjxL6KNBLhzFp9jBzUtKtSJzuNoVMMZJESFQiMUIRDTWvvCLklS/qc+yzHkOTLseuEooYzUCANKVuGCFyAztL/ah8GcoclbRWXJAD3wpRkL1119SKDIhloBcZVZMne4q2MwSurHcEPyJn/Oy/lfvutnTTZXeeyHjKw9M+esf2rSvCRp+bna59mxA2HXlW9DeWB7qXpcRqHW4Lt4QCyGuydw5mSstXBvoSY+fAzoBelI2OOiej+lvl6fek9DpGStepI/2YOx7y+fU/nyCxunBOZNr8Ichb0grGLn2+PH5Ym71HwP3VgD6W7BlP2ZfliiGbepUWY4nCUck1uXTeuDCaODb4fsLPfH+bPcc1dzwoMb5IIeu+QGQUfcqCypZkyRqaPPfCU1xknzcNKDMdLtIbwOSSVeR1KnmckqfzR5sgRiZglWVLzvwWK2yu8d1KUsx1SQxYGyB083Nz67euqCsv297t9xYPBJ78YWuTdJ42+aDKfEcvtVqu5Jud5vJi7Gc5+49WAubBYmm3MJkDtmwBlhI5pYAyL6h6DnCXpYoeSei4XsvjS4Jf/9AEdz9ad5vySNeOhvTQUlCVEEjSTa7s6trtkSNtgM6H5IwOI8pq3qUaa5gu6frivSjd9GNZ3TIZlOYAinGpV/4zC7MzMYG2PPCEz0pfji01Mp8iXlQckttwYtXd+fUsS6Vi3JL0yssRSjd29nfHrdLcHoGxgLtU1Zr+g+xlVvEaxwaLx7ETC9/3yKO792hy/esK+LMm3nxKUimNXpYcOStnKdYRRh/X3sUor1yWlBg8+/3lYeplBpdraO5sh4E1D1UOLNNS2PR14id86OYJ/v4rdWxFgVAOnUIjpBzptyz6G79Kx3yJfViVZitwUf6xZZQbxwHhXo9e0PEOH5POD7Qpc1trihoVIZFGkQiN7Ce8+cY+zxz0ePf7NWEQFwAXAms8hmntjMjy64kzsS22AGV6nS1pdjMdEJ8aQC7YzBg5lS1SjC8IqePC6qBS2MxaFvnNOZJnyTrE0n9jslp3Y/MGdSNdLKk9gzQGaww6jtMTaorxZlntx+qimDHvktLPv2qA+VWAnQK47KiMgD3zu0UK8JL2HmFwmZSclDK4E2Sp9uSLDwb8+WfrDJJ0Cr7IrME0aynsiPZeMzU/LtNWxSBrSJXnYD+bBneZ97wqo4ldVUJrZSmzKUvOilCuMEumxVnSkBhN4Bm+//Vd7n3c54uPOrsw88aRAmM1Q+Pa0fIiknHrMEVqTp5CoMikSQnkWdNDSXNnfyfTz0KCtCUnJT09NkV6+ZyOBOtpbfu4P57NSEzy1c5tU2MM6Ipncn0lcVnD7B+Np+QzoOfRb+nP1nJNRmdFlz6MWAPgZXuwDG5R7OylVulwM+qBj7O3TIoAU0f0hvArfzbBwRMBVhe7JY9o70wijQB7DNCsAeYcwtkJoTgxzwHy8dnqoxnNcvFVWY+vrk0xMq04lGUWV4jEIIRGhoZzN0f8/A+0uPenAzqD9MsYmX+uBM0gz4GXamCzG08CJgW1JXdYVBpQWknalZSCOa1JKZI8pXM4ktEsbMKRBE926spjL4SrcM3O5KheL5qr/UGCtbEbG7Hr3AmklPT7XZYWu1ghRy6DEGtemmKVG/tAmWQpB5VlQI+yeWn07poSxZR88FJfYsrmOXOPuCal3XlTz1vriDiBP/xEg0efrTjPW2bMXTgnnhiVJUqMsrYog32MubN1tjx0cy2+XsXkY85J0QBBUcxki82/RqoNhWPwPOg00oE8kRiRHkkqVYzhygsj3vkdLX7no5OEScrikEeFCYqhybR4qhlKIM8liihlOYXboNeW2VzimmQyiZJOmbW2qIXJAU7qzNlxQhVj5Fk+YaO8Uby2xLGhWq9Q0U1skqBf8MLXEgR1Thx9iicf/ixWBCO0UtaKOdDL//GxXzgO4rJMGXVQRgFdAN6OyZTR/RkL9k4KXV5O6owcaWBZSfjS/QEf+ESDVt9zHmDqeZM26TrnpMhalhNbauRzr9bf+YUZCctE/n4E0muw9iq8jwDdloKsMmunU2EzSVJOAglnIyZSIa1x9Sqxolkx/OBbejz8dMCt9ymoxSlTF0t0bCQDspiiALnFlcaS25bO805jVZdVzCSMKUCcyZdMllrIKw1zsCdjZJFajek9NYa3Vady5Ae9fsQbrr2aF11zOa12Bw0eCB+39arbRq/8X8lO7lcHfKntfw39PQ7ssiUoxmVJSZIU+rvYYdcBPBn1u6WzAmW+r7oLLKWMkTrm2cOaP/pYk/2LvrOGUr/bPcuCvUtZ2xGQryVPRqTJ2hWXaz4yWTtWi1KweJFYKZyHtdL4Y0OCskIsa/JNZUUmVYRFSI2MLDunY37srR0On9bsOyGwuiywBEiPJAU5YyAnTQKpnNFSvxtSFhd5oJnJ2ZzFS9IlMx2yupUibV+WJmucQjF23rJVr/THxoLvKyoVjzDy0O6kOH9VSEslSPJ/XOyJUjDIcz1yoI/oqhLAy/ZVSZ6MMHcqVVQqQwo2N7kWV8q4RM+qZE4BdKUSpIzxg5jTLcGvvL/Jp26rYT1VpONTabIWe6vSDbjaORkNsMeTOuPSjdLfW5N5xsCe/Wx1TUpZh2eALgegWeePTB2G7HUafCaGGIMnnavSGkre9duKMysCgjLdCiw6Z/JCnqQ3WvacsraSuOI8kUmWLPFTFFvlQWZJupStzLx9zY6CvcwH+XnJTln5/KQEIEj3GJLFyA7taYHnBadrFfuFzRvqr4nDFsaqtN6hPAySYqzAGI0XOrxsGZYZuwByocfHak5yNjcjzkl562hVqhhUImNrl6mUqWviXrtakxDDp++p86UHa2mtSWYJypTBM/Yudg0uzxssL6OrymJLWpzSn43TTg7+VespI6vi6tkh2fbVRZVeudJQpm5KvnekEAiRJn5SZ0VKmV5Lg5ESYV3FYaAtr37hgDfc0OOvPicJY+HSttmHl2DxiK1gkHYGZ0VNTqYUgac1bmSzTZm9uE9cQZYsVSVmQ4EyZhcUjkqOm5REx2O/kdodS7EhsSnqdcIoYW5mmigRX6gE/umWkKj/9Ru/x0+98+KVRi1aqfjd744Gp9xyNrJbwOqjDFJRZuM8yZOBtEhQ5JWAI4mdYg/G0fdlK9COgLvM3OWOeJ2CW+uYRBpuvrPK//jTCQ6dDtImhiKhg9QIKQgkVKQbZK/TMXDZbPEimVOMhnP2YTHwKJ9yK0BKSb6tihgd0u8GKcnRxE25mK18lAPachlD6dyXu5/clAJbAGbVdSpWFZGu49PNhIvOizl2VrHvqHYJn/xuLO7WzAEpxl88x7I0soyN058Yub/t2DH+h4VkKysImztLiS3NQUkgMhDFgsVOwpYdO/FrUz9xx0MH7v/uN7/U7dFzYr6DkBGm38PzIqSKiRJJkljiRCKSdCZHxuKlrJRIP1Vm2YwGl8UeLUWa344lfGzO0KP+dypTVOGayJIUycAtSwFlZgl6XsKhBckHPllnz4EAGiqXJC6x47R3Jk3yPktKoMkAxHPc5LIU7acXuHzJx2tR3PvyGWONiy5ww+hL7F5yUWSe8RtN37s6aLfrcOaNi5zZZYpX46ZeWeeNR0PLhTsjvv/NHR580ufwfGmpyoNOJ0NiBAPhgkvSEW7WlOtQCl2e16iMqh6XrpeQjZ4on8uczbNkTx5c2tHzU6rPcROthAO5gSgRDBPwKwMmJtooLwTSTajODq4CUUMOFE1zjMCLkFISCYUbPSqJ0/KyQpeX5hSOB5aUAL5GMFkEmuXKQTtiAwppnQzJ9bihKJwqyZL8Zyl7q4SljuD3/qrJ7Y9WiirBLGOZgltJ0h2Ky2OQC39fiTILrrYF1wL+uAX+9T5GJhaM68wSyJ1kEUUthkkZNgN/KdMphRvaJIw710aotOFAudtIGJKe4cYrhvyHd7T55T+bZLmfATsV1NnIEKOJpcgdlAzkGAdkMsCnZJHXaZeaeS0gkky6pC2LqbsiSoC3pWBz/BxZiklW2bi2MIbQCMIY6hXFa1+8ge94w3ksrwz4uX+XGqHS286Sd9Wts/Wzvz7ZlFQrfapBiO8laadMBkSTB4liLMtYLKWjVp9SmY1XzNbLKwNL/43s7xVuyVhXzqrqwOx1PJLQGUjLn3yyzvs/0aATea6QKmPu1DVxs/sK52SkqIriBI9nL0eYek0wj865/nqQPt5dnwM5+7NVrsHonvMj3rgda3NL68az9rZsgKexxR6cDQ0//JYOP/LmDlUTg0nAZs8RmBhsjDWW2MLQwNAIovSIrSAyuFnmVhBnk6bS+YH5e1OWF+lcwTENPfLalrc6H3OP0pUrSmCYCDqhYHEgGMoa9z/e/vVm7dpbt23akC1CcOO123n17Pf1zln/zKFmc5laZYl6rY/vxflyXVwsm1+70ezkmIddBrBg9H0WOI60lhWMXbYAZQZolaQyJkvkjDK3lDF4hmcOeHz41hrtKJ2MSQbszPd2iSxPlINKW+ja9POumaks61gK1l6Vmi/9m68H6UW72phlSDGAsjzptxhMOZbRzHcwHu36KQCvsGl7m7FuXHYcKRra8l2v7nLR+UNkEuegHgV7UoDcQmggSsEdp8B2YBbEtrzvfQry9GcZiJN823CRs3IxQWD1cwl6+U1vLPRjweIQ+lGP2Pa444kThy77tp/pCXEhUNqr/lDvx5hoVPmDT91Gb+lz/PTb+1S8gG4/yH1WZxOWh5Wv4ZqU9PZoEFr2wzNZUl4dSq5JyfcuS5PcHlwjFa+9hCcOerzz16Z4cl+A9WQhS3IGlyVb0OaDfMZ3aljLGlxLpowkdkqBWNnE/brkih19OeqLj9uFzkFw9R7uukhbSBYj0sIjK93Sby3GyvTvuAlZwjhvPME6aze0XH5exHvetcIP/0/Bk/vT4ERmH0YUy4nRxKmeNgb8sn2YtbSlEiVbFW1JwmSJoEwFyfQGl9aRS1YGkDlz4+5TOZsM0I8g8Lr8p7ce5q2vuxHRfCOYHhfd/OsFgwNItQWpt+CJDdxyzyYe3ucRJYIwdC1PSSLzudXO1SmBe6zFTOSaebyuO2XeEmuXQayeS5qsAe7MDnTgNnSs5I8/Weex3QGJKrG2KOpNoGQLjoC6VB5QYuXxuYOrxkKMgL24AF+l/GRNeTKC8VIWc5zVVzP7aslS3m8zm0yb1afYsclYzkJ0O0eIRHLlRUP+3Zu6NGRqT6zB4u5wGwWHKZtHKWvHKVvHtpAsmQzJRh0nY2y+itXHpEn21ctEo9LNxQINvkq4fleX119Tp17Zyo5Nm9m6YXN+XnMGn2p41GvB/usvqh945omZnX/3ZUtwUwUtfeKk/AvcXW8pdeSsYmZbJHRKWUr3d03B1uV/k3rbohRoqiw7OR5cigSVHtpL6Bn4wKfqfOxLdYYZmMeYG+Esuryg6jnY+6tWCooSs5RfZxbaKnvsa3P42k6Kezeuww3ko4zLjF5IFjdbUgiZs7qwApHWqAgrXSuYte61SYNO60Zm+8Ly1lf22H1E84FPNuhGuBOW9j/mz46nSYzMA8ksVW9I9xlKzy2loDLbf7PM5rL03SWuVS37YfZnsnSus2vjK1cMOtm0vPE6wZnlHXTUugNzOyr7h3GSn9Os44ff+q3f5D/88IsPnL/dX3f45NLLj5+IaFYbOOfE/dcLLbrGJKqRisByDbcdZfKR92n5qypXCNo1NLgZAXcuS3RMN4I/+4c6//P9E5xZ8kvdOVm2Mnsv0cI1MvgjjQxZir7cfJF59mNpezm6F+T4Fiv5pgCyOET5Z6Jo5h5p5C7dWOUZjbmnLcentI5WZJaDYiFLf57ddCPu1liWmfTnaUnAZDPh6otD2j3B0we0SwKN3Kt25C63CBf05QgZu8FFGmOUai3tV7npxbi8E8X3yppDPC0IPEGzJtgy67F1vSZS6znWPu8PH3vm8PtuvOGq1QwOMDMVU51Rn0kS88ZGoK5YaoHvKZpVxx+5HMmqzUpMXfa0Rxi65MCMs3yhwUeZu9DhyXOCW6kEWbH8/Wdq/Or7mpxe8txtvYq9RzOWnigBWYzts5Oe1LW97/INXmLw0uUU4z/8Rz7KXm/2A5tVKzHO3KUhmWm201jhttEWRWAqbOGJC5GxNumzTEHvWByjiULLxqmEn/vBNottyV/f0oBKxuBijMndwyCJcNraL2lxm7K5SkuvM89cZnfjqjUsZWyTanyRziTPAC+z3TMg8AT1qmKyoYEGQaAfW2xXPuPL0f+eLL+pzX0HP/Guh+7utHhoouEDbk5hbAr/O7+gomDzVQ0KZRtQlICbd+c8B0OLsr/93OCWMkEFhv3HNX95S51T834BbjF2SIlINXfmnOg0MTHeqVNuhM7BzAhhFeySnoARz/brUyXPcVnH/rzkfZuyLCnfCJQ0uVnLVSkGBtms5sjK3HExqWWYTarNHJY4lGycTXjHt/TYuTWEMNPemcOSuOfstTVYWzgsQyMILUTpEdtUo9tRO7F4T36UbcLy9y1fApkCXaX7B3UHPipRD11Svf3ud/3Aq0fOox4/sZdfsgMhBCeOHUTRdR3uY1etaDAuB5VlBrZjf1b+uRm5KcSIa5LkzC5K2rsAd3r4hgMnNf/Peya57eGK0x0jXncZ5M7zzsZAaLlaa68pFcp/p9TZ9FyVhJkAH7kxxv++YE2XJLt85b1wVo10y/zxLMmW+t6ZOyKsSMdcry7KEjhQCSPTJJFEGBDCIIxMi54sU7cuYgAAL61JREFUiVVgnPAwA8tNVw/4pXe2+G/vmeDgKd8xBCmTCzvG5gqLIKbwqW26Ymbs7ZofbO6sYIo/cye4uO1FGjSLPIk1zg4ubugNEnphBV3bjjGG8ccqgL/2NTehlAq/8qWbWTi9H98rzSop2WWrWsrG+idFDtpCihS2oRn7eSlNL0rAlsnY+xjlGQ6f1fz3P57gY7fWCEXaHZ0zdhnkbhCNFuU67zW23xZ2lSRhDXDmAC79nbJe/KrEXf7DMfrOAC8ogsqRv5eV0OaOymidOBnoRzKbRSOENKlWFiIHtLMVU8AbW1p8nGSJDVR0zNte1SMx8N/+cIIjZwV4JeiYJAW5TQGvAXdTRYJ0VorApMXYiiyItqjU5lQp6LOygBzkaVQtSpnasjeeJBDFlm4/plKb4YXX3hjGScL4YxXAZ2dnqVRqP33xBVsu3pMcvbHf66d7wo962rnWHgNx2fobZ+2yNh9h7jwl75jbuSnlxE5WRJVwZN7jZ35/gk98sUYo0/kWYq2jnLEsDa9PZeSa0oTRAHrEMRkB/Chbr6Ltf8JjHNfluvDVafsUiqUCJGFHbcPsZ6KkxZ0OL4NcpnXeGcAduLOG4ji2eDrhu17bRyv42d+f5MhZn3QO8+qb1dj83Ge63GR+fUoyWaWhSa9HNj8FU7TFIa1bYdL+TiNGwZ1ZisMwQVRrzKzb9pVNmzf/dKvVWXVe5fgPqtU6D95/azs0lT2D0Ess2XzC0fENuUuSsm42ANMVQJW738vNC+WUe7mmZA1wj6TkY6RKOLmk+Lk/nOATt64B7lW2YDp1VI526azF3vmqVJIvwJgUGfO/1yTn0f7Bfwy6xwPMcV+8+KFzLcp6O5M7htEh+tlcwyITWppzmGnzbAxcKaVv00ynsYo4lugE3vqqPv/jnS02zkQlT3zcH88Ok+pyp7MHJs1+2kKbJyVtnhVO5VsCpmn8PMWfvU8gMTb1zV1ZxFQzSNbNNfZ87gtfbk9ONr82wElPXq/XfafUjSeslUjp9ngvGnttuoFTVrpaBnM6j2TE3itAnQO6VHNSBnOeyBGlzhxlSDzB+25u8LHP1whVGdB67LkEbrE6Yzmuu0d1dQHQtcZDlP3vtfR1sRmX+MfiezSbuSqpM+p7lxNAeYKH1Qxe7vop7zVpTQpmWxr9ZkUO8iTrB8iAnkh0Ynnba3v84Bu76CRxaLNxUa9iSil+GxdgNy5GCE1RxxIa4VL9Jk0SGZG/zkCdgbxcAlCk/93KoJVkavL/be/L4+Q46nu/VdXdc+6t1UraXUmrYyXZsuUD2QJbSPjABNvBPAQJhyEQeC+BcB8vjsMLIQnPkBdISGICwYTgvJcPwYCDMWCbw9jGjm0MNhaWrdOrW9rVas85+qh6f9TRVT2zq8MSsklKn9HM9PT29HR/+9ff+v6u0pPTU9PvnOnG2RTgF627EuAi6e1bLIKAWA1ThQJ6tnOCXY/bTiVzLbYDeItj23mUdvKCBDwHPIJ7Hizgq/cUUaeqcAu1AW1Zb6TUJO2rYwEaNtBTvdjpt0MyILcstc21bUDrFRrCZI8H3NaKDk2xrHqDaqKyBhoiDoVOTrGAzYlr1TOgt4OxpAVX4NbWnEuQ57jAb11ZweUvroJolGlLrh822Lm25nK+EClLXssoLaFI41ki7Q1NgDhJX0s1TwZYhbFAFAtwUAwMDIharZ5cdeVlTY+vN9OBP2fNxYij2ld59elBEe0vOd3LaApmbbFZJn7EVk+InlgavZw7HJxA/03KuylJQD0O4gHffiCPj/xtG7bsyqmE4SbANu9TasIaJpZugJhbDkI4gE4x6zpZsrzFcd1nQH1McGeUgUZ6YmngsCeWGU1cZ7A7CcrCeeYOHwfAqXHwcBAQpAqLnNwJcM7kxJcARAiIBFi9JMKn3zeBDzPgOw8UJR9nM/1S7X/VpF1KlBGRzd48nkZ1JgTwlGESkLxbQHlGrawgecHKnq7z5ndOr7t47VeLxfyMx5jO9EHnnAUiqTz22eXL+460lSvI+Ylsea16TXqe24rPbvCU1ibJhrZaFtpMRJMU3Hp9Iu8IxAO+dX8Bf/h3rdjyrAJ3g9btUhNC1aQSVmcGzb+RBfUsdKOZqoLGhz2yevisWreYZXk2+CqT9G1nuqTLLJc90MC9jS5u83GbewsrTsUKteWCqk7LypKHFKsWRfjkH0zgmvUVyR+a8nCbqthcnUNwFcvCJT+vcoJ6QhR9gaEwYSItdpQQ+Yhlu+56TDA8JdA7MHjkzvuf+uzC/t4ZD/WMFhwAWrtWI6xPYHj/z0CSikzp8hQlMRk1wqEkxLbSynLbUYU6plx+rqy4ei0nmZqWAN96oIA/+vtW/HJHILXuJh5KY7nhOnSy5R/skg/ZFLBZwW5jNiMhNgketNA+Q2eHJoDO5rgaa63fWzTEFMs369nWPNXEZSfirDXXUYbc9XKqYiZSe5ZxKlzJM4QI3VDeRMkgFFg9EOET75qAEMCdxpLblyWVCwQgJRG1TOhUKMX3laISQyqEPiEIhDyHCbWdPmn1L0IE5rSXcfH5g+jqbJ318M4KcJZbWI+mt/6el1/8tWr1qVLgS3D7Xmyi/lK3Om+gJMaNj9TpQyDd8gQa1EJRk8TIh/AIvvNgHjf8bSueenYGLyUy1lvlRbrZ8ZJzm2AwuNa7gZI4E8YMmLNgh5v4oK+A7DrHgW8DYvu9AbZQm1HgFvqfaEJZkCoqqZUXhpZImdACu5YNLcsuqYv6DVRq5KAAEUymLEpkgIQxzhmI8Ml3T4AL4LsPFmDiHITSxQksYIvUIIEooMuCQ4JIoCeCICaSl2ugxwTwleoi1LkMCMe5K3qnywH9vbOXzKufNMCj+hhv7Rh4FKATE6M7SoE/iVwQKQvuqiHGClvWWtaSk2CHBfb0AtBcXXsrBTij+N5/5PHhv2nFll0a3JalNoCmDripsd5uClpjnHc2gbeJowca7CQDduJYeQ1lA/iZeEtmWYaFWB8QY66zobTupNMCt30xcGsTKo+TIAW6o5HrGoeKi2t0EqqtuLT2+ouJkAaC89QZhDDB2Ysj/OV7JiAEwT0P5U2MecqpBEzhcKgdJJKPpxYkBb4gFBEIYkJQ54BPJdAD5dqHANrbA/z2dRsnVq1Y/OjhI+Mcs4xZAZ4vzYXneSN0vLZp0ZLBe5Op7/u+z1IQmxgTnqazIbXiANSzrtZvUxhpuQ3IGcApxQ9/msMHPt2KZ3bb4FaTFENJlF9MZf8SIOPQsWubZKLubOsNNLXkLsgblxnsZtazl5/oEJmHWW4tbHBwwrLUxL4AhOv8IWlgFlcF73VicrOYcqiwWlm7UICAgkNacgoBIRiMVzzkOGtRhM+8fxx/EAP3/jSPhGhQq70UerKpw9lk7KGqtqkOnmXdCYUgslNzIqSsSEHgxcBYEuIVl62NKvV4U2dH60hbS3HW40pn+9D3fYj4KXTN69vnty3ZuX+MIR9MIh/U4fshAi+C74Xw/ToCFiLwQvheCMYi86CqXR/VEYAmYCpOJ51MgDOCex7J4d1/2YatQwFMmamMBNjIv2E0b0/RENdq297LZtZ7JsrSWHatKaBt4GevgHSVY4K7mfveeCyR5dvE8PGslMi1jJiRDAXs/E1bRoTl6LGcQ1y/15NNJRva2rmSD0VIMLgwwt99aByXX1QD47aEmLgBWraUKCJAhACPAB4CSQ3gdfmcVNUjBE8ixHGEWn0aa1dHeOlLFu+c17t434OP74Ln+7Me21kBDgCEUjz5xJ1DR8bq71jQdw5y/jQ8FiPwQuSDGsqlKsrFGoqlGgrFGorFOvK5OnwvgudF8FikHDYRKFGOG5Io6y1AfALuEfzg0Tze91dt2LongGiqltgg158TJ0NHPxo7Emfd8bZlFu4yC5ENtCUD8kbwCmc9+fnM8BYNL9Rb+w5vLzPfKFLgc3edFNzuxeAmJ9t6OHUdQZZ6ku3sJi8SC/CWswghMNgf4a8/MI6Xra2BJsqToz2bPKuwRBLYSQQkIRCGMv+sUgeqdaBSA6o1IKoq4IdAdRoXrFiJtvzkO5588o4hxo4J39kpCgAQtgpCTABoOZBMB/dXDj65nvBxlAohalGMn+1gqMfS4gl1QhfN5eibG5t+4DxOT5Bt7WhAsHuE4aHHA3zs8y3YOqTATbKPrEte9SNQdCQggIc0B1CDmTnUpElygBP831wqTA9EyrFNUU2brli/jdi/FY2vZwK7seRqQ8Li4ym3djk4SIamCCFBz1KrLyeT+q7g6uOSuxNwnR1JtdYs48cFh6qsBVnoU/8QFWRFqDCZRDQWWLkowmc/OIE/+bzAw4/nsPsIk7NEfYR0cLeAItXyyuybm2DRXCtYihDUI4LNu3Oo1fIAC9Dd04nlyy+4/4oNlx04dGQa8+aUjwnw42aLE8M/BmGlTdHEfV87vO92PLiFYsuQjx88ksd0NW0GSgBcsCrEmsEQc1oTrL8gxJLeBDQRqRUiBDQAtu718KlbyrjjgTyGxxhEM1ri6N1WZryy1gGVResN/9aZOjqxQXNyU5Y507WYpsucZ6t6VdpqRGfjuJk8TGfzUKtFCXWzeJxlVuaQzlKxW8Bks4qaPmerhTG7tkwmi0oVUDKxQzMWN02s9xxuSEWSWZ6GMdvOOUIF4APDYwx3PJjHp77Ygm17PSCwzIAAGBcY6I1x6QV1zGlNcN5ghAtXRUYCJSCYrlLc83AOv9ydx3cfbserr7gCr/+N8187Nlm97TVXv+S4cHtMC26GvwqCdj3a2jF6+6137bvuj2/ej8npwJq+61kyx9N78vh/dyVoLydYOxji3W+cwivW1+ELFWGZE9i+18PHP9eCr9+TRy1h0gybCWXz6MBUTUl5t13+weXbsGRBq075DMtc6pHyD22ZSXbmaFOapkL4yY+swtLombQmlXDlRENJIAtbmnVVfDaHNflUujcg466Fqk5rZDwBEMGVRafQWfZECPVeNHAoKhKQWKCnM8GbXllFzgf+9O/L2LHPg9T9ZMTtVS+t4T1vmMba5SHayzJkUBCqHFRKUeEE5y2OMDwWYv0FK+C3rrh9w0VnPbp/eOy4j+VxA7y1fS7qlS1DrLD2vT/fuYPlirh2StQhoPgVFN/i6cRirBrj+48wPDtCcdfDdbzv9RUsWxxjx5CPj32uhK9/P4+aoBLcWjoy8lGGolBm4JROKqV3UjdrNbUDM6qJw70pXBqSfSZpkXaN3WZqSoOiYn1+3GgX7qrCbCmVADVAbeA3SowW59YOHpX25cSxcKje8qnkQkTaJgXGSZQJ3OLK+Gj5kFP1Vu+nMI4pIaQV43Ug5wtsuqIGCOBjnytj5xDD0oEY7//tCq5cV8fyxRFQJ4jrHpKEIeFeGgMDOZGNEwZCyrjmJXPvGPbWvnfrnqHdZy1ffuoBDgC54irc9p2Hd296+cWbR0emr/3+T3ehRgNwk+rNAZrICYFCgqARtu3xsWsPw97DFB94QwW3fKOA2+7Ooy