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{'Nk2': 36300, 'analytic_conductor': 72.46423983431195, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, -1], [11, -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': [9075, 1, [3026, 727, 5326], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 8, 'field_disc': 69922568125, 'field_disc_factorization': [[5, 4], [111876109, 1]], 'field_poly': [5, 20, -41, -25, 38, 9, -11, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [5, 20, -41, -25, 38, 9, -11, -1, 1]], [7, [-956, 394, 807, -401, -165, 105, 3, -8, 1]], [13, [-62716, 44622, 9019, -11144, 908, 541, -69, -7, 1]], [17, [31364, 10532, -17295, -598, 2019, -25, -79, 1, 1]], [19, [3980, -10970, 9969, -2617, -809, 503, -55, -6, 1]], [23, [3169, 7409, -1036, -4440, 431, 548, -80, -7, 1]], [37, [-542461, 207941, 93156, -34702, -3023, 1657, -71, -14, 1]]], 'hecke_orbit': 101, 'hecke_orbit_code': 450359962770613107, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '9075.2.a.dw', 'level': 9075, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 11], 'level_radical': 165, 'minimal_twist': '825.2.n.m', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+q^{3}+(1+\\beta _{2})q^{4}+\\beta _{1}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9075.2.a', 'trace_display': [1, 8, 0, 8], 'trace_hash': 1132792364341836495, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.032', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.376', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '159.445', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5416.790', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.003', 'prec': 17}, 'traces': [8, 1, 8, 7, 0, 1, 8, 3, 8, 0, 0, 7, 7, -8, 0, -7, -1, 1, 6, 0, 8, 0, 7, 3, 0, -1, 8, 11, 28, 0, 10, 12, 0, -8, 0, 7, 14, 19, 7, 0, 14, -8, 11, 0, 0, 0, 5, -7, 2, 0, -1, 1, -5, 1, 0, -4, 6, -3, -2, 0, 36, -17, 8, -23, 0, 0, 6, -3, 7, 0, -17, 3, 32, 47, 0, 5, 0, -1, 41, 0, 8, 0, -6, 11, 0, -9, 28, 0, 21, 0, -9, 69, 10, 51, 0, 12, -4, -27, 0, 0, 29, -8, -27, -31, 0, -29, -13, 7, 67, 0, 14, 23, -35, 19, 0, -1, 7, 13, -57, 0, 0, -22, 14, 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mf_newspaces • Show schema
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{'AL_dims': [[[[3, -1], [5, -1], [11, -1]], 52, 10], [[[3, 1], [5, -1], [11, -1]], 45, 12], [[[3, 1], [5, -1], [11, 1]], 46, 14], [[[3, -1], [5, 1], [11, -1]], 35, 17], [[[3, 1], [5, 1], [11, 1]], 36, 12], [[[3, -1], [5, -1], [11, 1]], 38, 10], [[[3, -1], [5, 1], [11, 1]], 48, 16], [[[3, 1], [5, 1], [11, -1]], 45, 14]], 'ALdims': [36, 45, 46, 45, 48, 35, 38, 52], 'Nk2': 36300, 'analytic_conductor': 72.46423983431195, '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': [9075, 1, [3026, 727, 5326], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1249, 'dim': 345, 'eis_dim': 143, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 13, 17, 19, 23, 37], 'hecke_orbit_code': 33563507, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 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mf_twists_cc • Show schema
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id: 49162941
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 450359962770613107, 'source_is_minimal': False, 'source_label': '9075.2.a.dw.1.6', 'source_level': 9075, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 450359962770613107, 'target_is_minimal': False, 'target_label': '9075.2.a.dw.1.6', 'target_level': 9075, 'twist_class_label': '825.2.n.m.526.2', 'twist_class_level': 825, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49162942
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 450359962770613107, 'source_is_minimal': False, 'source_label': '9075.2.a.dw.1.6', 'source_level': 9075, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 436849163888501619, 'target_is_minimal': False, 'target_label': '9075.2.a.dt.1.3', 'target_level': 9075, 'twist_class_label': '825.2.n.m.526.2', 'twist_class_level': 825, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 49162943
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 450359962770613107, 'source_is_minimal': False, 'source_label': '9075.2.a.dw.1.6', 'source_level': 9075, 'target_conrey_index': 676, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54044088915198777, 'target_is_minimal': True, 'target_label': '825.2.n.m.676.2', 'target_level': 825, 'twist_class_label': '825.2.n.m.526.2', 'twist_class_level': 825, 'twisting_char_label': '11.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 49162944
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 450359962770613107, 'source_is_minimal': False, 'source_label': '9075.2.a.dw.1.6', 'source_level': 9075, 'target_conrey_index': 526, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54044088915198777, 'target_is_minimal': True, 'target_label': '825.2.n.m.526.2', 'target_level': 825, 'twist_class_label': '825.2.n.m.526.2', 'twist_class_level': 825, 'twisting_char_label': '11.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 49162945
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 450359962770613107, 'source_is_minimal': False, 'source_label': '9075.2.a.dw.1.6', 'source_level': 9075, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 441352763515872115, 'target_is_minimal': False, 'target_label': '9075.2.a.du.1.3', 'target_level': 9075, 'twist_class_label': '825.2.n.m.526.2', 'twist_class_level': 825, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 49162946
{'conductor': 55, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 450359962770613107, 'source_is_minimal': False, 'source_label': '9075.2.a.dw.1.6', 'source_level': 9075, 'target_conrey_index': 49, 'target_dim': 32, 'target_embedding_index': 6, 'target_hecke_orbit_code': 40535763934249785, 'target_is_minimal': False, 'target_label': '825.2.bx.j.49.6', 'target_level': 825, 'twist_class_label': '825.2.n.m.526.2', 'twist_class_level': 825, 'twisting_char_label': '55.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 49162947
{'conductor': 55, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 450359962770613107, 'source_is_minimal': False, 'source_label': '9075.2.a.dw.1.6', 'source_level': 9075, 'target_conrey_index': 724, 'target_dim': 32, 'target_embedding_index': 6, 'target_hecke_orbit_code': 40535763934249785, 'target_is_minimal': False, 'target_label': '825.2.bx.j.724.6', 'target_level': 825, 'twist_class_label': '825.2.n.m.526.2', 'twist_class_level': 825, 'twisting_char_label': '55.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 49162948
{'conductor': 55, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 450359962770613107, 'source_is_minimal': False, 'source_label': '9075.2.a.dw.1.6', 'source_level': 9075, 'target_conrey_index': 49, 'target_dim': 32, 'target_embedding_index': 3, 'target_hecke_orbit_code': 40535763934249785, 'target_is_minimal': False, 'target_label': '825.2.bx.j.49.3', 'target_level': 825, 'twist_class_label': '825.2.n.m.526.2', 'twist_class_level': 825, 'twisting_char_label': '55.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 49162949
{'conductor': 55, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 450359962770613107, 'source_is_minimal': False, 'source_label': '9075.2.a.dw.1.6', 'source_level': 9075, 'target_conrey_index': 526, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 58547688542569273, 'target_is_minimal': True, 'target_label': '825.2.n.n.526.3', 'target_level': 825, 'twist_class_label': '825.2.n.m.526.2', 'twist_class_level': 825, 'twisting_char_label': '55.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 49162950
{'conductor': 55, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 450359962770613107, 'source_is_minimal': False, 'source_label': '9075.2.a.dw.1.6', 'source_level': 9075, 'target_conrey_index': 676, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 58547688542569273, 'target_is_minimal': True, 'target_label': '825.2.n.n.676.3', 'target_level': 825, 'twist_class_label': '825.2.n.m.526.2', 'twist_class_level': 825, 'twisting_char_label': '55.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 49162951
{'conductor': 55, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 450359962770613107, 'source_is_minimal': False, 'source_label': '9075.2.a.dw.1.6', 'source_level': 9075, 'target_conrey_index': 724, 'target_dim': 32, 'target_embedding_index': 3, 'target_hecke_orbit_code': 40535763934249785, 'target_is_minimal': False, 'target_label': '825.2.bx.j.724.3', 'target_level': 825, 'twist_class_label': '825.2.n.m.526.2', 'twist_class_level': 825, 'twisting_char_label': '55.52', 'twisting_conrey_index': 52, 'weight': 2}
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id: 49162952
