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{'Nk2': 10944, 'analytic_conductor': 21.847069993022313, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [19, 1]], 'atkin_lehner_string': '+-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [2736, 1, [1711, 2053, 1217, 1009], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [0, 1]], [7, [3, 1]], [11, [-2, 1]], [13, [-1, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45035996307262128, 'hecke_ring_generator_nbound': 1, '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': '2736.2.a.k', 'level': 2736, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 19], 'level_radical': 114, 'minimal_twist': '152.2.a.b', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-3q^{7}+2q^{11}+q^{13}+5q^{17}-q^{19}+\\cdots', 'related_objects': ['EllipticCurve/Q/2736/k'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2736.2.a', 'trace_display': [0, 0, 0, -3], 'trace_hash': 784003319226767657, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.965', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [19, -1]], 7, 7], [[[2, -1], [3, 1], [19, -1]], 4, 3], [[[2, -1], [3, 1], [19, 1]], 4, 1], [[[2, 1], [3, 1], [19, 1]], 2, 2], [[[2, 1], [3, -1], [19, -1]], 5, 3], [[[2, -1], [3, -1], [19, 1]], 7, 6], [[[2, 1], [3, 1], [19, -1]], 8, 4], [[[2, 1], [3, -1], [19, 1]], 8, 6]], 'ALdims': [2, 8, 8, 5, 4, 4, 7, 7], 'Nk2': 10944, 'analytic_conductor': 21.847069993022313, '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': [2736, 1, [1711, 2053, 1217, 1009], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 457, 'dim': 45, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 13], 'hecke_orbit_code': 33557168, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4], 'label': '2736.2.a', 'level': 2736, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 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mf_twists_cc • Show schema
Hide schema
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id: 47054034
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996307262128, 'source_is_minimal': False, 'source_label': '2736.2.a.k.1.1', 'source_level': 2736, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996307262128, 'target_is_minimal': False, 'target_label': '2736.2.a.k.1.1', 'target_level': 2736, 'twist_class_label': '152.2.a.b.1.1', 'twist_class_level': 152, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47054035
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996307262128, 'source_is_minimal': False, 'source_label': '2736.2.a.k.1.1', 'source_level': 2736, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660925232, 'target_is_minimal': False, 'target_label': '304.2.a.b.1.1', 'target_level': 304, 'twist_class_label': '152.2.a.b.1.1', 'twist_class_level': 152, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 47054036
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996307262128, 'source_is_minimal': False, 'source_label': '2736.2.a.k.1.1', 'source_level': 2736, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797778776, 'target_is_minimal': False, 'target_label': '1368.2.a.g.1.1', 'target_level': 1368, 'twist_class_label': '152.2.a.b.1.1', 'twist_class_level': 152, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 47054037
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996307262128, 'source_is_minimal': False, 'source_label': '2736.2.a.k.1.1', 'source_level': 2736, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660925080, 'target_is_minimal': True, 'target_label': '152.2.a.b.1.1', 'target_level': 152, 'twist_class_label': '152.2.a.b.1.1', 'twist_class_level': 152, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47054038
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996307262128, 'source_is_minimal': False, 'source_label': '2736.2.a.k.1.1', 'source_level': 2736, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050394816748976, 'target_is_minimal': False, 'target_label': '7600.2.a.o.1.1', 'target_level': 7600, 'twist_class_label': '152.2.a.b.1.1', 'twist_class_level': 152, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 47054039
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996307262128, 'source_is_minimal': False, 'source_label': '2736.2.a.k.1.1', 'source_level': 2736, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934631104, 'target_is_minimal': False, 'target_label': '1216.2.a.l.1.1', 'target_level': 1216, 'twist_class_label': '152.2.a.b.1.1', 'twist_class_level': 152, 'twisting_char_label': '24.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 47054040
{'conductor': 24, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996307262128, 'source_is_minimal': False, 'source_label': '2736.2.a.k.1.1', 'source_level': 2736, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170408128, 'target_is_minimal': False, 'target_label': '1216.2.a.f.1.1', 'target_level': 1216, 'twist_class_label': '152.2.a.b.1.1', 'twist_class_level': 152, 'twisting_char_label': '24.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 47054041
{'conductor': 57, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996307262128, 'source_is_minimal': False, 'source_label': '2736.2.a.k.1.1', 'source_level': 2736, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934635664, 'target_is_minimal': False, 'target_label': '5776.2.a.l.1.1', 'target_level': 5776, 'twist_class_label': '152.2.a.b.1.1', 'twist_class_level': 152, 'twisting_char_label': '57.56', 'twisting_conrey_index': 56, 'weight': 2}