4USg1yNPpYBvDWM5EOs6y3sqHkMdLgqkZ+LQxodWpgMynQyb3MyCYO584a9xO05qlikuHh1rNdAQtGRclcCLbFtr2haplMoMnq4q5Cw7kyLpRnwMxVUJY6Fdriq7LbQggjR5qJSCxQ8Dhed1UNXABf/EYBH3xjBddsqMETHLxGECcMSeIjSQLEiWeCvgBZqKhWoxDBCnR0Xra5yB/e3TFv/Qkd2xMCOACsXDIPy5f0ffKpLduXhNGh37r3qSoE9+BRWXQ95ExNWCABjwSgCagAxicpNm/38MR2D/VYWe5UjbaeLUBTVxK0cysbqIkl/TlyIFzKAjTGfTfzYjoUBGgAtoP75zo0oB2LnQYaGXCTLKCzbnkYc236xwMmeVdliVm6uGzgZABu6IrybEJeUKTBksugLEq1p5SqC0qJmoIDhIMnBLm8wLnLYqxeFqOtLKxYdEBwD0niI4rlQ4JcJtjESYz94/Mxv3flV9u6L/xkZWLPCR/WY+ssmbF65SL869fvGm9rXfW2d/63iQf62hK0Mo4un6Mr4Gj1AY+pCaE6GyUq8DuvquLfbhrDG66p4dUbLO9qg4yRUVAsy63Tz3xiB05Z3kpk5EHtYKIp6AHhUhYHtKTBgjeAPUtfZgB5M8fQjKOJa9PJrIdtwYlr7ZtsxnEAqZW4vng4HPphx4lzbkmHqkiQ093NbJMa2TDVylVLFWXBZYAYMRfuN3+cw79+u4DX3dCGL32rgKq6EwgBxJwhjAPU6nlUanlU63mEkY+xioev3Ft4YPHylW979um7xkttA6cf4ADwO69/JS48t17pWfi74YKOLnQXYnQVOTrzAp2BQMGDBGUMlGiCt/zmNG76/Ql0tyRoL3C8cn0dL1oVAZFtwS3rnQW7kuU8Im85acGeJt5KZGK9SXpvAEkteAOvtgCplwNZMNuxJsR9Js2bT82E72zGeDOcu0FYblUDST0s7t3EEWQ/AG2RXR3cdgqZC4PreHOdMEEVeNVDZ+lzakBtnjW4NcA8gUee8vHd+3MYr1KMTDDccHMLvnxHCVUBeL4ABEUY+piu5TA5ncf4VAFHxwvwvT588G2/He7Yk1QGVl19MlA9cYqix6L+FeCcP/Laqy548Z3fu68QxxHiRMCvEkzGDJOcY1lPFddeOo4b3zqJjpIAjwSoEFg1EGHDxXU8tj2QLEZ3M3KAnWbFQ1ER3YlB691pQFWjM6d5fUFhvsZWThpS1Jot15Y7c4E0Q3BzDj67KXdrobgTS/PeBqzjnidyIdEXgm41kno3idB9caDUFj1tIuBUmGAsY/I4AaGqjgpk1wjdsIow1/pr176hKkSVASIAjwnufTjAlp2+UQHGJj38yRfaUYsIrr0kxPwWjjjxMFXJY7KSQxgR+J6HgQWXVhctXPEIISdlh58bwLu7WjA1NX3j6171UnHk0O73b926Lc/BQMc49k7EuGjFOP70zUew/pwQAfMQhkJFsiUol2X1pK4WjpEJllbfyU4ole1lxPZUatUkY73hJjNknTpmMmkB1sYdJc2iA5sDk8y2wEwOj5+dm9Uzqkr6YQpos9gCOohNS4S5GJAFM0k5upQL9Z1AyoM6EBDEKkuhIhfl5FOCO5UMheLeehKaUhMdPDgySfH4Fh/TUwwoKjWMURypENz4+TzufrCCG66vYmCuwNhkHodG86jWEixctLQ2b+HL/prD/+PAL50sTNMI3pMZn/jEJ8S6dZfe39aSY11t4sUdpSoDGHrmVPCeVx/FhjVAkuQQxT4A2WGXQDobCjngp08F2LUvkOk3ZkKpG7RK623Sz1TysEdlm5HUiZOpL+iUVnNjUuzyX9k2IUQlS5CGbZCG18Q4dlJZUZdpk9tMX2vqQp33WVWncWKcLrdkS3P3sbfhRjjafyej/qwJchMaZocCa4+vsC5ax3tr372c77MbHlgNDfwED20O8A+3l3G0omq1Ux+gecArIBFFPHuwjN3DHjrLORwYbsUvdxIUSvPCnnn9nxw/OvJniwbOip8LRk/aguvR0yVCP+i7aX7XRLh/396PT1ZBz59bwoL2Odh/uI5cECLnhwj8EL4UqeAlCXrnJOjptAIpNFPWEWXqKNox3qZRFBrLHUtmIxrA3QxMemTpSHZC2WjN9TLibMP+LEPZT2g0iyYEUopCm6yX0pksTeGmI5qaWyvFBabTMFe+Od0/Xkcgmu8EVAobV9Kgm/oG1f5bx5NLe8/TWw0BDo1S7B/RUaEeQAKA5cE8H2UPaPEEDh/y8ePHfMzrinCkHvB5XufHmd/56V37xsPnis+TJzdqrN/4Khw6eriKQt/th+pni0e2VDAxFWDvoXaMjpdQqeVRjwJEiY8k8Uy5sDiR2dHy6OuJpa2gSMvEFO+2OxDbsSbZBOKsMkIBwOLeZDbQZ6kGrHhwkJR9ZP5mZjaiJ6DutrMZPA3DchC62fZpknG2nIRTAavZpBPuxDObmW/4uqWcNE1QVknJgrvRh44KYyaasryax/S5lRacMB8lD+gKBOaXORZ1ErTkGS5adRTvuX6puHz9otvb2ieqr/+tVz9XeD53Cw4AMVuKJNezbd781ndefUXhc5UjT9FKnaAeeQgjD4HPZH1xRs2kJD1TcCeXSAGeZsanqok3A7hdOpKZXKIR+FmKnbXcziQT6R+5FnuGK4M0Lp0Fywq8gHMFYSZLDWuCmXJux8ljT1RtnVxfAIDi15alti05VzXZ9BMlytpTgHD5u600N12SWSjnj76gnPNrzisDowQFKpD3BHI+kAsEPAbM7b2Mn71y4J35toXbkBw5FdB87hYcAF7zijXobZsI33DdJbcMLip9cFF/J2SVOn129MQjfU5v4batTS24XQ02W9fEKSNn0RGWoQg2P8yCHg7gibsrFjodzmqfL3e12SeexxhNs3cyFtpe11kHsCQX4qybejz138xk1VN5T4fVuq1PrNYowiqob2voVtitECr30vo+c1AIMa48PephDC/XhqFDpQ/m2zbccmAfQuKtPRXQPDUAB4CzVg3i6OjhZMPGq3a8aO2LJ7s6Swi8OgJfJjrYnhJCdCWjZqGxVvIwFU0mktlJpXBVkhmsuMZcwwUAeyLVyNOzQNVWuyk/b7L+bEC3gU2QAQJSKmKa72ZFc2QsPCwrrXVts52ZNXNug94uGuSA3KIiduy4ToLgWgtPs/QhiGow5nIyDlkEqBYTTNcSFEttuPSSSyZ/46qrdhw4eChZ0LfkVMHy1AEcAHL5AiifvGPx0vPftWL1xtHW1jzyuSn4XgRKuDFLzOd4+Gkfj2/zldl1dW87mMqkoFEL3HoCSdO4E4JmwM7Ee1vwIRk0Z62znY/ZANTMBTPL9XDcQ8ywsBHTqZXOgr7p5BQpLZHrZB1CynrzbMc24ljyRJfQdppbSSuemGJB1AG9SCjOWxZj3cpQps2rgxMLYDIBRqoxcuU2/ObVl4++ZN2F7xoenbyjWCicSkieWoCXSq0otfUi8Pit/UvWfyjffcXwaLXF0khl1amEA7/Y4WHosC/rC1rhsYTI7sM6xrshvpu6ltspYG+9NjUHs1TDQmQzHu4sR7o8ezfIruhs11rpeIu42Y6ebDZP08mkZeUbMuoz2zN3AkGszdmZPjATQ95gyTMgtzu3WdWw0hJw2qIzxDHDoh6Oc5aGMrRWtQWXFCXB6sEAb3/zS4evvmr9h+oxuXXpQB/a29tOJSRPLcD1YEE7fr4j+adx8oobamTj8NhkC8LIgxAEnscxdIDgJz/LI4qy/XRkB7SAqNbaVDgW3FCTWcBNMuB2Jo32w+bhpAm4Z8Glw9vNusRuzHvMbZiRjUEh2diTJtKhs4BkNuVa+GbAd9UYnYPpAjulIhmQC5kIzPUzt8q+WfxcKmUMgUdwyQV1DMwPgUTq8mUm0FcCXn/Z6uHffc1FN7S3Tv7TvO7Z65uc7DgtAAeACwZbUKr96JY57d0fobklo2Ek47kZTfCTJ3z8+GdFgHnyoeqbMCrr+xjdm8D00TEgpxkOblGWhgx6WNQkM7l04CEyUMkqKqQxRa2Ztc7y8RPBtxZQmvFs/Tor6dkTSGQviMwE1QDdWiwlvcbubA0Ph3PLtu48cesZ2kBPVEJywhnixMOGC+p4yZppQCQgQiBPEpw32Dua87s/8qVbH7qFkLmnC4anD+AAsOLcq1EMjnyl3Nr/bq+wbNJjEXYcAG69uw1jUwXZJkuBm1CCgOgGUUr7tqy4Z9KtgGyPnZSSuBPOLFdG5tmu820GyagqsP+QNKzb8PmMsoo7skFVDrizqop2Lc7wOZr+PTHqikNNrKx6o3ABjuW21ZGEUyQJMU1bEwNiolpLUmc5VyXeZKk3D2HdR0eR4fqXT2PZgimIeoS1Z/dPLl/S9+59I5Wv/O6brz2dEDw1OvjsJ5JysDlfzZWieOdw5Ssf/9Lu3I83dwBFkYr/hMEjQJ4K02pEUxRm8W/joYRNSdSN2ZH9kFphi5ccU+DIANa5AwhrO9lJa/aCalBemh4Y5/ucICiivY4yCMrEmpiHrnCVPsOJHJdfoDGsFRoCmAhWvQv6YpBbkZ9wIffZRLuq/TGJDVTGuqbl+an5+fKYcVAue6sCDJXpAi45C/jo9RP43pOraz1d898+f07b18cr1VmL9pyKcdoBvnDlWzA6djhpLRceHBUHJgn7OsrFXbnRiuYFFJTKiWWOKnATyzVvWoFb6glSfTsLZgejWQt+TF7t/h0y20ppD5nxO04ku8fyrKfvm6xvrLjmMdb6dkAVIVaw1YxfCnNBaPCaaC8BCCF5sr6wCIFx7RMB2bVYbUiYWw9JfysRIJyBcg5GUy384JE81q05p9a1YN6bPvyvc27f1DGc/Nn73/LcAXaMcdoBDgBBoRuM4UBrx/Jz3nJNef3CrtYvf/ar+4oIcgAN4BOgwARyTFpuX1lubcFNviVtIvvNAOqZ3jcdjgLiLiez/ImRGB3CrWkPmfWC0kODV39vNh5FAJYVd9uakGYbUwfFxKDM+t0qe0eBXKj9NiU+FLqlZCqBz4UAU57otF2gq8wQAIxygMgiUIEXYs/kysr+8UW/88ZNb/7GRSu+IeYuPf3gBk4zB9ejnCMghCQjuz5z8NW/6X2tQgfevnFd7/jCudMIWIQCBYoa4CwTMUhljyn7vdOwNaOi6GErJiczHKHPVlmaXliZTKCT/M5sjImdudPg2ZxpMnoi32ecPikfd/k3AU9s7i15d2we8n2i6EgcM8QJQxRLDh7FCfaNAKPVleNrz57/9jdu+oev/fWXbxVzl15/kkfoxMfJnouTHm/88M34l0/lMLlfvPmBzdOf/ujNe7sO7q+grUjTWiXKYmuKot8bjVvtuVEerBOGzDKbdtjWX14UxITQUueZwK6FIsMBiPOZDot1l+nQWJjwWztMNg2rtfV6N+SgMVxXNH9vjovdLt16T7njL9DNw9JjkM5dGo6fxXHSO4XVXdnUblG1VkxXD61icRSCGmguwEO71h55es/8DzzyTNtXvvvn/wF/7kd/pXj7lQNcj217xhD43tvuvPsnN33r2z/sHhmdgMy0lAc9a8WdFiPWiXH04oxEZktwQCOoNPic1tpNAE7N96siPg5gAWIV+HFjuN0Y8CzAm4I8A3TZktGSQ2cCdDOAWwYj7U3aCG73TpFq4tljaMd862JDngY4k0VXIQjCSMAL2rB01YbhOf2X/iEQf+l0SoGzjV8JB282lve3ozI9/aW3blpP5pTJ//7Kv32/e/+hCRDGQKDKIasWmE58tzozthKgq6nK+IlGD2BWOdCWvxmPbSiZbLbluu7ToC2rSKeemDVsM7NMOJvNzh3T18rTqDuEOEFWNuc3s9XG0TAhR6PlNvtih7zy1GCYbZmLV4ByQHABeLoEtpQZ4zgBWBe6+q4abum+5IZaDV8qnGL3+4mMMwZwACiWSpiYnL7l8o0XxxzsM7fdcV/Hlp0j8JlAISDwPcCjpDF5ATCo0J42cFnNSS+3LXr2XKagajpVc0aW2jhqjP0++7m1v4D7Nc63isxFp/dfS3wiGxIrJ34mPQ3NKXhWOWpsdptOQrkVzCVE2rpPZs7DmnSqOwtUdhSVhoVSjjyLEXgJ6n4/5i3eeHRu70UfplT8c5Cbvbzx6R5nFOAA0NpSQj0Mb73yZS8a3f7svqXdC/o+9cMfP+Z3lgjyPgNjWd6dOlMEpBVJNDVJUuDwjGdPn3AKmIKSRibTG8soKI2zRuLsg6Eg1iQzLbucvQrS/VGKnDNE9nORAt5OMtYgbDT32RmJ/JDALUCa8vDUGFDInvHGu8mJmkBatVGgL+A0DY5QgZgRABwtxQh9i8+LRie7PtLdu3aH5+fv9LzgTMPrzAMcAHJBwL/3wBN3/MY1G4Ntz+yp9Hbmbt6y+QnC4zqFLkqjsn/SiWZacoyowp7y9mrRFUt1sJ1AJuHW4qDNtGPb+M6UDQTzWQbkxP3OpiPjkdQXnK2PG6UDwt1n9V+Dc1OB0Oy/xZvtQDTNw813iNSSJwrgUUxVsrFcj5EU3GmIrQAv5fmizrUiaOv7g2UD87+M+KmQeC8+07AC8DwBOAC84tI1eOznT4XnDi64teQl97bm6q89fPjwn+/ddwACFFEsQcwYka3plfis+6xzLhATYdo8J9ZECUgry3LIkyysE9SMkNrgzfrnjdW2wKyB7fbWJDOiu8EKQ+2bAq3q+yTvOES1DqEpTZnVoUPS/dYXZxqnk1acNQ4jXeZaUZ4kIQgjijCSEiHUMfMYTGx3PSSohxwdXfNQ7uj+X8XWpV/jom/PyIFa2L3g+QFu4HkEcAC48PyzAKD6tdu+ufX8NWff9OxQS9BSzr1z2869LWNTUS4fEOQZQeBTMCaBlSQAIRxxkshJDpdt5xKeckdKiOqDLlTy7OwyMsm8SMHsPkAyYKfpsvRCwIw4T8tJpzuh6ZP+3ARWKS+l3F/hbGOmHE9H+UBaTpmZvkpqa5SAqthuQqQFr4cU1VBacgKZUpbzZZe9wIswXcujvXtZMndu91/0zOu7adee4WTj8hOrG/irGGdMJjzWuO3rt4MxFkwe2kofP1z49x3bD7y8RCbQUiAo5D0EHgFlBEkiMF1NMDoR4ciEwEQFqMXS4snbqhVqS6GkLcthxKQUmDqQiBXQJZNmTX1vQtTnVskIqjVypYEDFvDdSaYTqtVEkXGsLW2UL1mmdrj+PVKL1svShr36tVmmm/YyobpQ62Zgkt7VIw/jU3mMjAUYGWOYqkoDwihB4AO5gGNOu8DgAEe5a029Ze61f9Xf23HjvT/8NjZeds2ZhkzT8byy4PbY9JrrACAc2n8EG4DHtu94NveDu79HAxa/uF6d8EpFhlwgITJdJZiqJjg0HmOkIpMmGBEItOufAULpyUSWoobuk+QU0AHS2zusZ/U/cTRsW+tOa58AKpoxq7gYkU7xYyvLBvYqwpojZLR9p7MDMpq/9RtI5kF1pKW6AEynatXMV4OdEoKcn2D/sIfDoxTT1QSAgMcIfE9g/rzOmAXBQ4tWXca75/c/RMjYjYeGp9DTfexOC2dqPG8BrseiBV0A8Ed33fUdXLbhopZadfoLR4b3vi6qHqCl3BRaShxhxFAqxjhUmUQ8Cjyzr4AgyKHsU5SZSEGlAMmFcGq3o0nkRgryzITRfq8dPMQu7JOup7cjmvAhQzNMkJMtw6U1SwCktKoB8GpbSl4RNqohnwlNJT3dnYExDt+T/U6DIELeD1Eo1LBtH8WB0To27wywfW+AMEqQ9znmd5cw2NfLly5ffFtLS/m/P/HL4cmX977oTEPjuMbzlqI0G/v27oYf5OYcPXLwvYf3PrY65++77sGfb8bBkRasXJjHgjkTiPgovvUIwT//oBtCtKA9B5Q9jjwDfE/IClmetOyMSevuKZoiJ1HExL9IipK2H2HUpSiMUuOZNM/E5d6O0qEntXBVEPtiyno0nfh3TU2YDmVQFIQBHtPUxH5w+IyDefLZ8xSwWQLfj5HzI5QKNVA6hf/7Iw+3P9gNEZawsN3DQF8Nzx6qIlc8F8v6um6/YsOFm/v7F/xNtVobWbx48ZmGwnGP570Ft0dv30IAGImruz46uPLaRU/+8pcQpZ7rtv9iK2qVEHPWtuHcwRDnLjuM3Qc9fO+xAuqejwIlSKgA40BCACoIOAQYUqA1SODW/9qzaltvSlPKYvfsyUqIqdQnR0NIgVFDiNGmiTLjRMmjpq63pik8jfUWSG8Rpv+qRVVgdXi2qQqlAh5LUMzX8aPHBT71L3MR8w6c1yuwvBd40eoWXHn5BUB+9e2dHee/L4rGh3p65p1pCJzweEEB3Ox0YQD3PzExJMhFH167pvPWdeec9d6t23a+tJ5swdjEEfT2+HjlxdP47iMxBGQfRQGdZyiczmE4hgIBuJw7jTlxG1HZ8StZ1TEbQiAgZU1hk2n1PYLI4u+mnZmstZPuh5YOm1GWZr9DqyhUB0S5cfS+F+O7j+QwWi1gfinGgp4WrDnvbPQvXXpfUCj8zYrB/l8A00OE9J/p035S4wUJcABYv6YVALYLIbYD2My5mN8/b+nnafizZYLfxRipgAhhUuCgJEQ9AfVMpD8c3uo4dWD367GjANOOajJklziKh6OdWw4nkaTg5lzIBlBmcivMRSPNuOtaNU4gkk42uSBgELNKhQBU9F8a9QcIxAlFkjAIIRBGHEHAcPWVa5Nr1g9u72wV/+OcNS85AGBrQ/OtF9h4wQJcD3UCtobVI1uFSK4SIek9On3hbT8d+k5rT/dUqZXGaM0BR6sEMZceQUZU60akQG6+7ZSWpBVo0zBYbdGZKoybLfoJKGqhLHAisQXOBRIF8mych7yzSG1afSJlPJEqP9xSgLhoLBGsLbq+sCiBVE0YR+BHiBOKiekCwgjoaO/A/3zr/Om3vunNEwdHvE1nn9W7z/PY0Asd2Hq84AGuR1DoghBiCIXuPV4ydvYrLvfWvfJy+o9DO3bElaNPd972k4Mt2w96aOOQmd0+SePMm6R9pEqJzb0t1URNPD01WXV6X1J3kplwADEQEwnehAvEMUfCU7NLIKmJEMRKC5PbIJyAEwVuLgGr30u61RiHwjkBJ7qhq4DPIuSCEOViDftHfDy9d8XkuguXjBZ6FnrL/PgdS4Ml/wHWOQ4O7nm/HuAGfo0ADhhrzp/cvu/oOSsW3nXkyMTg9