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mf_newforms • Show schema
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{'Nk2': 4800, 'analytic_conductor': 9.582048242553647, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 12, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': 1, 'char_values': [1200, 2, [751, 901, 401, 577], [1, 2, 1, 2]], 'cm_discs': [], 'conrey_index': 1151, 'conrey_indexes': [1151], 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [0, 1]], [11, [-3, 1]], [13, [-2, 1]], [23, [-6, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36029278088856752, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 12, 2, 1, 2, 0]], 'is_cm': False, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 4800, 'analytic_conductor': 9.582048242553647, 'char_conductor': 12, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': 1, 'char_values': [1200, 2, [751, 901, 401, 577], [1, 2, 1, 2]], 'conrey_index': 1151, 'cusp_dim': 204, 'dim': 38, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 23], 'hecke_orbit_code': 481069892784, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4], 'label': '1200.2.h', 'level': 1200, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 276, 'mf_new_dim': 38, 'num_forms': 14, 'prim_orbit_index': 2, 'relative_dim': 38, 'sturm_bound': 480, 'trace_bound': 13, 'trace_display': [0, 0, 0, 0], 'traces': [38, 0, 0, 0, 0, 0, 0, 0, -6, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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mf_twists_cc • Show schema
Hide schema
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id: 46670579
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1151, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36029278088856752, 'source_is_minimal': True, 'source_label': '1200.2.h.i.1151.2', 'source_level': 1200, 'target_conrey_index': 1151, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029278088856752, 'target_is_minimal': True, 'target_label': '1200.2.h.i.1151.2', 'target_level': 1200, 'twist_class_label': '1200.2.h.a.1151.1', 'twist_class_level': 1200, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 46670580
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1151, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36029278088856752, 'source_is_minimal': True, 'source_label': '1200.2.h.i.1151.2', 'source_level': 1200, 'target_conrey_index': 1151, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 481069892784, 'target_is_minimal': True, 'target_label': '1200.2.h.a.1151.2', 'target_level': 1200, 'twist_class_label': '1200.2.h.a.1151.1', 'twist_class_level': 1200, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46670581
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1151, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36029278088856752, 'source_is_minimal': True, 'source_label': '1200.2.h.i.1151.2', 'source_level': 1200, 'target_conrey_index': 1151, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 481069892784, 'target_is_minimal': True, 'target_label': '1200.2.h.a.1151.1', 'target_level': 1200, 'twist_class_label': '1200.2.h.a.1151.1', 'twist_class_level': 1200, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46670582
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1151, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36029278088856752, 'source_is_minimal': True, 'source_label': '1200.2.h.i.1151.2', 'source_level': 1200, 'target_conrey_index': 1199, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 13511760988341424, 'target_is_minimal': False, 'target_label': '1200.2.o.d.1199.3', 'target_level': 1200, 'twist_class_label': '1200.2.h.a.1151.1', 'twist_class_level': 1200, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46670583
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1151, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36029278088856752, 'source_is_minimal': True, 'source_label': '1200.2.h.i.1151.2', 'source_level': 1200, 'target_conrey_index': 1199, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511760988341424, 'target_is_minimal': False, 'target_label': '1200.2.o.d.1199.2', 'target_level': 1200, 'twist_class_label': '1200.2.h.a.1151.1', 'twist_class_level': 1200, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46670584
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1151, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36029278088856752, 'source_is_minimal': True, 'source_label': '1200.2.h.i.1151.2', 'source_level': 1200, 'target_conrey_index': 1151, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504080697263280, 'target_is_minimal': True, 'target_label': '1200.2.h.b.1151.1', 'target_level': 1200, 'twist_class_label': '1200.2.h.a.1151.1', 'twist_class_level': 1200, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 46670585
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1151, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36029278088856752, 'source_is_minimal': True, 'source_label': '1200.2.h.i.1151.2', 'source_level': 1200, 'target_conrey_index': 1151, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029278088856752, 'target_is_minimal': True, 'target_label': '1200.2.h.i.1151.1', 'target_level': 1200, 'twist_class_label': '1200.2.h.a.1151.1', 'twist_class_level': 1200, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 46670586
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1151, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36029278088856752, 'source_is_minimal': True, 'source_label': '1200.2.h.i.1151.2', 'source_level': 1200, 'target_conrey_index': 1199, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9008161360970928, 'target_is_minimal': False, 'target_label': '1200.2.o.c.1199.4', 'target_level': 1200, 'twist_class_label': '1200.2.h.a.1151.1', 'twist_class_level': 1200, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 46670587
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1151, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36029278088856752, 'source_is_minimal': True, 'source_label': '1200.2.h.i.1151.2', 'source_level': 1200, 'target_conrey_index': 1199, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008161360970928, 'target_is_minimal': False, 'target_label': '1200.2.o.c.1199.1', 'target_level': 1200, 'twist_class_label': '1200.2.h.a.1151.1', 'twist_class_level': 1200, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 46670588
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1151, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36029278088856752, 'source_is_minimal': True, 'source_label': '1200.2.h.i.1151.2', 'source_level': 1200, 'target_conrey_index': 1151, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525678461486256, 'target_is_minimal': True, 'target_label': '1200.2.h.h.1151.1', 'target_level': 1200, 'twist_class_label': '1200.2.h.a.1151.1', 'twist_class_level': 1200, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 46670589
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1151, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36029278088856752, 'source_is_minimal': True, 'source_label': '1200.2.h.i.1151.2', 'source_level': 1200, 'target_conrey_index': 1199, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 9008161360970928, 'target_is_minimal': False, 'target_label': '1200.2.o.c.1199.3', 'target_level': 1200, 'twist_class_label': '1200.2.h.a.1151.1', 'twist_class_level': 1200, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 46670590
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1151, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36029278088856752, 'source_is_minimal': True, 'source_label': '1200.2.h.i.1151.2', 'source_level': 1200, 'target_conrey_index': 1199, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 9008161360970928, 'target_is_minimal': False, 'target_label': '1200.2.o.c.1199.2', 'target_level': 1200, 'twist_class_label': '1200.2.h.a.1151.1', 'twist_class_level': 1200, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 46670591
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1151, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36029278088856752, 'source_is_minimal': True, 'source_label': '1200.2.h.i.1151.2', 'source_level': 1200, 'target_conrey_index': 1151, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525678461486256, 'target_is_minimal': True, 'target_label': '1200.2.h.h.1151.2', 'target_level': 1200, 'twist_class_label': '1200.2.h.a.1151.1', 'twist_class_level': 1200, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 46670592
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1151, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36029278088856752, 'source_is_minimal': True, 'source_label': '1200.2.h.i.1151.2', 'source_level': 1200, 'target_conrey_index': 1199, 'target_dim': 4, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511760988341424, 'target_is_minimal': False, 'target_label': '1200.2.o.d.1199.4', 'target_level': 1200, 'twist_class_label': '1200.2.h.a.1151.1', 'twist_class_level': 1200, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 46670593
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1151, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36029278088856752, 'source_is_minimal': True, 'source_label': '1200.2.h.i.1151.2', 'source_level': 1200, 'target_conrey_index': 1199, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511760988341424, 'target_is_minimal': False, 'target_label': '1200.2.o.d.1199.1', 'target_level': 1200, 'twist_class_label': '1200.2.h.a.1151.1', 'twist_class_level': 1200, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 46670594
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1151, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 36029278088856752, 'source_is_minimal': True, 'source_label': '1200.2.h.i.1151.2', 'source_level': 1200, 'target_conrey_index': 1151, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504080697263280, 'target_is_minimal': True, 'target_label': '1200.2.h.b.1151.2', 'target_level': 1200, 'twist_class_label': '1200.2.h.a.1151.1', 'twist_class_level': 1200, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1760800
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 36029278088856752, 'p': 2}
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id: 1760801
{'charpoly_factorization': [[[3, -3, 1], 1]], 'hecke_orbit_code': 36029278088856752, 'p': 3}
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id: 1760802
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 36029278088856752, 'p': 5}
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id: 1760803
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 36029278088856752, 'p': 7}
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id: 1760804
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 36029278088856752, 'p': 11}
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id: 1760805
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 36029278088856752, 'p': 13}
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id: 1760806
{'charpoly_factorization': [[[27, 0, 1], 1]], 'hecke_orbit_code': 36029278088856752, 'p': 17}
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id: 1760807
{'charpoly_factorization': [[[27, 0, 1], 1]], 'hecke_orbit_code': 36029278088856752, 'p': 19}
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id: 1760808
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 36029278088856752, 'p': 23}
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id: 1760809
{'charpoly_factorization': [[[108, 0, 1], 1]], 'hecke_orbit_code': 36029278088856752, 'p': 29}
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id: 1760810
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 36029278088856752, 'p': 31}
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id: 1760811
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 36029278088856752, 'p': 37}
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id: 1760812
{'charpoly_factorization': [[[27, 0, 1], 1]], 'hecke_orbit_code': 36029278088856752, 'p': 41}
-
id: 1760813
{'charpoly_factorization': [[[12, 0, 1], 1]], 'hecke_orbit_code': 36029278088856752, 'p': 43}
-
id: 1760814
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 36029278088856752, 'p': 47}
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id: 1760815
{'charpoly_factorization': [[[108, 0, 1], 1]], 'hecke_orbit_code': 36029278088856752, 'p': 53}
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id: 1760816
{'charpoly_factorization': [[[-12, 1], 2]], 'hecke_orbit_code': 36029278088856752, 'p': 59}
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id: 1760817
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 36029278088856752, 'p': 61}
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id: 1760818
{'charpoly_factorization': [[[147, 0, 1], 1]], 'hecke_orbit_code': 36029278088856752, 'p': 67}
-
id: 1760819
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 36029278088856752, 'p': 71}
-
id: 1760820
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 36029278088856752, 'p': 73}
-
id: 1760821
{'charpoly_factorization': [[[48, 0, 1], 1]], 'hecke_orbit_code': 36029278088856752, 'p': 79}
-
id: 1760822
{'charpoly_factorization': [[[9, 1], 2]], 'hecke_orbit_code': 36029278088856752, 'p': 83}
-
id: 1760823
{'charpoly_factorization': [[[27, 0, 1], 1]], 'hecke_orbit_code': 36029278088856752, 'p': 89}
-
id: 1760824
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 36029278088856752, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 8, 'hecke_orbit': 9, 'label': '1200.2.h.i', 'level': 1200, 'portrait': 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QijmZvUzE6kLK36rA4Fo8RleSDYNKFZ7GpOnFcErsemadg2F7FxZsSGmZBNMyHbNhp2bFJcud2loVocPdHhgWc8HjuQ8NTxmFT1+O6XdXnT7YaGmuHA8UmOnnE4fSHlXAbuQwuGm6+e59+9bZntsxOcuTDJ+eWApa7LUley0ktZ7aeMIsGRE4ucOLty5ROHFl6+7+TiroMnFz5/22veEt33+T//VkPim3r8rWbw5ZUuaAOCdzz85OHb//VvfVy+7qYjt//zv3faWejO0e21WF4NWOy6LHYdFruCpW7KUjdmcSXl3AocXhTMza7wH35kkVsub3Ly/DRnLrQ4s+BwftFwbiHh1HzKhV7C5PSIl17b5yVXgCcb+Mrn/FLA2QWHc0uCQQhJogk8TStImZpI0MDxcwmrfdi50aXVCDFGgPDoDzU7NoUsrjhgrBRZ6UOYgMGw1I3YusGlN1QIZRA6pBO47Ng8YmUgOH7GIdUOMx1JOxD4LiSJYBBKzi1Jzi4azi8n+P4I3IRbr+pz+9WCuU6DxeUOJ8/7nFmA8wsJ55cSTi/B4UXDTVct8Ms/ssymyQ4nzk1zbrHB/LLHQleytJKytBqz3E1Z7muW+4KzfcH88pDf+Odh8r0vn/x6MPdjujGx9+tG8wvKEQSNzrcaKhd9/K0NMn/jdz7M1OQEZ87N/8qnPnv3v/zUXY/6J0+t8qfLKa+9MeW6XSsIIdBakGpItUBrB2MU1lgBIVKEMBxZnOI/vF/wKz9+nht2R7Qb07QabTpNn3bTZbKjOL+oOLfs8KX7Az5zX8Jl2wdccUnC0vKQK7eH/ODrNHGiEBg++UDAhW5AIw05dlbR77e57tKUC6sJ+/a7XL5dcvAM3LoXuj2ItIPvRMy24MDpBs1GjK8SJtqClR68+Moeh0/5XL5Tc/RMyLOH7b/nbh9x+Lxhoh2ytBrxqS81MUKRpil3XD/gthsM51ZcbtgzYs8WlyTuMBg22Hck4NyCYH455cJywvklzYklwfl+xPWXL/Lvf7jPXGeK42cnOb/YYH7FZbErWe6mdHsxq/2U7tCwMhCcHyoWegk3XbHMS69YcUaD9BUnnv4wndlbb7tk78t10Jj7Nyee/yA7rviBbzVk1n38rWTwP3zvh/mOmzerP/n8kX9/8vT5f3P4yDG1shqxOHQ40YMrt5/nP//0Ba7f0+T84hSL3SZL3WyLXXVY7mEZaDVhqZew0IWTywKnMeK2q5f4/ldE7N7QYqXf4cJSg/klj4WuYKlrJcJyT7M61KyGhsEoYaYTs2OjBgS+azh1wUVIn50bFLu3GLZsGHB+OeTJg21uvMzQbCzzzKFp2q2IKHKZmdIMR3DljhEf+Moke7cnhKFhdkISp0Pagc+zx0Y03BbXX57w1JGI84seW2d8dm+GHZsilIo5tQCeaxDCsHNjwlRb0hv69AcuqwOXpVXF0gosdjVL3ZSFbsq5LiyOUnZs7fP9dyxw2xUOgdvh7EKHheWAhRWHpVXBclez0otZ7qWs9A2LfTjXU5xfSbjlivP82k8usmdLh/mlCRZXAhLdZHbD9rTV2fgr+8++5Je3Tu1Lb7z1Td9q6Kx5/K0C+P4D+2k0gsbpU6d23P/QM299/tDp/7j/0GmkVIQJrI4E5/uK06sJN15ynv/004tcd0mDC8tTLK40WV4NWFp1WV51WF6Fbk+z0ktY7iUsrRrOdwVn+gZEnze9rMvrb9FcsjkgiposdwNW+h7dnmK5L+gNBKPQECWGNAUlDb4LDd8w2TFsmI5x3BGHz0Y8fchHJy1e9+IIx13h0X0T7NoMn30o4WXX+FzoDgkcRZLGTE9BErs4bsLiYpOX3rDKZ+9vs3szPHIwxKXJa2/RJGLI04dTjp4KcKTHximHqZag4Qs8T6AEJBqi2DCKoDcwrPQ1vYFmZaBZ7BuGacrObQNe/5Iub7o9At1mcWWCC0sNFnMy6MJKL6XbT1jJwL00gLOrivnVlJsuP8+v//QFrtrRZH55kuXVJr2BzyiUJKnGa25Helv+7eTclX+xdevWE2E4Gl522d5vNZSKx98agJ88cZANc3PewUOHfmz//oO/c98DT4gLCz0ZRoZRbKx/HUJ3KDg/UJztxdxy6QV+/e2L3HBpwMLKJIsrLZZXfVZ6Hss9h5WeoNszdPspK72Ebl+z3Ddc6AnOdjVTkwO+46Yet16RsHOjotNwWe0F+K4EFFEi0VqgDQxGgNBMtUccPG3QJuKuR1qEgwaXbvW47doBsV7hnscmuf4yl4Pn+nSXO7zk2gFfetRn47Rh33HDP/2eVfYd89k4LfniY4rbrlQsDVY5cnKa6y+PuOfpIUnY5NarPPZsHzFM+nzhUQWp4PAph07TwREwGEq0EaTaECeA1Diepts3tNox2zeH3H7lgO+4MWGmFXB+aYLFlQbLq/baLK8Kun3o9hK6/YRuP6U7MCwNJOd6goVewov3zvMrb5/nut0B88uTrPSadAce/YHLMFQMQ8VgKBgmDb1t5zVm565LfmbPnkv/aGFhIbrqyr8dIP9bAXCtI5nGgzccePqTl55flO988MFH3eWeoD/UDEYpw1AzDA2DkaY3gu5QcmEoOdNNuPXKC7zj7fPcuMdjZXWC+eU23X7ASs9jpe/Q7Sm6A+j1DauDhNV+Sn+o6Q4M833BfB/iNOS6y4Zsmk7pDwzf+ZKQXZs0SSpxpCGK4e4nA05cCNg8lfDM4QB0kyu2KW7Yq/GDAY8eHDC/0OLqXS06k8vc/5TLzZcFLA5WWF7usGmT4aF9ih9+VZ+H9zls2+Cy0O+yvDTNDVcOuP+ZlOnGJFdf2udCt8tDz03ScFrctNdw+Y4RyD5PHhVsmI45Px9zz5Muo1ghJaTasGtzxHe8JKLXV2yZ0txwGURRk6Vuk6Wuz0rfZXWg6PYlq31YHVinpDdIWR1oVgaGpaHk9KqgOwy57fJ5fvknlrnpMrs4ur0GqwOf3sClP3QYjBSDkaQ/Eqz0UhZXIl50/U1xb+T8qx/74Tce6rQbnwoCV3+rsfUtDzLTZBWd9H9k8eyDv7mysH/6zIk+7aYiNRIhJFIIlEiQQiOEQAiDEBopDVI6PHxgI7/wbofvuW2JH3jVEru3Rpxb7OB7DRq+R9N3aTUceg1Je+gy0XIYjFL6w5SN2cLpjXyW5gNOnTREieb0uQTfN4DAUwZHCgZDhcAlGTi8aJdgzxbDjq0DwrTH5x5WPH9oitfc6HPDlcu873MGTzTZtXXAU/crtk4qZjsDAtUgil0u9KAVOGzbKHji+YgbLm/wiusXeO+nh3hum1e/2OD6A778UMRnH2zx3NEGl2xpsmtzytxUxO7ZmGt2pSilcZQBDE3fZ27SJ4pdegOPZw669EcOg6GiP5L0h9AfGfoD+7v3hin9oWF1aFgZwvxAcX7Z0Jzo8rOvm+fv3xZy3SUtzi506PYDehm4e0NVA3d/aBiODFECX/rqQ64KZn9z0+aHl17/Hbf8y6Xu4L3TE83/dQE+Gg6JY/ETp47c/44LJz4/3V3p4zoBgS+JU2PtNhRCgJApQoAUGikMShqUTPGk5KmDczx+oMXBMxf4ntv73H7ViMl2h6Vuk9ZqQGfo0R849LKbPRw5DEKHUWgYRZooNsSxIUntM0o8jAapBK4jCDzBZFsw1YZNs5ptGwfMTnX5/KNw7+MuUk/wmhtdXnRFj/uei4lGHW57kaA7HHJhscWtl2tmJwc0HJ9RophfjVFa8KLLHZrtkMf2B7z8hglecl2Px/YrMBPceJXHj3/3El96IuKLD7fYdyJgx5xi03SDqXaTiTY0fHAdg5LWTd13VJCmgjgRRAmEMfZ3DO0uOAo1g5FmEGr6Q1gNYb4vudCDUI+48/ol3nB7lx96tSZJOpxbaLHaD+gNPfpDl/5Q0R9KC+5QMBgZhsOUQZgSxYYoNiwunuUDH/rctO+k/8/f/66XO4PB4N3N5rcO5N8ygA/7Kwj0jx85+PV3HNv/5Q3oAUbYxlrf1SQ+GCMxCIRQCCkQApQUKKlRyuAog6s0