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id: 47054042
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996307262128, 'source_is_minimal': False, 'source_label': '2736.2.a.k.1.1', 'source_level': 2736, 'target_conrey_index': 3649, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22518204328840920, 'target_is_minimal': False, 'target_label': '3800.2.d.f.3649.2', 'target_level': 3800, 'twist_class_label': '152.2.a.b.1.1', 'twist_class_level': 152, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 47054043
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996307262128, 'source_is_minimal': False, 'source_label': '2736.2.a.k.1.1', 'source_level': 2736, 'target_conrey_index': 3649, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518204328840920, 'target_is_minimal': False, 'target_label': '3800.2.d.f.3649.1', 'target_level': 3800, 'twist_class_label': '152.2.a.b.1.1', 'twist_class_level': 152, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 47054044
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996307262128, 'source_is_minimal': False, 'source_label': '2736.2.a.k.1.1', 'source_level': 2736, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915669720, 'target_is_minimal': False, 'target_label': '3800.2.a.d.1.1', 'target_level': 3800, 'twist_class_label': '152.2.a.b.1.1', 'twist_class_level': 152, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 47054045
{'conductor': 84, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996307262128, 'source_is_minimal': False, 'source_label': '2736.2.a.k.1.1', 'source_level': 2736, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797784856, 'target_is_minimal': False, 'target_label': '7448.2.a.g.1.1', 'target_level': 7448, 'twist_class_label': '152.2.a.b.1.1', 'twist_class_level': 152, 'twisting_char_label': '84.83', 'twisting_conrey_index': 83, 'weight': 2}
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id: 47054046
{'conductor': 228, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996307262128, 'source_is_minimal': False, 'source_label': '2736.2.a.k.1.1', 'source_level': 2736, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503599660927816, 'target_is_minimal': False, 'target_label': '2888.2.a.b.1.1', 'target_level': 2888, 'twist_class_label': '152.2.a.b.1.1', 'twist_class_level': 152, 'twisting_char_label': '228.227', 'twisting_conrey_index': 227, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2822600
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 45035996307262128, 'p': 2}
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id: 2822601
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 45035996307262128, 'p': 3}
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id: 2822602
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 45035996307262128, 'p': 5}
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id: 2822603
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 45035996307262128, 'p': 7}
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id: 2822604
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 45035996307262128, 'p': 11}
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id: 2822605
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 45035996307262128, 'p': 13}
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id: 2822606
{'charpoly_factorization': [[[-5, 1], 1]], 'hecke_orbit_code': 45035996307262128, 'p': 17}
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id: 2822607
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 45035996307262128, 'p': 19}
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id: 2822608
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 45035996307262128, 'p': 23}
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id: 2822609
{'charpoly_factorization': [[[-3, 1], 1]], 'hecke_orbit_code': 45035996307262128, 'p': 29}
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id: 2822610
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 45035996307262128, 'p': 31}
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id: 2822611
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 45035996307262128, 'p': 37}
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id: 2822612
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 45035996307262128, 'p': 41}
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id: 2822613
{'charpoly_factorization': [[[-8, 1], 1]], 'hecke_orbit_code': 45035996307262128, 'p': 43}
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id: 2822614
{'charpoly_factorization': [[[8, 1], 1]], 'hecke_orbit_code': 45035996307262128, 'p': 47}
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id: 2822615
{'charpoly_factorization': [[[9, 1], 1]], 'hecke_orbit_code': 45035996307262128, 'p': 53}
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id: 2822616
{'charpoly_factorization': [[[-1, 1], 1]], 'hecke_orbit_code': 45035996307262128, 'p': 59}
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id: 2822617
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 45035996307262128, 'p': 61}
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id: 2822618
{'charpoly_factorization': [[[13, 1], 1]], 'hecke_orbit_code': 45035996307262128, 'p': 67}
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id: 2822619
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 45035996307262128, 'p': 71}