e+4s77joRs/NIL7rw8fPRDVK/WVTIT5JJmU+i5L6YB9qyewY8NTGRCWPGjAzexMozTzXxvBJJFbjGLpDo9ijijixttqEhMEkc2ihIDuU6n3hRMCXXdelzlOuNSuNZe3oxcTDsQJhRAcxXyCQjFAqeDV8sXWp5d2LvfbF7/q1gO/+Nj/WTp4Yw5+Ww3JJPf8rjN9Ck89Js70DpzusX//DuRzPvmLf/wBEtbG5nSUb+bV6uCh3bsujauHWRLVMToRYroawvcYAp8iFxAUchSBR+Axmk4klWzoexS+R+AzGMku9SrqOHYp22nXd61OMD5FcHQixsRUjFrEVRyNkiW9VILU3lVKqZQv9fd5Wr5M7xQeE8j5AsU8Rz7H4VHZpzQRASYrAUqlACuWtiX9C3seyOWDrSIZfydPJpNxsQkEoejvX3amT9FpHb/2AM+Og8NjCIJcx+joyCd+ct+PgqHde5Mjk/SCMOIX7to7gsrUFLpaKea0B8jnGRillkeSwPMIcj5DLoABnM6cYQpwga8eHofHpPQXRhSHjjBs3R1j+GiEUPVp9xhB4EEBWG7fToXTF1QQUOR8CXJKUp5NiUAhx9FWqqOrrY5CsQgv14M4YY9tG4p/Nn/BQrZhw4awraPjj+IwPOrnOs70KfiVjl8rinI8Y153OwAcBfD7APDNb/8IBHhpFIYv33mwsimsVVaUvCqODg/B8wQmp2oI6xHiRHbLosQHzUlw53xptW0GTKl0KOUDjmI+RiEXo6UYIRckAKX40ZM+nt7joegTtBYECgEHD6Rux5guqSYQxwCU2kMA+B5VdwaOMEwQxQDAQFgAP/CweNnZWDCXoFAMnqmG3bf5vn/3kkHcNzC44Uwf8jM6/tNZ8JnGrn1HAYKrRBItrUyO8h/cfQef2901kC+0/+G+ffsQc4Jntu9DHE5iQbeP9hYgn2PwlIRRqcss83Keo7XM0VKM0VoO0V6uQJAp/HSbwOPbi5jfxfHkTuDRZ8rweA5dRYHWIlAuEJTzBPkcRZIAtTABoF33HC1lDwu6Cfrnt4EE8zBd5ViwYAH2Hxi5aXpybNemTdfRud0t1PPoDgB3Uf/M5EA+38Z/Ogs+0xjo7QCAu/T7w4eHEQRB+6FDBx/yZIeKaEHfsvcXcuTKjhaCXJBg986fg8eTIDTB4SGCKA7QVgrh0RoCFqKUq6BcGMMdj8T44r/Px6reHNb0Cbzr2hHcTIdx54Pd4BFV2QNAS7GI/vlFREmIrUMMBMCcjhZcsu5ClEo+OtsoWku45+Bw/TO1uvBXrVqJjRvn3ReG4VhH55wzfQifl+O/AD7DmDu3GwDGAHwLAJ7dfQAAnmaE9+QCcIIII4e2IaxWwZhAmABjEzx65eXnf4yKiWs8Vo062moIowp2jwV4+SWdOHcAEGAotNbw/jeNwG/pgqh76CpytJZ9v2dO67fjyc0f45T51KMgHCiXy1iz5mwU8jnkc4QWcuRQ/2Lsammbf6YP0Qti/BdFOYVjz46fAIT0VCYOtAFV0d5Sw9GpEF+4I49VfWUs6hEYm6Lo7xFYufQw/u7f21GZ8NBe4Ggp5cjihfPGhRCHrr7q0jP9U35txv8H0VBJSe4m8qgAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMjE6MDE6MDUrMDA6MDDC4nwoAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDIxOjAxOjA1KzAwOjAws7/ElAAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 244386000
{'hecke_orbit_code': 81064793326227968, 'n': 1, 'trace_an': 4}
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id: 244386001
{'hecke_orbit_code': 81064793326227968, 'n': 2, 'trace_an': 0}
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id: 244386002
{'hecke_orbit_code': 81064793326227968, 'n': 3, 'trace_an': 0}
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id: 244386003
{'hecke_orbit_code': 81064793326227968, 'n': 4, 'trace_an': 0}
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id: 244386004
{'hecke_orbit_code': 81064793326227968, 'n': 5, 'trace_an': -8}
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id: 244386005
{'hecke_orbit_code': 81064793326227968, 'n': 6, 'trace_an': 0}
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id: 244386006
{'hecke_orbit_code': 81064793326227968, 'n': 7, 'trace_an': 0}
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id: 244386007
{'hecke_orbit_code': 81064793326227968, 'n': 8, 'trace_an': 0}
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id: 244386008
{'hecke_orbit_code': 81064793326227968, 'n': 9, 'trace_an': 0}
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id: 244386009
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