DVewMGjwwa9s48uPr/Kya1Z4250rXLO7z8xkk8WVJr2hz2DoZsBW9hkJwlgSJ4IksVt9bjEqaXAcCDxoNjTT7ZitGwYk9Dl4OubP7wk4crLFpN/g5qscbr12lYcOdLnrgQ4vvixgx+YBH/iKQAmfTjtmpR+iDSgBc50Bqz0PnTR4w8su8MHPNtlzPuD1Lx4QxYvc8/QMcRpwy1UbeP3Nq1y2vcuXHxvw1MkmTx712DYtme4Imr7Ac+0ilAKEMGgDWhviJFussSGM7UIeRTCMoDcSLIeCpR4IZ8T1e1d423es8LKrUmY6DZZXm3R7DXoDn/4okyQ5OYSCwUgwKBZOyihMCSODNoLAcxn2u/zlx+/aoKR5x+u+46VmYXH5D2dnpv7XAPjg9G+yPNzBYP7jP9pdjd85f2L/rGIZ6Uq0NniOJvVsYIexIYIUAiklUjoolaKUyLZnjasMvmNoOILlkWKxO8WH7m7x4DN9brtuhbe9eoXr93SZSRskic9gFNAfugxDhyhWxIkkSaX10Y2wWVBh8D1NM0jwvQjPDTm9GPLpRySHTnkcPTWF0j57NntcuVtx4xWrKH+epw+32TrZ5OpLYNPcMkurHa7ZKkm04fMP+4QDyWQr4bW3jPjUPTEnzrXZe6nL2ZURzx5x2b5xiut2z3PfUz3uf1YQRh5X7J7miu0+V2zrcfjsEodOw8PPNzl4pEXTEfiOpOUbAhektEGVMXaxJilECUSpoB8KVkeC1RginaDNiJsuW+Vt37HKy65J2TztMxpNsNgN6PV9+iOPwdChP7KSZBgKhiPJMLR9o8MwJSx2BruIosSQaDBITp7t8v4PfXnDk/vPv9MJ2slvvfvj73vowCp//Gtv+7sL8P/jnX9EY8v7WTrw3T+URMd+K+6em2wHLoHrkqSSJFEIoTAAgkyaSJSUGXMrHCVwlMZRKa4j8ByN5xp819D0UiYDQS90WV6d4iP3dvjKkyM2Tg146x1drtg+YjTsc/Vuw/ZNijB2SdMyzS8wSKlxnZTj5w1HzwlWhppP3Nfk9MIUJnKZChRbZhx2bnK4ZCtcvWcVLRd416daLC1N8OIrHK7e0+XLTwpE4rJhStJqJgxiD2kkGIlyPLojwfklwVWmyR039vj6Yw22zHq8+Opp/tF3L/BHn+3x8P4W/ZHL4kqb3Vsa7N084JbLe3zvy3ucWVriE/f5LA58jp91OX3aw1WWCAQCbQyphlgb0kQzNRNz7VUDwjDmiu0hb74jZMOEYrrtE8cBZ+cDBkOPQWh3uWEBbMvaw1AwCrE7QcbadlcwxTOMIUwESQpxqpg/vspDhx6c3bFr22+95EWb4z/+tT1/eu7If2XTJf/i7x7A/89f+3O++7bXiX/4C+ItG5rP/MFbbn2yeeXOgG6vxShKiGKHKHaR0mpsKQ1CKKQAJUFKiVICR0kLckfgOimeI/BcTeAaGrGhGRkmgpSphmAQSXpRi6OnWvz6n06DThBJwo3XDti9KSJJQBuNMTaJI4VAKoHjeuw/4bHvUEArcGh7ktmmYG5GsmHaYcucYufmlL07V0jFIr/90Q7HT0zy4stdrtiVMkx6PPC0z2TDZWbCMNmOaDasFNJa0h0plvqGxW5Kt9/gpVev8Mi+Ac+fUEx2Am65apK3v2GR//YxeOxQi/7QsNJzOL/UYdNskw1TI3bOjPg/3zKg0+zy1FHYf1LiugalbBAOxv7PQJLArk0pt12TkMYuceJjTJNR5HJuwWMY2h1tFKlCvg0jwSgUjCLL2mFkGEUpYagJI80o1tn3smcMYSwYJTBKBMNE0I0Fq/2U6ZUnJl973ek/eMeZ+USrn/jQ/NGWmdv99r87AP+V//JB9m7vqE9+9eNvOnHy/Pve98Bi8NS+Nu/8qS6XbUtYHTYYjXxGUYpSbhZAVp5KoZTBVRLXsZrTcxWhKwkjjR+lhLGhEWvCWBNFhk4CYawJE4gSwSiWhKlPnAY8f6jFk89DagwW2lYbuxI8ZWs+2j5cvRk6DZhoSabaiplJhw3TsGNTyOa5FWKzxG9/dILDRya44RLFJdske7Yt89VnE84vTnDjbslURxN4Q3zpY5QgSSXCGJI0YrkfcH7R5YYrGrzo8h73PRawcUrQDNrccLnmZ9+0yG99TPPs6TYrfc1KTzG/7DA72WKq02CqM0GnGTPXitl5Q4TvJrhOglIpUthgwmAXVRwrLsw7xIkiThRRrAjj7DWShLEkjCSjSBJGwgaokSCMDGFkr2sYpURRpulj+/1RBKPY/v1hIhjEgtVYsBoZwjDkRTuW+NW3X+COvWebK0v++xLxZ3qYXP7Ro8/8Sbr7mn/w7Q/wd73nz5jseOr4mfNvPn/m7Hv37T8eNDtNPv/IBrw/1Pzy27vs3ZbgOQnOMMDNtLWjNEo5KGlwlcF1FK5jcCOJ5wp7E1xB6Cmi2AI9jg1RYiP6OKk8U0hSQ5rqSt0KBbhFtks4ElwXfEcQ+IKmL2k1FRNNydSEYMN0ws5NA9qtFT769Yh7np5mZaHDtTsUOze7XLZ9RCpW+PzDTVquw9yUot0c8fRheO6IwzXbDYNQcd1lMdfuMZw7mzK/7DEcNXndzT2+9tSQg6cVrYbE9zpcc4nml390kbufHfKpu2dZXDXs3JCy3HWY7CgmWi7tpkurYQh8je9pfCfFUVZqSWnvgTHYhJUWJFqSpIIkEcSJJEoEcSwJY+u8RLGwjkgEYZwSxZqoQhxhXH1acA9jGMaCXizpJjAIU0iG3LB9iV/8iUW+40bJUneCldVjQSw6fxKL9j+Mmf3wg1/7cPqSl7352xvgvitkt9v/gdOnz/zusSNHgw1tBzEQpLrFJx/YRBQpvu+OLm951SrTEzG9QYBSPo5KcRwX10lxHQc3dvAdxcjN2MaVRJ4gioW9ObEiTiCKpXUQktL2S1JNmlp3ITWZU1IUZAmktO6M4wg8R+B7ksCXtBqCTtMw2dZsnA6Zm+qRmBU+9DXJH312hg1BwLU7BDs2u+zaotm5eZmPPmBYWgq4YpNiqgPtZsz5Y5ILyz7ebruNz01IJifh4FHD8qrm3ELAZbsCXnVjj0/fGzDTBt/zUHKSa/YIfvL1F3DlBT553xTPnQ7YuBqzYTJhoqVoNxTNhqThO/ge+C44jnWYpAApKiDHLuxUQ5parWyBDnFqvew4Ti0pxJoof401UQxhkrsymQWZSRHL2pLVWBONYjp+j+9/7QJveUWfO18kWem16Q8DhmGTheVTgXabf+A1XUcI98+wPPPtCfCPf/yTpFr/6EOPHPlP+w8e77iOwk+g7WoiI9GixecfkTzwTMC55QX+6ff2merEBL7NOLpOgut4VmtHKZHr4MWKMJZErk2lW8YRlokyVkoSiFNIU+skaG0DLq1N3sOZgdsC3Gp7getYgAQ+NANNu5Ew2U6YmxwyO7XC15+P+JO7Guw/OsmuCZc9m2DbJo9tG2HvjlUGySoP7evQUC5zU4rJNky2Q6YmEjzPQQi7uIahx9JqzMrA0O0nXFj22LGpzUuuuMBdDw/Yf7pD049xlYcQE+zZqvgHr17gpr0X+JO72jz0zCSLfYcNnYTJZkIzkDQChe8KfFfiujZWUYrMPrQoN9geVq0pgJ6kOtvdMmsx0SSpBXcSQ5SY8hlbV2aUWFIZJIJeIuglMBwm6GTITKPHz3zfIv/HDwxoeD4r3TaDUUAYeUSxAqHoLh7vOCN+e3bTVd49X/3sH73ila//9gP4uYUuSsqf+IP3ffQdjz97cibVAo2VAoFjmNA2kdPtNOiOFP/pL1z2HV7mDS/vc8f1PTbOhqz2GozCBM918T2XMHLwY2vvRZ4FeBxLosRuu3GSedopmfVHxtwSbSjBbZOUGXODo2zCxHMNgadpBAntIGGqE7J5dpXz3QG/8wmXzz8yzdJyi0vnBDs2CLZu8Ni2QbB7ywjHW+GD9zgcOdni8o2SqbZkopUiZcjpeYPvSKQAYwRR7LBzwyoPk7I6UCyvGs4vNbh8W8D33tHlw1/2OHbex3VihHDRpkWcSG7cvczOH1zl848N+MDnp3n0WIutU4LZVkorSAk8ge8KPNfGKo7KLVZR1GQY7CLTBuu0pBbwOciT1Eo6C3aIUlvrEuXJo0QwTKCXSPoJDCNNMojYNrvKK25Y5o0vH/C6mzSOaLK00mQU+Ywijyh2SLVECEseSXJsZqY9986rb/helcbL71bu1LcPwM/Pdwk89x+9/6P3vONzdz+zIRpofFeAsQkUzxE0M7BJIejhsxo5fPCrPnc/1eOGK1b5wTttFdzMpM9w5DMMPXzXJUpcotgpAqUkUcSpJEkkcSpIEkmaClItSq2tBYUqMWQZUVDKZMGrxnM1vpfS8BPajZDZyT7DeMiXnzb8+VcneOiZSaY8l2u2GjZPSzbOeGyZk2zbGHHJ1mWeOjbkE1+bY0I5zE0IOi1BpxnTHaR89oGAtmcQwgJrGDq84baQzzxoa2K6fc2FZYdtG9p8z+19Hnq+x76DHi0/QUlhQa6bjCKr9f/Bq7pcvvkCH7x7lfufm+TEcoNNHcFEYGh6msDReC44SmQOVM7kkJcf6UyqaV3ucEkGdEsQEKeCOM2AnQpGiWXtfoqNeaKIVmPA979miR949So3Xp6yccplMGqx0veJYp8wcgljlzhRpNom6zzP0FQJevDYhsUzM++Y3vJqHUfL73G9v3mQ/40CfHl5hXMLfZTkRz78yXt/4y/+8kszq90V2oFduVLaH5gzqQ3uDJ4U9JRi4LY4tepz5sEmDz7d58PX9njzq4a89rYR05MeUegTJi5R7BInDnEG9CRV1kdPJWlaAlybjLl1WVNma1lASVvH4Tgaz03xvZiGH9FuDEkZ8qXHJH/6lUmeOTqBiH12TRk2TxpmJxVz0x6bZiVb5mJ2bFrl5HyP3/tUiyRssG2bYLLt0GlBpxkj3IjVYYvJtkEIgTEQJ5JpX5HohF7s0RukLK8qTs83uOqSNj/191Z455/5HJ9v4ag4WxgOSRIwiiSbZnxuvHSVay/p8+zx0/z5Vxvc9egkZ7oNWr6i7UHLNXiOwVXgSJvOF6JeXacBo+2iS7UgNZCktoEkTgVRapNEw1QwTGGYGJIkQcchM8GQ1925wlvv7PGya2ImGi5R3GK56xPGHlFs75N1ahziWJFk1ZnGCFItWVnpkR784oY4cX5jZstLk1H/xB9rJmm2/ubmJ/6NAnw4HLJ1Q+uNX77n4f/2yU/f1UnDLtMtaTNswgY6OZPYAMheeEeAJyFQgoHyGCQOF8KATz7Y4p5nBtzyxT7/7Pt6XLljlQ2Tik7TIYo9osQlSUqQpznAtUQbiTFWEpQdPraWxab5NY6T4HsJropYHcbMr8b8148GHL0wxWP7JjHaY6Yh2DBrmJ0QzHQUM5MuG2ckm2YSts4NmJlc5vOPax59bpJrtwmm2pJ2U9JpalqNCOGG+L6Do8prkKaSYegwHMUkWtAbanp9w9Kqy7nFDrfu7fOSq1b44BcDGksKR8YWkMYhST2i2PZ4zk4G3LSnz02X9nn4FWc4Pi/5k7smubDS5NSij6ckLVfg5TJM2sCzIPJcqmCZPDGCREOsBWEKowQibSBNIImRKmTL1JBrd9r7cfOVKZ2GQ5K06PYssOPE5jPiWBElDlGiCnDnGWNjQKBIkgaDUchS96szO4aN/7Z5x83LcTT4xN8kJv/GAP7Ms/vZvHmT+uM/+eClTz3zfEdHXWYnVJZyt/JAZ1uiSg0qB7cUONLgJgY/FTSVYOgIBo7PMHVZjBrc9egEX39uSMsP+Yff2WXbTMKuLUNuvbqHIxTtpoMQVq7YrKStlTamwtwYhDQoYT1zQwIy4dmjkkeed/j0Q22ePdEmSpq0HcVcwzDdMkw1jfXBOw7TEw4zk4JN0wlb5oZsnlvmnmdC3vXpDWyedJjrQKel6LQE7WZCww/5+gHFKHJwWxZUxgiiRBI4iusvH/Lg05O28GmYsrLqsrDic35hip96/XlOLSzy4BNzuBIQMRpIMgCFkaQ/dJhqB0x2Wrzk8gGvuHbAD75ynudPaj7zUMBDzzc4cKRFIhzCUDGIFUrIrCqzGnhmOQGjSbTBaI0rUia8iICYl9zQZ/fmEdtmY9722pCGJ2k1XKKoSbdn2TpJVEY4qvTak6wUIgN3ktpisJx07M92GS0OOb98f2fDiflLX/26N6tzpw+lm7Ze+rcH4M899xxbt8559z/w8I+Nwug/LS4uMtl2STJ9lwPbBjV5wVSmgVODSsBVAi81+IkhSAVNJ2OR1GWYugzSgF4v5Tc+OIVJYjbOjbhqx4iZiYQ3v2rIjg0RcSwyvS2hwtx52l9KjZCCj9zd4KnDLYTjcPxMk9PnmwQNxYQvmGwZOoGmE0C7IZhoKjptxVTbYWYSZicTNs6M2LphldSs8JGvdRj2W1y2zdBpKtpNSbuhaQcJrhvx+QcDwoHE3QAyA1OcSFoNxetuGXLv45p+KOkPU1YHDis9h3OLTa7c3ebNL1vlsWebHF9qo6QG4kwvu8SpdZNGkaQ/cuj2PdqNJq1GyJXbRrx474iTF7ocO7uC46Y8ecThw19tIpSy4BayfhONBjQYQxyl7NyY8NZXDZntpOzdadg4A2niEkZtksRledUliRVxWu6gcZy9JiqLiWRW6yMy+Shs0G9E5mrZ+xUnit5wibmN8X/a9+yjg4nZ3X904MDz0eWXX/G3A+Dnz51itbtw+ckTJ3/nyScelY1A1iLztBLIaGW/76hM70mrE+PU4KaQKIGfGgJtSFJBpA1RKgi1JEwlkXaJNcz3O3z1KY0h5eMP2ZENGJ098yxeZpGJrCJRSKRSJLGD1A6uI2n7sHvO0HI1TV/T9KHpC1oNSbth5dBEWzLVgZmJhLmpkC1zPVKW+a9/GXDf0xvYMwNTzYy9m5J2I6HZiGg1hzQaTXwlUTLT4NjFHscuo6FgGKb0QkV/pOkNtW2Za3mcOj/BS68K+dm3nOc3P+xwYsVHCI0xMTo1xIlLFEtGoS1jbQ8dWoFHsxHQ9JsEfky7EXHjZRGeG3PzZQlvu3OAo5IsCaQRwtRFeSbptLa1+L6rAI9R6LC47Ni6nTSPebJnIssYqMLWcZonlDLm1qJ4TdNM8xd+vCBJDA8+9Ki8ciB/Z27j4GtxGD7zN4HN/2GA33f3x5iYkI3jxw++6dSxw2J6wrOJg0SXSRZNBnQLeKUEaQZy68WCk0XvaR7Rp4JEmzKy11Yf2qcg0pLESFLtEGufNLO9qo8iSynAEcJmKhUEDUPgGAKV4rvgOxB4hoYvaHiSZkPSDBwL8JZgsq2Z7iTMTIZsmO6zZcMi7/q05gN3bWT7pGK2rem0FO2motWEZiOl3Yg5u6g5fNYn8GwwDXmln2AUOezepNk0O2J15DEcmYzFJSs9h3YjoN2c5G13XuDI2XP8wSe24kgHgybVKYk2xIlDGCmGkS2KGgSS5sih4bs0/JRuz8YYnpvahJmb4kjbKCGlTeeL7GllpABEBnJBV2dVltrGNWkq0VqS6DLeydm5ZOjMzapIkvzVgpw6sDPHJkoEo5Hh6w88LnbvXn3Tzl27Dr//Tz88fNsP/Y9lOv+HAZ5ozztzdvHnlxcv/LxgJFtNSRiBikUGcFEyeWpIlQW61qJIxDiKbFVngNcl85dPU6bZs0o56+WKIlCqam4oA1kpwJEaR5LVkFtJ5DrG+saOIPAlgSdp+IpGoGg3JO2mYaKVMtlOmO6EzE4N2LFxkYcOhHzw7i1MBT4b25pOU1hwNyStQNMKEtrNkIf2w5PPN7l0zmS6t0ybD0PFzXsNl+0Y8vAzkwxCw3CU0h86GchdmkGDRjDJ9798iScPXODBfZvAKLRObTlsYkhiU9STDEOH5sjQCBSBp/E9F99L8R2N46S4Tl4Coe0RLNKWBiMMglLPlcG5LSHWuSOlc/u1YsVmwE4KhpZFlnQNuDUFe9ssamZHZiUVYWToDwfy9Nlz/35yquN1Ou1fAaJvGcCjaCijcPhLX/nCn/7LleUznue4WYQMUtrMokoFTmJIVF4LUiYXUmVwcmbXIvuzvFYklzZYds5ArrNMXJ6sMMaUHjf1HTdPVecJHSWzjKWiUrRls3++pwh8RcMXNBuCdsPQaaZMtBIm2yEzE0O2zC3z4P4hv/TejZw4Nckls5rJJnQailZD0QqgFaQ0ghjPHdEdGZRUuMogZfnJ7A2WxIlHpxEzSDSDrM56MErpDSTdhqLZ8wn8Nrs2xfzyj3X5xfdJHti3EYNCG02aapI0IUo0UawYRYqhL2mEisCT+J7B9xS+o3Fdk9X5GAtwZQGuMpkihKk36GapfZORiMn0cmpEAfQC8CkW2BkzW8BnMiQVNVDnybckrXjuiSZObL2L1nDs+GkvaLT/1T9++z9w+73Bv221m3/tdP5fG+BJvIIxo1+ZP/nFf0F0OJhs21phkAXAlYQ4EaRSoLTJVrJBF6DOwV6CvApsXXi0YLTtGEmzEtDqkzGAC1E+pbQSRUmBUna3cLJWNNeR+J7EcxWBb0cyNHxDK9C0mymdZsxEO2K6M2TL3AoPPj/gF/9olv0nptk5bR2WdkPSakrL3g1DM0hpBjFxGvH+L7aRSuFKgxKlTahNvoW7/IPXLPOFRyN6kc8gA3h/qOj1FV3fIfB8fLfD3u0J//HHF/l3fyS4/5mNaCNJtU2rx4ktNAsjTRjYclffFwSuwPdsZtNzTJGxdZRGKuti2dLkCsDLlCeQkQg2l2DdliyQzwGcTR3QRXItA3mx84pyd64B3JBobXehRBMnJqt5MYSx4JEnjgQf+Mu7/7cf+r5Xi/nF1V+Ym/nrTc/6awN8sLIfY/