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id: 2822620
{'charpoly_factorization': [[[-9, 1], 1]], 'hecke_orbit_code': 45035996307262128, 'p': 73}
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id: 2822621
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 45035996307262128, 'p': 79}
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id: 2822622
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 45035996307262128, 'p': 83}
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id: 2822623
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 45035996307262128, 'p': 89}
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id: 2822624
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 45035996307262128, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 11, 'label': '2736.2.a.k', 'level': 2736, 'portrait': 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ETCUtenOxSMYpflgWDDhGaxozl2VlFzPTZMw5a5kPUzI9bNBGyYCdiy3rBtg+KSrS511eTwsTb3P+3x6L6YJ49GJKrHm1/W4e03Gepqhn1HJzl8yuHkuYQzKbgPLBiuvWyeX3zPMltnJzh1bpJzyzUWOy5LHclyL6HXT+iPBPsOL7D/eOeSJ/efe/mBY6fPO3zizJevf+07wntv/eQLDYlv6PaPmsEXlzqEsUFJfv3exw7e9LO/e7N8900Hb/qpt59y5pfXs9Rts7jSYLHjsdhxWOzAUidhqROxuJJwZgUOLgrmZlf4le9f5LqdDY6fnebUuSanFhzOLhrOLMScmE8414uZnB7x0iv6XL8LPFnHVz5nl2qcXnA4syQYBBDHmpqnadYSpiZiNHD0TEy3D9vXuzTrAcYIEB79oWbbhoDFFQeMlSIrfQhiMBiWOiGb17n0hgqhDEIHtGsu2zaOWBkIjp5ySLTDTFvSqgl8F+JYMAgkZ5YkpxcNZ5djfH8EbswNl/a56TLBXLvO4nKb42d9Ti3A2YWYs0sxJ5fg4KLhxZcu8Kvfv8yGyTbHzkxzZrHO/LLHQkeytJKw3I1Y7iYs9TQLPcmJLiwvdfmd/2cUf+/r6/e60z+q3dYl9wqhf84YF8//x5sd/UfL4H/xsU9xw/VX8+/+3b/7tT+/+fb/50N/+bUL9xztnLf/1EC+9PIBF2xKSBIHYxTGWPbGSEACAiEMjjB4Ek4t1nnwgOSKHUvs2jqiUQPXkXiuwvMcmnVJw5UM+i57j9S47VGPo+cCunHE3uMB62eWeMtLl7niwh4v3tXhyELMwkDQ8EccOmXodJtcfoFkZZSw+4ii1XB45ihctMkwChNGiYfjREy1YM9xH+UkuDLGcWEYSK7bNWA4kFxxYUJ3mHD0VIvzNyiajZCVwLBucsByv8tf3Q6PH0548vCI7ZsWufLiLlPTIW+6ocd3vsKwY0OLJJrk8MkJDp5wOX5Gc+JcxIlzCQfPCY6tRLxo5zy/8v091k9OcvzMNGcXG8yveCx2JMudhE4vYqWfsNw3LPUFZweKpW7MtbsW+PG3zktfcd65M8fOD4PwJV5zR73emP7qA/d8jg9+6OMvNGTWvP2jZPC/+MtPsf38LWr30/v/4+FjZ3/+wSeOqDNLIYsjxamB4YrtZ/ntH5vnqh0Nzi5OsdhpsNSpsdRxWeo6LPdguZOw3I1Z6sUsdOD4ssCpj7jxsiW+6xUh569rstJvc26pzvySx0JHsNSxEmG5p+kONd3AMBjFzLQjtq3XgMB3DSfOuQjps32d4vxNhk3rBpxdDnhif4trLjI06ss8fWCaVjMkDF1mpjTDEVyybcTHbp/k4q0xQWCYnZBEyZBWzeeZIyPqbpOrdsY8eSjk7KLH5hmf8zfCtg0hSkWcWADPNQhh2L4+Zqol6Q19+gOX7sBlqatYWoHFjmapk7DQSTjTgcVRwrbNfb7rlQvcuMuh5rY5vdBmYbnGworDUlew3NGs9CKWewkrfcNiH870FGdXYq67+Azv+7FFLtzcZLHTptP16Y0mwLso8eobf601tf1Xh70zyU2v+I4XGjqrbv+oAL5v3z5qtVr99OmT2x557Ol3Hzh08j/tP3iCIJL0RrAytIxyqhfz4gvO8Fs/tsSVF9Q5tzzF4kqD5W6Npa7LctdhuQudnmalF7Pci1nqGs52BKf6BkSft7+sw5uu01ywsUYYNlju1Fjpe3R6iuW+oDcQjAJDGBuSBJQ0+C7UfcNk27BuOsJxRxw8HfLUAR8dN3nDS0Icd4VHdk9w3kb44oMxL7vc51xnSM1RxEnE9BTEkYvjxiwuNnjp1V2+eF+L8zfCw/sDXBq8/jpNLIY8dTDh8IkajvRYP+Uw1RTUfYHnCZSAWEMYGUYh9AaGlb6mN9CsDDSLfcMwSdi+ZcCbru/w9ptC0C0WVyY4t1S3ervrsNyBlV5Cpx+zkoJ7aQCnu4r5bsKLd57lfT92jku315lfnmSl16DT9+n2XDp9Qa21Ga++4RfWb9r111u3bTkWjEbDiy7a+UJDKb/9owH44cMHWDc35+3bf+AHDxzY//7HHntCzC/05CDQDEaa/sjQHcLKUHJuKDndi7juwnP85nsXufrCGgsrkyyuNFnu+qz0PJZ7Dis9Qadn6PQTVnoxnb5muW841xOc7mimJgd824t73LArZvt6Rbvu0u3V8F0JKMJYorVAGxiMAKGZao3Yf9KgTcitDzcJBnUu3Oxx4xUDIr3CXY9OctVFLvvP9Okst7n+igFffcRn/bRh91HD//22LruP+Kyfltz2qOLGSxRLgy6Hjk9z1c6Qu54aEgcNbrjUY8fWEcO4z1ceUZAIDp5waDccHAGDoUQbQaINUQxIjeNpOn1DsxWxdWPATZcM+LZrYmaaNc4uTbC4Ume5a4/NclfQ6UOnF9Ppx3T6CZ2BYWkgOdMTLPRiXnLxPL/23nmuPL/G/MoEK70G3b5Pd+DRGzj0BpLuQBAmNX3RxVeYCy648CfOv2DHRxYXFsKdOy96oSEF/CMBeBxHMo4Gb3nqkS9ceHbRvO/+Bx5xoxhGIQxHMYNRQj8FeW8o6AwF54aSU52YGy45x6+/d55rdnisdCeYX27R6ddY6Xms9B06PUVnAL2+oTuI6fYT+kNNZ2CY7wvm+xAlAVdeNGTDdEJ/YHjj9QHnbdDEicSRhjCCO5+ocexcjY1TMU8frIFusGuL4uqLNX5twCP7B8wvNLnsvCbtyWXue9Ll2otqLA5WWF5us2GD4cHdiu99dZ+HdjtsWeey0O+wvDTN1ZcMuO/phOn6JJdd2Odcp8ODz05Sd5q8+GLDzm0jkH2eOCxYNx1xdj7iridcRpFCSki04byNId92fUivr9g0pbn6IgjDBkudBksdn5W+S3eg6PQl3T50BwndfkJvkNAdaFYGhqWh5GRX0BkG3Lhznl/94WVefJG9ODq9Ot2BT2/g0hs69AaK/kjSHwp6g4QgSLjiRddE/VD99Pe++y0HWq3G5z3X1S80tl7wTOZoNCAMht9/+MBjv33qxIHpU2dWmGxJhoENFDEKk/9pawEKYZDSIKXDQ/vW83MfcnjbjUt896uXOH9zyJnFNr5Xp+57NHyXZt2hV5e0hi4TTcdeMMOE9YFmGBh6I5+l+RonjhvCWHPyTIzvG0DgKYMjBYOhQuASDxxedJ5gxybDts0DgqTHlx5S7Dkwxeuu8bn6kmU++iWDJxqct3nAk/cpNk8qZtsDaqpOGLmc60Gz5rBlveDxPSFX76zziqsW+NNbhnhui9e+xOD6A772YMgXH2jy7OE6F2xqcN7GhLmpkPNnIy4/L0EpjaMMYGj4PnOTPmHk0ht4PL3ftSUKwwyI0B8Z+gP73XvDhP7Q0B0aVoYwP1CcXTY0Jjr85Bvm+Y4bA668oMnphTadfo1eDm5FP/03ByPBMLAEMAwNd9z9kNtsT//2PfdtXHr5Tdf9VL8/+NNms/GC4usFBbiO+yDMDx8/du+vH9p953R3pYvvuuiaAgtlQIGwS40QIIXtpFHSoGSCJyVP7p/jsX1N9p86x9tu6nPTpSMmW22WOg2a3RrtoUd/4NiTM5IMRw6DwGEUGEahJowMUWSIE3sPYw+jQSqB6whqnmCyJZhqwYZZzZb1A2anOnz5Ebj7MRepJ3jdNS4v2tXjnmcjwlGbG18k6AyHnFtscsNOzezkgLrjM4oV890IpQUv2unQaAU8urfGy6+e4Porezy6V4GZ4JpLPX7ozUt89fGQ2x5qsvtYjW1zig3TdaZaDSZaUPfBdQxKgjaw+7AgSQRRLAhjCCLsdwwShoFmlMq9QaDpD6EbwHxfcq4HgR7xmquWeMtNHf75azVx3ObMQpNuv0Zv6NEfuvSHit5QMRiJHNzDkWYYJAShJgg1S8dP8/G//tL0ci/5L2/99pc7K93BhybbLxzIXzCADwfLhJH5oe65r/36wvHb1vnOiHbLZxgYIF3ZhEQgEEIhhEBKUnCDUgZHGVylqbuChUGdT9y+ha891uVll6/wntescPn5fWYmGyyuNOgNfQZDNwW2svdQEESSKBbEsV3qTbpcKGlwHKh50KhrplsRm9cNiOmz/2TEX91V49DxJpN+nWsvdbjhii4P7utw6/1tXnJRjW0bB3zsdoESPu1WxEo/QBtQAubaA7o9Dx3XecvLzvGJLzbYcbbGm14yIIwWueupGaKkxnWXruNN13a5aGuHrz064MnjDZ447LFlWjLdFjR8gefai1AKEMKgDWhtiOL0Yo0MQWQv5FEIwxB6I8FyIFjqgXBGXHXxCu/5thVedmnCTLvOcrdBp1enN/Dpj1z6w2IlGASS4QgG6YUzGiUMQ80oMAQRRFpx5FSHP/n4bev6Ab/+vW+7ycwvLP/J3OzU/x4Af9OPfYAv/KHPuaOf+oEkDN+3fO7pWZOs0KjVgNgyNZatESCERAiBEBIlHaRMUEqky7PGVQbfMdQdwfJIsdiZ4uY7mzzwdJ8br1zhPa9d4aodHWaSOnHsMxjV6A9dhoFDGCmiWBInkkQLtBE2CyoMvqdp1GJ8L8RzA04uBtzysOTACY/DJ6ZQ2mfHRo9Lzldcs6uL8ud56mCLzZMNLrsANswts9Rtc/lmSawNX37IJxhIJpsxr79uxOfvijh2psXFF7qcXhnxzCGXreunuPL8ee55ssd9zwiC0GPX+dPs2uqza0uPg6eXOHASHtrTYP+hJg1H4DuSpm+ouSClPXbG2Is1TiCMIUwE/UDQHQm6EYQ6RpsRL76oy3u+rcvLLk/YOO0zGk2w2KnR6/v0Rx6DoUN/pBiMFMNAMBxJhoHtGx0FifX4AwvuYagZhdbRCRPF/NkOf3bz7ev2Hjn7vtpkI37ZD9710bs/8FWE/0v/dAG+cuI3mNwyw7tq8//8ZRc/+3vfecPBybpbB99HiAiwEkQIk7I2lq2lQCmBo1T6qHFUgusIPEfjuQbfNTS8hMmaoBe4LHen+NTdbW5/YsT6qQHvfmWHXVtHjIZ9LjvfsHWDIohckqRI8wsMUmpcJ+HoWcPhM4KVoeZz9zQ4uTCFCV2maopNMw7bNzhcsBku29FFywU++PkmS0sTvGSXw2U7OnztCYGIXdZNSZqNmEHkIY0EI1GOR2ckOLskuNQ0eOU1Pe59tM6mWY+XXDbNv3zzAh/5Yo+H9jbpj1wWV1qcv6nOxRsHXLezxzte3uPU0hKfu8dnceBz9LTLyZMerhJIaVc9bQyJhkgbklgzNRNxxaUDgiBi19aAd74yYN2EYrrlE0U1Ts/XGAw9BoFd5YY5sG08NAwEowC7EgQJo1AThImVQJFJQQ7DSDAIBaFxeOZYl2dO3Tn7Sz/q/d5tvzcX4X3s4//2P32A3/mFH/unB/DHH/09PnLvu8TpAx9616PPHvnjXmd3Y2ZCEVhcp8CuPkpppYKUEiUljhI4Kn10BK6T4DkCz9XUXEM9MjRCw0QtYaouGISSXtjk8Ikmv/nxadAxIo655ooB528IiWPQRmOMTeJIIZBK4Lgee4957D5Qo1lzaHmS2YZgbkaybtph05xi+8aEi7evkIhFfv8zbY4em+QlO112nZcwjHvc/5TPZN1lZsIw2Qpp1K0U0lrSGSmW+obFTkKnX+ell63w8O4Be44pJts1rrt0kve+ZZE/+Cw8eqBJf2hY6TmcXWqzYbbBuqkR22dG/Lt3DWg3Ojx5GPYel7iuQSmDEBow9j8DcQznbUi48fKYJHKJYh9jGoxClzMLHsPArmijUOXybRgKRoFgFFrWDkKblQ0Cq7VHkU7fMzlzDyPBMBL0QsFKJOhEGjEY8ZU7Dk0eP6H/OBI/Gf/2L7zy5vM2ftD81Ht/5J8OwH/pv/0lf/jp7Wrn1s+9/ZNfXfroHfcfqQ3DJju39dm1tZfKAo2QGil8pDQo6aKUQUmFUirV2xLXsZrTcxWBKwlCjR8mBJGhHmmCSBOGhnYMQaQJYghjwSiSBIlPlNTYc6DJE3sgMQYLbauNXQmesjUfLR8u2wjtOkw0JVMtxcykw7pp2LYhYOPcCpFZ4vc/M8HBQxNcfYHigi2SHVuWueOZmLOLE1xzvmSqral5Q3zpY5QgTiTCGOIkZLlf4+yiy9W76rxoZ497Hq2xfkrQqLW4eqfmJ9++yO99VvPMyRYrfc1KTzG/7DA72WSqXWeqPUG7ETHXjNh+dYjvxrhOjFIJUthgwmAvqihSnJt3iGJFFCvCSBFE6WMoCSJJEEpGoSQIhQ1QQ0EQGhtARpaxwzDV9JF9fxTCKBKMIhik4F6OJP0wQY/6vOi8Dj/y1hFL3Scb/dj76D133ab/7Q9f8pl3veJPk227/sW3PsD/+wc/zlTbU77Y9867Hlj+01vuGdTC5DxMPMSg+NX3drhkaw8lE6TSFtzKRSltH6XBVQbXUbiOwQ0lnivsSXAFgacIIwv0KDKEcWJdkbh0TyBODEmiSTRWb2tycGdSyJHguuA7gpovaPiSZkMx0ZBMTQjWTcds3zCg1VzhM/eG3PXUNCsLba7Ypti+0eWirSMSscKXH2rQdB3mphStxoinDsKzhxwu32oYBIorL4q4YofhzOmE+WWP4ajBG67t8fUnh+w/qWjWJb7X5vILNL/6A4vc+cyQz985y2LXsH1dwnLHYbKtmGi6tBouzbqh5mt8T+M7CY6yUkumrZXGYBNWWhBrSZwI4lgQxZIwFkSRJIis8xJGgjAyhCEEUUIYacIScQRR+W7BPUzB3Y0knQgGQYSM+lx93jK/8iOLvPXGmCCs0e3vri0H7T9/6sHWv4iZ+eTjD/xlctX13/OtDfA9p4xMjne/+9ypE3+4Z+/x2sykz0LgE4Yuf3uvIgwc3vmqLu96TZ+pdkJPahyZpDrb6mHXcXAjB99RjFzLNIErCT1BGAl7ciJFFEMYSesgxIXtFyeaJLHuQmJSpyR1SzJ3RkkrezxH4HuSmi9p1gXthmGypVk/HTA31SM2K9z8dclHvjjDulqNK7YJtm10OW+TZvvGZT5zv2FpqcauDYqpNrQaEWePSM4t+3jnQxAJ5iYkk5Ow/7Bhuas5s1DjovNqvPqaHrfcXWOmBb7noeQkl+8Q/MibzuHKc/ztPVM8e7LG+m7EusmYiaaiVVc06pK67+B74LvgONZhkgKkKIEce2EnGpJEECekQIcoMYQxRFFiSSHShNljpFPbMXNlUgsytpKkHwm6saQXacJRyITf5d1vWORdr+zzumsMnV6LQVBnMKyz0j1Sa06YP968seO4jvpLcsvsWxDg//1DnyVO9A98+e7Dv/XU3mPtlufQVIbEFXSERyAlX37I5f5napxeXuT/fseAqXZM4NfoDmo4ysN1XFzHxQsTQtfBC600CSObSreMIywTpawUxxAlkCTWSdDaBlxam6yHMwW3BbgNXAWuYwFS86FR07TqMZOtmLnJIbNTK9y7J+TPb62z9/Ak50247NgAWzZ4bFkPF2/rMoi7PLi7TV25zE0pJlsw2QqYmojxPAch7MU1DDyWuhErA0OnH3Nu2WPbhhbX7zrHrQ8N2HuyTcOPcJWHEBPs2Kz4vtcu8OKLz/Hnt7Z48OlJFvsO69oxk42YRk1Sryl8V+C7Ete1sYpSpPahRbnB9rBqTQ70ONHp6pZai7EmTiy44wjC2BT3yLoyo9iSyiASdGNBL4bRKEbHQ2bqXX7iO5f4f7+nT8P36PQajEKfIPQIYxfPBRHta68sxr/vNF/sHd37qY9sv/g7v/UAvrzSQSn5wx/48Kd/ffncyZn1LYU2BplkmlfQFS5DKVkJHH7rr112H1zmLS/v88qreqyfDel16wwDH8+N8T2XIHTwPWvvZQCPIkkY22U3ilNPOyG1/kiZW6INBbhtkjJlbnCUTZh4rqHmaeq1mFYtZqodsHG2y9nOgPd/zuXLD0+ztNzkwjnBtnWCzes8tqwTnL9phOOt8Im7HA4db7JzvWSqJZloJkgZcHLe4DsSKcAYQRg5bF/X5SESugPFctdwdqnOzi013vHKDp/8mseRsz6uEyGEizZNolhyzfnLbP+eLl9+dMDHvjzNI0eabJ4SzDYTmrWEmifwXYHn2ljFUdjAWYq8JsNgLzJtsE5LYgGfgTxOrKSzYIcwsbUuYZY8igXDGHqxpBfDMNQkg4Atsz1ecfUyb335gDdeq3FEg+WVGkFks6th6BJGDlGiGAw9wqWlmemNwfsuvvIdajjofqjeaH/rAHx5uYPruP/y9jvv/vU9u59d165pQiUIE1AxKGGQUuBKQV9KerJGJ3T4xB017nyyx9W7unzPawe86SUdZiZ9hiOfYeDhuy5hnB6oNFCKY0WUSOJYEiWCOJYkiSDRotDaWpCrEpNlRG2ySKXJIs/V+F5C3Y9p1QNmJ/sMoyFfe8rwV3dM8ODTk0x5LpdvNmyclqyf8dg0J9myPuSCzcs8eWTI574+x4RymJsQtJuCdiOiM0j44v01Wp51h7SBYeDwlhsDvvCArYnp9DXnlh22rGvxtpv6PLinx+79Hk0/RklhQa4bjEKr9b/v1R12bjzHJ+7sct+zkxxbrrOhLZioGRqepuZoPBccJVCSNEGW5hZSqOtUqmldrHBxCnRLEBAlgihJgZ0IRrFgEAv6CTbmCUOa9QFve90S3/3aLtfsTFg/5TIcNen2PcLIIwjtOYsyUooUYawYjiQL+/evi+X9v37FlTfqQb/z4Ubzm9848U0F+PLyCifP9QkTvv+WW+/6r7fd9rWZlZUVap5lLxnbJIqSIGNwBHgSfAk96TJwFSe6PqceaPDAU30+eUWPd756yOtvHDE96REGPkHsEkYuUewQpUCPE0WcpAmbpAC4Nilz66KmTKQ2pJK2jsNxNJ6b4HsRdT+kVR+SMOSrj0o+fvskTx+eQEQ+500ZNk4aZicVc9MeG2Ylm+Yitm3ocny+xwc+3yQO6mzZIphsObSb0G5ECDekO2wy2TIIITAGolgy7StiHdOLPHqDhOWu4uR8nUsvaPGj/2yF9/2lz9H5Jo6K0gvDIY5rjELJhhmfay7scsUFfZ45epK/uqPOrY9McqpTp+krWh40XYPnGFwFjrTHXIhqdZ0GjLYXXaIFiYE4EdY/TywhhYlgmAiGCQxjQxzH6ChgpjbkDa9Z4d2v6fGyyyMm6i5h1GS54xNEHlHsWOaOVPrcAjuKJGFkJWZ/tMKh3bevm52I/+uW86+Po8HRP4vMFN9MoH9TAT4cDtm6ofnWO+5+6A8+/4Xb2oNeF89TZBGdDegMKraM4kiDk9hiJk9p6olgoDwGscO5oMbfPtDkrqcHXHdbn3/1nT0u2dZl3aSi3XAII6vp4rgAeZIBXEu0kRhjJYHJA8o01a+MDWKdGN+LcVVIdxgx34343c/UOHxuikd3T2K0x0xdsG7WMDshmGkrZiZd1s9INszEbJ4bMDO5zJcf0zzy7CRXbBFMtSSthqTd0DTrIcIN8H0HR9nfbwwkiWQYOAxHEbEW9IaaXt+w1HU5s9jmhov7XH/pCp+4rUZ9SeFImyzQxiFOPMLI9njOTtZ48Y4+L76wz0OvOMXRecmf3zrJuZUGJxZ9PCVpugIvk2HSBp45kWdSBcvksRHEGiItCBIYxRBqA0kMcYRUAZumhlyx3Z6Pay9JaNcd4rhJp2eBHafAtiusk8rGErhTWRkldu5LOOrw1GN3zAxD/w+2nPfi5SgcfO6biclvGsBPnTjAxo0b1M03//WFTzy9ty2THu2mgzbF8ihTaaKEsbUeCTiJwFUGLzbUEkFDCYZKMHB8honLYljn1kcmuPfZIU0/4F+8scOWmZjzNg254bIejrAtYkJYuWKzkrZW2pgSc2MQ0qCE9cwNMciYZw5LHt7jcMuDLZ451iKMG7QcxVzdMN00TDWM9cHbDtMTDjOTgg3TMZvmhmycW+aupwM+eMs6Nk46zLWh3VS0m4JWI6buB9y7TzEKHdymBZUxgjCW1BzFVTuHPPDUpC18GiasdF0WVnzOLkzxo286y4mFRR54fA5XAiJCQw6gIJT0hw5TrRqT7SbX7xzwiisGfM+r5tlzXPOFB2s8uKfOvkNNYuEQBIpBpFB56UM58ExzAkYTa4PRGlckTHghNSKuv7rP+RtHbJmNeM/rA+qepFl3CcMGnZ6XrqROSjgq99rtXa5xF+lKIQi0y9KJIaeX7muvP3juwn/21neqZ57dl1x26TenaeKbAvC9e3cj3Cnv6ace+UHPSX4rCTpMtn3CWNvARZKWt1oGd6RAxViJkBicGFwpcLXBTww1JWgkgkDDKHEZJi6DpEavl/BfPzGFiSPWz424dNuImYmYd756yLZ1IVEkUr0tocTcZBeY1Agp+NSddZ482EQ4DkdPNTh5tkGtrpjwBZNNQ7umadegVRdMNBTtlmKq5TAzCbOTMetnRmxe1yUxK3zq622G/SYXbTG0G4pWQ9Kqa1q1GNcN+fIDNYKBxF1nu0UzidKsK95w3ZC7H9P0A0l/mNAdOKz0HM4sNrjk/BbvfFmXR59pcHSphZIaiFK97BIliiCyiZn+yKHT92jVGzTrAZdsGfGSi0ccP9fhyOkVHDfhiUMOn7yjgVC2cI3x+YNGAxqMIQoTtq+Peferh8y2Ey7eblg/A0nsEoQt4thluesSR4oocdI4yAI6A7iNiWRa61M2ADKXS+R+fBBKziwu4jW3/tYDDz482LVzx0d2794dXnLJJf84AH7i+HHm5+d3nj518v2PPvKIREh8z9aSxNKkpa0pa0uI0xR8rAVObHVilBjcxGpA3zHUEkOcCEJtCBNBoCVBIgm1S6Rhvt/mjic1hoS/edCObMDo9J5l8VKLTGQViRKpFHHkILWD60haPpw/Z2i6moavafjQ8AXNuqRVt3JooiWZasPMRMzcVMCmuR4Jy/zup2vc89Q6dszAVCNl74akVY9p1EOajSH1egNfSZRMNThWDkSRy2goGAYJvUDRH2l6Q21b5poeJ85O8NJLA37yXWf57U86HFvxEUJjTIRODFHsEkaSUWDLWFtDh2bNo1Gv0fAb1PyIVj3kmotCPDfi2oti3vOaAY6K0ySQtvX2ZVGeSjqtJUJIfFcBHqPAYXHZsXU7SRbzpPdYFjFQWriWgTsDdgbkOA1ai9f2fAdpJecTjz8ia777/iQefX00Cp7+ZmDzHwzwj//Vp+mNqO89sPftx48eFIm2y5/jWJaQsSGRJs1Q2gSMVAaVgEqsNowTcBLb+xhnEX2SRvVZZK9F8VoLQi2JjSTRDpH2SVLbq3zLs5QCHCFsplJBrW6oOYaaSvBd8B2oeYa6L6h7kkZd0qg5FuBNwWRLM92OmZkMWDfdZ9O6RT54i+Zjt65n66RitqVpNxWthqLZgEY9oVWPOL2oOXjap+bZCxqySj/BKHQ4f4Nmw+yI7shjODIpi0tWeg6teo1WY5L3vOYch06f4Y8/txlHOhg0iU6ItSGKHYJQMQxtUdSgJmmMHOq+S91P6PRsjOG5iU2YuQmOtI0SUialwra0biWt5bQgF3R0WmWpbVyTJBKtJbEu4p04EaUAP3teeoxF+n4GbtKfC5KE1JK0ROQ6iv17nxKuHL79wh3nHbzr9r8ZvuLV/7BG5n8wwLdtqHudzvLPdpbnfzYMA+l7Ko0prdaTQucAT3Ray50IklSexBqcxPrVSZZ80CZ9bfL3iudFpZz1ckUeKJU1N5Bm8kwa0GocSVrTAq4SuI6xvrEjqPmSmiep+4p6TdGqS1oNw0QzYbIVM90OmJ0asG39Ig/uC/jEnZuYqvmsb2naDWHBXZc0a5pmLabVCHhwLzyxp8GFcybVvUXafBgorr3YcNG2IQ89PckgMAxHCf2hk4LcpVGrU69N8l0vX+KJfed4YPcGMAqtE1sOGxviyOT1JMPAoTEy1GuKmqfxPRffS/AdjeMkuI7NDiul0yI262ohDIJCzxXBuS0h1pkjpTP7tWTFZsDWGWiz1+TALgM61ulj6Z5lmQ2C4Wgkj588+x/DpO75tcavAeELBvBgNJRhOPzlW7/4lz+VBGe9ybaDThWC1CATgZKSOAe4BbZKkwqJMjg6fa5tA61OyJ8nWcbNZJk3g04zcVmywhhDKfNeWXGzVHWW0FEyzVgqSkVbNvvne4qar6j7gkZd0Kob2o2EiWbMZCtgZmLIprllHtg75Jf/dD3HTkxywaxmsgHtuqJZVzRr0Kwl1GsRnjuiM7LFYq6y8Ud2S7RluCj2aNcjBrFmkNZZD0YJvYGkU1c0ej41v8V5GyJ+9Qc7/NJHJffvXo9BoY0mSTRxEhPGmjBSjELF0JfUA0XNk/iewfcUvqNxXev3O8qkdT7pqprKFCFMtUE3Te2blERMWsuSpIBPdPFoyUimj6IAePo8yVmbPPlmL4CCyHR6boMA5ncf93pD76d/+Ie+z+33B7/QbDb+3un8vzfAjV7EmP6vnT5y27/RwaHazIRgFBqiWBSsK+0Vq6QgVhmQDVpacCcpuHX2XAv7RdO/r3OPFow2tos8LQEt3xkDeCq708DSShRbU24lkZO2ormOxPfsAKCab0cy1H1Ds6ZpNRLajYiJVsh0e8imuRUe2DPglz4yy95j02yftg5Lqy5pNqRl77qhUUto1CKiJOQvbmshlcKVBiUKm1CbbAl3+b7XLfOVR0J6oc8gBXh/qOj1FR3foeb5+G6bi7fG/KcfWuQXPyK47+n1aCNJtE2rR7EtNAtCTVCz5a6+L6i5At+zmU3PMXnG1lHaykRZlCXnAC9SnkBKIthcgnVb0kA+A3A6dUDnyTVSdidfcbPVuQC4KR4zTGiTr0qjwPDIk4dq7s13/tvvfsdrxclz3Z/bvO7vl+n8ewP8nocOgNHXP/Xo/fW5eozveRjswbLLjiCRoFKgKy1IpCDJ08MZuDP5UVzFWXYta7+yQBe2jiIDdXbgxz5X0buZ1plIimKqtI7cAlziutLWb3iCmm9nnjT8hGbdgrvdDJlsD5mb7PDgngG//OFpnjk6y5YpwUyzJE1qDs2arV+p12LqfojrBpxcnMJVAiV1assVQWaSSOJYsXHKEMcR3aiWdspohqOE3khSHyhqnovn1nCdCXZtiflP/3Ke//An8MCz60i0tABPDFGcpEyuCXxNLZSMPJVLMNcF10mdKyVtLiBztwSI9HENjFu5QpoUQuTJIZ0mh7JscZKU3teF5ExKwNa6ON85DnQB9Dite+kPQ5bP3lnXo83X8w+YUf73AvhD993K+jnV+PRnv+ahFSNlK/Jcx+Ssmaj0i6VA1zp7zwJda0PikH/JKrAzGWJyoJtMjmTPn+OzSVEUUUmJ9d1TcCsp00aJTJ5AzQXf09Rrhrpv9XOjHtFuhEw2h8xOdXhk/4hf/NAUTx2dY9OkYq6pmagLWjVJo6Zo1AX1mr04bKo/5IHdgv7Io6ZILzKrwbMmhEQLotihWVPccFmPB59pM4isTBkGCYOhoucrfE/huV6qnye5ZKvmN957jp/5I7hv9zoiLYm0Tpulix7MwJP4nrbs7RZ19I7K7qQypZBxWbPJWiDPkkImA3gK+CR3Xlhz5dUlCZI/Jib9eRXocSpZtIGGL1k8p/nkJ7/mXX3daxt/87dfHHzHP3vT/3qAnzp5jOnZLZMP3/c3H5idCF4ejGxwIIXBdQrXItEQS6u5dWnZsoxdXOVaibVZuwRonQO7aAom1d75yRC2oEjIFNxpkZHKAQ4qrRh0HfBcbCeQlxZY+Qn1VF606gETrSFTrS6PHwj4xQ9N8cSRdWyYdJhraCbq0KwJmnVFo65o5OydUPNjWo0Rdz3hsdKpMTVVpMkzwOhUm0aJYt2M4jUv6nPXw9p20YS6BHJJzZXUXAfX8XCcOlJqLtlq+PX3nuNn/shw3951RNohSisAbdmrZXI/knl1oedIHCctwpIC5WTHhvzzZRdhJlVEVpVGkRAav+vSo9alx3zlrYK7XNmZ5HJUpxixBoMx9rMsdxIOH++9fG7DkT/5vu99548dPXp0Zfv27f9rAR4MTjIfnvuZ/sqh7xb6HK26k491SLRlAS0teFVJh1mdnV3lxRWfyY8klyHk7F0JJMeZ2xTp/wzkWf5Clmq8lSoqBh2Frc9wDK5rG4trnqbmJdRrMY1aRLMW0GqMmJ7o8Oi+gJ/9o1keP7SedZMu6xoJEw2Tgjtl75qk7lv2r/kxDT8k1gG90EcoiZsxeK7BRcpeqV8cuTS9kS0XCGtMZSAfJQw8y+C+J21NvJNtQGu4/DzD+37sLP/+DzX37VlPpB2CRBAmOmVxQS3S+K7Bc23vqpPGHY6yJcJKyvT4pF352WOpMCu/MMuxzhi4cxIqEVMZ3HlcZYrnRaxVBnr279jfEwvB4WPz1BqHv/vuex87GEbRf/hfyuBB/zBeY+v2/Y/94RU1eZjptvVkbZRNKcIGpU0RhGiTdpRkRT2mBHCRH6hElw+YKDFFkZU05TUzY+1yUJktt2mHjkqDKcdJO4PSIqSserDmJqlujqjXAqbaAyaaPR7YHfNzH5zlsUPrmZtwmKsnTNQMrRTc9Zq1EzNw1/2EmhfTbobsPmK489EmnpS4SqdBXKEjs+U7ShSxdnjlNREXXtDn4LE6cw2KPscgYTBKWdhROI6bJ8yEMFy2HX7jRxb4D3+k+fozc4yiuk2GxYZGqmV9FwtyJ1u9dN7bKlWSr3BKihLARQnkrNIrBchNFeB5hWKx8q61MhfsXlQyJpX3inLeOJY88swpQvnQFb/xH39k+9P7Th69fOc3vt3hNwxwY44Ck+eNVu74HU+cfmvdXYZGPR1OmSUEsuBCFoFHbi8ZdJLJEbFqScv8YZN72mMuySq3JGXucXALg1SZLZhmT1XK2o7BczSuq/Fdje/F1LyYmh/SqAVMTwxY7g24+2n4jY9v4MkDs8ym4J6sG1p1QbMmcq/cOi/asrdnAV73A8IkYTSsUVP2IpOitPSTaVaRBpqO1fJOQBAahpEoAVzjeQme6+C60k4VkG4OcARceb7gN35smf/6lzH37ZnhVKfNqCmZTAyt2FBLJw74rkm9/8xJMTl7Z1IlA3j+edMPXcZ5rhDTk5KtqgW4q5LSVnOWwF4Bemb9Fqt5UgG9rUNf7g+pHe+89WOffSB59U1X/NuHnj595LrLN35zAb5nzwGQzZcweOztov84NX8GbRKEhDg2lH1RrYvXumwlKZFLEgtqkS9JOntekiJlgGeHuKwKs5MgKAdLRTd+MRzIlsW6jk7HTCQ5uH0vBfd0n/nlIb/+Fw0+d/8cC/0p5iYkc7UU3DWruxtpYFn3JQ3fpAxutXfND4GQ2x/3WI48Znwq9diI