{'conductor': 55, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 6, 'source_hecke_orbit_code': 450359962770613107, 'source_is_minimal': False, 'source_label': '9075.2.a.dw.1.6', 'source_level': 9075, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 445856363143242611, 'target_is_minimal': False, 'target_label': '9075.2.a.dv.1.6', 'target_level': 9075, 'twist_class_label': '825.2.n.m.526.2', 'twist_class_level': 825, 'twisting_char_label': '55.54', 'twisting_conrey_index': 54, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4929150
{'charpoly_factorization': [[[5, 20, -41, -25, 38, 9, -11, -1, 1], 1]], 'hecke_orbit_code': 450359962770613107, 'p': 2}
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id: 4929151
{'charpoly_factorization': [[[-1, 1], 8]], 'hecke_orbit_code': 450359962770613107, 'p': 3}
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id: 4929152
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 450359962770613107, 'p': 5}
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id: 4929153
{'charpoly_factorization': [[[-956, 394, 807, -401, -165, 105, 3, -8, 1], 1]], 'hecke_orbit_code': 450359962770613107, 'p': 7}
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id: 4929154
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 450359962770613107, 'p': 11}
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id: 4929155
{'charpoly_factorization': [[[-62716, 44622, 9019, -11144, 908, 541, -69, -7, 1], 1]], 'hecke_orbit_code': 450359962770613107, 'p': 13}
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id: 4929156
{'charpoly_factorization': [[[31364, 10532, -17295, -598, 2019, -25, -79, 1, 1], 1]], 'hecke_orbit_code': 450359962770613107, 'p': 17}
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id: 4929157
{'charpoly_factorization': [[[3980, -10970, 9969, -2617, -809, 503, -55, -6, 1], 1]], 'hecke_orbit_code': 450359962770613107, 'p': 19}
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id: 4929158
{'charpoly_factorization': [[[3169, 7409, -1036, -4440, 431, 548, -80, -7, 1], 1]], 'hecke_orbit_code': 450359962770613107, 'p': 23}
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id: 4929159
{'charpoly_factorization': [[[-49849, -100585, 11087, 29783, -8206, -67, 239, -28, 1], 1]], 'hecke_orbit_code': 450359962770613107, 'p': 29}
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id: 4929160
{'charpoly_factorization': [[[30689, -56130, 34074, -6075, -1458, 625, -32, -10, 1], 1]], 'hecke_orbit_code': 450359962770613107, 'p': 31}
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id: 4929161
{'charpoly_factorization': [[[-542461, 207941, 93156, -34702, -3023, 1657, -71, -14, 1], 1]], 'hecke_orbit_code': 450359962770613107, 'p': 37}
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id: 4929162
{'charpoly_factorization': [[[-2253521, 1674776, -449, -109918, 5358, 2228, -141, -14, 1], 1]], 'hecke_orbit_code': 450359962770613107, 'p': 41}
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id: 4929163
{'charpoly_factorization': [[[5045, -17325, 10059, 2540, -3692, 1024, -61, -11, 1], 1]], 'hecke_orbit_code': 450359962770613107, 'p': 43}
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id: 4929164
{'charpoly_factorization': [[[4632625, -841700, -825651, -17185, 25700, 869, -285, -5, 1], 1]], 'hecke_orbit_code': 450359962770613107, 'p': 47}
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id: 4929165
{'charpoly_factorization': [[[-16004, -37072, 12029, 30612, 7994, -693, -193, 5, 1], 1]], 'hecke_orbit_code': 450359962770613107, 'p': 53}
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id: 4929166
{'charpoly_factorization': [[[-59695, 253980, -73014, -24243, 8674, 151, -176, 2, 1], 1]], 'hecke_orbit_code': 450359962770613107, 'p': 59}
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id: 4929167
{'charpoly_factorization': [[[180080, -767840, 13256, 149534, -35517, 1230, 348, -36, 1], 1]], 'hecke_orbit_code': 450359962770613107, 'p': 61}
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id: 4929168
{'charpoly_factorization': [[[45905, -5165, -822496, -41308, 26787, 1011, -285, -6, 1], 1]], 'hecke_orbit_code': 450359962770613107, 'p': 67}
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id: 4929169
{'charpoly_factorization': [[[123920, 170740, 67221, 330, -5107, -877, 31, 17, 1], 1]], 'hecke_orbit_code': 450359962770613107, 'p': 71}
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id: 4929170
{'charpoly_factorization': [[[994769, -1151067, 266498, 71610, -29019, 1907, 233, -32, 1], 1]], 'hecke_orbit_code': 450359962770613107, 'p': 73}
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id: 4929171
{'charpoly_factorization': [[[1546669, 164581, -813120, 266310, -24099, -2192, 582, -41, 1], 1]], 'hecke_orbit_code': 450359962770613107, 'p': 79}
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id: 4929172
{'charpoly_factorization': [[[498884, -209014, -145569, 40522, 12013, -977, -211, 6, 1], 1]], 'hecke_orbit_code': 450359962770613107, 'p': 83}
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id: 4929173
{'charpoly_factorization': [[[-60824801, 14528857, 1752812, -582060, 1205, 6424, -222, -21, 1], 1]], 'hecke_orbit_code': 450359962770613107, 'p': 89}
-
id: 4929174
{'charpoly_factorization': [[[45758221, -5287561, -4154592, 301042, 94734, -2093, -572, 4, 1], 1]], 'hecke_orbit_code': 450359962770613107, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 101, 'label': '9075.2.a.dw', 'level': 9075, 'portrait': 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LRh3VTKUjegOxSMEo/lgWDjlGGxYzh+TlHzfDbOwtb5iA1zI9bPhWycC9m6wbJ9o+KqbR511eTI8TZff8bnsf0JTx2LSVWPt7y8wzteaqmrOfYfm+bIac2p8ylnM3AfvGC5+ZoF/s17l9m2bopTC9OcW6qx1PFY7EiWeyndfsowEhw+tsihU52rHj+w8IqDJ8/vPHJq4Yu3fsc7o/u/9KffbEj8pR7f0gy+stIhilKUEu+7//HDL/2pX/uMfOeLD7z0n7zjlL6wvJ7lXpulTo3Fjs+FFc1iR7DUSVnqxCyupJxdgUOLgvl1K/y771/kRbsbnDg3y+nzTU5f0JxbtJy9kHByIeV8L2F6dsTLruvz4ivBl3UCFXBuqcaZC5qzS4JBCEliqPmGZi1lZirBAMfOJnT7sGODR7MeYq0A4dMfGrZvDFlc0WCdFFnpQ5iAxbLUidiy3qM3VAhlESakXfPYvmnEykBw7LQmNZq5tqRVEwQeJIlgEErOLknOLFrOLScEwQi8hFuv7vPSawTz7TqLy21OnAs4fQHOXUg4t5RwagkOLVpeePUFfuH7l9k43eb42VnOLtZZWPa50JEsraQsdWOWOylLfcNST3CqJ1ha6vOf/1mYvOe1ja/5637E+M2rviawP2NQ1OvtbzZULvr4lmXw//xbn+S1r7iJf/7P/8Uvfuq2O//Z73/8K5ftObayc/+pgXzZtY5p00QVutpYCVYCEhAIYdHC4ks4vVjnoYOS6y5d4sptIxo18LTE9xS+r2nWJQ1PMuh77Dta48uP+Rw7H9JNYvadCNkwt8RbX7bMdZf1eOGVHY5eSLgwEDSCEYdPWzrdJtdeIlkZpew5qmg1NM8eg8s3W0ZRyij10TpmpgV7TwQoneLJBO3BMJS86MoBw4HkustSusOUY6db7NqoaDYiVkLL+ukBy/0uf3InPHEk5akjI3ZsXuT6K7rMzEa8+dYe3/NKy6UbW6TxNEdOTXHopMeJs4aT52NOnk85dF5wfCXmBbsX+Hff32PD9DQnzs5ybrHBworvmLuT0unFdPopKwPLcl9wbqBY7CbcfNUCf/+tC9JXYufpkyd39frpLa2ZHfVGc+YrR5/7E/7Lb3xrMvq3JIN/8MOf5GU3bFKfvvPwvz195ty/OnDwqDq/FLMwVJwawDXbz/KrP77ADZc2OLc4w2KnwVKnxlLXY6mjWe7BcidluZuw1Eu40IETywJdH/GSa5b43ldG7FrfZKXf5vxSnYUlnwsdwVLHSYTlnqE7NHRDy2CUMNeO2b7BAILAs5w87yFkwI71il2bLZvXDzi3HPLkgRY3XW5p1Jd55uAsrWZEFHnMzRiGI7hq+4iP3TnNFdsSwtCybkoSp0NatYBnj46oe01u2J3w1OGIc4s+W+YCdm2C7RsjlIo5eQF8zyKEZceGhJmWpDcM6A88ugOPpa5iaQUWO4alTsqFTsrZDiyOUrZv6fO9r7rAS67U1Lw2Zy60ubBc48KKZqkrWO4YVnoxy72UlZ5lsQ9n+4pzKwkvuuIsv/zji1y2ucXiSpvFlTrDqM3Muu1pe3r+F0/3bvyF2eBgesMt3/3Nhs6qx7cUwPft30e9VqufOnVy+/1ff/rd+w+f/g8HD58CoRhG0BkKzg8Up3sJN11ylv/040tcf0md88vTLK40We46kC93Nctd6PQMK72E5V7CUtdyriM43bcg+rzj5R3e/CLDJZtqRFGD5U6Nlb5Pp6dY7gt6A8EotESJJU1BSUvgQT2wTLct62djtDfi0JmIpw8GmKTJG2+J0N4Kj+6ZYucm+PxDCS+/NuB8Z0hNK5I0ZnYGkthDewmLiw1edmOXzz/QYtcmeORAiEeDN7zIkIghTx9KOXKyhpY+G2Y0M01BPRD4vkAJSAxEsWUUQW9gWekbegPDysCw2LcM05QdWwe8+cUd3vHSCEyLxZUpzi/VWex4LHU1yx1Y6aV0+gkrvZSVvmWpD2d6ioVuygt3n+P9P36eq3fUWVieZqXXoNMPGI4UUWxptLagapv/dXvu6j/dsmXL8TAcDS+//IpvNpSKx7cMwE+f3M+G9fP+vv0Hf3DP3oO/ed8Dj4vzF3oySiCMLIPQ0hsJB/Kh5Ew35kWXn+eXf2SRGy+rcWElB3nASs9nuadZ6Qk6PeuW3F5Cp29Y7lvO9wRnOoaZ6QHf8cIet16ZsGODol336PZqBJ4EFFEiMUZgLAxGgDDMtEYcOGUxNuKOR5qEgzqXbfF5yXUDYrPCPY9Nc8PlHgfO9ukst3nxdQO+8mjAhlnLnmOWf/D2LnuOBmyYlXz5McVLrlIsDbocPjHLDbsj7nl6SBI2uPVqn0u3jRgmfb70qIJUcOikpt3QaAGDocRYQWoscQJIg/YNnb6l2YrZtinkpVcN+I6bEuaaNc4tTbG4Ume5687NclfQ6UOnl9DpJ3T6KZ2BZWkgOdsTXOgl3HLFAr/4Iwtcv6vGwsoUnV6Dbj+gN/QYjDTDUDIIIYwbZvP2a+y2HZf+xK5dl314cfFCdN013xog/5YAuDWhTOPhW/c8+dnLFju8/+tff8xb6gr6Q8NglDIMDcORpR+acZB3Em696jzv+5EFbrrUZ6U7xcJyi06/xkrPZ6Wv6fQUnQH0+pbuIKHbT+kPDZ2BZaEvWOhDnIZcf/mQjbMp/YHlTS8O2bnRkKQSLS1RDHc/WeP4+RqbZhKeOVQD0+DKrYobrzAEtQGPHhiwcKHJNTubtKeXeeApj5svr7E4WGF5uc3GjZaH9ij+1mv6PLxHs3W9x4V+h+WlWW68asADz6TM1qe55rI+5zsdHnpumrpu8sIrLLu3j0D2efKIYP1szLmFmHue9BjFCikhNZadmyK+48URvb5i84zhxsshihosdRosdQJW+h7dgaLTl3T70B04p6Q3SOkODCsDy9JQcqor6AxDXrJ7gV/44WVeeLm7OTq9Or2BA3dvoBmMFIORpD8SLPcSLixHXP+Cm+Mw0f/yB77vbQdbrfpn6zXPfLOx9U3PZA4GAwaD8PtXzj30q0sL+2ZPnerRbEhSoxBCIoVAiQQpDEIKpLBIYVHSoqTm4f0b+JkPad7+kiXe85oldm2JOLvYJvDr1AOfRuDRrGt6dUlr6DHV1AxGKf1hyobQMAwtvVHA0kKNkycsUWI4dTYhCCwg8JVFS8FgqBB4JAPNC3YKLt1s2b5lQJj2+MLDir0HZ3j9TQE3XrXMR75g8UWDnVsGPPWAYsu0Yl17QE3ViWKP8z1o1jRbNwie2Btx4+46r7zhAn9w+xDfa/G6WyxeMOCrD0V8/sEmzx2pc8nmBjs3pczPROxaF3PtzhSlDFpZwNIIAuanA6LYozfweeaAR3+kGQwV/ZGkP4T+yNIfuO/eG6b0h5bu0LIyhIWB4tyypTHV4SffuMDfeEnI9Zc0OXOhTadfc+AeePRHin72bw5Ggv7QMhw5d+euex72gubcr27e/PDSW1//on86GAz+oNFo/J8L8NFogED88KEDD73v9OE7ZoeDDkrVqPmSuGYxVgAKIQCZIgRIYRzAhUXJFF9Knjowz+P7mxw4fZ63v7TPS68eMd1qs9Rp0OzWaA99+gNNL7sww5FmEGpGoWUUGaLYEseWJHVHlPhYA1IJPC2o+YLplmCmBRvXGbZuGLBupsMXH