RLVue/3gjcAXHQIK+bEUIihLENw9KuVpUKUiXqoE4NWlGAXVcYunRfsq+NsHUUOajzCz/2uXKA5zUYeSYvZ2/HyetOJK4rbf2GJwh8O/Ok6ae0GhbcnVbEZGfI3GSXh54f8EvvmebZ47NsmxLMtCrSJHBoBTYF3QgSGn6E64acXpzCVbbFztpyZZCZZg0em6cMSRKzGgcMQ8Mo1AxHKb2RpDFQBJ6L5wa4zgRXbEv4j/9onn/9h/DgcxtItZ1NEqeGOEkzJteEviaIJCNPFRLMdcF1rESzdSoGR5LJFBDZ6zoYt3KFLCmEKJJDOksO5dli65BQmTY2DmxTyE2d5jGalVpRvkhjW4K73I/4xF2PNPZevvslSkr+uo+/FsBH83+M3z7fPPTUV7wkWsFxXDwnJXEsA+eXRkpQSQ4uMg1mgZ4zdQ72OrBzGWIKoJtcjuTvL/LZpCiLqKTMdxKRpa1l1iiRyxMIXPA9TSMwNHyrn5uNmE4zYrI1ZHaqy6MHR/y7d0/x9PE5tkwq5lqaiYagHUiagaLZEDQCuzhsqj/iwX2C/sgjUHnDhtXgeRNCqgVx4tAKFLde3eOhZzsM4rIdbDBU9HyF7yk818v08yRXbtf82tsv8HO/D/fv20CsJbHWWbN02YMZehLf05a93bKO3lH5k0ymlDJOZlne9UCeJ4VMDvAM8GnhvJQFXNWdV9dcNFOaDbqsfUkyDR4lpqhsNEZwYb7Lb77rk96b33Jn85f/+8cH//6f/P3/+QA36bMgd0/2z/7R77lq5eVaawQCKQ2uo4stDUqAydTKE6UhVfkvnnmh2aJYw9oVQOsC2GVTMJn2Lm6GsAVFQmbgzoqMVAFwUFnFoOuA52I7gbyswMpPaWTyot0ImWgPmWqv8sShkH/37imePLaBTZMOc03NRANagaDVUDQbimbB3imBn9BujrjnSY+VbsDUVJkmzwGjM20ap4oNM4o7X9Tnnke07aKJdAXkksCVBK6D63g4TgMpNVduN7zj7Rf4ud833L9/A7F2iLMKQFv2apncj2VRXeg5EsfJirCkQDmizEfIXM6JMp0v8v2mnhAaf+rKq9aV17EdOQd2XuCVk1tSfSZ59af9salOObc8ePmz+0784S/+s7f+9J23Hll5xU1/tdHNf2WAnz99ASFXfm5w4cQPdJdXiZKObdYVdrtzlMEYnTGoLC5gWnFKtBakqqqzM7BnyZmcvWuB5DhzF/UsogB5nr+QlRpvpcqKQUdh6zMcg+vaxuLA0wReSiNIaAYxrSCk3RwxPdHlsQMhP//7szxxZCMbJl02NFMmmiYDd8begaThW/YP/ISmH5HokF7kI5TEzRm80OAiY7esQCx2aXkjWy4QBUzlIB+lDDzL4L4nbU28kx9Aa7hml+GdP32e/+t3Nfc/v5FYO4SpIEpLHRvEGt81eK7tXXWyuMNRtkRYSZldn6wrP3+tFGYVC7Ma64yBuyChCjHZ2vssdsoILJehhSuW5pZwxua6nGwgBTRdwfnFJQ4fOvEDjzz+5OHRKP7X/1MZ/MyZ00zPbtn52U+951oRhkw0JjFY+0hgvV6jykIqKbQNMGWmvaUoty5dgl0X23b1gokKU5RZSVPdM3PWrgaV+XabdeioLJhynKwzKCtCyqsHAzfNdHNMIwiZ6gyYaPV4cF/CL7xrlsePbGRuwmGukTIRGNoZuBuBtRNzcDf8lMBL6LQi9h0z3P1YC09KXKWzIK70KPJrEKeKRDvccWPMpZf0OXyiwVyTss8xTBmMMhZ2FI5TtvMJYbh6J/zaTy7wr39f87Vn5xjFDZsMSwzNbMv3XSzInXz30plEkUiVFjuckqICcFEBOWv0SglyUwd4Bdz598ZlZy3pV7hmprAQtbb/vhQQuIatUxIvOseh5x6/9qd/8h/tPHPmzPEtW7b8zQN8/sI5Wq3OrueefeS/DAe9N0Y9gzA+vpsWNpOUoPJ0gQAlMvtPijHWNlk0Xm5ppR1V1q3UXJI1bokoFlIN3MIgVW4LWjA4KmNtx46lcF2N72p8LyHwEgI/ohmETE8MWO4NuPcZ+LU/3cRTh2aZzcA92TC0G4JWIAqv3Dov2rK3ZwHe8EOiNGU0DAiUXWRSVLZ+cs0qskDTsVreCQkjwzAWFYBrPC/Fcx1cV+IohZJuAXAEXLdb8Gs/vcxv/FnC/c/PcKbbYdSSTKaGdmIIsokDvmsy7z93UkzB3rlUyQFefN7sQ1dxXijE7KaUO2ul/LYK9qpkGXuf6hL0RfBpSoArB5qOgGTIwsLSGx988KH02muv+d/OnDl7bMuWzX/DAD9/kq4fvPj8mf1vWp4/zFRHFkDMtzV74TVagNSCVEqru7PEjjZlfbbObD+7tVG+N3W9V2ftuirMb4Id95Czd7bQpKkMB7Jlsa6jszETaQFu38vAPd1nfnnIO97f5BMPzLHQn2JuQjIXZOAOrO5uZoFlw5c0fZMxuNXegR8BEV95wmM59pjxqdVjI+o7VJra5oeO7/CqGwY8uD+iF/tMFB3rGi+0teqeYwHuKIOSLkLaBA0Grtgu+c1/tspnHhzyK+/ZyKmFKYaTDpOeoJ1omgn4sR297Ck70MjNA00piiA4f60G6tWFKUTRK1KyeHGvKmCvuF35PU0L0yBP0FEJTE1Nw5vKz7O7iOSpZw6wccOGNwVB4/2DwfDY3yiDD4dDgiC47NmnHvzn507tY6INvmdwCjCVPrwxAi3tDVSpKTJhqc5TwJRAN7k8EWOaW9RZuypLsl88Z5Y83Zy7ACr/TMp+PifL3rmOnXfiuSmemxB4Mb4X024McZwB9zyZ8oef7fDp+zYQ6Q4bOoLZwMoSawHmPrnKniJj7ip7xzhOyNefm2QQOWxu5p9nnMFzK00SJ4rAVbzkyiGJtgAfxsJ2reed66G2waEjMha3C1lku6VBMDsp+IFX9mn7Z3jPZ4fc+9wM5+IGg0DSSQwtx1iQO1kcokwWl5gM5Pk1FGXtuMyyGqKMcep3ogR5HvRXd97qPS3AW2H5NYFpFdzZv51q2yaXaskjjz/DlVdc9s9f/vLbHx8MBge/mZFw3xDgK4sn2P/Ml2k0J7YsXTj0CsUSrYbEc1Ob9s1Svnmq11RSvVqKOpgzFs9vcE1rU2rtEtgV66FqXwkzJk3yrJytGLSVill3fsbcrrK1GL4b43kxgRvRbI7wvAF/epfDr//xBg7PT+P6AZvagmk/peMbWj60sg77hm+znUGWELL1K2m2E1h5srCa0o88PKXwpCkCTCq/Sr6w06xmI0pcGu6ITZNDVgZthrHIxq3ZWMF108zmU5ndqbK5MdXA1VY+vvFlfW6+ap5f+5MRH/j8HEtJi4Hv0nIlHcfW4PgOeIqiGcLJkz7ZzicLqVImgKqkUhcr67H5WplpKtJFjz919b/Lf4I9ZylfKK6SnDyzwoOP7XtFbxhvWV5ZPXjw8Aku27Pjf5DBTcreq27dtXBu37ui3tPMTGbAVgaVDekRspIFy8FtygtfBJI5i2deavn3qgsj+/XWMboFpmSTLPsmqwCX2WeqMXeagdyOpvC9CN8L8d0hx84n/MFnWnzsazMcOT9Fp+kyHcCUn9L2TZZ6z8EtM3DLIikUZNrb9+zC6bRCPvp1h4PHGwTZBK6iXYwS5cUYB5MVJyUOV+yE7765xx9+boZ+06GTzR7xoyxuUBrHkdnYOiogdyv3yu4KO2Ylv/DDA67dfYrf//Q0R85NsJQ0GLgOLSVoZkD3pLELJ3OZit0vv665fYjV52Wm04zHncXvlTN5sRtXQZ9/T9cBbjFRJvAgk0faXrskNcTSgBHcff9zXHnlFe+685W3f+fy8uo3lCovCHBj+kCTwdI920T06J5OcA7t+8WvZmfhmdrWBVRkR8nYJmdvKu/H2JvKFmWyG0bO2DnIRQls+5oVDWXgzheeZW/bme84Cb6T4PshnhPSSyN+50Me7/nMJk4vTqJVg+kJxbRnmPA0zYy5m0X6XmZ1Kpk0ybzzAtyezV6GccTBUz79yGfKz1ycPOmU68k8C2sqNSmxQ6flsHtbhPJH9KI2Q0/QiG0BkpfJKzeTKE7uegh1keBVMTcx4KfeOOBNd5zjPZ9Z5Q8+MsPCsMXQCQgcRdMRNJStv/eybh8lRZbdJNsNzfpMDmvu+RobERiPp7Spk1p1AZREl5NZ2WKXxwKgOHt8lc/c89yeEG/b9772lmOrwxGdRvDXA3g0uIBQE3NSOh9yky+5E502cWy3WCofpP6LijFGHgN65T3ZL1sytsCs+0lMxQ40BbBr8kRmVXIqtQB3UhyV4rkxgRfhuRHdUcTXn5L86V0dPvK1GUZpG8/zmPEEk56m5RmavqHpleAOfInvS/xMmtjEUOZMZAD3XJv5PHrWcO+jTaLYxW+ZNQFmlQDKgiVJFCtc1+HOm3t88Et99p9qMQzsaIbQNXgJuLHGjTRK2TmNVkbIcrgPJXhSLUm0pOk7bJwc8n99/4Ard4R84K42j+ybYH7YYqQ8XNchcAQNCX4+YCm3V6UttSgK1kTl+mc3frw4q/JSEFTOzGuAXE0SIbLiLtbfuTNiSA30U48//sxj7utffdOH5heXX7Sw1Jt/IQy/sERRG2R3cf+LF8/cM+GlDr4b46i0aBytbrlVKObgLcEsxjR2/j1RbEuGOoPXCn9sj45l8iKlrItyT6u7DY5Ks+mzaSFHHCem24+57xnBez/X4a7HJljqtpGNgHZDMekaOp6m6RqanqHhkbG2Ze6GLwk8ReAJAo+sQk9n4Nb4rtXfygk5cApOdwObWMn0bT1xUtbP2D7IvIxUEkUOGzuCy7YPefpEwiB2CbMZ316EBV8xWTdP1IAc68zJF09uQ8aprQ9/651DXnvLMl9+vMf7Pt/hkX0dFntNutKj7zl4SuBJgS9tf6wjDY7I45rMthNZ2S9rGXxN/QqwRpdXAK8r389LnYsgs7JYcvvCGEgRRNpi6y8/ce9Ex5Mvvvn6yz5X+Wt/NYDr8KTvu/Hv6uhwC0fgOjEu6wCUsv/R1KSHqH9d6ZPUJi+ur6/4+lWrShNDtUDfyhKdaW6NkqkdiJ+7GTJmvpdwz6MOn72vzSfuneDCagsRBLhtl44DE67t5Gm4ZLIDGp7InjIrOc10tyfwc/bOAe4keF5C4EUYE/OVx3yOn20wOy1wpc50rCgbfcv1WpafZpJiGLrs3Ci484YBH3sgoh+7DGNB4Bq8xLJ4GJvKLqUKvxohazLFPmXZqKCt397wQ976yiHfcfMiH/9aj8/c1+Sep9pc6DYZCo+h5+C4CkcIXClwpcQVJpNaBoWoSMO6fTj269WIrxZ05iW4VHW4KL7O/56msitV/i4CfKF4+LnTre8dmd995sD5K4HhXxngi6uagR7+0GD5nsmts0eR2GIpyxCyuIhF5JuPaMjBXoBarmVwsj/PQG2qNkl2iarboKgAWxQnPGhEBnDHSfGcmCCIGYUp+0/DsTOKP//iBJ97pMOF5Ra4AU7HpakkbdfQdjQN19BwbcYs8CBw7UxCW2YqK0+R/bnJQK4LkHuubU87fEbz9FEfXDfb5k0lRS9qKKhu10X9dGrHOV+zO+SqbX2eP91kGAiaicCPDaEis/Z0xt65m5JbkKVWKXz2zIrUWmXTB1xGkUujEfKjrwt5w60rfOHRPn/xpSbHzgQ8f7pJtOKT+A4jx0GqbHQ14GSvOZMX0oUy+F/D5FVpUgN2Cdq0CuhK0khnrxidvZbPMBXsXxnxyNNPMTfzwlbhRQG+vNIVURz97O/+2cHJS2c0N18ecuNliU0IOLbUM46UnRpVZWpscTwFw4sKW6/D+MX/lZdGiPJV5N0mOWsLbUc/yBTft5NUkzTl3CJ88asOh081uPuhBqeXGxw+0wLfRzUdAkfRcgwtR1sXwbWD8wPXjmuzIM6fMnuqDOBkmjsDt5viu5a97cKKODoP+441cWXdHiwkCmU9eOkmZE6KzvoaE5erdg65bMOAZ44kDBKXdiwIHfASOxNQVQAupUBIWWNyqNtvhQxKZdFHGacuoevRaUT8g9eEvOzaVU4vr/KVhz2OnPT5wmNNziwGpEMXLR1iTyGktDtF1pUvyTKeUMiWnJDGnZVcltWCTjKfnLyAruIn5u/RYFKIDcQa4SRIlXDL3pBb9iTcuOOe2de+5n//5/94dOydKti1bvh2UYC/988+QxSnvP/TA6JwO7s2dLl614A7bhxx1a6YzVMRe3ZpHARJJMstMWdsY7vba2xOCfzyKlQDyzyRY8aYuyJFVIrrp8Sp4chJwdNHFF98qMkzRz2eO9pgNfQJIx9cD9Vx8ZWgqaDpaBoVH9h38jqNvGzW1oX7mSzxPIXnyWwBmFJ7u6nNLLpW5wdejNER55ckofFxHIknDU7FZhsj8ALkqan3O0aJi8BhbjpCqhH92GXgCOt0xGXBmM0/VDOPVaO9spNqWTJ5ZTCSm6pi/MQg9Ng0FbFjY8yNl4QMoyH/8GiXZ455fPHBgKePBhw5ERAnCnyFkQqEJJWVbFBB3xfRKtUMV8Fo64E5N8WzDv9Y46DZsytk61TMFbsj7rgh5Opdmi2zLmG41Fo4ff8PIJx3/pUY/Fd//xP0VvvqmX1HhdCCbtzhyaMuTx9ucdfDIyacmB1bI67ZG/Lam0NeeUOE0QLPNTRaVpZgBGjbVW20qMuSIgdXvxhC2F9cSFs3gtAIaYgjw2BkGf3YKcmf3eUziBVPPBdw6KTPQt8jTD1wPFAuqqPwpKChoKkMgcKOM1NZ4ZGyrO25wiY9quB2JV4mS3wPfI/MNbEpc9fReG6SZURjGkHEheWUL97fptvzmZoQOFIXJQM5DsYfRfKj0OKSMFTMzihee+uILzwy5ES3xdCVVqY44CYGN84968xjl6m1C6nOOpHFz9DGqfwMC3QvVaSOInGzsQ+xa61UN6blxbzsmoSXXBnyPa8YceCk5Ml9LsNI8YEvNjl6zgUhGQwd0kjl5ZsYJwf4mGWUA7yWli69UpEYhDYYLLAbzRTX0wiT8qrbI15z04ir90bs3JLScSTTLUWaevYomtRhsHRAbNt1iYqW3p9402uPR7kog7fazd/Zd7p3XZwafE8SqgY6dZgfesynCUeXY+5/JuHDX46ZnUowWnPD5TFvffXQVoglMDeZcv01Ia2GgUy25FvY2nsuiuE83YHgyaccFlcljUDy0D6XT30tYBQrRrHi7DkPLRxi46KFC46D8B0cKfGUIJCGIAO2rwy+MrYG3Mk8X6dkbi/vyyzArbIeTVGwt+dqPC8v0EoL9va8GKUivvq44mMPtFGeY+22mv6+OIPnXnjZja4YjVzecNuQT3x9lQ98ZYJ+EtDKdLib6/CYIoOcdwsJIQuA2R8lK1q/AnCdDeFxLJO7jiJxHJwktUBXKUrZQfpTQcJtexNu3RtjRMibXzlgFNtxbp/8ms/D+zwavmBhVfHkMx6rA5mpJLHuHS6YzNgpv63AcP2LImYnE9v4khre+uoRL7oswWiYm9RMT4JEYYxPkih6Q5c4cYljFykSJtunrwsaV/8O8FPfFIOfW1hl40y78wv/+S/29oaxwkBTGpQQhMIllQpjUnSaEOqEc6sp51ZSMCkHTmg+9dUJQGNSw8RUyouvjWg3bAnluiZndZlnrsNKX/HI0x6rXYV0pJ2JYhzLTMLBzgV2QDpIKXGlsGCWBl9qPGmB4CnwVDmjz4JclA0Pjm0EyBuPq+C2DJ+V1bo5g6eVZ4LvxBgTcXrBIwoD/AmJl6W9VVaVV8ti5ple6vmAojtdK6LYZaqt2D4b4YkRw8RnmAgajh2CmdeQ5AktJavlrbL4WfZnyCz5o8vsqdZZz2QpjZIkzfIGKjt8ICFOUlRscwmOSpEyYdusznYMzZU7RkRmiHQ03a7gkacdVga2/n/M412nIdzioRUYXnJdzMSkwaT2WjSkQAmZdfG7pLEkSh07mk8r0tTJJpgphNA4cqjSZLg3mHt7xyRvWBXO1AsD/Pz5BZaWlt959PCZV8o4ZMqXpMbgawgljFJFpBWpdDEmBZ0P3ElJjKabD9+RhtVlzdm7q9tS9del/mtXtjcjBDo/coGs5lSoMsiRMrOyclBnaWdJdnBr7htXXp2sk16RHb1HAW7b1qXwMnB7DkWJqWXwjMUdjZdlR103xvdjTi5o/uQLLXA8XCnKALOQJ2INg1fdhXxIqAWbHawTxS5ve+2Qj98z5LnzbfqpSzOxh9LaKkBTduKoPCdQDfby0sVcCslKgVf+1EUtjOMo3NTOS3EzoCtZJs1s3Xj2XuhscFCKIwzCpMw2Nd/1Ug0izWQmIPLzM9a73zbtjhEY7aATUSzGOJV2drzOnsa6QBbclRmUWqG1sDXzyblXbvBPvNPo5J98Qwb/6CfuQknh9RdPs7GlSYwgTiHS4KbgCQg1hFoQGQctnaxqLJ8qpcugAUjzQKK6P9dYuwpwWX4vC16ElEULmhLgCptW9oWtFnSl/dqRZDUVWfd4XkjkUJmDQnYyW9lVXwJcFrLF90zR0uZ5ujI4J8HN2NtzYqSMOH5OML8aIBwHX1KTJ0V6XtRubU061ICXOR1R4jLTCdm5acjz50KGqcMoBT8VuKnBTTIdnlA4S+VlVLVOhTyms5N2TdlRVUgjjZNqUiVRTn58ucqK1VKk0tlOoUtrNgO5yH82eszKNQXQcwesuAJF3mM8b1J14TJgG4HWKhs2JNG1qVrWyYtiQbLaZWnwJc8eJvYNAH78+AkbrKQjOo3s2IoEVGqnwDoaXA2+tqCPjCAxgtQotFGF7WMYj5jXFya2KycvybSIsBZU7rnan+sKgysy0GYSIH9ffC8j+7IUlKLB1lPCgr0GbmlfvRzoefCZgTvv/nF0IVHsqRNWfyfEfObrDc7PN3AnFF61hqPqoDCmSGvpajEWBCpGoZ1g+/rb+3z9qRGrScDAcWgkmihLpytZFkTlBWdCaMrOoTzQFIUtaa3DbKaKIZtyIHC0IFECJ5XZKXa2lifJgF4m03SRYMtPw6vmJmoALwrjckYfu+8FPEo7uZBVee9AhcnT1E7UykfF5QM+h6EiihMG4UnWA1kN4F/+8ldotRov/eRnvnrz4uICgUdWmirKMRDaFGB3JfgmTwAJkiydmttURTHNerjOn3myQIDKX4XBgcJqU1nK2M43KTWuyoEt7Xny+SiEKrCLOSgK24+4HsDzgDPX3U4uS0ymt+u15J4b47kR57qaxw41wPFwMnniVAqU8myfGEO4vaGVqruiL1UWnngcu9xwacjM5JDucpNBomgqcBP7u6g0G1waVwGOBXnxg8pEXJFJ1qaYUqWVJtUCVwtSJUmVJlWCJAN5tXgtL4eQOchFWUmal0wIdKWyNAd6hub1srnZAswz2gXQM9ctr7bUleuSB+NxLIlie/RhfyhQun3zzktf+tL7vvbK+176sjvWB/hwFJGk+rvAXG90gueo4lyb/KDU4lwbbVAaHEPW4GBqI9SqhTPfCOCCcjBOyd6mYPDxEk4nr43IasDzUk/bXJx3qlhZoorulRLYefOtZe9MczsUeju3BC1jl+B2i+rEGEHMp7/m8/Vn2kjfwZPCzt8uKgjLNrqy4m88m5kzVc7iVlumWjEcudx69ZDvflmPP/h0myj16aeSIDWECdnOVa3605mc02ML6mJMDtqR5Ri9DNypkiilLaNLmY2W0JVS5GoNkClBPsbe+UEDdpN+IXMByhxJ6d8byK5HaaPmEs5Orc2OsEkko1FC4KbXowffJUjuW5fBjx0/RafTeu0nP/3lHz5+8kLZEa+sLNEqM/cyQFrwZXMCa6WPoiJTWDfGqJW+ZosmZ/Git5Ky5qE62iBnbnsESf41GYNTtGHVWDzrhnFVHdx2nMIYc2c9m17W3uY6ecNBUnnGRMT8xVc6pMZHFdnLaoBZ9jXmzkZNgzPWrqelHaWR5sGmg8Dlra8a8P7PhKzomGEaMEwFbkLB4lIaZCKKojNrF45rUVmxJkUF5ILUyTrdVQZyx6C0lSupMqjUVjDa7LEsSpNLi7Ja3VmWMec9o/Vy6heoFa2CvLLwTRGEiyJRlSblsE+tBVJJ0nABR3R/+LobX3X38uKZL0zNbKkDXIkUdHKpI8M9OhngKEWSZiWT0rK1kaa4UVKDFpa1Vb79QbH1MiZPRPW1AvKS4Uwd4GPvxzVnDvrqbA+lRKnFs4q72rCbDNiOEqWTUtiBtuPeNiabjLnLANOpsLfvRjx2SHLwTIBRLkpKPKlxxus0KgJ83EXJn7U+VVNlK0WcuOzZEnPVJX0eONAgVh7DRBBIcFODk4hMvmVdOEmmw5FWLoyBqGRxUZFGeV9k7q7Yepc0n92eSb8S3HktkMnKBHImp9g9cvbOA8xy1sqa9N4YwKnUMFVAXsnGFsfTFE+7gOcXB5y9MNqzcxBdGo6SL6xh8LPzKwT+iDAM8VxJokuLpxhgaeyHJGOnWksSlbFq4x9+LG853shabOXUt3VV1HyXtlspWYTtnhcluG2QKYpucacAt6wBvDr8x3bbUwC7yFYWzJ3iOTaxY7uCYgwxH/5Kk8XFBsJ3rO9eXYTjNSiV3atWgKTrrFrzprUijh1mpyVvubPHY4c6hGnAQHk0UqvF83JWJcnAne8VOvPEqwWnspQA+c/MG78rYzzsU1oJmu9K2hSJJbuzZxpc5ucd5ZJEFjX6dZCXRXP1ndyUbYmFXKnEC1QGf1YWf94hVv1vwlgwHA4Jh/OMwtFaifKu934chMRE3WwMbjY+La/1y5w7mTGQMJQ9c4xlYmub0UXAXQF08VoFdJXFa+PFSsaWVQZXosLiuVyRKKcOcM/JBgC5+dGBWYbTMbhFKl5n79Pa01G2c+e54/Chu9qE0kNJlWUv6wtxPIO5jolQXK+6Ds+0eKpIUgc/dXjLa0a893MDnjrSIFYuAynxUp25R3ZyWHmdjG0vE9X9U2c/q35uUZXJU51J0ZzF03yshLZSqOjbzOeyiGJBJ2N6vKwjGm+QqHd/5eeG1mKTvBgPKp817+vNK1PLi5o3vbebimj1AAeePEmSlhLNsf/oIWBP8xN/+bu7H35siYPHIYzseYm6YmPLzKoWptoQWhZLVaXJ+E2t/2KVlT2mv9eXKKIAzvg4ZFlh7DzIzKc2OU5+yGumvdUYuPP0vZs3Jms7M6RoEct7OpPsGaPciIOnHXqRB8rJ5IkZK48dX7j1i1EfaDTmhWeeb5n4cWi5gr1bRzx1MCLVPkPtEaS2ZtvJNLgSdr5f7niJAth5Q4Qu7kqR4czqYZxisKn9ntKQSgt4lZ1OIXU5ISCfrpXm3f2FAWBKqSkNMgf0Olp8vfqc2uJft0mGgrnzncN17CCdMBYcOaM53d+0++0/+xPNrzz69sGrbtpiAX7i5Dl8f/U1c5uDnzu9vMCJ+QDfGfuB2T2SuVcvypLHdYtLxr43rr0LAMg6EEpgl32MqsKKqjZUMwc5ZY20qoC6eJ8leRSZF27BbQFcDgVyq/Kkyt4q6+v0IpZ6mv/3L9ssDgOE71p5Ik1tVykH51y8IqMAOrZstmjCLhjcOipJ4tBpOvzM9/b48mMdFkOPSDoMpcTLeijLkQ8Zg2d1PWS6OC+jNegM3Lqo9CydFZExuCmC9BzsSoqMwa0kSgsXhUKmlDq8bCcUFf1dBp0lwC92bcbLbUsbkULSlAOerOs1PRGxMrpAY+qqn3vuiefuM9Hg4wWDf/Hu5+k0Pb766Ck++gDMeIK5NkVKWIwBtVY49EI3sQro6tdj7Jb/sjkwZC6HahKlPpimALYUSFWOH1MVUDtS4mSSxCkAnmtuXQSVrqMLcLtOXn9RZ29XxXhexJ9/xeXZww2QLlJK/Lw0tmJtFmfEZ7/kRasJK2xenFRRkSmJti1nSeJyzZ4Bb3zZKu/9XIB2fIbSw5eiSPooKYhFPgJ5LZOLKpPX2LEyykOBMnZX0MYOS81nO1pWF5RjJcpZNOVkWmtKCFkHeO6I5cTGGsCvD29BHezVv52PBswnKMxMjHjN7BLzw+cZLirA6nAH4BXXj5idTDl6JiVKHFJXEiZlLUGx9UrW/PAqYGukLbIMbQ3UomTvsf6+mmdcBJaiZPOCIb8RwGUJ8CLRkwPc2DnZmRRxVemWuJXhQKXmtuztOnZq1XJX88mvtlno+hBk7omoBGMXkSjkNSJj93Bd2y63DLVEp7mb4jDVUfy9Vw74xNdHLPZ9IuUwTGVmT4rMvRFlM7Ys2TIHtjFl148u2LzsdndyZ0WJMr+h7WuqKK57FeRCikr3fT7EM9Ph2avM7nU92BR1sFcmKBQLwWSBaIGdclHk7o2jbF+sFAZXCs4sKo4u+XiOlWROd+lZOlNzu5564ss/+8T+k2jjWPmxjiNSY90aS4vK+3XYu+omFP+9KPRZdeDjxSSKqAG7Pvu72uFih7tTB3d+skHO3KrC3GsYPB83UY6ccJTNXB49JjhwPEDjI6RTNOeW1YPV+EFUXI2Suqq1KCWTi4o8EYWTUbSbpQ4Yhyt2RuzZPGLx+QYm9SyLp1amOBUXpwzuqoVeeYOBLO1bk7G5KX1yLUVhHVZjG6XtotGSTHtnCS1ZklEBbi2s/pai+Bz5jiYoia0kv4oRUSWDPFYrcCcQxgayVSa3nVKGwBdIcZhLdt74s9dd9feeePkTB485R08LZofRpgeebb72s/caJjwXT63VUNVBMFWAjmvrKqCrRUbVyUj5h81Lh2tD62vyRFScCUEZbJaAtgxONgq46oNXn9mR1qoK7grIs/Pq3aw0NGdvlX3tODFKxXzmgTYHFxrglfLErViXayUX9QszvhmbqtUqKo5B5XSzvIw2crhkNuL1tw54+LkmaJcktVrcTbPsblqXSuUume+tuW0oi+x0dUhTPnbPGIGR2a4i86e99mm2Y8gc6DrfYU1BTDWpgqgvOpHv4tVh++PsXt/1czlT7AQahCpzLjqrQoyTJtdsWaW5Ub+20+lvmg3iY067oWl6KXMdw7YpQX/Emp7CmoNRDaAEa0E+xtz2tSJFKiwusy/GtXYpU0RRBjoO7ILNlag04VbAnc0nLI/tYC2wnXJAUDHizdEZyBMrT1RMoxnxwH7Fx7/aYjjyoOngSIEr6tJk/PNXF/S6AGdMf49ZhlVfPE4cJtoO33PHiM99fcBD+z1My2WY+niCYqGp4ueXJFUXkBbkVfPWBp/ZAlOWzVNp9biusHYe1GuZB5Wior9FBSMZSWlR+RwlWGs7eMVRyUmuGoRWcWZyzGTJWiEqu16qCCOPC4uSicBBtiCJBE6YDgm1ZGSGRCQIkZ3lIk0RYJRJlnoQKMZuYP7Bxz3utV/X5Uh18lP1fSFFRAlqWUgUC2yZp+llJSBS1bJZg+OUI5Sd7BAmR9WB7hZsbZ9K2QDT8yLiKOVz9zd57kQTXBchVQaqbG5IJbgUsr7wx2VajuzSYs3KGirJjLWVdNYujCKHK3ckvO72Pk8eaxAmHql0GWqFlzL2WQS1ktUxkJuxz4LKF5tGK4HK7TkpMMrmPHLpUuyoEqSuzDLUVNh7bUxVB3KOicrnHJO/49axyDohq2GoFNL68ELhuxrHGWBYJk27pLqL849+8Us4jmJ5uUe312RDK0sgZDXV1ZT4GplSlSrZpyq1Vn1Vjq/G6n9XbQqogrhk8fIEglKaVKzCgrFzgJeTUwuJkjG3ZWxTMLVTvJbv3Sy4dFSM70U8c1zwha83GQw9aLlIkVcOUrEH18liVn73UqyVtSh54X99kPxYwqdSgBXFLu12xOtuC/nEPSOePOKD4zHSEi/T4krb0uayLgREmulcIex4qKo/ocp4y8m3fSMyYMtiV8mDfC0t2KUuE212hqCpkFHOsGaMvEztXueSpJQtddKsLgItDFILjKwcY4OE1GZtpTAMQ8XG6YCp9n146ZNoUpxkZYFUSNw4Zq5pZ394uaVWmx89HkCNra4aU4tKMHmxxSDWAKGQIyIPKscZ3OrtajZTqazCMPNEbTtX9t6pzgcfA3f2dPMptFmBv6MS+3RiXDcmMSmfvq/Bvc80IHBA2oZmt1LCWyuNrT6rX1xEg1ensZr8AABdOiqpljWghyOXV1wz4PUvHfDs8YAkcTFCMRQObkrxmURasrioLa21TF4d46BUztyWze3XAqlFocMLPGQOS0FKOYPLUmKKCrjlGNFV469ylzNr8JX/t1pkiyvfTRRFg3s5XKhJrDWO6mOMwdnUsasvjAzDoT3qomBDlWvdum1XkxfUP0xVqoxr9UKPF0GYKA6Nql+QMWDXpEo1TV95qjFwq8rTKQ9BzQHtVkCdOyfWMbGvSsV4bswTxyQf+kob8EC6CKGKLiKVHaQqx69J4X2LIoiqA4xaMVrJ3BUNbgQ6ta17ti5aFel7Yxze+qohX7x/xCOH7SSBWCsGqcgKvrL7lebsWJkQVosA7O6Bogb0/E9VBnots/N88qBYVzLLJvtZphI36QowZYXAaqydE6KoJ/vW7PSmQn75zxKorHFZi/KM1SSVRLEkTAKUci3ArWMiwDFI35aWXiy4rH7YdbeTcSmS6/Ga3lpfd5ffE6WGq+nu0q2ogVzV4wV7NIepDMAvwV1j7cpr3libSxWlElw3IU4T7n6owdOHGuC6IG1w6QlTmRxbDazGdqUaoOrQMpU3RQNEpUakVl2YSrTKHJXUIYxcrt4z4hUvtiw+TC2Lh8JjpMFJcz88q1OpOBGlRLEfoFo7VLUulQSjTAYmbPbTCIQRNtgzopQqeVBZkbDFTp//eTZXcg35UZUz48RYWp3l7iDW7ByphiSxhWBSCpooXNc6Rc50x47/iiLFYCCoRrFVhpU1PSXGthJRAzsF0HMGEUXiociwCTGmvctDkGT2Z3JMGslK0KtEecBUztpVgOevNXBXhuIX7olKUU4F4JlE8ZyYg2cF7/tcmzB2oelm8oSiNU1VTwmubLsFe7+QRDF1oFdlSvVwAG3W0+IOLV/yI68b8Ol7W+w/bRdfqhWDVNkqwzRL/mQZN5Fm92xsJzE50CsAt3VGdsHJTKNLbTDS3iMjhQW4rsRKOZPr0hGry1iRAXk9hl6PHCl9dEFW1yLtvy9N9nNKFyfHnNGCMPFwHMvg6gPv+383Tk94/8+ZUyeuwOTFNPUEig2mZN2iy8b4qkIrV9yNi7yOP1W+9cn8yEGRzcOruCJjz3xkQtXjLl6dUnfbILkO7upZPWUxVXb6gxMXzQyuE5HKiPd+qsn7vzAJvg8qQCmHpjI0lMnGUVAE426lNa7MpFavo6ScDEstQC1jidJ2zBetkGSNv2UvpJIGYTTbN0WcXpA8+rRHIiQIhRYKIWwp7TjxVB2uYlcxxbvya1MRNRnY11sMVYlVSC2qlYAUAxWMWed7xdGR40Na8xod1v0zPebfF+eOJoJhJFnsSqY3Xr9p667bv+QszZ+clHrwnb6rCT2JSEw55WE9R2A97b1Gh9elSBkhjx9TV/+62OrW8eCrzbxV5yLX37kkURXtrYqTHioHUSkzJknySsGcvWNcJ+bAGckHv9zEzl+x7F107ssyLqmOFy6qIscCTVH9ogDQGDgqN7M6V9AGnllW09jO8lRlWjx1+P47B3zs7ib7TrkgI4yQjFIXh6xeJL/WaYbkNE/85GCtSCdjvzZ2Ak3x2fLKUVl9FgGf/RlGZ/64zgJUsU68Vnmvazv+Whkri5jN1HeB8X9LlwtWG4hiwcJSRHC++53D6MSks2vzMdJwlWEYkmqvtPlyp6NW7VcH9XiaPQdyAXDqYB5fKHLsItQCibH6attFkuvvyvscyHm1W67BK+C2E1l19mrtQKU0Kve7VYKSCSqTJ6lK+NR9LfYdLLW3FNJ630UHDeveQBs8j8UhYyqlVi2X6+8q62kxlvCxne86tTMB8xR+FDtceWnIG17a5/AHfaJUgXBIhcNQCJw0s++KQDd3VETlU5gyBDa5LrdBnK0PsdLEGJNp8ewpTJniF6Cl1es6lymyCuYStFVgj1eSFoCntJvLwaKlnBnPmZR4tTt3M0g5vbDCqS44n/ham3PnIk6eS5masJm/qgddBWqZgawCWtRXYgFuUQsqENRXIqwFyThzj7F2/nXO2jnYc+YugK6qTF7qbpUHkfkRJ1LjyHJovlIprhtz5Kziv3+0w0i65BO0yq75bAep1kBXd6/iwvCCj/r2LYqy4+qWXQaasqgVz8GdaockdfHThH/ypj5/eXeTw2ccUDFoh1i4DIVApWWQJ6vB5hjIc2/eAE6+4LLvSWOvec7mMgtCtdFWi2dsroVdUFra/6YK7CrQi+e6mrxk+GLnJ18MdUKkAvicCD3HsHNzwo7dkmZH4YxGHlHkFuvaesylLVeTIbLOzlTBTbYwGAP6eABRi7Lr76vAFmOsnSdS6uDWpUSRdQZ3av52Buaa3115SsvirhOxGmn+4BMdTl/w7Umk0kUImckTU/O9i/dc7EbVjw9cF+hVqVI0HlR7NPMUviyeRTOEVKSJw9a5kLe/scevvc+jG9uAwBhJqJW1DdP8cxhIBaXCLkFe/r/9E5WtQmPKnltlSjY3xkqggsGNvU/GxrT2tSpH1ux248bEuCM39me6/r26EsDuOJm8wkhc5RG4AY4dlGPHmTkORRdMeSBohZGrMqQK2hzstQ9V/nnhf16kIKmQJrLCNgVrl1Nai8L+zH8uAV1hckdnjK4LaWLliF4jVZRKildHxTh+zEc+7fOuD3cItWvliVCFPCmaiscssZruLq5VFdbrQ9yUBFqxCqugz1P2Bq11kd0sUvjaHgUeOAk/9eY+B457vOdTVouDIhWSkbYBp0wpGLwswMpvVpm6r9qVFtylZDEmY3ORVx7mbG4QWY+nlGWxVdE+V6lPH9fma5KDF5EsJc7WLgQpbK26k8UGobDjJJJE4viePdWg1bBnQOblpiXr1lPx49527QOy3iq7+Peqae1ad0gB9gq48w6O6pGBquo66IpUyUFcYXJZVgfWX5PM945ZWoa//HKT5TAHtwW4K632dkRdntS3x4xNKnguYF3Bd1VrF1Il+4NaVd/40Yt6rE5cSpRWaO2QpA4TXsqbXj3gY/c1WewpkDFoRYzV43mVYWHx1pbaxZnc5oHKpFBenyKN1dx56jxf9CZL+NhAk7xHfR0clGBH2PLai4Ed1gK9qtXzf9uedW9Hdg9DhR8pnIm2QxK6THYcAt8hH3VQBXTtiAoxJlMutsXk4B/7/nrSRIyxYlEwVK3xKALLaoNBPajMh9OU4E5rrF0yd87aJXu7zYRPfzXgoacb6Ir2tk0NuTyp15sUrVkV9q7GGlUrfH0Sz9izsMZKiTLeDFE9czQ1EmVKXzxJXRyd8JJrIr77lgF/8hkPVARCYoQg1A5KCDs5LA80RQnqcbmSW4PGWLs2Z3YlSxllZKVQTNoZL9WKSmPK2ESP3eu18sSga8Cu14zXcFch1TWAF/bQLmMES6u2SN6ZaklMLJmZUEhpi2uqjcPFjahqybEbN751FD/4Iuwta9ZPNbis9/eVcqQEdumimEyLG5xsxFje4WHlShXcaemYSF2exiate+K7MYdPSN736Tbnep4971raQe9KUJ7YUN1xxneocV35wuqkZHPK671eM3I12DS1rnt7fo59tcefbGyl/Oh397nvaZ/D5yWIGFBoJCMhK4dIWaDloBbVm0llaFP+/0U2M7sPVTavgDmvIa8nBe17