6gqVJLb5oe07vPrqAQ/sDelFPhN5x7rGC2ytuudYgDvKNmQLaRM0GNi1VfLb/6rLFx4Y8msfXs+JhSmGkw6TnqAVaxox+JEdvewpO9DIzQJNKfIgOHssB+rlC1OIvFckPz8wJiHLwC7FT7oE/nIeYxzkWQIvK9mNYoiNw52P7uPySyfffsNl6i+C3vDIN5XBu70hrWbtotvuvPdf737yIK+4opYeqASwrJkkaUo3y3xlDJ5mwDJA51o7B3UmQUxhQ42zdlmWUBoKRDFHJXMBVAZwZWw5rpP1dtr+Ts9N8NyYmhfhexGt+hDHGXDXEwl/8sU2t9yzjlC3WdcWzNasLLEWYOaTq/QuUuYus3eE4wTc++wkg9BhYyP7POMMnq1utpS05iquv2RIrC3Ah5GwXetZ53qgbXDopLNhUnsvG25nEMxOCr77VX1a/ik+/MUhdz87w5mozqAmaceGpmMsyJ00DlEmjUtMCvLsGIqidlyCpGDxcbculyrZiArGtXm5e6ioPc8YPVkjOE1KMVms09ZDI5hqCsLlp3C55F+/9PqXPxYGw/2eX/+HA7zfOcLTT95Bs9nepPsHXjFbT0jiFjHaVrg5KcCVIEkMyhTMrXVZkhTsXZEjmdYmTSZUgF2yHsr2lTBj0iTLytmKQTvaTac13ym4la3F8N0Iz4uouSGNxgjPG/DxWx1+88/WcXB+GtevsaElmPYT2r6h6UMz7bCv+zbbWUsTQrZ+JUlXAitPFroJ/dDDUwpPmjzApPRVsgs7q90IY5e6O2LD5JCVQYthJNJxazZWcN0ktflUancqC/BK4GorH9/6sj7XXjrPb/z5iI99eY6luMnAd2m6krZja3B8BzxF3gzhZEmffA6NyLPAWQKoTCpVsVIGOpUVWJuq1Cy0+dh9ldlgwa3TuiNHGBquw569I269c98rDp80mzqdzv7d+45xyc5t/zCAG5NwzTXXnrdwdvcHF489wbb1SR4wOUqnrolBaYGWppLONaYqUYwu6huy4DE/CIiSJBFj0iQDtynYJM2+yTLApUFJO3qiYO4kBXmM51hJ4nsBvjvkyNmYP/5Ck89+fYZDZ6doN1ymazDlJ7R8k6beM3DLFNwyTwrVUu3te/bCaTcDPnOvw/6jdWrpBK68XYwC5fkYB2N1eBQ77NoOb762x598aYZ+w6Gdzh7xwzRuUBrHkenYOkogd0sny64K22YlP/e9A644/wR/dMs0h85MsBTXGbgOTSVopED3pLEXTuoy5atfdlwz+xCrz4tMp1ntk2fElJVO5L75aksx7yIy5VU8ddzyY1PIlayO/uyS4nNf3c2Pbb/kgzfc+NI3Lq90/06p8rwAN6YPNBgu371FBA/vmG0dwwgfKSyIjAEjRTodSqTNvRl7l55XinfIwW/K7G1EzgIFK2S0bSo6MAO2fcxGKVtwW9ckY+8E14lt544T4/sBnhPQS0Lef7PHh7+wgZOLk2hVZ3pCMe0ZJjxNI2XuRp6+l2mdSipNUu88B7dns5dBFLL/hE8/9JnyUxcnSzplrkSWhTWlmpTIod10OH9LiPJH9MIWQ09QjwxBBnAnSRM1yvrYMisBXit4VcxNDPjRtw54+yvP8OEvdPnjT82wMGwydGrUHEXDEdSVwY+NZXNppYoji/KGLMu5islZQ66MOyxAJZbKZEiJyMosnpFgXndUJkCsVBlJh5OHevztXXt2DE19y3d/+9VHTi3EbJp9bhg/L8CPnZpHqMk5PXJuNp2vuHMzkiCMbddMekBNqdJMG5m+LqrQcsbWGXOXgJ1+gYKxBWbNT2JKdqDJgV2RJzKtklOJBbiT4KgEz42oeSGeG9IZhdz7pOTjt7b51NdnGCUtPM9jxhNMepqmZ2j4hoZXgLvmS3xf4qfSxCaGUmciBbjn2szn4dOGux9pEEYuftOsCjCzW5HOtkQQRgrXdXjNtT0+8dU+e080GdbsaIbANXgxuJHGDTVKSetbS4EUshjuQ3E8Ey2JtaThO6yfHPLvv2vAJdsCPnZri4d3TzA/bDJSHq7rUHMEdQl+NmAps1elsfkEQQnk1ZqV8eKsMqNnBDXuiGWvC+1dAnYWfBuITSFZkvSYxQaGkeTzd97rvvddV9xsksUXOaY3//dm8G3rNspb79v3kg/81f0TG+uSX/mXK0x4NYLAI9EqBXbG1LJUXimr4B6TJfk9A3YqUcoMXin8sT06lsnzlLLOyz2t7jY4KrEAV0kuRxwnotOPuOdpwZ9+qc2tj06w1Gkh6zVadcWka2h7moZraHiGukfK2pa5676k5ilqnqDmkVbo6RTcGt+1+ls5AftOwMlOzSZWUn1bTZwU9TO2D9KCPNaSMHRY3xZctHXIU8diBpFLkM749kIs+FQ2WTdL1IAc68zJLp7MhowSWx/+7tcMef11y3ztsR4f/XKbh3e3Wew16EiPvufgKYEnBb60jeCOtLvUKVFcpEqkZb9rMPiq+pVxJi8RmqYUeBpBQkmeGEGcgjnOnmtIjMZEEQ2nw0+94xyb/b+dWDr39pdI78ov8TzDg54X4P3eUX/HxuAPz5082Xzg6DSvvbbDd9w0ABLixEVrVQG4TrfzK4PdmCrQsw73CsBLB6TCCxVpYigX6FtZolPNrVEysQPxMzdDRsz3Yu56xOGL97T43N0TnOs2EbUabsul7cCEazt56i6p7IC6J9K7TEtOU93tCfyMvTOAOzGeF1PzQoyJuP1Rn6On68xOC1ypUx0rikbfEtuZkoWaJIph4LJ9veA1Vw/47P0h/chlGAlqru1X9dLJUsUqpXK/2s5RpziuRti+1KxRQVu/ve4HvPtVQ77t2kX+5us9vnBPg7uebHGu02AoPIaeg+MqHGFHerhS4gqTSi2DQpSkYdU+XIPMKy5YwdwiD0CTMcbOQJ3kP0sHNZkYkghGI97w8iW+69URp06dbuqh+kPpnLwEGP5PA3yhYwjM8J+HwzsmR8Ehjp5SfOZOj7e/dAXftd3p2mQAV4VEMbIiS7LX2XuVkwC2d3KNmsBKQFkCthA6tQPtsM5MjnhORK0WMQoS9p6EI6cUf3XbBF96uM255Sa4NZy2S0NJWq6h5WjqrqHuQs214K65diahLTOVpbtIf25SkOsc5J5r29MOntI8ddgH102XeVNK0YsKCspBmK2XFsSJHed8+fkBl27ps+dkg2FN0IgFfmQIFKm1p1P2ztyUzIIstErus6dWpNYqnT7gMgpd6vWAH3hDwFtuWOErj/T56682OHKqxp6TDcIVn9h3GDkOUtmpvgpw0seMyXPpQhH8r7rlbkoBak0Bag0lMIPGNj7not0kaRYwAh2BCHnbqwZs2z5i36lDPPbww0T6+UdMPCfAl1eWRRSFP/mRzz05+bIrF2j7Pju3xgjf4PshbpgQBsqyuFEpQxcsXgW2LHQ3IgU1pccxeGeReq75bFLDShKd7vKQ4Pt2kmqcJJxZhNvucDh4os6dD9Y5uVzn4Kkm+D6q4VBzFE3H0HS0dRFcOzi/5tpxbRbE2V2md5UCnFRzp+B2E3zXsre9sEIOz8PuIw1cWbUHc4lCUQ+eOwqZk6LTvsbY5dLtQy5aN+DpQzGD2KUVCQIHvNjOBFQlgEspEFJWmBzG7TeRB7NZH2WUuASuR7se8n2vC3jZFV1OLne5/SGPQ8d9vvJog1OLNZKhi5YOkacQUtqVIu3Kl6QZT8hly1ogrwSalLPUmduSaVRduqf9taQAj2IIExAx+44rbn1Q8ejekIvPu332ja//mX/97//lkfc5tfPWDN+eE+DPPv4FjI65ettRXvqiAfc/E/HxW+u8/5NNLt0RsXlKc+H2AGUkSSQrS2IV6JkUSYFdYvGMraufzJQi9oK1cymiElw/IUoMh44LnjqkuO3BBk8f9nj2cJ1u4BOEPrgequ3iK0FDQcPR1Es+sO9kdRpZ2aytC/dTWeJ5Cs+T6QVgCu3tJjaz6FqdX/MijA45uyQJjI/jSDxpcEo22xiB5yBPTLXfMYxdBA5z0yFSjehHLgNHWKcjKgrGHKUrGUgpSlFsNuwIgdGyYPLSYCQ3Ufn4iUHgsWEqZNv6iGsuCBiGQ/7F4Q5PH/G47YEaTx2ucehYjShW4CuMVCAkiSxlg/IkxRpapSLOMx84e9Slx7G71hBpHBJ2nB+yeSrmkh0h11wc8YefbPHAUw1uuEo3Yx77bkc57/ufYvDHHv0EUveVG+4Tmy6OUE149oDL577a5M6HGkz6mm1bYi7fFfK6awNefVUIxrZF1ZukOluCFsQp+LNAssLg5UveWECTzi9xHQNCI6QhCg2DkWX0Iyckf3mrzyBSPP5sjQPHfRb6HkHigeOBclFthScFdQUNZagp7DgzlRYeKcvanits0qMMblfipbLE98D3SF0TmzJ3HY3nxmlGNKJeCzm3nHDbfS06PZ+pCYGTevFZ0Zd4LmbTpYBQS4JAMTujeP0NI77y8JBjnSZDV1qZ4oAbG9wo86xTj10m1i6kPOtE5r9DG6dSMpEkEi9RJI4idu3YhyhyrZXqRjS9iJddHnP9JQFve8WIfcclT+x2GYaKj93W4PAZF4RkMHRIQpWVb2KcDOBjllE5fVsBOGA0IjEIbTApsOvNBNfVCKN59dUBr7t2xGUXR2zfEjPpGyYnDI8fcPjS7T633D1BEBwR3/GG89Rnv/zp+G1veMc3BvAoFhia7396/9ErH02GnFxu8Qd/M0HsuCwMJAt9w+ElzX1PGW6+LWZuOsZow9U7Q9792lHeazc3obnq8pBmLV1xjMhzYKvPuciH83QGgieedFjsSuo1yYO7XT7/9RqjSDGKFKfPeGjhEBkXLVxwHITv4EiJpwQ1aailwPaVwVe2Vt1zUs/XKZjby/oyc3CrtEdT5OztuRrPywq0kpy9PS9CqZA7HlN89v4WynOs3VbR38/N4JkXniSZ46EYjVzecuOQz93b5WO3T9CPazRTHe5mOjzKkjIm7xYSQuYAs79KlrR+CeA6He3gWCZ3HUXsODhxYoGuEpSyg/SnajE3Xhxzw8URRgS881UDRpEd5/a3X/d5aLdH3RcsdBVPPO3RHchUJQmeU5TnO0/Y1sCrroqYnUxs00OiefdrR1x1UYTRMDetmZ40OOnFq7VARIafeOuAXmeBw/NDNqwLr9yycdf7hTA/+g0x+JmFLutnWu2f/71PX/yJT0yqs8ughaKvJXjFn9NGE2jD2Y7m7IodGrPvWIPP32GvRJMYJqY0L7kypFW3dcBrpifLl3rqOqz0FQ8/5dHtKKQj7UwU41hmEg52LrAD0kFKiSuFBbM0+FLjSQsET4Gnihl9FuSiaHhwbCNA1nhcBrdl+LSs1s0YPCndY3wnwpiQkwseYVDDn5B4adpbpVV5lSxm1tEDlK3TvDtdK8LIZaql2Dob4okRw9hnGAvqjh2CmdWQZAktJcvlrTL/XfZ3ZK6WLrKnWqfNJ4U0iuMkzRuodC57TBQnqMjmEhyVIGXMllmdrhiaS7aNCM0Q6Wg6HcHDTzmsDCQqVyzVoLpyptNirGZNc/2VERNTGhPblb2u7LGzn90hiSRhKuWy21TT8CvvDUj0CDDKaS9f3N70L9smWe4KNfX8AD91ZoH5heX3PfPs8VedHikif45Ya4QxaVFNKShQJg0I7Hux0XSynytNd8Vw+o5m6SuuBfCyfktPjhDobMsF0ppToYogR8rUyspAnaadJenGrZlvXHp00k56Rbr1Hjm4bVuXwkvB7TnkJaaWwVMWdzRemh113Qjfjzi+oPnzrzTB8XClKALMXJ6IVQxe9oezIaEWbHawThi5vOf1Q/7mriHPnm3RT1wasd2U1lYBmqITR2U5gXKwl5UuZlJIlgq8srvOa2EcR+Emdl6KmwJdySJpZuvG0+dCp4ODEhxhECZhtqH59pdqEEkqMwGR7Z+xxjnPa4wEaEUSOWTzWOJIEpGaFJkLRzV3oo0AY4PmMFQ48bFXeRNH32dM/ON/J4N/6jO3IaXw+vMn2drQ9BJJP5YEWhDl5nwJ7GXAQ6ZF7PvKkLglcK+J74zdMoBXgxchs/kqwu6jI2xa2Re2WtCV9rUjSWsq0u7xrJDIoTQHhXRntqKrvgC4zGWL75m8pc3zdGlwToybsrfnREgZcvSMYL5bQzgOvqQiT2T5a5VOd1k6VICXOh1h7DLTDti+YcieMwHDxGGUgJ8I3MTgxqkOj8mdpSKFriqdCllsZyftZl1VoiSNNE6iSZREOdn25SotVrPbyihZ3IXUqBTkIvvd2ClZQprc9cqAnjlgawG8SO4VcVkGYio5lBTkedZcpmM3XAYjl6izwvLgVs+soRBWAXz+7HGEgLoaMdUwqEDjCjs+N8qmj5q0oIqqDWQLJ8tA/rtkCWlXTqmwXggkRYrYTqUCVxhckYI2lQDZ8/y9lOyLUlDyBltPCQv2CrilffQyoGfBZwrurPvH0blEcR2rTz0vIibiC/fWOTtfx51QeOUajrKDwpgiLaeuS9WXWdJnFNgJtm+6qc+9T47oxjUGjkM91oRpOl3JoiAqKzgTQlN0DmWBpshtSWsdpjNVDLYCVAscLYiVwElkuoudreWJU6AXyTSdJ9ik1KXEW/pclsGd2rz5XjHPcf5LhXbkJgQV962SEdcW4GGsCEKPbt9jpScwi2fXXC0qAH/kwTtpNmsvveXLd1+7vLTIUtfODvRScnY1xCJNUCBKBn2p4zoz9Z8f1pUNX2X6qLJHYXAgt9pUmjK2800KjZvNOlTZQM9UnpSBnc9BUdh+xLUAngWcme52MlliUr1drSX33AjPDTnT0Tx6oA6OZ0dAS5On53MGp8riGXMVPnC5VFTmnngUuVx9YcDM5JDOcoNBrGgocGP7XVRiByipqAxwLMjzXyTHKjVF2jeZ1g4pTaIFrhYkSpIoTaIEcQrycvFaVg4hM5CXQJ2VTAh0CnLSkuYsE10k7SrFGJX6lTKbU5IiVIGeZ2ZVWmqsWFgRBKZ27UW7XvLSL3/ptnve8MZvWxvgm2Y6KGf47ddc3L3qzgf7dEY1jBH5LG8pwMlkCqZSDqnzwMb+W3qN60mk9knZTMqu8iwrVoDD5Aw+XsLpZLURaQ14Vuppm4uzThUrS1TevVIAO2u+teydam6HXG9nlqBl7ALcbl6dGCGIuOXrPvc+3UL6Dp4Udv52XkFYns9SrqMuTmpeu1OqwEy0ItGK4cjlhsuGvPllPf74lhZh4tNPJLXEEMSkK1e56k+nck6PXVDPxeSgHZn2Qooc3ImSKKUto0uZjpbQpVLkcg2QKUBeyTZnTJ4t0iWZKlaTeXnkXlHDUhTlUWLzIkNuJzlMNkOOEXD/3rmrdDv89jiK71mTwZ/Ye5JRvf36v731lu/9+v1HeOS4xISSpms/qCvT2gDGs1NZRaBJP2xl9Vk1Uq08dyMDdwYAWQKFpKh5KI82yJjbbkGSvSZlcPI2rAqLp90wrqqC245TGGPutGfTS9vbXCdrOIhL94iQiL++vU1ifFSevSwHmEVfY+ZsVDQ4Y+16WtrpUEkWbDoIXN796gF/8YWAFR0xTGoME4Ebk7O4lAYZi7zozNqF4+unpLAmRQnkgsRJRzmoFOSOre13EpmO2bMVjDZ7LPPS5MKiLFd3FmXMeVNKDvRCqqwGeHVtL4M8V7wZuNPnxtjt3Jv1kKsv6aAafV585cbvvfTKt935Y99z5CtO7bwqwE0SIvXwwv1Hoh1/dbtDu15j2rP/eMZI+V4NqSwptyuNA/q5bkKUmLwkT3Kgj5Vn5lp8THNmoC/P9lBKFFo8rbirDLtJge0oUTgpuR1oO+5tY7JJmbsIMJ0Se/tuyKMHJPtP1TDKRUmJJzXOeJ1GSYCPuyjZPe900qLkV1uQR7HLjk0Rl17Q5/59dSLlMYwFNQluYnDidDOBdGMBGac6HGnlQuVXihKLi5I0KkZ5ZDMhHaXzGZIqlX4FuLNaIJOWCWRMTr56iBK4EdnErLXZe62byZpXKQLPCtOn+FHprnUzLZdXXbZCrTXYEQ7DC3WSfGUVgx88ucJEK2CxG9B2HKZ9qKUBjZRFPfZahe2VD/Y8Hztn7jKTjwO9BG6V13wXtlshWYTtnhcFuG2QKfJucScHt6wAvDz8x3bbkwM7z1bmzJ3gOTaxY7uCIgwRn7y9weJiHeE71ncvX4TjNSgFOVUswqz5tlzHnXvTWhFFDrPTkne9psejB9oESY2B8qgnVotn5ax2z6NSKSs69cTL0VApm5z9znTeY3kqVTYVQenSXHdt8sSS3Vbd5E0vIv3eFtSyaI4YZ/CxppUi3be60G5cBRSZ7+KviZz5FcbUcRX4eoCJT2OSQf73c4D/f+//W6RUdJZWmG1KGm41YHreDo4xED/XLfP/C3ky9lgGdJnFK+PFCsaWZQZXosTimVyRKKcKcM9JBwC52daBaYbTMbh5Kl6nz5PK3VG2c+fZo3DzrS0C6aGkSrOX1QtxPIO5alkuHceqDk+1eKKIEwc/cXjX60b86ZcGPHmoTqRcBlLiJTp1jwQyMaXjZGx7mSivpzr9XdV9i8pMnmhwcgvRjrZWaUmASkwxrDOfyyLyCzoe0+P2fJaL5SgxeQbyv2utLzF3/r8872//7ZK1GjsCtfIMJjxm0/5lgB87fpKtWzY1fuLn/sf5jzx+lqhm/eNqgFQ9O2b1W6vBXH4txp+v1t7PLVFEDpzxcciyxNhZkJlNbXKcbJPXVHurMXBn6Xs3a0zWdmZI3iKW9XTG6T1CuSH7Tzr0Qg+Uk8oTM1YeO37hVg9IdaDRmBeeduMUiR+Hpiu4ePOIJ/eHJNpnqD1qia3ZdlINroTdyNUmljK21GRBZsHkRaVn1uHu5INN7XvZwFRHk3YQGaQuJgRk07WSbHXPDYAiuMwDz7HzXQboc+GjgqU1nJYKyAWI2BCEtkoykuedf9HVP9VYWvr5wfT0RgvwkyfP0FnpvO6qnbM/s++Zp0gcq0XMGr+sIknGVpnnCijz90T1ZwKbzykDoQB20ceoSqyoKkM1M5BT1EirEqjz52mSR5F64RbcFsDFUCC3LE/K7K3Svk4vZKmn+e+fbrE4rCF818oTaSqrSjE45/k1Z2WaQDYnJmdw66jEsUO74fAT7+jxtUfbLAYeoXQYSomX9lAWIx9SBi/X0wudl9EadApujUGOOSsiZXCTB+kZ2JUUKYNbSZTkLgq5TCl0eNFOWMiULPAsrMLKsRlb5Z4b4KlCKUmWstyLVgSbGtt/5vix/ffE0fBvIGXwZ3fvxvd9zpw6TtNP0MIlTopJRKsH8Pzd+ZvsE5dPcHWw4xhrU6S17Zy8cYlSHUyTA1sKpCrGj6kSqB0pcVJJ4uQAzzS3zoNK19E5uF0nq7+osrerIjwv5K9ud3nmYB2ki5QSPyuNLVmb+R7x6Zd8zmpCimOb71RRkimxlukmTy6X7xjw1pd1+dMv1dCOz1B6+FLkSR8lBVEpoBtnclFm8nLWsFQToxUoY1cFbYQFdzYlTEOSz08RBcBLjxbcIs1oFvIkd1YqGChefyO3Su6w1OqYz1BJJN1eQnz0FP2hRxLbjSEcgFrNo+Z71HyHmifQwk4UShJKA+fLk13TbOtzgTz7EiW3xL6dFeabVQNlKp5xHliKgs1zhvy7AC4LgKtSDbWT1qW45FLEVYVb4paGAxWa27K369ipVcsdzd/e0WKh40MtdU9EeZOttSUKQlSZPGOltWy7UrZOJ5mb4jDVVvyzVw343L0jFvs+oXIYJjK1J0Xq3oiiGVuOJ1Yse2dv6ZzNi95IJ3NWVPo8HXut03HY2XEvg1ykO+flUjKVJ3Z1LutxMSZXRBXgwiDMc6PdiBR0lWI1e8yyza5GIbSMg5BefgE5Tz69j+npqfPuu//hnzxy7DS+55BoC8YYgywdgNWTptbENqbkHhjGTnYJ6NW7WFuiZImTCrCrs7/LHS52uDtVcGc7G2TMrUrMvYrBs3ETxcgJR9nM5eEjgn1Ha2h8hHTy5tyierAcP4iSq1F8+XItSsHkoiRPivmOebtZ4oBx2LU9ZMfGEYt76pjEsyyeWJnilFycgj3LhV5ZvZAspKdJ2dwUPrmWxdzIcmyjtL1otCTV3tl5KcgoB7cW6SyVTJOLMakixvBg8hdryRSLo8wiLOZX5t1KsQW4MYJB7wxTExf95EUXv/Tx+TP7jzhKGHQSbnAd8/pBv0O95jIKtU1C2LpFpC6W1PFSk7VE5lp6e/wxnxVCFeRVeSJKzoQoBZsFoC2Dk44CLvvg5Xu6pbUqg7sE8nS/ejctDc3YW6WvHSdCqYgv3N9i/0IdvEKeuCXrsnLBsnpcxCpWMmUJOJ6OrmrxMHS4YDbkTTcMeOjZBmiXOLFa3E3S7G5SlUoFc5aDpRTkxlRm1eTPZfpcpquKzO722CfpiiFFyuo6W2FNTkxFwqf8PGXpUntb3vZSBvfzuU4l7GVD97PNr8LYTus9c26Fwci8vj+INowCc8RpNQQNX7B+WnH+ZpflniKMi8gYBEaaCus87630ATPmek57MDsIVLV2IVNEXgY6DuyczZUoNeGWwJ3OJyy27WA1sJ1iQFA+4s3RKchjK09URL0Rcv9exd/c0WQ48qDh4EiBK6rSZPzzl7/zmgBnTH+PWYZlXzyKHSZaDm975Ygv3Tvgwb0epukyTHw8QX6hqfz3Fzq4tJbmIC/nLGzwmV5gyrJ5Iq0e1yXWzoJ6nW19okVJf4tSoFuNoQrdXcQF9j2RA70M7ucEeIkYoHCBMheqP4ITpxN2LWo2jgz9vsZRqo82gumJHpdf2OGR3S3OLBS2oyhdYWsvHWuTVIWtVwF8XKJUJ5oWwaXIQZPPy