4V7H/eQZorX3+Txgit73P9cTDRq85IXCDrDIecXm9y627BuekBdB4wSxUI3RhnBC3ZrGq2Qx/bVeMWNU7z4+h6P7VNgp7jpap8fessSX3ki4ssPN9lzvMb2ecXG2TozrQZTLagH4GmLkmAs7DkiSFNBnAiiBMIY9x1DtwqOQsNgZBiEhv4QuiEs9CXnexCaEa+9YYm3vrTD33ydIUnanL3QpDuo0R/49IZeCeyhpB8KBiPLcJgyDFOixBInlvMnz/CJP/vCbF2n/++b3/AKPegPPtRofvNA/k0DeDhaQsr0h04evu99pw7duT4Mu0jlobUl8AxJANbmlp9CSBdYKSlQ0qCURSuLpwx1T3BhUOfjd27lq493efm1K7z3tStcu6vP3HSDxZUGvWHAYOhlwFbuiARhLIkTQZK4pd7VbrmgUmuo+dCoG2ZbMVvWD0joc+BUzJ/cU+PwiSbTQZ2br9bcel2Xh/Z3uOPrbW65vMb2TQM+dqdAiYB2K2alH2IsKAHz7QHdno9J6rz15ef5+OcbXHquxptvGRDFi9zz9BxxWuNFV6/nzTd3uXxbh68+NuCpEw2ePOKzdVYy2xY0AoHvuZtQChDCYiwY48CWpJYotoSxu5FHEQwj6I0Ey6FgqQdCj7jhihXe+x0rvPzqlLl2neVuo5Ak/ZFHf5itBKFkOBIMRoJhaBmOUoajlFGYEkaW1IDveSyvdPjYJ+9YP4js+97yhpfZs+eXf2/j+pn/MwCeLPwyK8PtREuf+oHRMHx/99y+dTXdxZM+UZJiLZjUBXYgEIAQAiklSmqkSlFKZMuzwdOWQFvqWrA8Uix2ZvjE3U0efKbPS65f4b2vW+GGSzvMpXWSJGAwqtEfegxDTRQr4kSSpJLUCIwVLgsqLIFvaNQSAj/C90JOLYbc/ojk4EmfIydnUCbg0k0+V+1S3HRlFxUs8PShFlumG1xzCWycX2ap2+baLZLEWL74cEA4kEw3E97wohGfvSfm+NkWV1zmcWZlxLOHPbZtmOH6XQvc/1SPB54VhJHPlbtmuXJbwJVbexw6s8TBU/Dw3gYHDjdpaEGgJc3AUvNAShdUWetu1iSFKIEoFfRDQXck6MYQmQRjR7zw8i7v/Y4uL782ZdNswGg0xWKnRq8f0B/5DIaa/ki5YrVQMBxJhqHrGx2GKWHo2HsUupvIsThEqeLQyQ4f+KM71z/w3Pn3e81W8nO/9bmPPHfwLH/yKz/41xfg/88vfQC17g9ID/+Nv2mTw78Wd05N13UNWjXCGHSkkDKjUAFC4HS4lBlzK5QSaGXQKsXTAl8bfM8SeJaGnzJdE/RCj+XuDJ+6t82dT47YMDPg3a/qcOW2EaNhn2t2WbZtVISxR5qqIs0vsEhp8HTKsXOWI2cFK0PDbfc3OHVhBht5zNQUm+c0OzZqLtkC11zaxcgLfOCzTZaWprjlSs01l3b46pMCkXisn5E0GwmD2EdmySilfTojwbklwdW2watu6vG1x+psXudzyzWz/N23XODDn+/x8L4m/ZHH4kqLXZvrXLFpwIt29/juV/Q4vbTEbfcHLA4Cjp3xOHXKx1OOCAQCYx2jxsaSJoaZuZjrrh4QhjFXbgt556tC1k8pZlsBcVzjzEKNwdBnELpVblgAWzpwh4JRiFsJQsfablWwlQNGiSCMYZhoTpzo8fCRB9dduWvDr734po3xn/zKjj86f+Q/s37XP/vrB/Af/fcfp/mCd4v3/kvxri2tZz74npc/3bh6V4AApLRo5aOkh5C2WG6lUEgBSoKSEq0EWmXPWuDpFF8LfM9Q8yz12NKILFO1lJm6YBBJelGTIyeb/PIfzYJJEEnCTdcN2LUxIknAWIO1LokjhUAqgfZ89h332XOwRrOmafmSdQ3B/Jxk/axm87xix6aUK3askIpFfv3TbY4dn+aW3R5X7kwZJj2+/nTAdN1jbsoy3Ypo1J0UMkbSGSmW+pbFTkqnX+dl16zwyJ4Be48rpts1XnT1ND/y1kV+4zPw2MEm/aFlpac5t9Rm47oG62dG7Jgb8c/fNaDd6PDUEdh3QuJ5FqUsQhjAuv9ZSBLYuTHlJdcmpLFHnARY22AUeZy94DMM3Yo2ilQh34aRYBQKRpFj7TCymRQxhJFhFJlM+pTgHsaCUSzox9CJJSsxxIMRce+x6bfdtOGDv3bufKKn3/OJ7knftrf+5F8fgP+j//in7No0ox6/76Pv2H904SMfe3ih9tTeKX7573XYvc2gBylaGpQyTl9Li5Q6e7YopdDKorXMgC3wPUXoScLIEEQpYWypx4YwNkSRpZ1AGBvCBKJEMIolYRoQpzX2Hmzy5F5IrcVB22ljT4KvXM1HK4BrNkG7DlNNyUxLMTetWT8L2zeGbJpfIbZL/Pqnpzh0eIobL1FcslVy6dZl7no24dziFDftksy0DTV/SCADrBIkqURYS5JGLPdrnFv0uPHKOi/Y3eP+x2psmBE0ai1u3G34yXcs8mufMTx7qsVK37DSUywsa9ZNN5lp15lpT9FuxMw3Y3bcGBF4CZ5OUCpFCrcSWtxNFceK8wuaOFHEiSKKFWGcPUeSMJaEkWQUScLIsfAoEoSRdaCODWHoznMYOUkSxk7Xj2LBKIZBLOjHgk4s6IaWNBzygh1LvO/Hz/O6a043+l31ETv8tBHerk8vH/vtdGbH3/v2B/gv/dofM9vW6vDp0+88eezsHzyx50RNNKf4wkMCT8Mv/GiHq7b00DJFjlJkFkA6sDtG8rTFUwqtbVZDItxF8AShr4hiB/Q4tkRJ6lyRpHKkkKSWNDWkBqe3DQW4RbZKaAmeB4EW1AJBI5A0G4qphmRmSrB+NmHHxgGt5gqf/lrEPU/PsnKhzXXbFTs2eVy+bUQqVvjiww2anmZ+RtFqjHj6EDx3WHPtNssgVFx/ecx1l1rOnklZWPYZjhq88eYe9z015MApRbMuCfw2115i+IUfWOTuZ4d89u51LHYtO9anLHc0023FVNOj1fBo1i21wBD4hkCnaOWklsxaK63FJayMIDGSJBUkiSBOJFEiiGNJGDvnJYoFUWyJIgjjlCg2RBXiCOP8yFyaWDDMwN3LWHsYJohkyI07lvj5H13kjS+ydPtTDEaHa8Jv/GEsWn8ntps+eejpj6aXXvfeb2+AT9Wt7Pe77zlz6uRvHz10vLa+6bEcwVC0+YsHFFGoeOeru7zrNT1m2gm9QYqWKVr5WRCZ4muNpzVBpBh5Gdt4ksgXRLFwFydWLsCJpXMQktL2S1JDmjp3IbWZU5JLfSGQ0rkzWgt8LQh8SS2QNOuCdsMy3TJsmA2Zn+mR2BU+cZ/kw5+fY32txnXbBds3eezcbNixaZlPf92ytFTjyo2KmTa0GjHnjkrOLwf4uyCMBfNTkulpOHDEstw1nL1Q4/KdNV5zU4/b760x14LA91FymmsvFfzom8/jyfP8xf0zPHeqxoZuzPrphKmmolVXNOqSeqAJfAg80No5TFKAFBWQ427s1ECaCpKUDOgQp5YogThOHSnExgWNGcCjGMIkd2XIdHYuSQTdRNKLDdEoYiro8r1vXORdr+rz2hsEnV6LYVhjGAb0l07WUjX1QfymRvh/jOOZb0+Af/rTt5Gm5gfuffDZ/3T0yLH2bEPhhQaBQAjNQDT54iOKrz9b48zyIv/gHQNm2glhENMd1NDKx9NedqREnsaPFWEsiTyXSneMIxwTZayUJBCnkKbOSTDGBVzG2LyHMwO3A7gLXN2KEnhQC6BRM7TqCdOthPnpIetmVvja3og/vKPOviPT7JzyuHQjbN3os3UDXLG9yyDp8tCeNnXlMT+jmG7BdCtkZirB9zVCuJtrGPosdWNWBpZOP+H8ss/2jS1efOV57nh4wL5TbRpBjKd8hJji0i2Kv/26C7zwivP84R0tHnpmmsW+Zn07YbqR0KhJ6jVF4AkCT+J5LlZRiiyecSi3uB5WYyiAnqQmW90yazExJKkDdxJDlNjyiJ0rM8qAPUgEvVjQS2A0SjDJkLl6j5/4ngv8P983oBEEdLoNhmGNMPQZRj7DMGCle7ItAv/XW3PX+vff8/kPv+yVb/72A/jJcx2kkj/8p3/6mfcdPnpyTiuBr6FuLC5HCEpo+rLBykjxn/7UY8+hZd76igGvuqHPhnURvV6dYejjez6B7xFGmiB29l7kO4DHsSRK3LIbJ5mnnZJZf2TMLTGWEtzZB3DMDVq5hInvWWq+oV5LaNUSZtohm9Z1OdcZ8Ju3eXzxkVmWlptcNi/Yvl6wZb3P1vWCXZtHaH+Fj9+jOXyiye4NkpmWZKqZImXIqQVLoCVSgLWCKNbsWN/lYVK6A8Vy13Juqc7urTW++1UdPvlVn6PnAjwdI4SHsU3iRHLTrmV2fF+XLz424GNfnOXRo022zAjWNVOatZSaLwg8ge9JPC3QChc4S1HUZFjcTWYszmlJHeBzkCepk3QO7BClmfWXJ48SwTCBXiLpxzCIDekgZOu6Hq+8cZm3vWLAm15o0KLJ0nKNMA4II58w8ghDjzhRWCTd5VNzM+u2vv/Fr3irsmbpQ0LOfvsA/PyFDrXA+7v//VP3vu8Ldz2zPh45taulxdduuXQAN2gh6IkanUjz8btq3P1Ujxuv7PJ9rxvwnbd0WDflMxjVGIY+gecRJR5RrItAKUkUcSpJEkmcCpJEkqaC1IhSaxtBoUosWUaUTOu7ZJHvGQI/pR4ktOoh66b7DOMhX33a8id3TfHQM9PM+B7XbrFsmpVsmPPZPC/ZuiHiki3LPHV0yG33zTOlNPNTgnZT0G7EdAYpn/96jZZvEcIBaxhq3vqSkM896GpiOn3D+WXN1vUt3v7SPg/t7bHngE8zSFBSOJCbBqPIaf2//ZoOuzed5+N3d3nguWmOL9fZ2BZM1SwN31DTBt8DrQRKuhtZZrZrXn5kMqlmTLnCJRnQHUFAnAriNAN2KhglGWunEEaGJIpo1vu8/fXLfN/ruty4O2XDjMdw1KTbCwhjnyh2xBTFmihRJKlASEE9SLDDx9Yvnmi9b3rT600Urvy+H0x/awN8aXGFC50+UvL9n7n9nl/589u+PLfSWaFVc+l2rXLpaxEyZ1BLIAU96THwFCe7PqcfbPDg030+eW2Pd752wBtessLstE8UBoSJRxR7xIkmzoCepIokzRI2aQlwYzPmNmVNmRA2CypN5swYfC8l8GPqQUSrPiRlyFcek/zRndM8c2QKEQfsnLFsmrasm1bMz/psXCfZPB+zfWOXEws9fuezTZKwztatgumWpt2EdiNGeBHdYZPplkUIgbUQJ5LZQJGYhF7s0xukLHcVpxbqXH1Jix/7rhXe/8cBxxaaaBVnN4YmSWqMIsnGuYCbLuty3SV9nj12ij+5q84dj05zulOnGShaPjQ9i68tngItXTpfiPHqOgNY42661AhSC0kqnH+eCqLUJYmGqWCYwjCxJEmCiUPmakPe+NoV3v3aLi+/NmGqrokSV80ZRj5xrDMyUo6QYpUBXGItaA2D/goHnrtr/eZR7Vc2bH9J0uuc/O9Kt6k3/urmJ/6VArw3GLJuuvm2O+99+Dc+8xdfbsejDlMNhcoiHSFtpnszBhXWORcSfGWop4KBChgkHufDGn/xUJN7nh3woi/3+Yff0+Oq7V3WTyvaDU0U+0SJR5KUIE9zgBuJse5Euj7NHNyulsWl+Q1aJwR+gqciusOYhW7Mf/10jSPnZ3hszzTW+MzVBevXWdZNCebairlpjw1zko1zCVvmB8xNL/PFxw2PPjfNdVsFMy1JqyFpNwzNeoTwQoJAo5X7/dZCmkqGoWY4ikmMoDc09PqWpa7H2cU2t17R58VXr/DxL9eoLym0jB0grSZJfaLY9Xium67xwkv7vPCyPg+/8jTHFiR/eMc051canFwM8JWk6Qn8XIblOQbIUp6ZVMExeWIFiYHYCMIURglExkKaQBIjVcjmmSHX7XDX4+arUtp1TZI06WSMnSQ6W2F1sdI66eiONMsaA6RpjeFoRKf/1bko8X9j684XLsfR8La/Skz+lQH8mWf3sW3rRvWbv/uxy55+dl87HKww3dIFuIwFZQVGkFUCWnQCWmbSJbXUUkFDCYZKMNABw9RjMapzx6NTfO25Ic0g5O+8qcPWuYSdm4fcek0PLVyLmBBOrrispKuVtrbC3FiEtCjhvFxLAjLh2SOSR/Zqbn+oxbPHW0RJg5ZWzNcts03LTMM6H7ytmZ3SzE0LNs4mbJ4fsml+mXueCfnA7evZNK2Zb0O7qWg3Ba1GQj0I+dp+xSjSeE0HKmsFUSKpacUNu4c8+PS0K3wapqx0PS6sBJy7MMOPvfkcJy8s8uAT83gSEDEGMgB5hJGkP9TMtGpMt5u8ePeAV1434PtevcDeE4bPPVTjob119h9ukghNGCoGsUIJiRBiIvDMcgLWkBiLNQZPpEz5ETViXnxjn12bRmxdF/PeN4TUfUmz7hFFDTo9jzhbUR3hqMJrz8Ht5KOLk9LUlUQYK7JclKbT7xM9c2976cLZy1708u9VZ04dTDdtuexbB+B7nnuOrVvW+Q8++PAPapn+p153iamWhxXlEpjXR6QSlHHaMJEWlVp06pZGP7UEqaWmBI1UMDIwSj1GqccgrdHrpfzKx2ewScyG+RFXbx8xN5XwztcM2b4+Io5FprclVJg7T/tL6UpuP3V3nacONRFac+x0g1PnGtTqiqlAMN20tGuGdg1adcFUQ9FuKWZamrlpWDedsGFuxJb1XVK7wqfuazPsN7l8q6XdULQaklbd0KoleF7EFx+sEQ4k3nrXLZpLlGZd8cYXDbn3cUM/lPSHKd2BZqWnObvY4KpdLd758i6PPdvg2FILJQ0QZ3rZI06dmzSKJP2RptP3adUbNOshV20dccsVI06c73D0zAraS3nysOaTdzUQSjlwT84ftAYwYC1xlLJjQ8K7XzNkXTvlih2WDXOQJh5h1CJJXNdUEmviVGdxkAN0NSYqgJ3V+ziAU9T95PLRWMnw3Aq1dvqfnn3m0cHs/K4P79+/N9q9+8pvDYCfPXOSlZULu48fP/mbTz/1qGw3VBG4pMaOBTKpcvadUqBTgc6DGmPxKkCvGUsjFcTGEqWC0EjCVBIZj9jAQr/NXU8ZLCl//pAb2YA12ZEr/cwiE1lFopBIpUhijTQaT0taAeyatzQ9QyMwNAJoBIJmXdKqOzk01ZLMtGFuKmF+JmTzfI+UZf7rn9W4/+n1XDoHM42MvRuSVj2hUY9oNobU6w0CJVEy0+A4ORDHHqOhYBim9EJFf2ToDY1rmWv6nDw3xcuuDvnJd53jVz+pOb4SIITB2hiTWuLEI4olo9CVsbaGmmbNp1Gv0Qga1IKYVj3ipssjfC/m5ssT3vvaAVolWRLIIIQdF+WZpDNGIoQk8BTgMwo1i8va1e2kecyTycKCnbM4qALmSeZO8uA/A3maGQBpFtSe+fqj8qpr1W+uXx7cF4XhM38V2PxfBvhD93+a6WlRP3z4wDuOHz0kZqY8olgQx85PTY3NvpDNXltS5YDtwD4evedVcIlx7VjFz4zTh+4QREaSWElqNLEJSDPbq/oospQCtBBO7yuo1S01bamplMCDQEPNt9QDQd2XNOqSRk07gDcF0y3DbDthbjpk/WyfzesX+cDtho/dsYFt04p1LUO7qWg1FM0GNOoprXrMmUXDoTMBNd/JMshXMsEo0uzaaNi4bkR35LuOpWFKdyBZ6Wla9RqtxjTvfe15Dp85ywdv24KWGoshNSmJscSJJowUw8gVRQ1qksZIUw886kFKp+diDN9L8XSK57kkmlIGKV06X2SHkwsCEBnIBR2TVVkaF9ekqcQYSWLKeMeBV7oMaSIqTJ2BPAd2Bm53jbNEU/bsbEkYDuGBrz8utu3svmPLth2HPvyHnxj+4N9+1zcX4LVA+SvL5386HJz5aV8NZbuhGIUQapcCTvNEQgFu99qkgiQDv8786rRIPmR/31A5bJlmzyrlnJcrikCpqrmBLJPnAistDVqS1ZCDp4QrtfVc9rIWSGq+pB4o6jVFqy5pNSxTzZTpVsJsO2TdzIDtGxZ5aH/Ix+/ezEwtYEPL0G4IB+66pFkzNGsJrUbIQ/vgyb0NLpu3me4t0+bDUHHzFZbLtw95+JlpBll9dX+oM5B7NGp16rVpvvcVSzy5/zwP7tkIVmFM6m7+xJLEtqgnGYaaxshSrylqviHwPQI/JdAGrVM87UqM8zIIKV1pMMIiKPVcGZxnUiJ3pExuv1as2CxozBk6yX+WUjB2AfLiOmdAz4Cdl1SMQktv0JeRPf1vtdfw2+3WLwLRNw3gUdSXcTT6+Yfu+eg/7S6f9gMvIE2d0SwigZKu5kGnNgOzKYBuFOgc9MZmJ85iMvY2FYAbm2feLCbLxOXJCmstlcz72Iqbp6rzhI6SWcZSgVcUbbnsX+AraoGiHggadUGrbmk3UqaaCdOtkLmpIZvnl3lw35Cf/4MNHD85zSXrDNMNaNcVzbqiWYNmLaVei/G9EZ2RRUmFpyxSlp/MXWBJnPi06zGDxDDI6qwHo5TeQNKpKxq9gFrQYufGmF/4wQ4/9xHJ1/dswKIw1mTkkRAlhihWjCLFMJDUQ0XNlwS+JfAVgTZ4nvP7dV7no7JCtkymCGHHG3Sz1L7NSMSaHOjVHIPIkkSykBxpRYZMSpKSvSlkaZJAnBiiyBDGKUkKR4+d8uuN1r/8x//gTV63N/jX7Vbjfzqd/z8N8HDUwaTxL546fNc/7neO1jxPkRhD4MsMaC6QjKX7kiq12Ze3mALUeSatBHmZVs9AnYHbGluydRa05gcTAM+tSJGDO+8EUs4u01krmqclge8GANUCN5KhHliaNUOrkdJuxEy1ImbbQzbPr/Dg3gE/9+F17Ds+y45Z57C06pJmQzr2rlsatZRGLSZOIz765RZSKTxpUaK0CY3Nl3KPv/36Zb70aEQvChhkAO8PFb2+ohNoan5A4LW5YlvCf/ihRf7NhwUPPLMBYyWpcTIwTlyhWRgZwpordw0CQc0TBL7LbPraFhlbrQxSOW9cCusaJXKAlylPIDvXuGAw/+ypEdiiaM3556ZIruUgZ43XVYBbEmNIEpt9flMUySEUz+w9Wvuz2+7+J9/73a8TS8vdn5md+Z+bnvU/DfDe0gGsNS9eOP1QXTLC076TFtZmo8scaynp7lYlBakS46BOLUZVg9GSod3r7NlkLGJtAW7yEz/xuXKA5zUYqkgoiaKO3AFc4nnS1W/4glrgZp40gpRm3YG73YyYbg+Zn+7w0N4BP//7szx7bB1bZwRzzYo0qWmaNVe/Uq8l1IMIzws5tTiDp1yLnbPlyiAzTSVJotg0Y0mSmG5cYxhaRqFhOErpjST1gaLme/heDU9PceXWhP/wdxf42d+DB59bT2qkA3hqiZM0Y3JDGBhqkWTkq0KCeR542kk0V6fichAy98az5zUw7uQKmSOGKJyxAtx5sGjGX68GduVaZ9I1SW1xg8ZJLmehNwz54p0P16/YvevF1dXv/xeA/9tf/wz/5LfDxs+8+VO+NB201qjEuFrtnFaLZE4OLoqgIlUVCZKuBWxbYW1bYWxbMvdFPpsUZRGVlGQ3mcjS1mU9uZMnUPMg8A31mqUeOP3cqMe0GxHTzSHrZjo8emDEv/nQDE8fm2fztGK+aZiqC1o1SaOmaNQF9Zq7OVyqP+LBPYL+yKemyG4yp8GxZaAZJ5pmTXHrNT0eerbNIC7bwQZDRS9QBL7C9/xMP09z1TbDL/3IeX7qd+GBPeuJjSQ2JmuWLnswQ18S+Maxd1ab4mU3tzvIZEop42SW5V0L5HlSyFYAXta0iLECLlNkR8lWa8pVemL1zqs+48SQJBRGg0Vy8lyXX/ngbf7tf3BdI135yEBN/8D/foDvO3CU3ZftmP7ZX/nj39lzbPiKrdMxQmiksujUYFR+VkR24pw8SVKBym1Cky9pYLQoWbrK2hVAmwLYZVMwmfYuLobI+jdlBu6syEgVAAeVVQx6GnwP1wnkZwVWQUo9kxeteshUa8hMq8sTB0P+zYdmePLoejZOa+Ybhqk6NGuCZl3RqCsaBXun1IKEVmPEPU/6rHRqzMyUafIcMCYLyuJUsX5O8doX9LnnEeO6aCJTAbmk5klqnsbTPlrXkdJw1TbL+37kPD/1u5YH9q0nNpo4qwB0Za+OyYNYFtWFvpZonRVhSYHS+bmh+Hz5TZhLFVGUxZUJocljDOiVeMlMrMg5sPMCr8JdqxR4uYIv999jIYpTNsx2XnHh6OLv6fkf/vELC9+xsm5+6/9egHeWz/HUk0s/NcXZ9ywtxMwGNYxx4FKZS4E1lUZhS5Lp37K6T5CqUmc7XZfLkExzWzseSE4yd4b0PCNXaG+ZV9CVujuvGNQKV5+hLZ7nGotrvqHmp9RrCY1aTLMW0mqMmJ3q8Nj+kJ/+3XU8cXgD66c91jdSpho2A3fG3jVJPXDsXwsSGkFEYkJ6UYBQEi9n8EKDi4zdskRI7NH0R65cIKoxk4N8lDLwHYMHvsTTGk/nG9Bart1pef+Pn+Nf/Lbhgb0biI0mTAVRajIWF9RiQ+BZfM/1ruos7tDKlQgrKbPzk3Xl58+VwqzixqzGOhPgLkioQkyu9j5bhTMCy2Vo4Ypl7J5XMuaSxlq3okzVBcPFLl+6Z/k919/05KEkiX/2fyuDLy2eZGZ2844vfvYj122eOk/dazAYpcisxkQqi87AJo2r+0gzliiCSMVYEJnrOGvLL1dE7sUJLLOStrpm5qxdDSrz5Tbr0FFZMKW1xVMO2L62RfVgzUsz3RxTr4XMtAdMNXs8uCfhZz6wjscPb2B+SjNfT5mqWVoZuOs1Zyfm4K4HKTU/od2M2HPUcvdjTXwp8ZTJgrhSR+bLd5wqEqN51U0xl13S59DxOvMNyj7HMGUwylhYK7T2ijIHISzX7IBf+tEL/OzvGu57dp5RXHfJsMTSyGq4Aw8Hcp2vXqbobZUqLVY4JUUF4KIC8soyuQrkdhzgFXDn703KzlKu5FqcIt+RrwAWd/0ayhJFHl+5/yznOw9d9xM//sM7jhw9eWzXzr88i/+lAX5h4Sxe0N55cO/D/4V06W013SPwK+wpszSBsC5jaJymS40glVm0nTshhWNSLmmToK6ywyoGIR8osQa4hUWq3BbMal7ytjdt8bXB8wyBZwj8hJqfUAsiGrWQ2akBy70B9z4Dv/RHG3nq4DrWZeCerltadUGzJgqv3DkvxrG37wBeD0KiNGU0rFFT7iaTorL0k2cLs2RIop2W1yFhZF3jbgFwg++n+J7G8yRaKZT0CoAj4Ppdgl/68WV+5Y8THtg7x+lOm1FTMp1aWomllk0cCDybef+5k2IL9s6lSg7w4vNmH1oU57wSeGYXpVxZbRl8VsFelSxj8sXVv6QV7Z7mK0DWS2hx75+70OPU6cW33Xv/A+mtt7zgn5w6ffrols2b/2oB3lk6jter3XL+zL53dBYP0KyrwlMtljFhEVYghcEYnETJvogpfNPstS3Bbk2esLGFDFkL3JOqML8IbtxDzt62KMMthwO5slhPm2zMRFqAO/AzcM/2WVge8r6PNrjt6/Nc6M8wPyWZr2Xgrjnd3cgCy3ogaQQ2Y3CnvWtBBETc+YTPcuwzFzBWj40YX6HS1DU/tAPNa24c8OC+iF4cMBUb18UeGfzQ1ar72gFcK1tMHyDLQF65TfKr/7DL5x4c8ou/v4GTF2YYTmumfUErMTQSCGI3etlXbqCRlweaUhRBcP5cDdSrN6YQRa9IyeLFtaqAvWIM5Nc0NZVuojyvYUs2L2rTK9fdSCC2SCV57KkDbNy04R3NZvOj/cHw6F8pg0dRH89rXH7y8H3/aLjyJFNNi9JpEXVXdZoxAispmTrPhBWJAopnm0XftgLu/P0x1q7KkuxE58ySp5tzF0DlAFcWLR2wXW9n1t/ppfheQs2PCfyYVn2I1gPueTLl9z7f5vb71xOZNuvbgnU1J0ucBZj75Co7RMbcVfaO0Trka89NM4g0mxr555lk8NxKk8SJouYpXnzVkMQ4gLvxC5kbErmRa57OLU6VAdFlHx3YBOumBe95dZ9WcJrf//yQe5+b42xcZ1CTtBNLU1sHcp3FIcpmcYnNQJ6fQ1HWjkuQlCxelSzVS1KwOZM5ipKR85LcPL4qXBY7uYqX11sYSATIFKxV3HX/M1yxe/c/essbX/Z4tzc40G5945Fw3xDg8fAAnTO34QXTm+1o/yubwRmMV8u8bsZ0Wa6Xi8xXZoeNp3xFydim1Nd5qn2cuSvWQ9W+qtxYIpclWTJFSuPkSTb5KmduT7lajMCL8f2YmhfRaIzw/QF/dIfml//7eg4tzOIFNTa2BLNBSjuwNANoZh329cBlO2tZQsjVr6TZSuDkyYVuSj/y8ZXCl7YIMKl8lTxh5dLbkijxqHsjNk4PWRm0GMaimDniewbPSzObT2V2pyrinjJwdZWPb3t5n5uvXuCX/nDEx744z1LSZBB4ND1JW7sanECDryiaIXSe9MlWPllIlTIBVCWVcbGyFptXEkRrmAZFsi63E4vXIsNBBYAFvhRnj3X43L17X3lqJd18YbFz4NHnTvDCq7f9LzK4TZnZ/JqdYeeJDxA+wlQzJoolqRWQgzlnXVth5qKWgQqwK++b8mJbk/mrBbjF+JckB7ct2UTmw4EqAJcWJY0bJFQwd5qBPMHXTpIEfkjgDTl6LuGDn2vymfvmOHxuhnbDY7YGM0FKK7BZ6j0Ht8zALYukUC3T3oHvbpx2M+TTX9McOFanlk3gKtrFKFFuK+ckTSVxorlyB7zl5h6/94U5+g1NO7aMYksQZXGDMmgts7F1VEDuVa6VWxW2r5P8zN8acN2uk/zu7bMcPjvFUlJn4GmaStDIgO5L626czGUqVr/8vOb2IU6fl5lOOwHxcmVak8krf64Cu1pLNBl3jd0sOJetn3j8xX37uemmqz/wnre97E3nF7vfUKo8L8BNGiGkx2jlnq1R7/FLhVkg8JsoGZEYV1lWsG5WhVZePDkmQQqw27JarXBIKmw9bkfltG3HdGAObJGNUpb5gKB8porM2TvF04nr3NEJQRDi65BeGvGbn/D5/c9t5NTiNEbVmZ1SzPqWKd/QyJi7UaTvZVankkmTzDsvwO277GUYRxw4GdCPAmaCzMXJk065lMuzsLZSkxJr2k3Nrq0RKhjRi1oMfUE9G7LjZ/LKyySKzl0PoS4SvCrmpwb82NsGvONVZ/n9z3X54KfmuDBsMtQ1alrR0IK6sgSJdWwunVTRsixvyLOcq5iccbmy+rpVAMo4eM0Yua1OGI0BnZLhEyMYWcny+S53PLD30mYz2PqeN950dBTG1AKPiz2eH+DRSYRuz0uhPxF2vuZJpfBE4sBkZAZSuYqd3ZFWWFxktQzVvzPB2tYpyrUzlLZiB9oC2GPyJJ+MpVIHcJ2iVYrvxdT8CN+L6IwivvaU5I/uaPOp++YYpS1832fOF0z7hqZvaQSWhl+CuxZIgkASZNLEJYYyZyIDuO+5zOeRM5Z7H20QxR5B064KMIvzWmhwV4oaxQrP07z25h4f/0qffSebDGtu3kvoWfwEvNjgRQal3JxGJyNkOdwnB3jusRtJI9BsmB7yL753wFXbQz52R4tH9kyxMGwyUj6ep6lpQV1CIDMbNbdXpXX5BEEF5ONFWat2+R4rnxCrmDiXogWoJ2TJJKvn4E6tILIwMoJEa/7sq09673nzTZ84fX7lBQvL/YX/aQZP5QaZ9p68JV7+8ykpRgilCjAZIwumHgP2BJCrP8vli83BXEibDMKVRE61bxBhkTmTFyllU5R7ymzcm1apA7hKCzmidUynH3P/M4I/+EKbOx6bYqnTQtZrtOqKac/S9g0Nz9LwLXWfjLUdc9cDSc1X1HxBzSer0DMZuA2B5/S30iH7T8KpTs0lVjJ9O544KQHggq6snNRIokizoS24fNuQp48nDGKPMJvx7Uc48BWTdfNEDciJzpxCEmY2ZJy6+vB3v3bIG160zFcf7/GRL7Z5ZE+bxV6DjvTp+xpfCXwpCCSuh1O6XeqUKG9SJbKy34sB/CKMXs1nmArICzlb+XOaO0wWEpv1iVqIK05MNAz59Y/dNfWP/9arbvmOW3Z/gecZHvS8AJfxscAK+9vh4GhTZR0gDsRpCWwjK7JDUq0jdnUL7tnkGt3kUmRCmhT/Vz6qJ7Bk7dw1McXN5gCeuoH4uZshYxZ6Cfc8qvn8/S1uu3eK890molbDa3m0NUx5rpOn7pHJDqj7IjtkVnKa6W5fEOTsnQNcJ/h+Qs2PsDbmzscCjp2ps25W4ElTlCpIMUbg7kbOQZhJimHosWOD4LU3DvjM1yP6sccwFtQ8i584Fg9jW1mlVOFXI+SYTHGHLBsVjPPb60HIu1895DtuXuTP7+vxufsb3PNUi/OdBkPhM/Q12lNoIfCkwJMSL2sMV8KiEBVpWPlOE9+v6rDk7FxKFTEmT9J81YEC1CYDtYGseK9C+RgMlmf2n2rGMb/92L6zVwHD/2GAL3UN3XT4N0cX7pmea55GCUOSuCDGFKDOdbjMlhVZnNwyAykrJ31cq+fdI3YM2aIUKoU9ZStHtsODNAhpCjni65haLWYUpuw7BUdPK/7ky1N84ZE255eb4NXQbY+GkrQ8S0sb6p6l7kHNc+CueW4moSszlZVDZD+3GchNAXLfc+1ph04bnj4SgOdly7ytpOjH04JVXZoW7VxunPO1u0Ku3tpn76kGw5qgkQiC2BIqMmvPZOyduym5BVlqlWpZq7teKps+4DGKPOr1kB94Y8hbb13hS4/2+dOvNDh6usbeUw2ilYAk0Iy0Rirp0vlkv0+4jVWLIDS/Ptg12bwEdkWGUDK0IWfsKqtbLHlKO29BTB1Jm9T9pQRWjp3n8WefYH6u+Xwc/TwAX+mIKIp+8rc+enD68nnFLbtjXnhFUtQxpLEijtxeOhZZYXBZsnUhR+QqUOdsk5+IChmUkbogkyc2K7+12RYmjrGDwE1STdKUs4vw5bs0h07WufuhOqeW6xw63YQgQDU0Na1oaktTG+cieG5wfs1z49ociPNDZofKAE6muTNweymB59jb3VgRRxZgz9EGnhy3BwuJQlkPXroJeQNB1tOYeFy9Y8jl6wc8czhhkHi0YkGowU/cTEBVAbiUAiHlGJNTYceydDWvP3d9lHHqEXo+7XrE3359yMuv63JqucudD/scPhHwpccanF6skQ49jNTEvgKpssSP68qXZBlPxuuBVvV4Vm7oQp7liSHcc3FXFo3P2UFWeRUZSFKETpEq5UVXhdxyWcytu+5e9/rX/z//6Ce/7+j7VbBzzfDtogD/1Q9/njhJ+aPbethkI7s29Ln2kpBX3jTi6l0xm2ZSLtsZEyBII+lkSKoqTF5l7hzUq8Gdw9pmZ6TwuceY25RSRKV4QUqcWg6fEDx9WPHlhxo8c8TnuSN1umFAGAXg+ai2R6AEDQUNbahXfOBA53UaedmsqwsPMlni+wrfl9kNYEvt7aUus+g5nV/zY6yJOLckCW2A1hJfWnTFZpus68hBntrxfsco8RBo5mcjpBrRjz0GWjinIy4LxrQyYxlImZvUAPmwI0r5mLeW5YORvFQV4ycGoc/GmYjtG2JuuiRkGA35O0c6PHPU58sP1nj6SI3DxwPiRGMDhZUKhCSVlWxQNZk/qVXG6m4LRyF7NuUzuX9YAXhs0Bgu3RmxZTbmyl0Rr7ppxLW7UrbPS1JzpjlYvOs9CP3+/yEGf98HP8/5pZ76yqMHxTAWRFGDJw8rnj4U86UHY6a8hO1bY669IuL1Lwp5zQ0RWPC8hHrTYk32pY0giR3Y80DSBZOiiLSrJ0MI9+WFdHUjCIOQljiyDEaO0Y+elPzxHQGDWPHEczUOngi40PcJUx+0D8pDtRW+FNSVK9ipKdw4M5UVHinH2r4nXNKjCm5P4meyJPAh8MlcE5cy97TB95IsIxpTr0WcX0758gMtOr2AmSmBzuKDvOjrosu3qQSERhKGinVzijfcOuJLjww53mky9KSTKRq8xOLFuWedeewydXYh1VknsvgdxurK73BA91NFqhWJp4hTTRx7zkr1Ypp+zMuvTXjxVSFvf+WI/SckT+7xGEaKj325wZGzHgjJYKhJI1W0TVlNmQ2qXtdq+nYM4IA1iNQiTCZLjKXeTPA8g8DwmhtCXn9zyDVXROzYkjLlwboWWOMRxh5hZDCjp0Rt+kY1XPjjpD7/fX95Bp+faf1md6l3fWQs+D5ogTGahYHPgkk5spTywDMpn/hKwvxsgjWWG3dHvPt1o6LOd37KcMO1Ec1atuJYURojq36jKIbzdAaCJ5/yWOxK6jV4aI/HZ++rMYoVo1hx5qyPEZrYehjhgdaIQKOlxFeCmrTUMmAHyhIo62rAdeb56pK5/bwvswC3yno0RcHevmfw/bxAKy3Y2/djlIq463HFZ77eQvna2W1j+vviDJ574WmaOx6K0cjjrS8ZctvXunzszin6SY1mpsO9XIfHeVLGFt1CQsgCYO5XybHArtownKSSRDsm97Qi0RqdpA7oKkUpN0h/ppbwkisSbr0ixoqQd756wCh249z+4r6Ah/f41APBha7iyWd8ugOZqSSx5hUukwBOmjRrhhtuiFg3nbrGl9Ty7teNuOHyGGtgfsYyO21RuI1501QxGqmsq19hrEXapeuVnvpN4Mf+Ugx+brHD+tl2+6f+y59fEcZWIcu7FKGzwgCDMQmhtZzrGs6tuCBg/3HDZ+9y1GRTw9SM4ZbrI1p1V0K5ZnqyeqtnrsNKX/HI0z7djkJq6WaiWO2YSWjcXGANUiOlxJPCgVlaAmnwpQOCr8BX5Yw+B/JyTLLb40cWjcdVcDuGz8pqvZzB08qREOgYayNOXfCJwhrBlMTP0t4qq8oby2IKSvKqZIHL7nRFFHvMtBTb1kX4YsQwCRgmgrp2QzDzGpI8oaVktbxVFr/L/Y48NjJlAs6YrE+ylEZJkmZ5A5Xtf5QQJykqdrkErVKkTNi6zmQrhuGq7SMiO0RqQ6cjeORpzcpAogrFMh5UjxG6deWzzZrlxdfHTM0YbOJW9roC5crnMEaRxorUClKjMnPDvW+MyLKmRqXx8Irmph9sm+RNXalnnx/gh05c4OTZlfc/8OThV5/t9FFKZR9SY63G5vpITgQE1pBYQ8dmekpZuiuGM3c1K19xLYBXU2PZxRECk2+5QFZzKpz2E0IipMysrBzUWdpZkm3cmvvGlWedddIrsq33KMDt2roUfgZuX1OUmDoGz1hcG/wsO+p5MUEQc+KC4Q+/1ATt40lRBpiFPFmjtrpim+VDQh3YHDNFscd73zDkz+8Z8ty5Fv3Uo5G4TWldFaAtO3FUnhOg9Kjzc1nEbrJS4JUfpqiF0VrhpW5eipcBXckyaebqxrPXwmQWbYoWFmFT1jUM3/kyAyLNZCauUmrNhL6owEGA0aRxGZ8lsSTK3TdTxnNmwsTIYzhhe6Sj516djg6+39rk739DBv+VP/gqUgr/4NHz1JSglv2NNE+ZWklqZREB22KSVG7rFHEzWEs6tpuzXeP75uxW0W/FcuvAnLegKQGecGnlQDgp4IZ3lkM8dcZwRSGRpjIHJWftsqu+BLgsZEvg26KlzfdNZXBOgpext69jpIw4dlaw0K0htCaQjMkTWf1alcs95glXgZc5HVHiMdcO2bFxyN6zIcNUM0ohSAVeavGSTIcnFM5SmUJXlbtJFLGdy1vk9deiIo0MOjWkSqJ0vn25yorVUmSxb5IprVlRTsZyzwYRWkT2Xm4QFE5YJeIaT+iNmw5lArDi5Ves5qIExOR1lG6VHA1OIxc+4ds1CHQVwPfuP44QAhMOmfUdSHL/sppdSotnVVaOVfTVGGM/nzQRwi2reQAuBJIyReymUoEnLJ7IQJtJgPx18Z4aB3k+IkIrt7mU1uU8FAdu6Z79HOh58JmBO+/+0aaQKJ52+tT3YxJiPve1OucW6nhTCr9aw1F1UJhQpNXUdaWcOE/6jEI3wfbNL+3ztadGdJMaA62pJ4YoS6crWRZE5QVnQhjKzqE80CzrO5x1mM1UsWRTDgTaCBIl0KnMdrFztTxJBvQymZYHzxmL5y6XNMgsfnKeeA7u6iiKaoFWRb4UFaN5AsidrTyJuCobXkksumBOk9oUyzH4RgD/+Ke+xFSr9rIPf+K+m00nIVUmG/6SjXuwIjuyFiREUSuQZ6DGjP2Lw7q46DkAZFa1VoxVhiJNnKeMXYd+9jq7yLp4FsUohCqwizkoCtePuBbA84Az1906lyU209vjteS+F+N7EWc7hscO1kH76Eye6EqBUpEImUC4YylbMnnRlyoLTzyOPW68LGRuekhnucEgUTQUeIn7Lip1g0tVXAU4DuTFL5ITNT8i65vMyiyUITUCzwhSJUmVIVWCJAN5tXhtHNxZPkLmWeUsy4zJRmRX7V5bLtRV0lvF5OPPa5V62OwcWSOcisj7eIcKL95wc3vDG192ZN877991xevXBngcx3T79jvbQXpDQ4VY7bmJVJXJU2lerJ5lIPPsU56hmjT1xwKMzD6pcowDuB0DeHXkWg7yaglnFeBKlKWerrk471RxskQV3SslsPPmW8femebWFHo7twQdY5fg9orqxBhBzO33BXztmRYy0PhSuPnbRQVh2UZXVvxNZjPLUcKmmAGoSI1iOPK49Zohb3l5jw/e3iJKA/qppJZawoRs5apW/ZlMzpmJG+piTA5Gy6wRWBTgTpVEKeMYXcpstISplCJXa4BsCfKxbHPO5NntXAX3qrKFssCumvjLpUoBcDN5nmRlxTP4qXdDMDP8TpMm96/J4CdPnqLdbr7hL27/yt/qrlygVZdZO78grswGLNKspqz7NcXdVxmjVi22yc+3GAd5meGzBYuLMaDnuzGUow1yFndbkJRg13kHvcpmjldZPOuG8dQ4uN04hQnmzno2/ay9zdN5w0FSOWIiYv70zjapDVBF9rIaYJZ9jbmzMabBybqYiuYP6UZppHmwqRF4vPs1Az76uZAVEzNMawxTgZdQsLiUFpmIoujM2YWTtUeS0poUFZALUp11uqsM5NqijJMrqbKo1FUwuuyxLEBdWpTjAC9Ka8UkwMfLL6p3ekmC40xuK7Ilr3PKcwYmbxZJFWEkWOp30M3B37r6+tfcvXD+zJfm128aB3gYxehhdFm3N7h0MOhR8z3COFtmUkiFIBWu+EVZ1y9XVAiS6W67mrUvJk3GQC6ca1v1jFWFAaVYrTlz0FdneyglCi2elxSMDbvJgK2VKJ2Uwg50HfeuMdlmzF0GmLrC3oEX8dhByYHTNazyUFLiS4MW43UasiLAJ12U/CiH5oiKX+1AHicel26OufqSPl/fXydWPsNEUJPgpRadCFcElU0Rk0mmw5FOLoz9ykq9fmU8Rzn3URSrtFYmA3fWzqZsBdxZLZCySCErEoVi9agCPHdVLlavMvkogtBK7VLeO5ADvZqZdTtHKPr9PlE4uDRNw8uMib+0isHPnV+i0RjS6Q2wNh+WUxmuk5VKyko3Rr5jV1WWlDC+6MdfVThfZe/qsi6rYBkrxAclhOueFyW4c/bOu8V1AW45BvDq8B/XbU8B7CJbWTB3iq9dYsd1BcVYYj55Z4PFxToi0M53r96EkzUo1dNSrawz46w65k0bRRxr1s1K3vXaHo8dbBOmNQbKp546LV7EJpIM3PlaYTJPPE+DOxYvssn57yymHFQ7293nUCZfkWzx2gHczbqRxmTXp5xt6ABfrdmnbFYZqyO34yfkYgCnJIGyOyw/R3l9jfuzFAbMkFF/kTgeFf9eAfCPf+I2lJQsLa8Q+IrUgs6agcvVxZIKgawUDLEK3HAxDi+/4HgBUsnkdoy1x+acFM8lY8sqgytRYfF80KZE6XGA+zobAOTlWwdmGU5t8YpUvMlep2OHVq5z57lj8Ik7WoTSR0mVZS/Hb8TJDObkLV/qTiZ0eMZSqSJJNUGqedfrR/zBFwY8dbhOrDwGUuKnJnOPBDK1RS5OCuvay0R1LTXZ7xrft6jK5KlxY6zz8R46zcdKGCeFir7NfC6LKG5oMaHHC9kpGPtztTr0eVl8ogjPjAWZIhu9nYPcTa1FaE6dOMjS4oKzrqsAP3/uLPPrNzT+66//7q5OZwnfk0QJpBnArHRlku6GtOOROYzrqFVpq7FSnMpybddk7zUBXswZXD0OWVYYOw8y86lNWuebvGbaW02AO0/fe3ljsnEzQ4oWsbynM8mOGOVFHDil6UU+KJ3JEztRHjt5444jfHyg0YQXnnXjlIkfTdMTXLFlxFMHIlITMDQ+tdTVbOtMgyvhJrO6xFLOloY8yCyZvOIrZ6kLXQw2de8pA6l0gFcqZ+xyQkA+XSvNu/srvbEFsHNnJTMRSu09LlVKfT5OAWVtVunMVXtZy46orI4nhlFsaUzP7vqut/9Q4/SZHxhs3rTJAXxl6SzRqPP6Ky7b8FNHDu0l9hVJagrdlAMNST6Ko/C6VwF8Et8VkK8lTcQa4BY5qHM9XszOy6RJZY6HAzlljbSqgLp4nSV5FJkX7sDtAFwOBfKq8qTK3irr6/QjlnqG//ZnLRaHNUTgOXki7diqUg7OubhYK4COK5u1+fiMgsGdo5IkmnZD8xPf3eOrj7VZDH0iqRlKiZ/1UJYjHzKQ5TX1mS7Oy2gtJgO3GSthztvEdDaUJ5/lmINdSZExuJNEqSyliZS2mEwrx4LM6nOFySedlLFzZCdeiTFJVw7+rLTD4VagMFYsLofMbJr9qaef3Xd/GA7/vGDwc2f24HkeZnScjXMp3aGbup+WgW/hbhS+/POvMmt+gfHBjhPgZhwY1c1LJ4Htgsxy/qBU5fgxVQG1lhKdSRJdADzX3KYIKj1tCnB7Oq+/GGdvT8X4fsSf3Onx7KE6SA8pJUFeGjsZM1Tu6OdvBqjKFMZkSmJktsmTx7WXDnjby7v8wRdqGB0wlD6BFEXSR0lBnOteVjO5qDL5GCuWNTFGuZ3wtHRsrgzFbEfH6qJk8bx9MAd7LlUy9s5jqDGnrCC3iYAzZ/m16KBw46pgL/+2yipPrYVjZyJGHKHbN4Sh23pRA+zcnKC1Zsrrs+fAIicvTJFEAilLFEuR/a48UFqLnfKYYQLU5bOY0NvjswXHRh+LcmBOrrtlNl5MPS/AZQlwVamh1lldikchRTxVuiVeZThQqbkde3vaTa1a7hj+4q4WFzoB1DL3RFSCsYtIFCp9jGMXbS3bLrcMjcSkuZuimWkrvuvVA2772ojFfkCkNMNUZvakyNwbUTZjy1IS5MC2tuz6MQWbl72ROndWVPZaZn+WbiqwY28H8lSKTHeLwiYsVl1ZMnjeS5s7SqvAnv08z2aPS4FKij8fq1X5K7l7E3gJtWDIw3uHHFkQTK0PGIXu7+jFhSfRwfzO/uJXf/KRfU/x8fskS4uCjW2X/JATF60K2hLYlUZUKuCvugirgsq8C6WcG1KAPJ8Qm/2dsbl5UhTgllXWzvS4G+7OOLjznQ1y5lYV5l7F4Pm4iXLkhFYuc3nkqGD/sRqGACF10ZxbVg9W4wdRcTXKk1atRSmZXFTkiSicjKLdLNVgNVfuiLh004jFvXVs6jsWT51M0RUXp5QE1UKvTHDnZbSQ1Q5VWwzBSFFYh9XYRmVAl5JMe1ekoyhX1mqQW64ioljRxj5XBu4q8ZVcaVcBrRi7UVktpHIlzNtnunzfm5b4+F1P0mzv/Mnvf/fLn3jbG585qg+d0sxMpRvvfrD5hn//O5qVwRQbGlm1mS1DlJJpRXnnVYC7JmtPABvKG8VJHlECvMrelV7G0pkQlWCzBLRjcLJRwFUfvHpkW1qrKrgrIM/2q/ey0tCcvVX2Z61jlIr53NdbHLhQB7+UJ17FulwtudZedQt+KtizGnCWXm9Vi0eR5pJ1EW++dcDDzzXAeCSp0+Jemg35TFlDC4vK8p/bhjIrlFs97SDPb7jxexmLSwf8VJEFm6IEeg5uYwtyEmkmN2UJ7jzwLOuObLmqV8BeYkiMgXrMham0M+YZ1iRVXLWtxo++6RRz26M31HW0cet8elRHoSSJBd2OT9RvsKnlOrnzJa4A9sSU1Mlgca3AoQS6GLv4+X8ns/+wqrWrQ3JyQIs1gF3ocCUqTbgVcGfzCcttO1gNbF0OCCpGvGmTgTxx8kTF1BsRX9+n+PO7mgxHPjQ0Wgo8MS5NJgPMyfOwCuBM6O8Jy7Dqi8eJZqqlefurRnzhawMe2udjmx7DNMAXFDeaKn5/NdFSob4M5NUtp1zwmd1gyrF5KrOdqSXFyOs84DSF9halNVmNkcj0uRGMBZrpOJFV61SqErb0znN82QLwMr9JjPuZzQa7jkKPRdumGXhMNwK0Egit0NbEJEmMrxLmW4Za4C6aV3UFZPXEXVyyVGsuCvmxhjyhWMLHmVpUgJ2fhKLvsCJR8kMpkc0BL8Fdgjwvm7VoXY5Q1tkmTFqNA90r2NodSrkA0/cj4ijlCw80eO54AzwPIVUGqmxuSLXL/CJVhGOOSpW182RZtdbC5tv2ycITT1NNFGmu2p7wxpf2efJonTDxSaXH0Cj8lInPknvhTDC4e7YTnwWV32wGowQqdyqke5ayzHpWXSxpbbnSWsfwQgiEKW/66upffKZCltpVWBo7ZwUJupvGmoqjZ1yGPU4lRNqtdgm0RhDECUmcoj/0h7ejtWJpuUsjUGhtS5DkIK/IhmIpnlhG1rL/ql8kvxsl7sPJCVavAj4HcMni5Q4EpTSpWIUFY+cALyenFhIlY27H2LZgal08l6+9LLjUKibwI545JvjS1xoMhj40PaTIKwep2INrZDELpqosbTlzV6L18UHyEwmfSgFWFHu0WhFvfEnIbfeMePJwANpnZCR+psWVAZVWHI2MOclY1lljlWhOlU6OVpTSRTo2z1eVXHMbmQM5ey1EMYyp6nIVzFuZCyMy1h9n5zXk6xrvGdzvFcLlZcpHWUyWGvf67MlHWDq/H2MT9KmzC0ghiKIkcx9W13lUA4oxhp34UFwE+ON3cPaxxGqAj0mUiuYWGcjz9Hw1m6lUVlKbVRTqouDKsbUq5oNPgDs7vHwKbVbgr1XiDh3jeTGJTbn9/jr3PlOHmgbpGpq9Sgnv+IyQcWk3nqtfrcHHh02KokEqd1TyOTQ50MORxyuvHfDmlw149liNJPGwQjEUGi+l+EyFDi785/zWWs3k5e+3KJUzt2Nz92eBNAIjS6BLWWFzk+vw7MaqxFDC5JixCDNxzQs7s0qG5XslbrJt0HOAZ+dMFdFyFlNIg5KKeNQljUdYa9Fh4jpArEmLra7H2LGSepZVli005tr6Ogf6uCwpGa349yptXVVpkuvZgsFVuZJUb7oS6CW4810dikOXm6DmgPYqoM6dE+eYuGelYnwv5omjkk/c2QJ8kB5CKLwiuWOL4qpJmzNfWosYZAxgjBWmVYdSFhrcupS0Udnoh2KfeNc6+O7XDPnyAyMeOeQmCcRGMUhFVvCVXaM0166V4G0sAnCrB2p1PVGmWpzGldl+PhU7s5CvlkKeFCuuKYFZBt8TzF5d3aoypkqMVcBXuqRMBu6xVU+6zYUtloZ2u3cYC3pdy/2yOILhyKW61ypuKtm0/LCrEzZijeVFrGLwSUkiqsDO7cHKcidz5qh+rvw5Y+tysynH2uUA/BLcY6xdec4ba3OpolSC5yXEacLdD9V5+mAdPA+kCy59YSuTYysMLsdjiXHyHoeWrbwoGiCsGJcpxbRYiVGZo5JqwsjjmktHvPIWx+LD1LF4KHxGBnSa++FZnUqmdRFUJIr7AJMzBPOVRUmwyiKtyMDkAlFhXR7CWlFIlcLarSbnKgxeODqFvK1ce0AYWxLgGGFWLEWTyyB3jq0lq4lyDo6Rri0vScASoJTnGHyu7XZDGw4FJi0/4Jj2zvVwdempLiWT7soYqN2Lsrul6pFW2FyKzD/NA9rV9SdjwBblBlM5a1cBXjJ4BdyVofiFe6JSlK4APJMovo45cEbwkS+0CGMPGl4mTyha01R1l+Diu5aB0ZheWaVPxoE+NuasWh5q19LimmYg+f43Drj93ib7TrmbLzWKQapclWGaJX8QTn+n2TWbWEnygosqgztAuxtOZhpdGovNrpGVApnJlgIbVbBXY7UJsI/d/PJikiT/eRmESsAIgbRZrJPJIpM3mdi8vl4wigOQPliDet8v/+cNSPX/Hjh0/Eqw41V5+RZzBYgyW05kvnMe9InS2ajWiBQB4cTPy79XZh5l/u8pOWb5FUfFAlRjPZeVgFKXjkk+AaoKbk9ZtJdnLdMxB8XTcdHM4OmIVEb8wWcbfPRL0xAEoGoopWkoS13ZbBwFRYOzV2mNKzOp1USUpJwMy1iAWsYSpe2Y37RCkjX+lr2QSlqENWzbGHHqguTRp30SIUEojHAj1rRYAziFB11ZVSrlGHk6XNiKqLETdUeTun1Mw7uigGoJwuRBtQq1qCsRWbA9Phs8r88pRmtXk2JUqg4ncrZCGHZf8YKN177g1q/ovQePT59b6L5ppTui1fTGq/SqHnR1Ca7q64ytxnXTuBSpypXVkqRk+MmlbrVUsmPaWxZgKCVJlb1VsdNDZSMqNSlJ8krBnL1jPB2z/7Tk419t4OavOPZ22rvqLlUlHJUWvPFAU1T/UMiSCXBMbhSQBZo2a75N85kgqSJVmRZPNd/72gGfubvBnpMeyAgrJKPUQ2fWWhHX5IVFaWW4KXbMD1e2DD5lBaSy8lwcOWtb9zusyfxxkwWoF7GV89dmbMUfz2aPx3O2IlFExtwuYM0DXSen3MqjNXhyiDUrb+quHJ/WnW5IbxCTmtKd0EoUurfwwPNg8GJ6unoxqx+UCRkz9sUvUlwlVksTN1E2lymV1zmQ82q3XINXwK2VQWUsrjKJopRBVfxupdyhVUKqEj57f5M9B0rtLYR0IyuKDhrWvICCyT/ngeaYOqm8Hm9AHvPEK2Wh2uQd5bk/7qTKVZeFvPVlfQ59PCBKFQhNKjRDIdBppluLQDd3VETlU9gyBLZkvrxwYLdO7OafsRrYWWHLFL/ASQUrMJl8ELIK5lJzV4EtKsHlKsCTA79MXJn8fJtSMitZ2biq2J7coMQQRR/dCASNwI0Hdjt5USytawWXhTZaI4hkTUBXlsYqsFmt00q3pgrwkrXzPxesnbG4rgC7CvRCgxfgzjR3vsWJNGiZD7VxYPe8mMNnFL/16TYj6cCN0JWu+WwFKZqgx1vtSurheR+Tm23lLX/jIxKqGjxr01ISZRSp0SSpR5Am/P139PmzuxscOq1BxWA0sfAYCoEq4iqb5R5saWuNMXl2s8FYb61BoHDn2lIyuMpsRGmzVTlndeFcF2HL1WMS6MVR1eRV7Z0Bvlz5s7xJJQfjWJxio2EXZOaSTDGKPHTko5s1aNWhWZfUvLxxN98Dpmrcrw4oq4CGLFCceH8Vw09W3ImLM7eosHaeSMnB7UBvKmCvHEVwWQXypN9dOaSTJ56O6EaGD97W5tT5AJSTJ0LK0hrMP2cuT6rSZPJCVessng/oBeDzxoNqYX+ewi/Zu2iGkIo00WyZD/mRt/X4pY/4dGIXEFgrCY1ytmGafw7rulgKYVKC3OYfpvppswRU3nigrM0ym1kAKrKZOZlcscLJkxzstipHVq12k8bEWhZh+Tpl/IaQRhQEYyTZZsO47x1pun0PlEa7DU0lzZob9u6CndKeWyUvcgBXQZvdahdzUiYBPbmcF8wtSxaoSpOi0ViVRfZKVCVJbhWaihYvAa0mJUqx1UlSPGsVo4OYT90e8IFPtgmN5+SJUEgh8QVlU/FkVrequ4ubu4pscVFw5+gqrcKqPs9T9hZjTJHdLFL4xm0FXtMJP/bOPvuP+fz+Z50WB0UqJCPjAk6ZUjB4tQ6EzCcvfielXemSKaVkcdagzWxCioIsKd3PjHAyRVRLd2XVcbOrtPlYcnAS5NUFcQ3QF2ogux6JtCSpi1n6I4kKJBrhJEfgSWqBrBQMXYSxqyBn4gM+zweZfG+StUVluS+ZvAT62BZ30q7N2sX7FWAXLF4ytsrswPLZzRpcWoY/+2qD5TAHtwO4J5321mJcnox91nzFq+B5LXxXtXaVwXN3YVyeUO55ZCbqxKWTKsZoklQz5ae843UDPnN/g8WeAhmDUcQ4PZ7LFESpxctHVa7kn7J0Q1QlKZTXp0jrwCylLcAuMuALkQeaJZuvxoADe77ay7GezXGw55+wasPm2Bu7DkIQZxfAZJOntO+5HcTqdU3N12PLRQno0kvKl7YqQa25xFzkfbnWc6WOuQC2mJAmyhXVF3aaqIC8AHu+GZUZkymqyuQqLZ51hb29RsLtd9V46Ok6JtfeMuu5FLk8Ga83GetYmbwA1e9+URLP2LOwxkqJMtkMUd1MN7USZUtfPEk9tEl48bURb3nRgD/8nA8qAiGxQhAa7azaDLayIKSyoWAM5Jk1qKy7Y3NdnvvNdkyqOMCbzJ+2mRlhbRmbmOJcVXMgVYy5wVElsO0YYRafcZJcWRtr1sIoEkQx6Jm2wiaS6Zbb72Vy+cxdkUKdTd5RlfdXLSlrsXgFGOOgzgKhCuDHipikLUFeWIQ5c5sK2DOQy3RckuSOiaxIFJmgpBv8fui45CO3tzjb891+19INeleCcseGNW7Q8e8oxgD/POqkZPNColT94sqeRpVg04513bv9c9yz2/5kQzPlB97S5/6nAw6dkyBiQGGQjIQsNpEq2Dx3vyt34dgokEy6qGwOoAOz24zKpfDJMp22ZG2bBZqVVUMIV19eALdI3ogKKZR9pFQVQYGtymed5Ij8ZGbPYZSy3EmQOkUHHtR8aNbdfzy+1/j4xZi8XmtJlTHGHrv4