IysLq0jeVBwSURJpvuCqRgbZ4lxvdzTlR0UbQxSlLHcTpKtxJjt2ZsDMhCHWkCRrzw2vor0qLWsr7AWYvLigVWBQtQUrlW9FfXXl/HmVf10ydWkR6opcyd+nxdDInMUdWdHdMsXJbEHPiwlTze/9eYd7H2vY3jbpWO0tpe3aEeX8leKz5otw/HcdY/LqtapifW0Gs3QtyjPeq+Wz1TJa226mc0cl1STSQSUOr7gx4iffusov/Z5HmGQBlpYkmasidXWHNhmQKjfY2JY0Kp9PSeuPq3xR5glBk9uDVqLlCyAPME0G3DwYLerBM3tQ1zBiavK3/GzAuKTKgZfbmtln0tqQpNDrxyz3Uhw/xWn4KXGQ0m5qwlgTymysrq7fhDEyX/P1+mxu1mXycmVXdWw5RKYKfCtLdMnmY09Z2IPlBNRacClLWeJkM66L4FImuF7CVx5x+di9TcLIhYZTaO+CvfMAtyZP1mHuCooLsFeYaJy+q4VN5diyKrjBqLzKsF4rnmqJ1Faq5EBPEodGM+FNrxhy171DvviIsrYhEoQkFg5DKkG/yVrLKnLFyEopb2WXUYU/nv0dYzBZU0T+ta32E8X9zIGua/fd6vI1O/06+Cl2l5zRa9RtSmsVOw0g1RDHmv4wZRRqRpHGEViABJ49rk1n/XRSlrpwTK/UfoiofmssECBnOLkW8GtAPsbaQlYci1ymqHLCkhIV7V0AWVeYuwL0yjD3QntLOyV2pW/49H1N9p8NrDQRtiRW5NpbUJkgZdaAu5Asxe8tajflGz2sFy4KS67+LKetrh0OVNaoSKmQOkVqhzh0uHxTzHe/rM9D+zy6UZZ+1VaPRyjycyDq4K5o8OyzG2xyp1iQ0rJlAWpswkdmOlyIEvjGVDuLsj+rNTaIrIakEliuMy9FVLB2MZKwhGBIU4gTQxhbJjcGnKnOCGVCfC9hGPkW2JWlWxhI6/z767H62mi3/NBldqqeIMm1typclFJrizy4U7kPXtXfuiJLdC3ILALKPJFTdVGk7ZTXpPzxZxq866NtjHCs711jb0rtXbMG1wJ9vSD8ohiv3JgqS9b1d87ka1vZypMPNDqVaGl9cSU1ceoileanvmfAoTMu7/qYQ5yUINcIQiFROh8kkYG72tpWgFpYHxBAVr+d6/BsbUqLEykyTZ79nXLBm9IjpwR+0Ug/rr/FxS/dGrjX4hd7zcIYlofgDATOwZMxq6spZ+YlUkqgbHka/4fWW0vjZFUkFGCNNKkzuClGwYkKc5cMXtXi+biwtY6JzMGtxuVJ/cx6lZ09YzV4jOvFHDon+djdLfp9FxpqLXsXNd8VZ0eUCZ7i92Lt+xzk34jDa4eOVcFOJaOZVxhmTQcF0GUOdImWVotL6RDHKe1WwvfcMeBzX2tw6GyWVLDDqUmFYJj5Y0KAyI8QNiXYTQHqzC0hS/7kizh3UkT5mfNMZt60XCU4Y/K670rlZRb0Vpn7m9v96mxbldCeJ9k067Bzm2FuY4rz3LEZustw4YzLjk0C3y2Duov9k+udJSWqq67G6KZWL5D/0tUy09xBKW3BDMz519n3CuYW1cHsFf1dOW5DVmSJlJljkjG54ySEseauB1t8+fGGHQ4uXQvwMfYuHBwh6sEw9TqcGpOPBZjf6FGw+TqVd1rb7T+XKSY7isTqbl3KFC1JhUSlEi0Ucejw6usjXv2SISc/6xJqq8NzgzrBYSSwjcHkDoXIbRBMNiNNFXc1d1SytSIsa1uAi5r/bfKgUopCbxthsveihoO8NgVRqGxyq3D8Ir2giMhMAM+VbN/gc9sVTTZvauJce+WOlZPHk8/FveDvC3TRsCtlHdnfCOD5NVjXmBf1lSsrwK6Cvag9yYc5FsDOgV6WjVadEynX6u2qHZin4qW0nTrSS7jnEY9f/6MJUuOUzolUCCHtOUCiTMvXGbzq+KzP3t9EErN+bcerC02ZDi/S9+RTr7JiLFE6KoUml9YbF9ohSTSel/LzP7bK/lMO9zws0Z7IIGt/gVgrhmSyoUBRxuRKlIMAs1+k9MKz5BvZX8+ALkUWKBdyJB/8I8rUPVXjYdzXNt/c9Vrnj2S2QIwxJNpjFE9+zmvuWlG337SjH42WDrca/KTnxPie7URXtYbj7EYXNSqZFi3qRPI/XycLWYB2rEF3rAa6tP2oZykrxVO51i4KqqquScHgael9V+pOVKXX8tSS4NffN8F9j7fsoTzSy0piXRwpaEjwJdkhV2Zt7XbtmfWsFv2r9Vr6vOZdqrGGabHedRNFDU5xkKyoXuOMDCpzAPO/X8q+yp8ZmJ1J8B3DQ095rAzl2FYjiyniheNDHvBVGPWbWq2VhTBGhDXplY+Nqy7sakxSjJVbZyczplKbUz2unOIQhkRrlONx8tT8jz74yLP7nS1zEUIIkiQmChOqNRT1JIQoC98r6eV1mXyM1ajqb6opeVNj8WK+3Zg0keOaO2fxGrCrTko1sMxKYbP3qZfyvk9M8PGvtjCBAqEsOoWDkLLWb+msYe+L24PFDCux/jWpftuMXboaIApWr3fbj3f46Gx+oMmY2xhd1qgIidSKVDjIYcqbXjnkuSMu73y3Q+QnNaPeaJeQrHYmjxrztjZR1odbmrS7h5IU7J4Tfnm4dcVVwX6/5jiNafDio+SlMeuAqnp9xg9YqEsXax3GaYLr2doYZ/NsDykFYahZ6aakRpGP880vtK2JMHa15xc7/+1eaB2/UIBZlSgV5imBXb5X2akCeUBZPTOmfKYVoFfBnSKLmpOULz7s80efbTFKsyn4IrcGs6ylMDXtvW5qvgp0qoAfkyuifkXWe5gsuMu95zUZTcyaElojK5lNWXFWhD1TScusOEtqUu3gu5ofe32f+5/0+OLj1i7MvXGkQBuHMM2CTqwGF9pkjkgegJIFltnnFsJ646IOcinyhZA3QpTXy4xfq2yXuRgv1AhhPClmxr9nSxySxNCNDHlWylnpedikaUTgRxhjiuMsailiab3GPIUsTWVlr+OT55qqfvPrs/NK7V0eZFTWotTPgqm+L3W4LgE/ltTJQV4EmE7MIIRf+cMJjpz2MU55WnJNe+cSqQbsMUCzDpgLCI95XC8gyM3Y5atnNKvFV1U9vrY2Rcus4lBWWVwhUo0QDjLSXLI15t/+eJf7/5VPb5T9MloWnyuV9izOPJgSxcfNFp4EtMgKr3JuEzagzINLXYJdyNIqLDT4GoBf5DKNobsen1BeA20KqZLmMiWFjm9oBNoO8p+dmUQIhzTpEo9WMDgkqa3Iyo+LSHU50qDQQ2PbxDjA8w9dCypqgM/BrEvdWbMLcyYvZYlSOZPXwe3UXJPK6byZ5+04MUkK/+0jbR5/PrCet8yZu3ROXFGXJflrvY5mzCKsuSeVZuqLcpFY+63KjaMANWUxkxHFKXa1akNhGbwIOrW0IE8lWmTPNJMqWnPDFTE/831d/sufTxKlGdVCjkZSFKGuBJ3SlP4fppAoBnttciY3GWOXnji2dS1n7grQs8u0pqxjvfiyJk3y1xzUOaCz0ykSDUkqiBLD3IYOM9Nt4iTFueK670K5HfpLj3Du6H6ipE0UKyJhD6FKU3vSsI3aLYuLbOvJFcqaKbRrnJTqEM/KCQAFe69l7dr7KmuLMf0t0+zP03WeWWAZpHzpQZ/3fKRNd+iCV3reZE261jkps5blKIi6Di9r2teZQVgLy0TxtVjnrpmxm1jDew3oJcjrrJ1PhTUZ+KtSxdqIqVRIo229SqLoBJqfePOAR5/1uesBBc0kF872h0tBoiUjygDTYA/gLW2y7L2oaPAC6KZkcZHbg+XuZ6pkYSp5gnUlXX2HswRrCoItWDsDdphClAjmVzXf/9ZbeM3Lr2NppYcjs65Z102YbHcZjFwEXgFMKUCkklRguyo05Yy4SgBaJ+96VqoqTfIjL0otXpcqeSpeFGAuDx8tpUm61u9WFuiyUiUoZYJ0Ep4/5vDfP9Th0KJr2+BFRXtnFYNuNuukcDbWCyoZY24qwBaVBV3ZxdY8RIW1qyAf093lDlkpSx13FipgL4JPrdHStreJXKoIY6VKbNgznfBP3tLj2DmHg6cFxqkKLAHSJc1AXvwSWVBpqIK4ZHJTAN1KEYSpsDe17p5a2WyFFEwJm7XsbUqNXWXvJMV202t7hMlKJFgYarQQBIHCHSqc/Sclnq84fRLixYjrLgmJEierWKtYRkKQiuzj1C50JQSusXg9m1k/1qLqopgC9GWipw7oXJbIWlBZT+ZUg0upUqRM8PyEc13Br7y7w8e+0sS4eTr+hdm7rPtem5IfLw4aT+pUGb1WqFP5O7WrNQb2/Htra1KqOjyvTTFFhtPILAGUdQDJjMWtVFFooUlSjSutq9INJT/3m4rzKwJ8UTK5EFamGslIV1akFJlzkt3vTJMbCUqbmgYn6+IxFCKokCZGUm+CWJOiL+Be7mTZ+7Ry7GEuSRINcQqRFqyGcNUly9x6VZfLtkZs6IyQZ1ca9JPWuYcOznzh689fy1LXtVIi95tzMIm6ZVeVELUzyqsebq28tTz+uR4s5u5I1RWpnKorxt2S7POoeqZSyhSZuSZ5rUmE5lNfb/Clh5tZrYkqgF1n7/LU4Oq8wXWLqSrbaa7Fq8AeZ24xTknj4Ka8gbUbmqVJjK6CvGTuvNOnOPJa1yfS2pETeSo//zNbcSiM5DW3jHjD7QM8kWY10gmY/DXFaENiYKQh1JYlY5NNkcqG9CdFcGe/rkqH8lAtan9W/J0xwJbedsnUpsrYuv4+/7eT7PMYA9NBwtvu3MAtVzhfCJr+uU1zCvUn7/5tfvhNL13ZPuOu7Jjhh3R8nsC34KR6oUtfhNy/LBMDlW26aq1VvW1RSfBUHRJFZcFo6iWxZUq+WkxVY+5KR3yhu52EVGo+cW+D//tdExw962dNDGVCx9acCHwJQZ7QycbA5bPFy2ROJfEloBwpVx6rYr8vKY5VEfXBR3YKk6wnbsaTZRWJJMauYb2CsXqNsyHz0hR1PeUZOdUgWJQLThumOylXXhpz8oLi4AkHXRXLBedaS1FXpESdbi/uEFW/b9ZZ5IVSq+i0ekJofUswLzxLKiweZztNUyXs2XE12mz53x9/8sSD1173SntGj+MuI2WAVou0/CUm2x6D0AXsL557rUZYWwhBlgHLZEgRdFRkSX6xxdrXar1J6ZyUVmD5vvqqUWK8xiSXLbnuztjbTTm6IHnPR1vsP+xDSxVuSZHYyZI6XpW9qVc6XrRjvgqc/MaLekC5ftln6aKsl+yxRKLHEj5jwSbl13n6XorsXHeR9UlWEkJCmEKHS5F35TvEoeGKSxJ+7Ht6PPy0x7H53MTOsZ1LUYcEQZiByGrwihbP6lZU1oxqZYopy2mhaLKg0N3Z97O8Um3zG9vp8t9ZM5bBNJbFo1QwSAX9CFpexDBdoTtYZjAKgewQqlBdSavZ5JGnhwyWHuEfvb5LM2hnrVGGROQTM9ZZn2OfqqarasFkGbTWfO/iva4EmKYAc+mi6KzIqg7sXJ4oYXW346Qs9QS/9f4Odz/egCCXIzmwS2niiew0iyKgLLt0lKgy5trg8qJW4Qtw2cUeVRZb4/sWr1kKW1uS0dlsQCOyfsgs0ssDTyFyY8AghC5sQyGUXUZCkw40r7wh5J+9bZX/+IeS5WH2OfKsTAFqRWxZzS7oPDuTgTzX5yaTd4Ver5bYZgtY5hpgLMGTL/11r10NemUuIDUQaVgJwVU9fuDVi7z9LTczt+Vy4nhgfxUAN9jGrTe+6K4nnxv9+pce2cp9z8jCfnuhR9U1qGWnKg5EDpqaFq9peD2mxytMLasxgM6ckrQIKEvHpEzojITh9z7a4t0fadOLK0GlKIFuZ/dlx29nQeV6JbDj2cuCqSuUI8buRG1cxDeB9PHu+vFaDdZs1fUz53Ut6KRgbqNl0QWUt7flAzy1yQcHObQd+Mk39/ipN/Vo6MRmSnRVk8egU5sCNxBqCE2mycd0cFrR1rlG1lUNXnxfrGHjNZnJ8cW/DtoN9udGWnP7NV3e/PIWLRn++tzszXdt2bypBPgdt+zkx3/2HQOi1aMvvarFnk0tUu3ULnp+Ace5vHQNTE2KjKfcSzlSgtfaeqYG7nHfW67jlsgC3LlUSZAqAVfz3GGXP7uryWqcTcYUqgZuhESQg9usWYjlgaZ1sNfeV14Z+/Mc2HU2emGkl+1qY5ZhHv8UQK4ugrVBpy5OMK7YhkWQKdBaYSpzVYxWJLFD2zH84Gv6XHlZiExTMPkzqTxLkI80RJkOzgPP1JSgLoEuyuBwDMzluaBl4rBedJVdiyqJUhJnfq2lAE9KDp+Y5rH9mzlzJj5692feMRDiCqByVv3P/ewbkE6DpdN309CnkSLCURqTDRZPU1mWZVaDhepNzYFe8bVzqVLT3BVrME/clE0OpXtS19g52CtpeJEWXzuu5qnDLj/z61M8fdDHuNVCKlWCW9ha79z3Lq3Bi6TmLyZTKoF1eRPGEP7NkXhtCy7Yax3fu2Ruk2UKK+W0+SkMwga4OpvlLbIeTqGtNChkirCD4xGWlq+7NOZ3fm6Fn/xVYeehe5TzHopEEBgUCYJRRX/n9eOm0OFZpjMfEqNLTZ7bhpLcN8+Ks3TxTdZsgvnlzP5cYXCy3s9YW/u0t6roJlezcc/L6fVGwL+uA3zDhg6u26K/pLlwtstAG5qOslnNyCFOZXGRC94ZW12lfTbG5lX7sBJk1li7AugXBncuWcqEjuOm9Izgdz/W4onnfFJlwVwwt8x9b1lIk9pJCOuxd+YI1YNKcXFGz6+FqN+gF0K4GQN2FeFFEVaF1dcy+1jNuBHIzAfPDxMwWWYzL2wqwJ4DXRsEGic13HBlyD/+nj4//19cekmGjhx464Ccqv7OwS6siwTUgs9ck48/RAZyTdYdJ9YBefZeVeMjDImGVpAyN91DmAS/JWm0pkgZFP9tAfCFrmRqQh36wqOtwx/+7CV7oijih18luXqnX4A6DyiL1CvUJhLl8y7Kmz6WyBGMAbjK6N8I3BV5Unk6bsoghfd8rMWHvtQizMEsyzqTnL1lBu6cvXOJsm7W8mIOSnVFVymGMWB/Mwivk3fFSbHor7F5jrUxRtcmL3zLQJ4FmDIDvDACoSVCaFtyoW2mRegsw0nG5qnBE4a3vHrAvuMO7/lom36MvWBaFOyZv18L8pyeTcnGZB96LPCsPnImp6xbrO1+9fFu2VPZMv6mDy/fo/m+V0Y0Gg7bL0kPz07LQ5PtMnbM2+z47f/6X7j2xjsPT3cmNsSrvTt8PWCiOYGjFPkhP7q4I2LtD62wYdEoLL8JcMs6uOtZSW1T9uOOSRZYOk5CP4Y//FSLX333BOeXvEp3Tu53Z4GltNWCvsxnfJvidGCnSEpVz/8pGw6KBVBt+Mi/rn2/chiAyE8/WPu98ZMrajPRZfm9YgRxPhZuTSBfD4DzeS1ijGiqmnVtyUG+H9jc42Qn5aarYlYHkmcPu0SJWIu6In0rigUpyO3iUqqNF52J6pY/9qi1NdZ20bIpxB70K3AdQeAJpjuSTVMNhGnS6uxhYvrq/7aycPIPNm57yVoGB5iZdPG84DNX7vbeuH26dX3DhzgRhLE9/tkxBqM0TiZPbD1KdSTvel5xCW7xTYBbFix9ETuw4ndL3/DxLzd5x7s7nFt27ZAbOa67Vc0WdER5vk4O3mKyVg6IdX8PUQPGuINSvcHfBHGvofFagFnSud09q40ma1L3FPpXG2GP0S60eVlpKDJPPPfGhcmeWllGN8bOMgwNm6dS/s1PdFlclXzg020I0kymVGhXA9LBIC2TZ2xtENlR2zlji3KfqkgaZOmH5ziqFaNUF2NGIjkBOfmwWCVY7KaMYpdIek/svKz1mUE4WrNDFI83fvdraMSfv++mvd1HbtgbM9VJMUYQJfZ4iCStT1oaL7LKZUrO4kVBjbDgVutYhOuBu1ZrchFwq0Bz6LTDn3y6xdkLXgnuWiFVGVg6lacSZc1JDuiClckWZeV3qsmSYiGLSmA9Buq/CrjXYr1iDYpKXXjdQqtn+vLUfcXxGp+lsq67Up03bgd5aqNIIsnm2ZS3fVefPdtDiJLSWdHjaX1t+yANhAZibetCEmNT+EmWys9969zKrNV1Z6+1hV4BeTVr7GRHxTjK3tflXsK+4zH3Pt595Bf/8+fuu+7GOy8OcIArLvO5cq+PFwzo9hOGoSCOLbhrTRAG6h5lFdB286rJkaxCUMpvzNyiBu48oMyBnqA8zeEzDv/+dyb5yqMBBLJk7eI12+MrnrdTjKIot+319Pea9xnbrDumrarVxtZBPeNpv1kDaO0ainV7GIura0rLsArkXDqWXT9Vr3ysxFZXnLDcKjQysw6tP661g9YO6Uhy500jfvlnulyyNYK4tAsLoL8AyOMKyNPKdRuudgAALctJREFU8YgFyMe88Jr/PeZ952UCuRx0lMB1BQ1f0WoIgragNbeB9uzsGsJwxr8R+t+P6zjR3U99mDMnj7Nzi63RsAkDQzVtXGPvfNuWdQelmpov3ZQc3FW/O9fcBjUOblW3A49dcPjF/z7Bh+5qEomsK54qa18ksKywt6yW8AqzRpJUZGbBJDXPu/LLr/neOo8a04+no6knfKp/Z02rFlCtVTZZQbYxWQpdiMJFETprvqjIFSNkFpiaiqNif4h1VCR5v5fvGN76HUNSDf/uv01y/IIAlzKgzHfwi8gVxuSKk1USFtdL2xqaYoBQ0Q5UxxZj9yQ/vr3ZUOzdCNdcs4Orb3xjpHXC7/7qP3thgEdmBzMz/r/ateOyq5bmF15pdIrMTeDa9pFrpuxJtSjI1DR3aRHmdSZlVaEYY+5aMifzuXNL0HFSjl9Q/Pz/O8FHvtgkktnRa2K8StAppIltQzPrNg9XO3bGwS7FGBPXFvJF5EmFyf9HHoUVWDgpYw3fY4C3dnbFUVmHybWR9lZl501qnfsXMku9m9oiFcKOP3NJ+MHXDnEU/MJvT3J83iv6HRl3S6STuSsUdSUi+zuCDCbZccXF5coYXJrKPPG1HJBdWlFcA9v8oGm2WmzdetlXN2/a8a+o2IP5Y41EuWxXwD1f+eLqts2t/Ts2B+lUxxB49vSE9e5dLRqvSJO1zF3JYI7VdxdSRVSkiiiTOjZTmXJmSfJvfmeCj9w1Bu4x1s6lSRlYjvneNfZeWxo77mlX5UYVy8U1qFDzN2LyF0b2WgavahWTOVj17LIo/rsiq1lN5Y9JyqoWt+W0ojzBLZ9ea1SW9VQkqcJJ4S3fMeT//pkum6fjbNJ8SrW8tpQtKcZAnNWJRFlaP6lkPHVNk4uaFq9maNek6bNrkWoII8NKL+HCkpP2R639jzz0lVUhWt8Y4PkNU/R+5tYXyaeu2DVkoh2jVLl15LtI9Rz0ejPDxVrOTKGva+AekyQyK5wqwa1JXfiDT7T50Odb/7/2vjxKkqpO97v3RkRulUvtVb1UdVfvG9Ds3drsoAI+UXB5z2XUGZeHGzri6OA80XFBXFBGHYd3EIXxvEGB8QCiyKLQIGADAo1Ad1c3vdh7d21ZlZWZEXHv++PeG3EjMqq6uummgZl7TlZmRmRmZUZ+8cvv9/021FkM3NQI6BAWgltFKrUcmBSxjILYLK2LKSgx0CP+3AD68kEHY8gjoWkgwtFDQDdyd32fa36uwQECnsTDNYg5NYBPIYw8cp+H3Wo1L/d9BssD3n5eBX/75jFYvp8AcgV07jeA3NXprYqD++p2tO9igiONRksuIDvJjoz52LjTR/8ua+3OvaOXJjajmgjgb3zDOVjct8+f3dcuytUKKlUO11NdlTTOVYEtgp9+EaUi8ZRYwqOOJeGqAEJdmGmxjWvGQWyBe/6Ywc33ZFGjSWqJFbHcVFnuSBFxANoo99bKSTBvB0gEOYztGsoE0R2Hwk7EATZyw3qHxcgqPz+Sn2IEfzgarHjE8TSKI3wjN4ULZhRJMPjCTM6icHyBd55bwdkrxkF8nZjlG8DWjqevHE9ZFFEXIch9bjiaEWXFuM3jqooKAhGppNiMIJMhKDQTdPbOFo9tGPdPOuXMxONrYaLV9AbUKtWbH3xmz/xCqpyb1kaRTXPYMMd2GOmukaikUb0TLyQmIqpz69zumFJCqZzKQC3gzocz+Ny/FPH8iykgpVNejRRYo0KHEBJMRIvLgtGoZSzqChGqJIjSkQDDakdS9Y75OHPbZJhviGLGrbi+rb9do5QrookH7RpEwMejw6RUCq06KTmVujgneniUjH4KLuDr2CIFwMPOhJp+Le1z8d3LhnE5Be56OKtChcTQxvWZCYBa4KCoBzycKP1d9l2RvQtlX29CQj4uUw7CUS7mwaCEIOVQ9LQxnLK8NHb8ypNvtuw0vvrp5GNMMcGaMa1HbFjXf+0ZK5bst5m0CvrTRrIFzbpJFt1OqLbMybQkzPP2Y3q3Uk5s4PaH0vj8D4p4fnNKVsPTuFJicG+QsAQNuvWxMJzKaEetiWotJ80/iQF3Ir8kDuADIjxps+bXaLTSJkeN6OFBaw9DRoxRleCaN2rigWRo0BRf0xXO4NcoFvV6+ObHR3Dh6yuq8tfUxo1sxEBCVPq4MOlKmHGoixd0ZmGDjMhDjg6lolRrAEsv3b9h3cZrO9tnTHioJ7bgAJYtXYSxsTK2b1kLRsZkONvsUxK0F1YtjHUlDgnByxQ9IcTMJTF4d1zjVpabWBLc//jDIv6ySYM7DmpTGpQh8BQNG2dGayzjU3JDGtKgmMQUkogMavLvGKAjigrIpNbbKO5p3G5wci0Lmm3cwoeRmDUXse0xK66sp3ZMiaoUDrZxGlFRZB6JvI78GtU9LJ3t4usfG4EA8OuHsuEH15acICIlclDUtYqjkrcIIBUV9UFl9qMIxnNHgjwC8IXsTej5AszOoHv6bBQKhUltCJ1sZ2tbR41S8tFp06aNWZaAYwnYVnSaMGPhAKh4F6pIywcWtdpxrh3cZj5gAXc9ksYXflDEX15MSW+RxumIeV+C2zEsdzDTMuZUJlpvIMFhTAZ6eE0CDTwpQj9lPh5TDAKA6juIqgmBZChCySx0zjQvN6p/TCvOKSJFEtwMBJlKStSyCxEWS/icgfsW/DrFstkuvvnxEbxpZaWxUEJEi5ghOHxlxXWkM4x2hsXJ/gS3Pa4nOAB110dXV/cYpeSj3V0dtckO76QWfLwyzKdN61mTcjDy2AMbco7twbE4bCs2IsRogjlRn+7AqhNDMYmF4TW4f/toGpd/X3Fuhxrpro3VOSa4deuHaCosjLrPCWiJEeiJAj827FZb5Zj+rbc1mOQpoDz620oiWwLqQUIKok1/OOUsqqbIsISy3EREKA2HCII+XMgEq0APp9rK08Bim++KUkkVQJS2DQB1D4tnufjWp0YgQHDPoxn4+hlmhqHBzT3d3FB1yyKA5OLcPBpqn6aIfihBcyHALBurVq0amTWrd83+wZFJy84mteDNzW1oyhf2OVbtkkWLFri51Hg4/93isC0fdsMsnKi2HUYsTbUkrphIp1Iw4P7HU/jMNUU8vyVuuU3urQEv2w3rULxJTSgJ803CYgUR0JKAniAEdABY0zJHZZNEax3BM2ncHt+QJH/FdybJXhEeDgP0Qqsq+rmNJW2msyl43JonWO4G6ZAE+rgvtLLCwOsUi3pcXHPZMM44cRwsro+b6oqy5Kay4goYnNyolucEdV/2PPF8Ak9dD5Y9LFq8zC2PuZcUCoV9HR3tkxqQSQHOLAdupR/dM6dv7+ieu6nqF+B6ApKu+HBsH7YlhzrZeuiq6UQmVr9HQc2Istw2cO+aFD7x7RLWb0nJrJogpztmtZWmR0joVJqTiCkRCRU6Isq3J7PeQCTVM4m+hNmjmqpMYK2nSFUi4frY9jjggxYeCTTFHCJrOqPx2ZtRR9Oo4xTEkA1J4Gz6iY6nBd+3wOsU83tc/OCzwzj75HEw349SFS0ncl83+pZ5Kypnpa6udUDIVeCu+wQ1D6h5EtwEHDOnNeOYYxZvmt4za/sTz25ByrEPHeAAQCnFPfes3dK/zflQKr8MlLhIOy4y6TpSTh2O7cG2vWj7NKVzszjnZn4DLbFSEtz3rUnjsu+WsH6rKjejphwYzzOhIKoXiYNoy2OGhCp5gmTenQBek2kkVufEeHuEokxk2qeKcAPcAeBFMPGoUR5EDPiGRi4Ma85NXh6JZDYqKwEvV9ybG4CPBIF8GQDiOguxRjF/hovvfXoIZ55YkbWddVMbjwI+KGLWyoqQVttVT6v5BFWXoOJSVFyC8TpQrXs47ZSFmN7CP7R13ZotjLEDHlbrgA/IzIFbr8CyMzv3bPNW793yyKqcMwjGzHbKGhHy8IYt10yezYPIZNC/JOVh6wDFI09ncOV1eazfkoJwdHQyzrWtIEMwADeJgdvUuyO9vUXEcodgj0ZiG8BrngRxG50IYtFgMwgmxns8Kj+1xxDA6J0SKUQmEuWSm5snhFCBE9UHUBj5K4DMFYcSo6HINgXAZSMjgAeaeLBUp1lohxgAXA8Lejxc+5lhfOk6gceezmDrfhtIqf1BPjlRbd8oXK6GU6lElGB+PQAfAPckl6fcR193CV0z560+6eSVO0fHxpFvyuJA64AWHABsJ4vxwd/3l0qpa9u6+zBa3QtCh5DPjSHl1NX8Gz/WLDPeS9CD2fXVTnvYsMPCV35UxCe/VcK6rSkIx4rREisEO2UN4A57Cho53pGRHo0qScC5jfpLM+PVdCLj1jsEq/ob49uR2yRp6wFQrO9GojzGtQiterhJcWpEqQri1j7WXiKqlcfoiq7ED6iKtuSanpjqiqIq+lJnWNDj4V8uH8I/fWwI86bXJMcwLTl31X0Orvh4XUh64inNfNwHRlxgaNyFR0bBUkM4/oQFYOnCtT+/40/9UwE3MAULrlemOAugzWsGdwz+6qYH9l40sP9ZfPZd4+gsCYzxNASXKWbRjlXxGkovAHf/ToYv/1sBt96bRZVbhs5tdqAyrThROTJhGN6JgztBBjTBHqcoGn9mBFPz6caEKxE8KMkqJ8mDU2Iqhh4uIveVHKgVlNCHjOZpaMVQPS+ieRPdmdbQxWGG/I1QuKIilHKplgSyibSBhAIcPNI0X0AV7JjvBwRwgc5mH+95UwUpG/jyjwrYuANAWn9m6Rjrqn0hKHwAHpGAJJC0pV730Ns6gE9fvAfz5y6G0zzrV9O65q+p1QamCtupA5ywPtzx4LYtc2ad+6mNO7eyh/9ce3PV24wr3+cjZUkHhBIuaYqRdyK5uBdcbMfHxp0MV/64iFvvy6FKmAy/R6hIXDUJ1RKTczeA2xh21cC9YVrpaC1j0nUcrDBK1g6kBh6K8Y6AFZiUvoThayUFIpQIdcg+UtZmyoUgECq6KGVDBKNpAChaYoI8dA4oJQD1DZDrDx9+UKLA61YJUraHS84aAzhw5b8VsGknZD65Xqq/shAEvvIbdDqFDaCp4OGK/zWIt76uGanitDvyM07+FLBxKyGLpwzwA7N0Y/2/G67BG990/vApx85YNjo4sKo8PIbl8xzYjMn8gaB41xwlIh1Qy5KWe/NeWYlzy3051MBksQKxQ2pCrQZwUyo7/KaIbLVmTxncMSeThi3ZgvC9UewrqQuJ3A/1cxJtfk/Da6q3EV1kHL1P9PMj9w3adIBrAvN/JDwXiFAwqMdGtGQDjxKTIvFXJ4jCxh1movl242+Xpm1CkIivIDiQogIL59bR3sLx5F8sDA+T6ERZQqC7jclWekCaCeQsga6CwKolArnCcci0nHfb6PDO25qKxx8MZKduwfWaP7sL07q7v7l/95a+0YGxd5ZHdyNl1ZBO1SGHsvpB8lUws9Jy4cPHmrUp/OttTfjlfTlZicOSnElFVUADcId8u9GhTAQ3VM43ouAOHEsDIOaXaNIU87uNfp0xxeUIrEarbcxDij0wdChD51KGvqXTaFITTWFkMhMJahYgjJriIDiTQFeodEjDPikEOuojIIud5R11IhBZ7mhbPt5xdgXgAj+6NY8/r0ujxvUXQAHC5bdFZN1BignkHIGiTfDspnmY2bfo5mXdx31zeGDHQR/LKTmZ5lowbxaeWLN6uGfm7A92t6Ue4sKG6+lWYES9aNiYx7Jc1ODjp3dlcNHlrbj53ibUqa3aO+jpwqYFD51Ji8pyyxQV0nJTHYafGNzSmjWWoJmAjNCVieiJ+tO4LQpr+VrkAGg/+FMh0vCnYV/MWgZ8JtbeLcKzJR3gWm5UciAMB7ShYDnQxRMcz0A6ZMbFuO9rx9OG69lgPsM7z67i9m/tx99cMIoccWWSlnDDpCydLKeyQVM2RdV1HurqnvvB++57YLjU2nPQx/GgLTgAnHHmOdi57amKmHFe/a/rb4bwyqqhjAQXZRy25SGVrmHc9/CzO7P44nUlDI3ashkmncBya0pCZEtjbbXDJpnJ/QRNcE+qfcf6bJsgN3Fogtu07gfE6+E26YZzGSooxv/RvJqIRMczDPWH7Zapmsogebt8MV1WZma6mpxcl7QJdcwFaPA/g5HvSiHVlluf+lwQMHXyMOqhrcnHVR8dBqMCN95RwFiNAGkGISyZJgA5Mt3zBexMERe/7YL6vhG/cs45Zx/SITwkgANAa0cfIPifmL9sxaYXHs54fk3lLPiwLReOXcOmPQK3r27CN24oYWjMUXMpE1JdtdVW4LZJEiWJRSipSG73kKCWyMMmEi14gE1TPWlQQqKcJcmJjNCWqWZaaeVDgxIIE09I40P1tS4AEBM8QBAomkJCpxMwVBXdJYuE9cMC0XRu4w4BATgHIaorVpCsIoEu37Y8wlQoZURxckrVdVA55KOY9fDPfzeCtMVxx+o8+vcRADZ8xsCFjGHkcg5OPvWE8UUL5vyJ0YMmGsE6ZIA7qQKEP3JFc9e5Apv2fBr8z2nGPKSdOrLpKta8AHz5J834wzM51PxJwG1U4egysziwWSz0Tsx2xwHA48XDaKApiN9HstGNnwCT4rXR5wp6Xx/MmkrQJ3xweBIIg4frZwsD2ESfOMqKh4/SbSpEGPlEmCGrabcg0qJKAyQgqFC/AlwNe5X/gFB10hGD7lBpvQnRyo3sh8gFQzHj4asfGcV5K2u48nofjz3H4FIbNYuh5vo4a9mc6vsuPu17sOwvthSnpnknrUM/NQAQVuAbXnjsylJL+9Utre31bLqKpmwFj70AfO7HLbh7TTNqPAfYGYClAZYCmB4jogawqo5FDlF8W1ESczBUxLFUlTrxyvj46I8oyEWEh5tWOomHJwE3MZX24HF8UCv4zYmjniQ+OBq6Nzm8WfNoqB0R7m0O/TXL3LjuZ2LycCJncQZzVNVtX6fVUhnGV+F837fg+TY8T15cz0G1ngYlKZx7oo+rPzqIFYsHIaoVlKscXdOn17u7Oq7+/f2rr2wvZidvUn+AdcgWXK/O5oE6aPtVlt9W3727/yvX3WnT2x5uxlMb80BGcW4QaamBiFkkiGYCmtXvOtRuUpNIwAaNBQxmZmAoscULo5MttNm4PgJcg+8m73j5VoDdILgjfy6iPFwpKkQWDwSWPQC1oj9CKzMEUsOQsp72PTikI0qIbNVMiGp1TKi6lkRJW3gBLkd5qw6zwagTIl+DCD1KhYP40ujUXQGr7uOkBXV8/5Mj+MUDNdy+po93dnd8pdTa/d3+PYP1l3rMDsu3tLX/RrQ3p5bc9dCOp9/3xadYxcvBTlmqn0rozXPjS6JEyqHJVjpaOxmlI0bKa8xR1FG1CLjjJ4Z5AsDYpxtcxjtfKb07kBrNhptJ2ygB0/q40XBTD6vSzTdN/T1o8skM/8IYgEWIji+Y+8PJGXp/pDU1gepgII+DnkWqj2F0rKP5KydfG9Dbom2wQ6nVLDIP+02SIAcpjGjrxwYnqhl6hSyGyabqqFSrWP3iW/xdowuOTbGxv3z4f779JWPzJVtwABgXC5BuadrAMjMufdebW//11/c/Tm0FNl9wmedrVHDoj8aAgHLEi4MDYCvvfrL8ksTb8WilcUabRjjCx0n0jJ/q2X9kacrkr2+Gy/UGqaDIggbJ1XXjINVDlmjZMAQZlOUnhCDIu4IEIyUiGEAmIt+DHJoFQpU1V0OwqPwNIKrTkPnrKHX4aDquEAKjY1m0dJ/Kzzx52aUv7Orb0NG057Acv8MC8AXzTsEjT/bX33LuyuufeGpz9pT5zdds3bYbrrDh+roho8r51ZXf6ovRwNa53I2UJKaM4EDARmAtolHAKPdGDDiJjuQkjqi54xB8yuTXSnqhiV7czGFRaTKBiqipS8LTtVLDIY+rjgAFJwRCR1MfMy0bEoKAcghtwZWSQoV0QAXhoGr6FKUygqQVe53v4vsUni91c9djqIwDmaYu2JXC3/f0nnX9sZl1fr75lJd6RAG8RCfTXCuOn4vt23f7n/nQhRvf/47Typ0deRDhIWsLZG2BNJNURHdt1Z36LSIDOEw36dFzKnUPb4rgPjNOgjBzMBqaj1ftNKTBIqZ9HwT+XjFLTHB7oofHKoCCPHMdzYwUQYRZhnpglG84nvoSOpPqEjzWcDwNZ1WfbZxTuL6Fat3GeM2G6wkQu4h8xznl9p5LNo4M7fbzzQsP26E6bAAHgHw+g+e2DtxxwonLP/bmC84e6GovIGP7yDrSWviqWoOrjCKtY2ugh8BGBOg0Du5IA3mT5yH5MtEbJgcL3KMM8yQwT/bhhOa7CLO49EvF0mijEVCz8EFbXQ1qda1aaft+qJr4PguAr7tlBZEEgqAxq+AM4zUbo2MMhDVj4bLTB+YuWvqxTG7rHcw6dEkwaR0WiqJXsVgEAOwbGLnpvW873WptIt/8zW8faN+zbxjUdrFtB0NdMDBGkCUEKfDAsbQMpypoTN+giGjLO0GikHGfqD8R+S/+2EkAkmzhDwsZObxLNGD3wE/RkSCdoKLSEEOqoyieUAdOFSjrJC7p32jOrgqZqQiCSHKpkSmCqLYiPizLh7Dr2L43hcGRNCynhJndq/YW2l73D/Wqe1Mqs/SwH57DCnC92loKGBoevuGCc1fS8fL+bzz/7Jr2vt69+I/VdTywtgDhZOGr7q+BxWahgqIdywYtW72+CcyG7za2PZ6fPeUgozh4GvOSVmMxUOMiB7W5YZ9WLwIHMvgTaqEi9iwS7BeGoZBsnRtqjFDdXgWVVlvvl2PMBWzLRSZdweq1Fn5xL8WcDhsrVyzdO6Nv5Rfqrn9DNlc8Iof1iAAcAErFIu66667rO9sKfvfKzu/0tu1qWdA7jE/9wMczWx0Qy4lQE92c3kygmjAIg6mDjzTcSLx7wJVou18Gg25+zsA4HsT/NFmNmcwamZYn9BA1MgGnl1bbNB7S4BA1wQ2gQurllAoIFsqMTPWVy6Q8rPurj6/9eze2bc+gdEbHgCeaPvfwQ6t/eva5bzxix++wcvD4Ov/887GgZ/DGuX0dn0jl5pR7Owj6ul3Al6B2mJw8YjNhXMvblr5QRB1N2uhcJmUNxgSTRHFCTLhXPcbII0rYm3jzcKyk996wjUSvp/Ka8c8l37rOMDSa5PNoRNOcUOxzoto40PCiZqm66uJ5+poFaollcby4y8LmrWkcu3BWudjS/Yknnh+68UiCGziCFlwvSsGrfuvNHc3jXrk852ce35a2mYWcxZG25BQBm+lR37HiA0wQPo8DT4S3GwSGyaysel4we/0VvkLLGfmExn4RFDNAWdzoiUGQdDaK+LmqU3H55MdRvh/VSJOoQBYXEJQHYX8BgFEfrmvDc10sO2Zmdea07r+b2VW4dc9g9SWF4aeyjjjAZy95L8Twd30U7FufuH+2ny62/XvG2ZcuOhRNKSkLmkOGzJwSINlCxcd9RPKiTW0YjQ5YwK1jX1j8tQz/KpAag1yPA5wLh+t0IRP9NMSOjakgGbsVXzaoBYkhmcQ+twZ2LKccCCmNaHwb0QgpFeCUwOcisPAAMDxqY8ncpdULefN7Pn7d/F+92+/3f/6Ndx+Go3SgY/gyrSu+fyM+/J528vVr91yyY9vOnw7v2pLNpig81XM8BLcMe8clvIhlNgAeVLLo+0g4AYT+IhqvCcL/m5SopUPsYRifqPB9GKJnzAzfm7Mwpx6qDz4/DSO4waxO3cyIhmF8DSZGdRjdCNeTcMpdaCxEw+dvAHe8WMJsHGRkHJrfienMm5P0GJUBPdclSDsuZs1qqxSb296/brD3lp6mv4rehdFZOkdqHVRN5ktZq3/7n0DpQlw6v/+5WlPPizParXOIKKdHKjLDx7YA2yJSTVHcW3+5hDYCTwdzQCafptDQAi0G7qjVI8mptVA/xcS8Dm9TYkhoJKkmM75NfQ6KhpMqsp0a7yFyX0SPCQ2fF46PmSDia6pKBuXTDT91sEdX/PDYJZJ5KMIAjw4ASUsvT2jPE9i22wFxeofzpZ6PfO2HnTe/69w9mD7v0pcLdi8fwAHg0ftuxcKzPoAPXNT2bM+Mlh1tHa2nrds0kq1UqsimqQQ5k2PiGDOmA5MoyIkBAg0sc4kJrsNvtvHazCiMAAL6/xAlXZoNOc2C4kMAOGkEeBzQcRCbv3LmhGSzzwuNWe9ourBJZ0jIyuO9xRtma5qlbNFIp+fpQJC8CBBY1EMunwVyx+wfrE6/bO2m3M8vPqeMhcs/8HJC7uh5Vlu2D8G2rQ/e/4eHr/rdPb9vH6+UkXaY6qSk564LNWPR/DmVv6PSyoTjL2ST9PDxen8kR1qDOQbiiAWlxLgdA5XO+tMUhBhUJLgfoyNEUxLSSFGC1zNpiggit5QZCWdBhqHez8PtAT0RwbYQ4Ea2oPmtG3SEqykRXBAZoRQ6HI/IvuA56oTgAgGwudDHUIBRD82lHI5Zvmpv7/xTPw/u/YSw1inh4nCvI+5kTrR6p5cwNjr2k7desIoUcvQb99/3+/ZyeQSWxUAIBecCricgPB42VFdeowDU2DnZLD2sVzS/uSgvj5txQeRrAMbYR6gqGHUWRCaeqZc2k5pCqVHXiR2eY6MlaRLciYZfAk06LpFGUmKjzl/4esL8L9A6eDjASn5u3Z9by4TccDi1k+5zgrorJ2H7qh2y4D7yhRJmzV+1t7t3xRdqNfGTdPrIBHGmso4awAEg15RDZaxy/RmrTvGaMvY1qx96uHlwcACMyZ/L8qiLal05oSy0tJIHCvjqd1f4AkEXAoRfkjm5K1g6Sw7ByEa52VBJzGy6OJgDx8r0sBJT9qLbJ5LKSYjaCZeZJRnQMvMpRpJZmCocgtu04jCeE1TmEwIj7hMmVBm0Qw+2IoZzy6iA61OMjMnvw7IImps7cMzyFYN985Zfzrn4WSZ7eHNLDnYdVYADQDaXheu6N5144vEDe/bumSO4d/WGF560m3I+nir72F8WaM4RWFRyc0LURC4OEKPrkqYpQAjucFpXKLjJ3ImQ13ISFt0GFpmE7c5CEKu8avX/ApRHLLfacQBQJy4Vqo/jvCEGAMPCN4xlETCLFMzJd2aOfPDehG5cpVKYieTPemaO76vpC35ozQkhsjc842gu1lHzfGzdaSPtMKx63UluKmV/buHi4zY66fSvHXvy1sYvxzrqAAcA27Z5f3//HeecfZ6zbdvGSncb/VF58GHyaH+Z7i03oTUPOA6FY1MQyJYCrqeerOq3uBDwSQhuj4eDjKLireLYkKaa0rDpqdod5iEh/AXQ3VqTLHccyNEfDAExgXkmsdvR+8mnR6PWHbXeoc+gwW2kPhjhdv3uCJd9t/VYb+1k+jwEt+tJGiJ7dAMphyJlC7QVq9g+NIpdo538/NNPFLP75n18wfx5P929Z0+9b87co4Ync70iAA4Ac+fOxZYt6+vt7e03NefcP/zV2fb25tLgVx06iIzjoJCz4Tjyp7JW9wH4KgoJANK5BNQ8F185P9pCGbSTCKiWeCSofKEEgfXUxRiCyF8AwjS/D7Ov4udMuC2cn3MwyVqRQgyDak2UKBYpJaMhfYnOJY1NvFNOZzzZihICX/0y+Ty8dj0Cz5OOpusTVGsE1Trgc4G0I53m0QrB9K7pWH7cjP8zbdqsX7a1tW3bvHVnfcmSw5fP/VLXKwbgANDbOx8Axu+9/4b1Z59ZvOqPT3c6bdn9V/DabtZa9JBJAZUqxb4hivGqL8veKAF1ZEVKtc7h+kDNk6MwTPXFVE2EAIJWG3p2usG9g14iJKQpDZKjfpz5AZJCmAlnA0l42IQrrl0bHm+Ed0e08tiYRxKCPFRUlHtMCSxBwKikZeMAai5FrR6laNW6wP4hD5WqLzuA0AxEapnf01X42nWPiauWeOv9nt6VRxtCDesVBXC9zjnrA/jx9bf4n/vkJV/as3fA2rTu4b8fHXg0Va0MY6zCsG8Y2D8ikM8QpFOSuuTSHENjAgMVOc8FQKh8IFQVtASnh6fqPnsEAqo9Xuhgiig+hfknbp4THcoDB+3JBNcTpv3Gde241W6YYSpUYbLZ0lpE+DggP2sq5WJkjGL/UAo+J3AcIJviKJVcDJd9bNvto+YTlEolzJp3Yu2k16/6TqHY8qXnn7oNi45729GGTeJ6RQIcAD76t5egXB5FU1PtitbSKrp5c9eKe+77DV00s7xi6C+7rU27C1jaQ5F2KEoFC92tPppbh/H472x49TSyVljXKQEuwAiBJQChwuHCmACmp+9yKEsoILs2af13Av6tb8bXAfNWTMDqm2beSNJTEihLaLkNKkJDMDN1m1ERDABjCuyB+kIFHMtD3avhT+s4dux00NlioVSgyGeA3q5RbNg1BuH0eKcvsx856+y38Jkz5jyyb9i/YnR0FE1NTUcbLhOuVyzAASCfDw7cF/a++Eu89y3H5XcPDF43d3bmHWvXjVHOa8hmGNqbgZldNZx18hD+81Ebz23vgACDTUWAQ9nQUfbEtjQZBxC2VUVgwcMRH4aOPtHSmrvi88LUGwmZ9LlRq9y4PYnDB/TGUE6CFhCRwbzR2aWMCtXOWgSzlLQuTolALjOOXbvGccM93VjSWQejHLbloLnJg207mDazk9ulJbeAtnz4/sd2lP/h+BOONjymtF7RADdX++y3Y/eeF8rdfalPnFad3z84uHZpMT16EWpb0VIAWgpVjNfqqHsObCq9/YovJ3gBQIoS5JgsfiaQc9KD5u4K5LLESgaPdMV5JFiEZAczWAFfT1BOktLwEHMegbjIMYEpN+RAGBZcUxBmWO/ItRr9aLmwLMnjZB2lHE1iW0A642HfqINcqg5KPCycPw+pfPpXp8065lnhTP8+eLW8oG/+0YbDlNerBuAA0NmxEAD2bd267Z8+9ZEFvTu392NkYMNF7uhaFHM7cNfjAgPlAjqzACUcuyo+arUqIChcOw3iMPllKzoCKsPQDDJ5yeehTKjD/VT3EzGieBHMJejkibNy9ENg0AvErHVMN2w4kYT5T8PuAZp7s5jF1uDWEzcY47AsD5l0Ddn0OLjgGK3kMTqSRa1uoyXn48zjBnHnAxZ6Owo49rilmLdo4a/mLll4Wbk8uqWza/rRhsBBr1cVwPXq6ZmJyujAluLChZcP7U//x+bnN9XHRO+XH3h2dFmeCPS2CrQUBZYtHMac6fvx5AaCm+7vRLlaQN4ONWafSxEl7LQkZTNORIODGSwZCWoEutpFjCYlQeP5SYopiUE1TMAHr2mcLA0/Avp5MYfSCqZOmx2l5AunbA+VahXX/9bGn9Y3YW5nDstn59FaEOhoBt51BkF7x3KcumzZg23Nme/Pndf3THnMfVWCG3iVAhwAsk0tANAPoP+BB36IGm/f+DcXL/3lcwvXzdmy8Tm2oNfHSYszmDWtiNctGcAzm8ew+tkmOJTAYVLjrivd1yK67U3YZEgEySkIqQKJWV5CIj6npjQyKhgb/iRCHmKm+8ZbXABRkIf52cKYzRO8VEBXtHpiMQ5mcVhqCK8QBJ5qsEOI3L9mPcX3busCr+exs41jdMjC8gUptE87wT92/ux+v1D7yHmnr9zJBdZbdIKT81WyXrUAN9fpp38M+/cNPuN5/nlthfT09gtOumV41/2FXbu35vY972DRbA7HkrNfimkgYwvsrxAM1iTSMgzIKIhTImBRycV1L0XTBhKVHRimwMp9uhUxhyzb4pA5AHQCJ9XMZDSb+uvAlVmGF7Q0DhpmmsEdo6W0GhljWz4c24XNPIAAw6M5jIymkXI8FHNjGHctpGgGS2YBLS1Z5Fpmjq0888yRQs67JF3o3f6649kWSl7dwNbrNQFwAGhtawbnYktHZ+s2iNElT3unnVpK4/+KykYP1h9bbGsw35YFOgocXS0Mp7ZX8YfnKnhqYwH1tC2DRkTANh3LOC2IhMKjgSMEz9GhUhU8UukAwtAMG4My4WuaeQJycprWq4ksB+NEVq3HFBjtaFp6uoZdRz5XwdMvAg89WUJbPoPuVg/5XA4EFhbO7ii/+/wlA2eu7LPGavhQrjjr0e6OpmFAcKI7Ab8G1msG4IDMwQbAH1+7c5BaM+627PL8u3/z29onP3/5Z49d+vh70/RFt7tQWzh7GtIrlg7jxIV78P5vc4zXW+AwCynO4eupwEAoAepgEZVZjYwS1e9DpZZC6BHs8mkBJVE9Q4yxIUAI7uD1WNjjXD4fQZqqzOADmBCqXC485cKIZBjkYQrgmVQVAqP4zi86sWmzgwtXZJHJOtVxv/mFE4+bbi88/oyb/vmLV337rW/+Qqo7l6sCg5yQ/NH+Cg/7ek0BXK8Tl3UD8pe9smPXRlBmXU2ZdfX/OGcZ62zL/6g5Nz6/Lee8/oVdVZaxCSquj3JFIJ2lyNkkbGYD6YgyKh1HRmRGo23JiiNApolyD+BcTiQTUMA1nFFGhLLgIX/X6aayPYaONsr376tiA51XQwD1/4S8FmGBhE4fFoKAUAGLurBZBbbtgzALvd15ZLPz/GOOm/PQrOlN612MXMrYfj+fzeDq735RZJvmVI7293Uk12sS4Oaa1jUHCI2nJ8T+DwPp5v2Di7/+9O23OS2tW/2+QuvxlNon7NsziLHqCNJMwE5ZGKsBAEUxKzk3U+BOOQyWJVNH6y5HzfVRd6UVh07DDebbAL6ywLo9sa7i0eC2LBE0PpKJY7LnX71OUXPliziWClhZUiC0GUc2XQcXQGXcBkQNaacG23GQLfSC2d4TFh148jPvmcV47m115kz7R8HHB2dPLxztr+RlXa95gMcXIa0AMAjgfwPA9268GwQ4bbTOz6uO1i4RtbEF1K9gz86NGBit4rHnK6CCIOsAjDpIOQ6yaYaUQ2FZQL0ODJc9DI9JiqEbFnGqZUIKplQbrSAyCjAmYFsCjqUAzlRnXUvKezXXxtCoQM0FLEaQcmRLNEZ92MwFbRpHW/MwXtjSirFqCcsWH4vmEkVTzl6XzTm3UMv6HQQenD3zEgBXHu3DftTWfzmAx9dl73sDADy4fdfggwBWe547Z2D/AL/7N/v4spbps2cvbPn80O4dmNFmozy8D269jLQjkM8JNGUYSvkqPDKKR9fn0JkHcmkANoFPBDxfynuMARbXk84kwG0LSDkcaUcEvDple8imXbQWK3hknYNnN6VRygCMcTRlGLwmhnxTCW1dbWgujaJ9RgnP7SxfVRkRL3bPOo0WikXKqLURwN12uu1oH9pXxPovD3C9pnc1A8Dd+n7/1n3IpJ3Sxs07HnnqqRQ6iswtlRZ/2rbIuZmUTE7asvEpdLXswO6qQBUZCAZw1ADhoeZxDFeA5hwBAYXgUpfOppjk2lzAYS6KuSqGRi14noN8jqBUYGhtFhiuCYxULfRNL2HliuORzVjIpi1kUvQegvFrivmKnSouwkUXTX/Q92tDTrr7aB/CV+T6b4BPsOb2tAHAEIDbAWDnzl0A8AIB77SY4ELUsXN7PyizwJgD27FRqdXci9946pVUjF/Y1VZ2Vz9noeQQFLOyKiGXYWguMOQz0mIX8y6ymVGsW5vDgmkZu7Mzcycd/8OVzLLslGPBcSyUSnksP2YpUmkbtkWpY7PdAnixvb3zaB+iV8V6baj5r5D1u3sfAkA6R4b3Fef3DIk7H7eRpwSFrOwSkM1YKOUpmtICHgeKTR5sp4w7H23CqQuyZOaMjmEhxO45C1Yc7Y/ymln/H1V+649kzGuEAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE3OjU4OjM2KzAwOjAwLEMc2AAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxNzo1ODozNiswMDowMF0epGQAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 202062000
{'hecke_orbit_code': 36029278088856752, 'n': 1, 'trace_an': 2}
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id: 202062001
{'hecke_orbit_code': 36029278088856752, 'n': 2, 'trace_an': 0}
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id: 202062002
{'hecke_orbit_code': 36029278088856752, 'n': 3, 'trace_an': 3}
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id: 202062003
{'hecke_orbit_code': 36029278088856752, 'n': 4, 'trace_an': 0}
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id: 202062004
{'hecke_orbit_code': 36029278088856752, 'n': 5, 'trace_an': 0}
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id: 202062005
{'hecke_orbit_code': 36029278088856752, 'n': 6, 'trace_an': 0}
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id: 202062006
{'hecke_orbit_code': 36029278088856752, 'n': 7, 'trace_an': 0}
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id: 202062007
{'hecke_orbit_code': 36029278088856752, 'n': 8, 'trace_an': 0}
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id: 202062008
{'hecke_orbit_code': 36029278088856752, 'n': 9, 'trace_an': 3}
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id: 202062009
{'hecke_orbit_code': 36029278088856752, 'n': 10, 'trace_an': 0}
-
id: 202062010
{'hecke_orbit_code': 36029278088856752, 'n': 11, 'trace_an': 6}
-
id: 202062011
{'hecke_orbit_code': 36029278088856752, 'n': 12, 'trace_an': 0}
-
id: 202062012
{'hecke_orbit_code': 36029278088856752, 'n': 13, 'trace_an': 4}
-
id: 202062013
{'hecke_orbit_code': 36029278088856752, 'n': 14, 'trace_an': 0}
-
id: 202062014
{'hecke_orbit_code': 36029278088856752, 'n': 15, 'trace_an': 0}
-
id: 202062015
{'hecke_orbit_code': 36029278088856752, 'n': 16, 'trace_an': 0}
-
id: 202062016
{'hecke_orbit_code': 36029278088856752, 'n': 17, 'trace_an': 0}
-
id: 202062017
{'hecke_orbit_code': 36029278088856752, 'n': 18, 'trace_an': 0}
-
id: 202062018
{'hecke_orbit_code': 36029278088856752, 'n': 19, 'trace_an': 0}
-
id: 202062019
{'hecke_orbit_code': 36029278088856752, 'n': 20, 'trace_an': 0}
-
id: 202062020
{'hecke_orbit_code': 36029278088856752, 'n': 21, 'trace_an': 0}
-
id: 202062021
{'hecke_orbit_code': 36029278088856752, 'n': 22, 'trace_an': 0}
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