426DoOqaVPe8nJQntuKBl5KktAjNWGDp/k6K0iW480Cz0N0yRUsnTXw/JkwNv/Mnbe59rO6MVKmd9pbSde2Icv6KnLgJ10rNV5m8eq6q5251BrOsMiy3va6Wz1bLaF27WW4XpqkhkRqVaF55U8SPvrvLz/+OT5hkxUVGkmSuiqwUPOVSpDrGwVrhIsbqHSidVago2VwJ4RJCmURx6fNMsmT/vs2AmwejRXlsZg+aynmjyLrmAM8+WwE0u/r8VcnYlkNiR6OUMDJEsUXnmqnmue7oMmoXq7TiWo8qY48xe7HUrB1YjhXi4AAzOZl1cv95WYDbFvagLHzwbEBkDmZZavB870ydzbgugkuZ4PkJdz7i8Zl7G4SRB3VdaO+CvfMYYEyeTDB35XtXAV11mSbpu1rYVA68qYLbJTBslb1tOU9cGidVcqAniabeSHjHK4fcce+QLz+inG2IBCGJhWaYn//sU5ZywH0aVQQRtvLZqsGmY2or8mSQyP5MtuNC6W5YSokytoLbtYNHU+K7uAEvJu/GY5gKbo0lik3RP6zrgSGpGVp1g8WSpG7b5MKuKmwinvcxxlbVIAAqhv74GIqizqDC2GNMXmXxItC0a2jwCUBXfO5itrUqwa0zcPtezErfcvv9DfadqTlpIlxJrMi1t6hMt12DtVdLliqgBd/o4dhHFAw0fkwMnhyrFS9rVKRUSJMijSYONbs3xrzl5X0e2uPTibL0q3F6PEKR7wMhybzxXICOTXByckVVlu5cvigr8o+MlQ4nua2ca3EHYlHR3tn1Lpi70uxAGROIb3zKxgjC5ISQjbxIjWUwMgxGhlFk0K1mAmlMq5kQJ5oozsazZfPqnk+urHUZV2vw8kMXHS9UHRO7Sqqoiu4uxhKokuFzSSILAFdALqv2YJnAyZ9zcHs6wZDy3z9X5wOfbmFFLk2q7E2pvSf8+UmgI6rfvwLy52FvO6EExvV3zuSrW9nKjKbBpBIjnS+upCFOPaQy/NjbBxw87fGBz2jipAS5QRAKiTL5IIlSi+f+n03zz1mRK3mwmQFdidJlkTKTLXmAKXI3xWIzIJedPbnurm7PXpnj8ny8UF31CgbPh/q7AbFxYukPDb2hpTm06FYthDiiWUsYhG7bCZnKogevmJ+XX4D8t6+B8lKD2zWAXgkiJyTKKg1ejAIrXyu5+lmpsvhIZ6/1pCxZZQ0mKBnj+TEHz0o+c3eTft+DutsLcoy9i5rvirMjygTPWKwx8XrSaXp+Bq+AvjiqW6BnFYZZ00EBdFlJ3UtFmqZI6WYatpoJb3/VgC/cV+fgmSz96ub2kgrBsPpJJ/o2babJ3eZ4ogg2Jdk9gAOowZVxWOuIy1KeJ5sB2Yo8thNj17pKBFVwX3z1s8X5KmxVyOadO5wmiSVKoD+C7tBSH4BG1kD4bjmRrpowXyryuRjF+CyTpwTG76Ix5h4Duy2yfEDR2pT7l+UMj8roryrAJ4LLYqppYQkaZO6iZPpbZdt6y4o8kVUWl672JIwNdzzY5KuP17P5GN6a7F2sGkKUAeZYLDFRILRGgPmNHgWbV+RgUcxvnA2XyxSbbUXidLcpZYqRpEKhUoMRijjUvO6GiNe9eMiJz3uERmYodAZ1giYUTm5IU/HJRC6Qqwzm/mxtyeTk5C6dZShzIhR5K9s40PPrbisZbioSpXRKSpIcg3aFuvPzVRoiNhu14cAuBNRrHq2mj/Yal6yYbvqFxNT/hrUORGTbvJj8A+fgFuUvWyXJs3OyKujMwJzfNGN24Bigc8CXurtg7yzQHGfwcij7pP5WWWKnGlxqmSCV69SRfsI9j/j88oenSI0GP9+1TTFeVFVl7MnxZJXYYg0mHzsvz4fsCitNpuyrcsWQT73KirHEGppcOm9cGE2SGHw/5ad/sMu+k5p7HpYYX1BMmRSC2CiGVICVg1xWGb38IgWzZ4GmkhkurC397+weKdL2GYgLRh8zHsQqQvxGTFCeo2ofa7YJQwbOqVbA5g3tL7zg6u0r6sU3bumfX1g6FCfyR42JszS9XRVIlcmXspKrKG2Vq3Vq4VeL8u9UtXXeS5kHkIUzMjHFtFpI5Q5T6dpZDWxVKaZSlboTVem1PLkk+OWPTHH/402oeY69s0MrQT1ravBkudGVuuiRtW8VQ3LGhxGprN1LqomG6cr5Kv8sxlewNSoq3XkfT4yN7bAgK68trJtLCLTload8VoZyYqmRxRTxsuKweoeKCXyJsfcuHpeJMa085hblaqB6Y9vyZ8V/Uz3MZDBZxiaptcV+9znBzk3XWVle/IGnn3lun45ikXmcbrcDldVEutXHVYZZk9UaWMvqoZti9Vcb091r2YXjQxqrEqUMLHPr0AWYjskzFi/87gqwJx2TMc2dZEFmQuqnfOS2Kf78ria2pkCoomKwYO/sxir7G5+nY77inpRUtHp1q75dJHgmwGErP6gGmuPzC7MgU9q1tXgmVaQxpEIjhynvePWQ5w57vP9DmihIxox6azxCstKMfH1PM2O7krIHW8ylRGS6PPuzydyyrDfBWYi5Ns9/RkaIOT6qjlOujKrdF5OrXOX8GMbZO3+dY05m8wrTFPTGuRCEwKQxJo1xG3CW3RXSuC9QLXzPuyvchZi4dwsZNTnvohpJ2zE3ophtl7+XA1uOHw7spXNS1dkOwKYsfZWp094yRVZqT778cMCHP99klGZT8EV+uE1Mi5qTNYBdDZDWzmSuFWxWUL7mI3Mucp07xmD5PkjjJbRWjm/SVDgr0gHcymyzVGlIjSbwDD/45j4PPOnz5cedXZh740iBsZrQZF/K2PJ5LH3vZhJmL102U2REWN4LpSdeXNsK0C1FEmgsuKwSQJZAGl8lJjZaqLzO2dzitoNJjUV0LYPQYqxB79yygJKu4Xhx2RXRp5WkghX5CbZjyZ+qzbXqkhUfeJy5S4CM7+VSBJPVkbyiDCzH9fcEuNXk83hA6Y4EpWMGIfzi701x+FSA1eVuyblz4rQ32bYgTID7Io5J9b1JIH8DQT5mO1dYKifysviqqscrtSmFq5JXHEqMUO4iC4tIDUJoZGS4ZEvMv/6hDg/8y4DeKPsyedE1ghRNaPOVaDXIrSTbn9KdG8iDX0A4Ns9HSOSvc6JzakCMgzs/ctKuEOPkY5WcqWpvU9bupAaGESwMDUYmCCz6a3u3kqSKmUaPze0ljLHFdzdZUU1+lwjD8wC8vNuLwCEHMZXXVfek0IwlwKtBpirAPQHw7P0ieTOZzMl35822oNY6JknhNz7V4vG9tYrnXablVRZYlu1opT04fpNWMoGr3JO81qJKSTlIJl+Xb1UvHAWoy8RKLg9XVRsK565YkQWdOeBTiRHZkSonVYzhxitjfuJ7OvyXP5kmSiWQZF/C0W6KIjS5Fl+DyYsvXcpUmwWQStp8MnOZBBLFIuHsQkDYi0xkqCSUqmerZPFxZ6k8H5Vd4yzECbzyljpXXNJgMEzRb3jdO/G8Fkvnn+TkgT9HKberiRTl/i2iMrQl38zYOSyi8kkqRn2VucdYvMLg1e0vRMna4zp8krHzn+VSxBb2oFzF2o65tUrQtZSvPBjw+59q0Rl6LoLMMpZkTbo5e+sqe1cC6EKWVLqbZAXc7qnk8HJntYuMTl7jvSpbMcbe1QRQCWS7So9nTC4cm6dSIa1x9SqJol0z/PA7Bzz6bMAdX1fQELmeILvoJEYyqhJWBnKLcHUnxl33PMtpM3vdGlFUW+YOigVE6l5X8x9OsogS2KJSZmxX+zfjzG3HAF1UW5ochjE3XHsrr3rp9ax0+uhmTeEFmpGfDTUXtth8KmeJ1IicoLJuZncn5gwznsUrQV3epaulyVgmc4y5V+/DmAeXJcirTG0KK1AW+6q7wFLKBKkT9h7V/NYn2hxc9LJ97x1rF9p7FXtXkjlV/c0461TBPFlwdbF4s7h6E4md0v8uEyt5EF8yeSaRK393LMuZ7d6QbyorsoDTuSsaGRsunU35++/qcfSs5sApgdVVgSVAegXIq3LF5kwuLNkMB1dZmBGeyyOJLCFkC1tZ5qS4Knax5ZaStrQXqzgqWJsJcFcAnmcxcxi69zUWH2MjdGIU0rj9BpNU0PBNcZe5rQPzDBjZgLjx6H7yKlaDymrVWgmWbKs5ORlgjrP2+HsVFs+zl6LK5KZ4nfvfUib4QcLZjuAXP9TmM3c2sJ52bWjCK6RJlb1z7V3WfY/bpWMJnfy7ivELUr2xy8qh8fO0ir3t6veqFlm1TWyMya1A2HwUssxqMWRxTp0md7rcpIYEjScN73j1kE4o+alfVZxbERAU9oc70KRGMhJk7G6z1dqWDooElVVH2VyeFP53LkNsCfLsPFWBnp+v3NIskj0TMnzyBq/uCJdkJSXZAoSUzjvQ2SEtGivqZ0F9qdmewfcigiDG990W1rmfXAXguNyo6FOZaepqmj1vLZNlsFiWvebedVk4NVkWm28nPQbuwjVJy9eZDSilA7enEyIMn/1ana883HC6W+WWoMwYPGdvyiHya7I3432XVNhoAtirCHtSUE6Ce2IJLpk9mwVChdmrdqGpOCn5hkz5Ft3F8CCJsSp7z71OEo2wkte/aMRbXzrAFwkkCZjKYROsNSQGRgZC4zYDjo0gtq4YrwCYdQBLctDZynaEtvx7pnIU702wcamtx49JcOf/RpxCnArCBEYx9EeG+XVzaCW/1G7WzvqeQm7YdBm9c5892qx1/9uGDbM0gj7NWkQ9iPC9xI1YyIGdL71jkqPUxWNetqjcFBMaWlVfi+zPogpem+nqagBZ/ryUIiZj67TQ4DKr806E4ba767z/99qcvOC5bKXwxgJLkYG7mrWUohr0VhimWtorxBiwS2kixqTJaryvxU5r/LnqVq16LVa9ru4CbK3EVsZLuBS/6/wxqWtxi0PFtjnDT/1Ql7e9eoAnSmBj4ux1ijWGxMLIQmQFkXHgTvLnCoBTKybAnYNYFD9ziZkJYE9o6fz9Sbekam7k/05iBGEs6EeS5VBxrm+ZWb+Zc8vxf/vtj9559Nqrd7s9ehrBCoiQ+tQSXvM8ljrLvTrdft1ttinUKgm5ep8VSt6pAKNqB4qxG2Ay4JzU3oZxizB3U0pZkoM7Dyhl9ux5KUcuSH7/0032HQqgpQpQl4mdcfautqNV9+sci/SrGrKQJuPp5qq7Uj1nuVQrw/DVwHZnz0wkfMpgs9xVulJtmHWXF25KIV0yZhcyc3ecVBHWkhpNHFquvDTmB9/R4+GnfY4u5F+QStDp/t0EwSiTHmQj3Gy2lTvCWcmqeE3hj+eKJ0/V24orZavn16mZsRKYNdTv+PnKbq5+IlgcCnqDlGQYc3Y55nQ3YjCIgGwTqvbcdehak2eeGfKFu5/Fl4Y3vahLs67oD4NKof34hRlfnlfbgW4+dB6gVZM7eZBpK1ZhRcYU72XMXehtUwSYskjkZO+JzDXRCUs9wa99tM3dj9dclWAeVMoKuKWTnpPsXciPigzJL0R1ctXqasKSup/vwqzF3tXu+rHgsxpgZXLFGFcUl8sQKXIL0Q3DdMaA0+FGWETmiRuh3J+FRKAwwpAODK++IeQfvrfLf/i9aZaHpZvifpnIQK5JpHA6ezIZJFyJgjVOb+cNE9bYYo539XzYbNa4yFKP2f1XOCoFcaxhG+bn3UrcrEQEnRG0Gl2+91UX0Bh2X/NSLtl9LVHY57/lANfBNtCX3fE7n7z/l7/ywBU/dW5lyOMHl/ihN0owHmGsSFNR1BEULU6TLskqSzAHcKWQaoy1bfm6GlhWXJPxADPNfpZWgsukyFYqlTASlt/5dIsPfapFL/Xc8MCcuTPXxM3uo9jFItfdqzaSqn63KmNXTIfqa2ePytUM8LxMVGHqDADVjOZY7fiYNLGr5EqVuaUsg1BpbWYfSoRQCGFIjYLE0vJifvSdPc4tKn79o21XRpsnQiTFXrI5yF1iR5QMnXWB6SxqzIEus79rMwLJ2Tx3VWQWrBajlll9FJZ7ft/JzMFT7q3EwM71I37wLUu85RZLmM5i/fO/HG+/6g7VOQG40jL+3b//NU4vezFJcrln0++SacricpOa16Lh+yRplr6vOrzFkj0J7kpB1cSoBzkWgK4OOCf1eqm97QS4c30+rrvxDE8f9PmPH57i+PkgS8VXiqlU1mspBDXp2tHcrMGs9iTr89RFcVilEEqMz00vboTiz+OTwPKBo64MWVJuolWZmjtRdCXWep0XtxXEUJYVj918UCGSCXmIpehxrJYbZHdWzTesn0m5/xmPcwvSGSmTdlD2ZyPKBvRqNWB5U4sq+ZY/FJVVK1cC+d+1FaKYIIdVSTaZb+wraNXg5ivgldcHDIZtVvrz9Hr1jw5P3vO1l7zsuyBncIAfeu930WjUuP0L93Df1x5m03yDJPJZWDE0627/doULCm0l4MoWpHFpUnVcYKzCrdw41CLGWNuOsfYYgyszAe7JepME7aU8ddjjJ35phqcPBFhPlrKkYHBZsQXtmGsytlPDGlp7LT0+tj1JbnFNrKt/GbmSs3YOgNIXF2VxW0aZecmENLbQ3LJ4T2Td7GX6XmRyRRYeskQY542nWCctI8v1l8X85k+t8KP/UfD0wSw4yauksnoZsJDLFSiSPh4Zy+ddCIXeKG3DgtkzrSezYLIYkGRskd6v3CvlzZTdUFLk20IKGjWJEjWeOaSYaQ24bPfV7Lz85STxCPhZso/lHnNzM6ybm6PdqjPVVMy0NVoL4sQdSSoqLF5cmooXXK0MrBwVEFczkeOZyfH3x/6Oyt8bB3duBzpwG3pW8tufbvLEnoBU5XKkqr0VUAksRbWgasL3pmJ7TgJarCKs8Zt94ufPh/CLlptmmrsAfNVFKNL44/IEJmpUCtuwPOzEZCxnIbqdI0QqufGqkL/39j4tmUKSZq5K9Tl/bUkMhNYdcWYjJvmzrbgqRTJGFO5H4bKMuSeiSNjYtc5JdVVTmdetnMO52BEsdRRC1ZmanqXVnin+s4LBA98jCPyDG9a1D+3cOnOprxMCNxpkVeReVDVm0qRgvioTVxi7urRKacbtxaqdmFmFpXuSBZOiGmCmSJGiRIISKdpLGRj4/c80+cRXmoRZ8VTJ3Lpgb5mBu9jbskjsTLD3mCU4cVROdumUiOJ8rAb183P4ZEo632Z7VRMy5UZM4xrcFqB2lXv5LO2c3fN0vkFYibA2O2QWgGbOSmrxheVdrxuw55jm9z/doh/jTlimw4vnDDqpEUTZn20+oJDcaYFy1EQ2X8W4vTPz75z/k2PnKmPyMZBXVsOqkrEWotiw0k3wvRaxaR3SOjgYx0nxLxYfd+eOrezf8/CXdm2b/thVl6+n3UipBW4DVZkBea3LNm71rRE8irJ4qQCvqEqRHNRpBdRVME+4JyJn7xSlE3oRfOjPm/zHD7U5v+hlwC6740t5IirsbSsVg6ubO9wqOj61iur3ZW3wj1+EbD7hN3pUnSk7rlHH0vXFkPhy94eceKr2oalWgo5148uxbnxj1ATDa5JUsXHO8K9+qMPffXuPVpBAmjF34ZMnJZNnrWI5k0d5ImjMHx9n8yqTjxVLVZncrr26VRFoLCSpZRSlLHdDYqYYRI2P3XHn1740M7d5NYMD1Gsaz699brZt35aG8gZrU7SqLNU5S1UchDHPe5UzshbozTiTZ7UmYsw1MRdl8FxzK5Uia5Y//1yD932wzdmlLJkjJ3X3eMbSE3ZV8CjEanlSnV291my95601+cbEvRrklauYAzvX4VR0eJkIqjB4vgOatcXNUHVVRMHwOWuTPcssfnIsjtHEkWXTTMq/+uEui13Jx25vQS2nW7EGkyuMkUSZfZePmi2ysCYrr811O+7z5uZ3tbS2RK9j+qKAsZoXyM6DMRAnzh0SUtAf2icCP/hckoyvCWP/9I03v4Z9z3zl/jQdPeJ7Ei+fO1IJHvOAcrxIqpQdVXArMamtx7ObpXuyOmNZaPAxcCdlWj4wHDyp+cPbm5xZqIBbTBxSIjLN7RUBpWuGXqtTZ9IPL1eqsswTyoByzNoay3z9jz/GWXvcJx/vJrcTxVmVpuR8W5Bid4gc8LIyGSt/Llk8NcplQI0iiSSb1qW89zsHXLotgihn7IomtzmTp2ANxkKUpfajihZPrHDPRYpelOn6PMM5WRlYfWb8/RLgtgA5KAaj8JFP3XbH/W/5ztdfHOAArelttGZ24Pu1YohlYU1Rst1k2WuptUtwl6xcrUkxFXkyKUuqssUlb+QqcCco33DotObf/uY0dz5ag9qk5q5kLTPP2xfZiGXJRZsZLlZYtSqIrMqSscqr1dges9HEeBInB/UYwseAXu1fFMUFL6XKZK3KRKfPxGHzlH4uTayoBKCS1LpUvjGadCR57QtH/MJPdLhkS+QKP6ogN1W54kBuLcS2CnJRFENVg8o0r4IsUvlrpezz6bqrxwnmN0BqLHFqqNdrXLV7B1dcXFs8XAAALBRJREFUvmMVaejJN174olcjpYqefWyR0yeWXUIAxli76HqfkCBjBVmT6fZKUCnWugEqcqTIWopSlsg8qeMZjp7X/NxvTfGJOxpEIgunyRl7XHdLHHvrwhZczd5iQodPypFV741jlknirmr0scL+SSCPJXIq5cdVFq+yd+GcVCvsJmrGqciX3DbMnoUVWV1/FoAamXVslVGsyJNVRlLThnd/x4DUwL/5jSmOnQ/AS92XymXKRM2BRVKEeNl+PXkGNk/jq+yE5FWIRc9b9m8K8s/ipIooQG9dZ1DlNEYJzMxt5E1vfH2UJAmTj1UAn56eRXntfzmzbtfVp0+feXUcjfA0FZsmczsmylkn55fkjJy3njkQVetNTOaDmzFWF5WUfBlQGpSM0dpwbEHz078+xae+3CCS2fZrazJ3JWMpLp6tXK2vJ7Q4E8caMchF9fj/wGPSHciB6i6kKFwV1mCzPNAUJpdSZSAqci1uBAaBFLK4AUw+DjYzJU2mx3NrI0nAUynf94YhWsHP/Po0xxb8LD1IaYEIKCZgZf9aktuchbtS/aalq0JWt1IFeZ4MFpYshihBXjQYZ4Q7N93k6it23XXJzq3/cnG5t+q8rpIo2p/i/nu/0l3qNfadX66lw8gtZTDB0rJaBlv1uatyo2oTVv3tso5kEtxyDNy5Nk+Q2nB6SfKvfmOKT92Rg3tca1fLYMk0sydL9p70u8c6iqhkEWFNmVLV32LikuVB0/je9H/5R5WtizdYna4fkyw5o0/8G6YiVUoNXkqXtOKoFJWHVmJtKVeMcR55kkp0Cu/6jiH//ic6bJqNM2clkyerfPI0uxktceawjExWiWhLXV544pn/naZks8/LUtqxUtuKjAF3I9d8ydaN9XTn1va+O+/8anfdbPsbAxzcPzIYDH4iCJpPkaV3XQnr+B441VYyNRZEjnvb1b5JmbeYjfne1SrBKnMnSBm7cQ8aPnhbi098sUGkZJF2H+/OycFd8bwr0uSi2jsHNHZNcOdUXv3ZOLoLJzw/++N/5xuBuwLiScCPgT8H9vNo7/GSWlZr8QzA1pbALhM/7v3UqqJ+3FiFSSU6sbz7jQN++G19dJpeBOR5qW1SfKnUuOAzNKIIPvPa8lyXJ2OltqJsZLB5U0PFdjTu37TWopSk2Wg+1e/3f+Ji53tNgL/yVd9BM0jS3ZfvsK26cHu5T+weXE6Qmmj+FWbCHalWCFaYXYwHm0V2ssrcIkUqA1rwpfvrfPxLDcKiIlCtfZC5JpLKvjrVxoUJ9l4L0DkhTx6Vkzipyf9XnJOLAR7yNH7+A5HdCPb/a+/L4+yo6ny/55yqulv37S3d6WydvbMCAkmAMCCKwkMWUVEcH4v6Rp2J47ggPBmdIQ/fE9FRB5/jMoqO4OeNqHx0DKCjOLJEWcIuBBKykKWTdDrd6b3vvVV1zvvjnFPnnLq3Ox3IAsycz+d231ruvVWnvvWr3+/726qAXJUFNK4Ud7eZcnDUMTi56h4hmRZJBQaxwOVvHcW5Z4yBxBawE5BroGsDVPYR4cr4DDkQKjBLZoUYIAsTXy7/E1XpWIE8VvuqeyuMBMohwbQZHaKvvxSfc86ba86vh3HGshNPRxiW7igNbu4sje4v+B5HoLoD29Wk0vHbiTczoQ+N3q1jT7QDh+j8ShJb4JfGJCURmB+DeAR3rc/huv/bgOe3Z1TCMJvgJVWTgNgJxNXS24n5PpRhSWoD3dCCpKZ0t/XqQ4HbltKotd5x/tgNqzRorWUANk/u8OFC1R3higOH1M0JVJitomoIEVbCuTwWRiIsnxfiq58YxLUUuOcPOamP2zq5LTK5SK4LB0EFptain8TeuHEqghCZ00l0YU9TZVfXjtHXrqGxeeSM01fdkc9lx51jOt6GxubpYn/Xxq+3TlvYy2iMTBAjE0QIfPnyWew0enKzdezkBEuaE1MY06YCtbFJieK4iWw/QTyCXz6Yw2e+UcTzLylw0/GArfRumqrpbUlwZklvOw1Ne2qJtewWibeMSU0HuuygMyYtzMX4q7U6YqjD6lLWRueGaqGdzvgxXlBTvNNWZyw1xS4gpFUZzZFrVYUz8ArFko4QN39sEBedNSZjVuJakjz94okkL3GgLAgqajnS0lvYKXAmc6gSq1cElEOZohZGHCcu7+x9/Mnnvj5n9gwx3hSPK8EBoHXaElTKgxjtexgZ7yA8z4oEVNLaCZO140yUxNbsiZbWNFnmLrid0NcYUOD+238q4rltWRfcNVUUCqLUEls1cTJ17HLNGJ/ztsW1w5TUoANr/X/FOottWCKlsiRgF5bXk8j4D2KzKlI6a0rRMCoURGXeE+X+1+slNWfduBwAYbLhqn1HhsDyOSG+8NFBCAHcvT4v1zO1D1enT2udnqIRdfkJRR1yAnAVTqGrYsXqyUiJTHAI1dO5FArUtdbhhGWdaGkuTjidEwI8WzejzEj/X3Z0NP60PLSzICAbjEoJYnq7OMkN1nsNbEJq6N5aTSF2dKCU7vAI7vljDtd/o4iN28eT3NQFtwK05rwZ5HLaO1nTqWOt19fFVkccVSMFdr0uDedDGpnCfGmVVIauB6XX2aUjCITgiaEJgaT6GFGqClf0mi7ilACdm0plmjbUAVqcSwHBVWo84VS55ZXayQEOZs6zApwwR0pyLoBf/TGXArV6tNTUESTIOaT+HSiVhQvl6VdAllOtUyPlEyoWQCUS6FzeMVKK6V/On91eftkAz/tdnDbP3lAsvGlwpOuhQqnsIYwCxMojJq+ksO56F+gO9Ue4o5czGoNYnkppUMbgjOLXD2dx7S1aLUk5b5KseIs1ofLO13q3Lb0Z0syJq4qQ5Lhr6d9GZKcNTnmDW0BWF8HB9WSEuEDq7rGAbRmQSVyK+oBdSiEp12CrJlbGj6yuZqS44FDtthWwVTohVxV7iKLkNKw4hBX6Z2q2oAIsnRPiy38zCCEIfvtQVkp6ah10QtDrlxFKnBCE6rhjIX0WDEK2C7dURKgboSIIyhGHjxhXvuPPBpcunrNh065+jgnGhABnmWkAcgdGBkqXjbHT7hP8fj/w6xHF0qpOTlQfTFp6EyW9LXBrliQNbkI5OKP4j8cy+NTXiti0I6gdXwJWBW5dqEdTgk5xfQV0W2pXFbGHC24bbg5LQky6Wg2m0OHKnS0poDtxJrUAn1rv7J9mTWB0dYcnh2WIEuPx5FyWaBaWwcll4UEL8AqkKuXNxOoCRDAJfg34MrB0doivfXIAfx0B9z2mQT6Jm1vGbCLkssN4DMATqomVNQ8cUjcPY4DGQ7jq0jeEHhm5bPqUhgNN9dkJf2FCgBOSx/0btoHTFV0sxLZWPLeorX4YAjLljIv0WRg3PVGgJhajotUTG9yUxCCMQzCC3z6awSe+0oDNOzLjB085KorNd6MqQ8euLWi7582yxYrUAnrqf0pYq/dEfdag+LCluAalEha2zm0jXLiLBtzE5HA64Ce69J4CiqXGGP4cMnqPSHBTqvVzKiW9wSJkApCkVnnSFQJABejsCPGNawfw8a8Av3ski1jAsCsTDjnBXMguxZH1Mf28ivR5VTiWzi/iA5ct2bbqxI6uSrgR+eyyQ9xChxix8HBO5092rF7S/6E5HSeAIITvRU68iFZHnECqRO+Orf9xlbeS+RzCA363QYF7VwBRE9x2Cpr2WsrJSMJgkQK1Ey2YcsEnr+pQYKKAW0v/TnPh5ul1+KAeD+g24J2grATAKabE3s9y32tvJ+e65F4Np5DdKtz2eCo2JXmfeDe1Q0jz5Gp9maJzZoh//NQA3rSqBBorj47g47AqFvOi7kodWKU9nrLIEGTZuJgDYQXLFizFw3/Chz795Q07Av/Qd5B3qB3evKoDcTgE5tXtHS7d8+BA6fGzCsEAPFZAFENBQQBKUmue0pXYIjEoE8aExGCZGDt7GR56Oou1/1yPzTsyE4DbSy3DifHWqonMG7W7JozDaRMg6RFDXFXF0SyIu2wbnlXjFRAn41GGib5tGZ4i+TGzbAOeK0mbPAkIsdQZ08xAV7AnqUQK2WRHZgBxDiXVZdxKEquibNBYpZkxACIEFnWE+Po1A7jhOxyPPJXFzl4AwXgnZz+qdInAGgWUOZDBEObND3DJmxc9+L6L3rh3cHgUhBQOObeTeojc+PmbcNZb39S3r795aM8B/h4WbUWxkEEsdOdaU8jHTRx2s3aSut0kBssKbN7j4wvfLeKWH9djZ3cA4R8K3DRBrDYqdQpaElCly0BQ49xxQmT1+3RGe1VbEWL2UZa9czNQXV3W/JfbJRvBdEY9sfcjyX40dWOlb0YdG+Pso/rgJNlG1qvq+KqeVvaTKv3UIu7TyTaY7UcYUfBzjG/bFCQgHJjSGOONK8pob4/xwhYPfQcpTMNN57Z2buTqHzQAb68fxOc+dCIuOHvOp/d1b14/vX3RZKB7aAmuh59djhhNG9qmln7hx/2Xjow9hyCIE+YENh+eGJhSF5dGpHHFsyywZY+HG79dxJ335lGK2QRUoF2Rqga4k/DXVNFMWBShDYjkeqaYE2uOiSWi0/skF9K+JhYuxpXukxg2YyJBJIxaQiz1g9jS3K0l7iZCiJTKYuLJNU4TxoUTcFCZDyl4QifKKlcUusY358q6pNWSXA8aAVMbY1zxtlFkAoH/9U9FbN3jAxlAhQiqJPBqbko+mIzhQwD4lGP1SSdi+aIVv2htXb6htXVg0nM6aYC/ccUUDB3ct8PPnfnx3u2PsqwILmZkABHXrHEy3SY0VqsoSaIwBw2ArV0+1n67XoIbDMjUcr/XBjeByc7xUqxJuiJsuu0ISassDqit5TRIiTy3KklnAzu9O6r3GxfUpJpVsY1OZxlI6ePq87JppQVorr7X1dNNHIsyFDU9qE8x0c0pOOFywjiXk6m5co5xQZ4cfxnIeByXnTsGCGDtt4rYtheQNSZgyktQC+D6jtPzxjlExNFQl0NDsWXdylPO+vjWbXt3Lpg/c9IAnxSZo0d9Uzt27vj9znKw6tl7npyBF7vKSd+W5OLaXk5iIgMZjUEzHC/t93DDt+rxs98qcHuHD24PEtxOCloirV1Xuwavw5oAjipQJcktgJptpMbDs4YVOs542VLdAjTRdEjCqFgZP7D1bDugCqkXcQ1Q7QBKQG8lKAvqGqQ6nDYJzCJJIJY2PHWQlhAMcUSRFQLvecsY1q4ZxOy2EChrw5MDMG58c8daZ8455k7txXVXEnzgshOefeDhB3cumD/9sOZv0hJcjzJmYv68mTd//+cvzWuvH7w8ivZIbxhSDAMstoRyVATwxDNZfOvOAn56bx4VYicrTALcCti6A7HNjpjya9XSu6q/jtZHqwCsQU2c5VoofaWqyGRAnV6ROHKsHzWx4wQglopCUuoJsWNTbLVEOXyI1SolOQAKKrhKaE7ScpREN4K9liTXTiJGgTgCAo/j8nPHgBj45p0FPLkpi7J250MZQEI7geRvQ83xiZ0z8f6LFt7ROOvEm8ujOw57Lg9LggPACYs68flbHhjYuv/kDy6f560nTOfU0cR9LD1jQqolXowxAfzLPQVcem0z7ri3gAr13GSFQxiUBDa4tTtel6JIgZmmgqiqGBRXH3eAS1LLqe3OPtYmu/DmkRp2knH6y5MyEtZ+xsmjpbw8snT8uO7QkRQMElbMuEUZVhXbd+qPT0aSW0kTIYMXA5e/ZRS//Ic+XH3hMAo0NiUphO2MpMkkZ5nAnt78+ilzFn7QG/rVQF1xyWHP46RYlPS479c/whO/fm+Ya1h+RXlo09xyKQQXshwYoxLUHg0RZEOMCuCH6wr47LeL6BvywXVZh6qAqbTkZkZyExvcliveajfidiVOgZ+m41JcxsRhSxQ7YjMYmkVJ2BKtxyd1A4m1bLMq5uWuc2++icrFHaqEXFV6HanxnpgbsSoKssbn3e3EYUvSO7gxOcT6Tk33qSRLIcFWyHKceVKI3iHg+c0ewlBPNgOoD8IYsoyACY65bXnc8LG3b3nxpcyti5e52fKTHYetougRs1MAwR/lmd1njPTdm2N0DHkCwAvBaAzfj7C1m+LfHsjjpu8X0T+kk4OpOSGVoCAncTKS2wa3sMCdLv8galzcaoMzbVzq30yuV/LH+j/OmORuEw5hv7GNS7geyiSPUUtirWLYqokVS226C5ueSjoOSn7eSPck7EQAVDmJ5DXjoKDg3DY8J1ZXiPpNxiW1Di4DxZoLMT7/4UFkPYF1DxSwpUcJN0/yDU0eR329j/9+8eqxN61c/Cijh61ovHKA5/J14NHQZ5umnSf2dO39JC0/lc0GERjjCIIQj7zAsPZ7Rdz/dB7lyJMI1c1Hkxez1mlwW5L7MMHNFLhd/tpIwQTHQFXcSLKYUl+0gWmjdzwQm89PEuYWg2I8kVKfnvhjMhE30cdtF3+yk+YBpb5tfockRmqitih9OAFqUtyHgoLXALm+CyYGue7TE1OAcgKhmLUw5GjKc3zhrwZx3pllrP1uIx7Z6AGMIwiAHI1w7oq5pavfddY/CuZ/rljMv1yYHr4O7nzYq+fPP/voWpaZ8aUgP6vCaIxcpoxHnqe47ptN+M0jRZSjDODZrUNSHknKaoObGIPycCR3ksgAF8zjSfVxDcrU+rTbPv1IrwLukRwT+Egc3RuWfu2wKrYbPh116NYztN35Wt82JeFs9/2hdXKd22mSmD3E3EMc+whDHx71cP7KEF9acxBnLBsAwjLiiGPR/GmVhXPavnTf/evXNhfzfLLTVGu8bAmuR3PDYIWT1i9mREul7wC98Xu/CujP1zfgqa15IEdTCNCiNFFi5QsWuNVB+XANyonA7QC2lv6K6u1Ig73G9xzvoVO03GHHiislQOsYBA6jotmThCVJNitVhkiXPYVxAlHNxkAxKhNIct3FgQsl9lOSnKqQWEF0XXLdIECeWRQDtMJx2mKBW/5mCD+5P8Ldj8/lbe1Tb5zWNvWrO7v7K690Do/IZdzx4u1obc4u+9X6PU9f9fdPstFKHgioyjrhcpac2FqNMEtdUdaOzqf0CRAQYbqf1QC3zW/TlGriGm/CAX3awNPGZbJsFaFn2j2u1ydG6DjrKAFThqhd9F4Xz9cF8O1YmSQ8gOkwAZGsZ6ouZLKO6HAIkeyrQySS98lccJi2MVp9c9vGmPlR+1h1bmp35HBr27glQuy4IxOHZGhZDnPPmkAuISh8j2NotII/7nx7vH9k0UkBG37uw+991yvG5iuW4ABQwiLkmutf9AvT17z/7Y3fWnfv43QkAoZjikosIHTEmK0kEkuK1wB3rc5nVZJ7AnCnpbO93tazbUMyLbmPlxRPx4vXkuNIbQeQJERI3dwK0FISG8Rw3TRxFsn9pOEpZBUsJYalei2MsUkBArmNUCuzX5VnBifqM0Tp6vLGk08X2ctT/qJxGoWhh0rooxz5aGxdzc9ZsWzN1t65L7bkeo7IXL4iHVyPRQtX4fFnvMrF566+dUaTd80pC5pQZCHyVBtczJXWh5DcbveF8XXuicBtbgDhqigWIJzw2JTRmTZAq1bWWDwqQxzivaixOeXU0dvSOrhJQlbeTMuzqfVrp85hskxRXW9Fg1a1MhT2sunEbAoMEcQxQxT7GBzxMVKZg8HRhmtaZ5xz6+LplUpn58ojMn1HRIIDwIqTFmLX7r3xmg9cuHXB3PahvbfeW79/9zAkuKGUP703cdCljcokn5K4EYHjGpTAhOCu1ay2yqlTY6SxjtQyIRoyx1DE2+yK7dG0WBj7nITFRNvb5FHrsnAmNJVDgGgJLCBzMJUkT+ZOx1kRgCdBKRa7Isx/yHcAqHoKWBnN2nlFACCCF7Sise3coSnTV24d7N8fN7V2HrFpOyISXI/6uhy27htdd9aZKz961eXn9nXOzoPxSqqMP6kSl8x6UVR3X6iW3MINeZ0EuNUvu2rIONuPJW6P6BDOv4QnB4z0dpvMoppV4VaBfeHGo5h2kq7ETrzYSSK0VbJCvTioo6HKVuNlDFYa0T77/L6Zc0/+aD6zf53n547olBwxCQ4AjY2NAICwfPD2Ne873VvUMXzzdV9+qPWJLSOAx121BEgAZjyQwvFIJh0YaEol0eBGtX5tu+LTMShIA906dlJrZbL3xPL6mN8PpLZenpbkaf09eS/MktSXzdAhIgRCpbIZ6Z3EmVBAZt4DlFIIVYZCl6AQkDUahRCO0JbqqjZSCfpL7ejD23tmFM//n72DldvbWhYc8ak6ohJcDz/ThJe68YPOReddf9XFJ/SctWQQXjxmTbP5R9MvR2K7xXuYDe4U2zGuPo6J6b+XA04h3E8K8TK+5BCjSkVKOX8m9ZOJ1NbHaUtWE4Goa3Hb/wXXNbwt6e28d/XwJP2NG05diRvrWFSdE1bCw5sCHBg7u+fs1edc31Qc/UFbS3EyZ3TY46gAHADmTqtDad/vbj1/Zd11V14wpa9AODzKVCfc6itkGJFx4kUUeKsK2FOdNV/drcEBd4odmXw0oEkQqzroowBs81vmWKuOSFTvN85hq7fEuQmrHT0wjh0F0tjKyzSApkZNScJqLYPVBnRyLiYxI44ZwthDFAFP7+7se2Zb63Xfu/2PtxLSfHQmEkcR4ADQedLF2NrddVumOO9jp528aKiJRcgYTktGsumJSGXjsJQOzjRfrPnhRF0RSbpZVVBSCty2vv3KxwToPso6S01NajJH7OjkxouZbnmSSHD1ssstu+9dtsV+yeM0haCks8nD0HAWZX7q0NL5HR+rb+i67UNXve2oztUR1cFrjUc3tvJMNnPHKUsHo9lT2A//tO3F7IbtAjEyAPXlo4u4eqLOo9TSOQG3pYpMFDUHuIajXj5qRqT9fSr2Y1LxKDX4d/dTwl1HzLrDHU6Mi+XdtH9VKO6F2O21dUgLkTeFjHuigHL66DoqlAgnVh2KdydEwPdCCBLjsU15tDSdUPLr2/9i1aK6O8NK+RW54SczjqoEB4AbP/Ue1NNyvHPfvDvfc37LFTetaSpddEo3UA6ho+KcRgGWIWmDO0kotjx6zLoRaqo3aeAfCnMpZsFa7QY2wY3DdoKXxvviSQx5jAJIg73GsptccujwgmSTFZ+inT5JXxxH/SCqt47Rs2MlweWLII6pw6zYpZ7tFuL5TIh7HhH4tyeWl57aNfeK2cun39nTS+KZi68+Yjgbb7ysePDDHb+666d48q7TxIITz3uBRDs37e6pu3D9nyp+knhKAJ8QBFTmHvtMtWvWOrcCth3/TdPAptWS3CFGSAogSKswxKENXbWGWOur3yfx4BgvHlzvc5jx4KlzShvWzmdo7e+odYO7N7s7U7YhaiS70uEJSUl9d84oFaCqrLauPAzImt+7B5eP7h2ad/Xnvnv1nS91Pcs/cuW7jwX0jg3AAeDGL9+FCy9YiGUnd2688NL8doC8pXv/QFaIGBwyfiNLgcCTIPeogKdSNjW4NbC11NYg0Bfdph3TCHeEWxrsVcBN3ShWcH9tsJNkvyMF8FrgTpapARSp+T1C7ZNqhziBhBfOiyQZQYAFcKVOypUkoSHt+BePxfC9GL4XgpAIQhAMhcsHcrnlH3n/n++5ozG7FTd/+n3HCnbHnsJd+5Xb0TUaIENxVUN+8Kv3/uHJlg0bK/CzBbQEQL3PkfWBgGmAu9SgrXMDkzMaa9J4VVKcVIHOSEti3UhWkFV6PU0FVhETXCXXp4Ktkhos9o1rqWWpACumA6f0fomBbQVKQf1X+q+ZpzQDVF1gxwkVcqS9KQlCANhd9TwmpbXvyfrx2UwFhWwJgT+IvQNT4BXO6F3UkfkUCuFtG5+px7IVHzymeDvqRmZ6rL3mSjWZe28DPK+jvemLXXvva907EIJlfPhMgttXANcqStqoNJNf+y61dWRCaoBcu7t1gGNiYlV/hwSHsoSJ1cUX6e817u90gvB4w46HSevW9vfqQ7Vj3ZObVH8XoKoZqM+MB24Yh48To2J9D5LvF9YTTM4PVyWVGRcWa0LAmKybQkkZQbYOjflLevaW3vmZJ/ZVbjt1SeORB9MkxjEHeDJ3ZBp6+oa//67/dgHpHfRv+ua/rm8lY8PIeBQZn0jpTWSYuNazzWeJuRApgNsXjluxGPY2/WEiTIiHicmQv2V7AW3AJp5CBXaox7dQByOEcLhgXXat5hyM898+J/eGFgm1UWVf2NWq7M9Y5a31CdlxWm5pCVJ9fKTGPBMiY1UIR8xFYmgCAh4tgTQ0ItdyQU9dwyXXz0D4fUIajxmu0uO4ARwAWpvr0Htw6NYPvOPsqKGu7mu//vUDTaMDverxRxKjUveNT4blN09PfgJGpTNyWHSYdXH1GwJb0tpdEaz4MBvtGiQ1MKvBT6zjm/RIsSKw1Au90jUYLbAn64UL9gT0JhkieWpBSW4OJ6rQnkn5O9VtEfVzilAGRgViLlAJKcoVhmy+BZmW1Qdp3eprIfgPCW08igg69DiuAAeAlqZ6hJXw9j+/YGXfyIG98xmZ+6Xf/sfDPiUUgUdldQmYZFquRSpxJZg9kqZFHEksdLJOA9uS0gSGL00wTOAAXQihEnkBQYSqAIWqvMjUkdS8E0iN946qYm+3gO2sg5HUbvyNcP4TdSPoAqmSGjRsiKYFYwV258hSKqHcX86rgEotZAKMxOBCYMac08KgQK7LNrxxK0f+bo/6ON7juAMcAPzA5xs3bl635gMXBRue3DQKQr/5yIanCY9KNBPIjsUxl513k6qpsCWa25eSc4ConjU6U5ynAa4AmY4c0KlctirjdFCwfkeox4WwnFUi/ZSwJKY9SPqNsCVwSlLDZitsQ1u475Ntdt8kkcyVfIIptY0YdiRKvJap47NuFH2+sSCIIoI4JsqJw1Ffl+OzZ58gGls7/7q+ZfG/9BzYX5k568gHTr2c8aoAOAAsXdqJx57cWGlvb7t94Uj5vkp57N0H+3r+98G+bjBKMVbmiGOJHj3hplaJ8rCpi8gpEMeqRDCQdNWVcRPys7YqoRLDdZBckt6oOk0bcOj/wqgvBsyJRZp4Mw/leUmHEKQNRleCJmnFcJxBNYBdnWZmDE2hogB1dr102BBEsQS5852KLaTUigoUQCUkGB4j4DHHrFntaG5r+fspbbN/Wmxq2xVWuiozZx1+gZ6jNV41AAeAFScvBYCxH/7ozs3FxjlfnDOzMSiNNn92966d7MUdI6iEVm6lTa0Rkhij2tALiUDM5XvZSFReTC1VNbUGwCTLQhucUoqTlOROlpGS6vZ6uEbcYTnWtZpCLKkLC+TOjeDq3oYjFwbcFp1HLWMi5orDjqQnshJShJHWwWV/SsaU9Ff1TBiT3xFQjmEu0DeYQfu02XG+2PZ/znxj+xcf29AXz1pw1vGGUNV4VQFcj6uveBfuvntdfOGFl99QGjngPbbhD9ds++njmcEDB5HzY+Qy1En6ZYwoSlFyzBDygkQxRxTL3oqVWBWGh+GtGQGE1QyGptURpNUTkUg+Q8FYQLYol/GYk/Rwdekay5Zunpb4biEjK6JSAZvZQNdJyZBlkSlhCCPZi360TBCGEvRUO9lA4KljEVSqhZ4Xo1jHkS/Uo2XG6eXVq1d/Zfq0KTfcc/c6vO3Ctx9v2Iw7v6/awcNB9A0S5DLipj88sfWM7/xgHS14pTNGhg96nsdACYHHCAKfIPApfI/C86SDRQiB/uEQG3dG6B6kYJSAESEvHpWhAIzITPZ0QJfJeCem7FviSZX6vnHm6CeJ7cSRTh3GiOPgYYzAo0Rmz1thCJrvp1SobSIVd6PWJyHDEsxaqjILwAbMqgkvk9nunmq7TpnpTt1zMIeN24s4OMgU6AHfAwJPIAiAjC9buAMCnMdoa62PprXioVmdF3OWXfSQ5+H6UpmgdcrRieU+EuNVKcH1oH4ycdf/6Me/xLsvXFE/Ojryz127d75nx669tKd3BPUFH4xJgGczDJmAIPAIchlg0ZwKEAziufVZRCKPhixB3uPIMEgJLNMJVW0Pw4en1Q9OZIMCx3GE2tI+XTXKCdxKeQoddsTSpasqcaUMS1jGJlUF5V0pLhJ1hVIJbOk+l12qC9kyCC3hd0814bHn8qjPCmQzkrXKBAQiI5+A8GUkYCXKo65xGp8ybebPgrrCh7u6eoZOWrHqeMNjUuNVDXB7XPHeS7B920tDmWz2Yz3792558KEnlm99qffSrt3bUMhmkAkYCjmKfAbIZQWK+Rhzpoc4ZckwPG8A/+/+NhwsFwBQUMLB4kS9VH3cTd0+o1cb5dqhC3WmjC66A0WdMaWaCLhsygTDABcug5IqBe06cky/dqO+GL09iQ1RL6akd+BHKORKIGQEP3vQw7fX5VFPY8xti1GXZ8hlKKLYAyEUHuPIeCHa53SgHDf8YuacFc9Onz79llKpNDR9RsfxhsOkx2sG4AAwd94cADiwecvOv3vnpe+Y/cKmTdi8uf3SbVs3IWBjqM8z1OUIshmOulwEQGBas49rLu/Hxl0+HtyYQcnzkaUEMQU8CFOEEkbqcsvBYxuZtQxLcw/ID+rtgLCkd21NUANUb06ADFTRf7DW0WRZ6tSJMZkyQE0mlABjMTwWI58t49EXItz84zaMjuRRbOMYHgMEYoSRQLkSI4oomhoasGDxyeiYPf8XHbMXfGJsbGRHsanteEPgsMdrCuB6dC7owIHe3h2nnrzs2mJ97vYTl3d+vK9ny9nloecRVwbBPA+eJxnfsTLDlAaKpvoKwGPEwk/izx3VQasjUOqIUl3GiylJupnBtNFOWBhhGaPQ3LOFUmsYaeuCmqb+E+21tD5XFRpMBBzvpTla6M53HovQP0LQPZDBlLz8XMyBsZLA0EgZU5qLWLlsKVacsuSB+rr8LVPbZz8zWop2NDS9dqS2PV6TAAeAKS0tALBFCLEFwLMb/xROayrO+U5v9wsLhnofZjv35pANZB6hTrMCXJ2WWqqBAwcFag1gWF5L3ecG0C2xAarbZEOoxqsE1Na/U5I8HZKr11ErepBQK+TVATmMG79qffITsDsdI4nzJtZvSWM88AQCH9g/BJx31sr41Dcs3hKw8CMnvWHVXgCbJ10p91U6XrMA10NdgM280rOZ8/j8bNafEc066Wf7hjYUfX9bwWcHsK+Po3/YAyhDQAV8zTgkj3thdG/oICRFkdVwxyuXiSqVAEB1/ZX93zWwre7DSH0Bqm80E6qb6lpBU/RhEvPIrRIayrBMkZNJJk5METN5o4eRh8ZCjGnNFQwPxCjWF3D2abNHTj3tzMHR0eiyxZ0dXYyxHa91YOvxmge4HjRohRDRjqapU3cNDAwuO2Wlf3pddtV3C3RDdNtdTzRv34P6QsZDlnIwcPgJd25c4YAFblXGxWnvqMFt+eI5JzpFUXLpCbiJowKJFLht41AnMbix38IkPVihr1Yojjxvy5mj99DnIJ88TO1HwCoMY+UsFncA/+Pi+qE9/Wf2vfPNi7xigX1o6ZJ5DxfydQNhLHjgHfVMxmM2Xh+3aWqMDe8GoR6tlAez9Y2XlJ/f8vNPf+OOp658/OntYS4aXhxFlWylNIJcIPMQI26avmoAEyKziQIf8BlJKr86k2fpzYwRxWkrvpsR+J7kwD2PwGOGp/dVswv5XyT/9YsxydXr2O70RZKJBjIOJPBj+IwnMe8CxliNYhk3ks2EqKvLgDGv1NKEF3LFBX6UfdPtbVO/9A+PP/13mSktxVIYRnzB3MPrYPZaGK9LgNvjuRe3IRN45Ov/+jBmFhlrby58s2+g1Ll9+0t/Fo52sz0HRrGvNwaPQwS+LAw5VKIIPIFcIJALgGxA4Mvy5UnAFhdGkmpnj2cB22Ma2Pq9BLjvEQQe4HkuwH0m4HsCniedK9rxo+NdhJABZ5qHDzyObBAjl42QDWIEvsDwmIcwBCipIJPx0DsQYLjUiIXzmuKp02at56jbTPjAmrp8f+wVzwdEKIpNR64O4KtxvG5UlPHGsoXzAKNURN09/R/2/aBpcKDvC888eW/w0FNb43kRPSWq0FN3dw1irDyEYRGibziPFgLkAiltg0BGHoURR8hVgzAYiekJw3pwZXwaJsaoKzbVZ/Rv44H0qMxmSmJBhCxHHMeAEBSVkMjoSQCZQDpvCvkR9Bwsobu3CfV1zcjV5TEc88cPjsVPxGwhm7vszZXmlqa/jSqVg36m6XhfkmM6XvcAT4+prY0AcBDAXwHAYM9PEPji7D88lT2vuxuXFbLDi/pGu3HTD7rg+QKUlOCRGPnAAwjBwDBBFMsArphLloISgDP5MGQJD270eS6EYjSESTrWEtpiUxgDPE8g8Dl8jyftI2MuW2mHkcDAEEEljFAscGR8IJPxUV9H8XzP6fAbp6O1vWGTYPxnT26lv/Hz4oG/eO8lx3vKj+t43asokx0D/f0QwPmFXDi/v383f9uan/NVC9vnnriw+TMH9u/B1CkZlMd24he/78XQMEHGA0LhYaTMkPUFChmBbECQCwhyWZ12p1sOEgSeDCXIZynyWanba6eO7wlkAoFcJpZqRyZCIRci43MMj3kYGZUqycGREE9smYb5HbPQVIwwb8401AW7vtiQ27S9K1pDG4vTaUsD2yqAf29q+s8lqccb/+kk+HijQVbG/Xe9vG/ffmQymcauPXsfem5jgKnNQTi1beYnG6azt5bGAIIYv3/wceSyPdjSlQETDEEGAAkRhiF8RkE8irESRyUUyGUoCDzkMgw+A3IBR6kCjJQosoEyMD2KXC5AIUtBaIhndzDMm9mKhfNWIhNQjFZChA3Bb/MQX2tu4P7UGUvQ3HL+A2FY7j+1ccrxnsJX5fgvgI8z2tvbAKAfwC8BYHjoJRDghaDIpsYReBiG2Pj8Jkxt7saefgZe8hGG5fAtbzltbXls5CKPxWFd3sO+vgilUoz6PEV93kNzA0WxIFAsRBgrx9hzIINCFmgoMr+xWLjrYPcja33f98sRxc4eD/M6ipg64wR4zEMoOF3V4HUTgu0LO2Yc7yl6TYz/UlGO4PjNvetBCJna3d3dQBCJYp2HXT0RSqUIDQWGuhxDY5GiPs/RUBeiVI6xszuHQhZoLHpkypSpAwKie/6iM473qbxuxv8HcKViiPslVxUAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMjI6MzM6MjkrMDA6MDBnusvTAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDIyOjMzOjI5KzAwOjAwFudzbwAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 281161000
{'hecke_orbit_code': 450359962770613107, 'n': 1, 'trace_an': 8}
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id: 281161001
{'hecke_orbit_code': 450359962770613107, 'n': 2, 'trace_an': 1}
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id: 281161002
{'hecke_orbit_code': 450359962770613107, 'n': 3, 'trace_an': 8}
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id: 281161003
{'hecke_orbit_code': 450359962770613107, 'n': 4, 'trace_an': 7}
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id: 281161004
{'hecke_orbit_code': 450359962770613107, 'n': 5, 'trace_an': 0}
-
id: 281161005
{'hecke_orbit_code': 450359962770613107, 'n': 6, 'trace_an': 1}
-
id: 281161006
{'hecke_orbit_code': 450359962770613107, 'n': 7, 'trace_an': 8}
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id: 281161007
{'hecke_orbit_code': 450359962770613107, 'n': 8, 'trace_an': 3}
-
id: 281161008
{'hecke_orbit_code': 450359962770613107, 'n': 9, 'trace_an': 8}
-
id: 281161009
{'hecke_orbit_code': 450359962770613107, 'n': 10, 'trace_an': 0}
-
id: 281161010
{'hecke_orbit_code': 450359962770613107, 'n': 11, 'trace_an': 0}
-
id: 281161011
{'hecke_orbit_code': 450359962770613107, 'n': 12, 'trace_an': 7}
-
id: 281161012
{'hecke_orbit_code': 450359962770613107, 'n': 13, 'trace_an': 7}
-
id: 281161013
{'hecke_orbit_code': 450359962770613107, 'n': 14, 'trace_an': -8}
-
id: 281161014
{'hecke_orbit_code': 450359962770613107, 'n': 15, 'trace_an': 0}
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id: 281161015
{'hecke_orbit_code': 450359962770613107, 'n': 16, 'trace_an': -7}
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id: 281161016
{'hecke_orbit_code': 450359962770613107, 'n': 17, 'trace_an': -1}
-
id: 281161017
{'hecke_orbit_code': 450359962770613107, 'n': 18, 'trace_an': 1}
-
id: 281161018
{'hecke_orbit_code': 450359962770613107, 'n': 19, 'trace_an': 6}
-
id: 281161019
{'hecke_orbit_code': 450359962770613107, 'n': 20, 'trace_an': 0}
-
id: 281161020
{'hecke_orbit_code': 450359962770613107, 'n': 21, 'trace_an': 8}
-
id: 281161021
{'hecke_orbit_code': 450359962770613107, 'n': 22, 'trace_an': 0}
-
id: 281161022
{'hecke_orbit_code': 450359962770613107, 'n': 23, 'trace_an': 7}
-
id: 281161023
{'hecke_orbit_code': 450359962770613107, 'n': 24, 'trace_an': 3}
-
id: 281161024
{'hecke_orbit_code': 450359962770613107, 'n': 25, 'trace_an': 0}
-
id: 281161025
{'hecke_orbit_code': 450359962770613107, 'n': 26, 'trace_an': -1}
-
id: 281161026
{'hecke_orbit_code': 450359962770613107, 'n': 27, 'trace_an': 8}
-
id: 281161027
{'hecke_orbit_code': 450359962770613107, 'n': 28, 'trace_an': 11}
-
id: 281161028
{'hecke_orbit_code': 450359962770613107, 'n': 29, 'trace_an': 28}
-
id: 281161029
{'hecke_orbit_code': 450359962770613107, 'n': 30, 'trace_an': 0}
-
id: 281161030
{'hecke_orbit_code': 450359962770613107, 'n': 31, 'trace_an': 10}
-
id: 281161031
{'hecke_orbit_code': 450359962770613107, 'n': 32, 'trace_an': 12}
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id: 281161032
{'hecke_orbit_code': 450359962770613107, 'n': 33, 'trace_an': 0}
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