1Ol3RvSrVOcErgLkGdlswbHKUYoO+kmTI6qAt3N2drelbIBpueFRGHCl+5r8OyxBrguQqoUVOnckFJwKWT1pI67RtlBzFmbdEJYKZOpTVEWqkt2YRg6XLIt5g039XniSJ0g9kiky1ArvISxz5J54YwxuH00Y58FlV1sGq0EKmsSlwKjsFI11eP5iipB6tIsQ12sGnIc4ONxCWPA/5/IdI5jUUo7Su/MYsKzx0ZcvTwiCEf0RgHO9/2Hz6CUS7+/xKiXMFdPaLoC1y1KVsuAfV7yFuPPV4/fXYu5q6DOGLscYBY7EBTSpGQV5oydAbyYnJpLlJS5LWObnKmd/LF47qbBpaMifC/k6aOCr9zbYDD0oOkiRVY5SMkeXCOLWfqeZV7KalGyaL06SH4s4VMqwAojl1Yr5A03BnzurhFPHPLB8RhpiZdqcaXtBrtlaSAScnlAMubtqsLJcRSFdJGWzbNVJQvytbFgl7pItAlddlPSc64LZh/PcawC+BjoKwz+HLgr/9yR1uK97rIBr7n+NFs3fZpmcjutWoxz+OQIIQPiENy4RVtCzQE31f3ZUpPCddVvKP/+NX3v/IOLyhW8JovLEtjLmjsHudXb5WymUmmFYVpRaNu50udOeT74GLjTu5tNoU0L/B0V27sT4boRsUm45Z46dz9dtwdG2oZmt1TCWymNLd/LL9ZioJIFm9t2eVO5dVQSLStAD0Yur7h8wJteOuCZozXi2MUIxVA4uAn5ZxJJweLFR1ibyctD7JXKmNuyuX0tkFrkOjz3+zNGz1bblMHzoZ1j4K4EnBWQF67KmjgaA5rFVmn4kLQZ17onmW5MIhLDqN/BGINzwZT9G0lsIDI0azIfwFgEd6xePsZei9L/xhm7eG5fyDLAS21d5Z0FKsCuSJVymr50V2PgVqW7U2yCmgHaLYE6c06sY2IflYrw3IjHj0huvr0FeCBdhFB5F5FKN1ItZ13LjlB2hER+TEqCLgMVZeYuaXAj7I4YKh39kO8T72CMw7tfPeS2+0Y8fNBOEoi0YpCItOArBV2SAadUB1JcXoBdPVBUgJ79VKWg1zLdzycLijPtLVM2F/YxP4e6NLBTli7+SgKskCTF8XqeQFOMfQchMMKunIkQRImkN3RJdItW4OK6CqMNztZp62WGIQyGWTrbesgZsMaDxee6ukTpA5Z9zkKDl6asjunuQqqINFlQXFzZ58jn5JVBnramFZtN2Z0digH4BbgrrF16zBprM6miVIzrxkRJzJ0P1nnqQB1cF6QNLj1hSpNjy4GVWBVYidVHq2TTZUAXJVeDqhZP6y20Sh2VxCEIXS7bMeIVL7EsPkwsiwfCY6TBSUQR+CWZXWgBVUgU+wHKNUVl61JJMMogjbCtt+kEYWFSYBlRSJXSSl+wd3pedfnCL6XX18iD2KM0psVFQRNldhfChsoyn3lpmzhGgaA3rKGUh0HjTLTs+K8gUEhkOpa35GvmV5epnqoKW4vKhyqb+fkXKX2x3L4ac0yqe8SM1Z8I8r138t2Ls+bbSsNDsXWJUmPgLg3Fz90TlaCcEsBTieI5EftPCz76pRZB5ELDTeUJeWuaKu8SnF+4RfxR0SvjN1MFelmmlDcH0GYtLe7Q9CXf/4YBt9zdZO9Je/ElWjFIlK0yTNLkD8KyXyIKt6K0kpgM6CWAS1NocZlqdKkNRtpzZKSwANelWCljcl2OpdZY2UqALnv0ZRJcy2Iex15GulKnxV6xIIzs93JdB+k4YAzqt37rv633XOe/nDhxbJfrYDc7coqsYK5903th05XuOQjLkmJsr8rxn2Xvy2wccPqYjgfOgTt2z0YmlD3u/NEpdLd1UKrgLu/VUxRTpbs/OFHezOA6IYkM+dPPN/iLr0yC74OqoZRDQxnqyqTjKMgbnLOVz03348xq0ItElKSYDEslQC1iicJ2zC5aIUkbf4teSCUNwmi2bgg5uSB55CmPWNjJA1oohLCltGvFPVVpKcp9CMVrU06sQNbMW8iX0uZTlC/OamfXmvfy3ym5SXnPJWOPq0oaqluiFFuHC6JYEMaCOIGdu67acMVVN37VOXPmxGQUDt7oKo3rumR7HGY9g+MFVs91RWV8vqYFVL7iVkmSsgZPl7oya1fqwE1Fe8scDIUkUSXtrfKdHkobUSkzJkmySsGMvSNcJ2LfKcknvtbAzl+x7J137me/X1AZLyxL37scaIryCwOsBQ5drg0p5grawDPNahqJThSJSrV44vBdrxnw2Tsb7D7hggwxQjJKXBzSepHsWCfpWUyyxE8G1ZJ0Mva1wc7Gyj6bTMElDUhjZUGmu6Wxv8Po1B/XaYBaWZ2rbL6mNCm9V5Eiqy7KyiJYtEiarL5eoJOIhcXeG405Mek0vYSwoZmddDDYJE+cbq28qgZl7PZctmDxgUW+7FRss7IsKetYWX1eBrjtIsn0d+l5BuSs2i3T4CVw24msOn20dqBSGpX53SpGyRiVypNExXz+nia79xfaWwppve+8g4Y1T6Bg/HVZQRYnpnhebUCueOKliVSOFrY2RRYp/DByuOTCgLe8tM/BT/iEiQLhkAiHoRA4SWrfZeRD5qgIynych8ApoxkjUKYoODLSfkZVZl1hihS/AC0t8HUmU0o+eBnsZSCvAnuZLNfU4WMAL2WCEw1xDHFiGAxjTs8HhHqEMzutcaVmeVbTHwn6Q5HufWl3oF2rkvC52Luqncp20PgXXJ0IWLu5ocra2euMtTOwZ8ydA12VmbzQ3SoLIrMtTqTGkcXQfKUSXDfi0GnF//hMm5F0ySZoFV3z6QpSroEu68lVRu7at8pImdQLz6rjipR9WYOLSn1Koh3ixMVPYn787X0+fWeDg6ccUBFoh0i4DIVAJYWjIcvB5hjIM2/eAE6pVNogkMam501amyRN5onrCpub9PdoKRCmWD1WmwlZkFiAt+LUPY8GX+sY2mpCCCO7Q/TCSsRcJ0F5Gsf3e7RbPTbOjjg57xFG9sAWFW8C87wIL7GUKF+J1URO/jx1ZdZiwDKwxRhrZ4mUKrh1IVFklcGdir+dgrnid5fu0rK464R0Q80ff67NyXM+KCe1BmUqT0zF986fl797haWqia41TxJljZk1HpR7NDPNKfN73gwhFUnssHku4L1v7fEbH/XoRDYgMEYSaGVtwyT7HAYSQaGwC5AX/7c/USmC0vlNxaMsHJ98nyaRJoCyc5dahiZn8OcIOCuOSDVILx+z5wJ5eSuURFtSHoUJZ5ZiNo9iGkmMc/OdLq6RTJkk71rOEzwl+2oNXFecFFG6AjMmqyxFZP9mFQjjzJ0Bu2DtYkprzt5pwX0B6BKTOzpldJ1LEytHdEmqZIwd54+OinD8iE/d4vPBT7YJtGvliVC5PMmbiscssYruziWZWOuIrTpBGa4Kq7AM+ixlb9BaF5t75ckfuxV4zYn50Xf22XfU48Oft1ocFImQjNJt+GRCzuBFAVZ2sorUfdmutKAuJIsxKZuLAlyWdGypq6kkfqyMyevSUzzoMslVMCOq+KEEdLH6SGbxYXmnbLBtips3KN7wkohdF4xwtk4oFhY9nj5UZ/P6gvbLdt5a/Wjj+mjc915tBa2uTVhdmGPGJIopBZnpFt3lLQNV2XXQJamSgbnE5LKoDsx1d/5oZw0uLcOnv9ZgOcjAbQHuSqu9HVGVJ5VVJ7PLKivbanyXtXYG8vLJqsoTiq0X9ViduJQordDaIU4cJryEt792wGfvabDYUyAj0IoIq8fHqwtXU9baTG7zQEVSKKtPyYJNk7J4DujUJ9eGMca25xMhLMOTShkoLrg1sFSRK1SP4/g3cJSwu9VtqoGe4OziFM5UW2Fih4W6JIrTpSXzQ4XVXeNkVJYk5UdZuuIErGpHWzMgK7c95YApjYiQpqK9CyttdVCZDacpwJ1UAswsyMz2uXFK7O02Ym65o8aDT9XRJe1tmxoyeVKtN8lbs0rsXfb8y1b42iSesmduoRUSZbwZwpSDTiPtxgOpLx4nLo6Ouf7ykDdfN+DPv+CBCkFIjBAE2kEJYbcgyQJNUYB6XK5k1qAx1q7NmF3JQkYZWSoUk3bGS4W5jb3gTQkDOiOxjK1N9rPC0lyLuQtMFW+MH04hrD0rpKA7kCyuWOvNmZlUkCgadXudap1+6fS3ydIvrjB0+ReJsRO8BoNnMiUris+lyhhjCzHG3qIK7MJFSV8rg5OOGJMydUykSXV1SZJkjoksSRRp3RPfjTh4TPLRW1qc6Xl2v2tpB70rQbFjw1i8sEp3l33nNdh7/FZJ9JSYfdVWi9kWjJWue7t/jn2025+sbyb8wJv73POUz8GzEkQEKDSSkZClTaQsqDJQi8pVWMik/P95NjM9D2U2F/Z5BuZMtmQrsf1ZNvtd5BlIu7GsKY5b/jlKz3N2zz5f+m+lny/7u2BXULC/fzBMWOwkGJXgTLUNItFMNhPOrcj8D8u1TuLY1TUO7vIVWAY0gtISWdXd2dKV/668vrrE3CoD/BjI8xnZ48+TXHtnLO5k44BVjJIJTmoLel5EkGg+8Fdt7n60bnvbpGO1t5S2a0cU81fyz5qtLIwdnzEmL+N81RJbyWAWrkWxx3u5fLZcRqsxeTmtIkk0sXRQscMrrgn5kXd3+eUPeASxtBkoLYlTV0VqUfpsFuSVEQ7GtqRR+nz2tSjFBml3vQEjTRpgivwCyIPO/KI3lXoVkbI347gaw8xaOKvaisKuSKJojAE4O9AsdWKUm+BMT3Y5u9jj4QNDJnxo1RWuY5En1gimKixefj12ARRsblYVvxcsWB7sswZ7l/afl2vJE2nybm+7bbYuSZTS2N9Md6czrvPgUsa4XsztD7t89u4GQehC3cm1d87eeWBL5b6Wt19eVu197abjSndKCuxCGhTFV0ZlVYbVWvFES6S2UiUDehw71Bsxb3/FkFvvHnLbw8rahkgQkkg4DLNVNP2URSVfytayVMpbWmUMpboUmX5OCSr9ftlrY7JSD5O7KFJYptd5BWAa38kSaEu4MWPvPReZSmE7jbL9O10H2g1YN91lRYSc7hmcT9zpcfKkw9GThl1bNYkvcSlXE1ZP6DjAnxv4Zg1Ar2ZxUdbbZW9ZlhyLTP/m+6nb17n2ziehFsB21BjQVQFuJwW350as9A233NNg7+malSbClsSKTHsLShOkzCpw59+txCrVJf/5b9lwycySG09hF7tJjw8HKmpUpFRInSC1QxQ47NwQ8eaX9Xlwt0cnTNOv2urxEEW2D4Qk9cYrZbTFmmOwyZ38gkw7u1Ta0laweSZV0oSPSGvIc6CL/LxrSsfPFAw/DvTnUgZQrAxGGFvxmMtpO/Z6+0bJlu0BXr2PM+koorpi87TdE9JJu9Irdb9lgIvCKah+GLMm8Iv3TL6EFKtCNVlSBJgFsAtwZz54EVzKfDC7qTB2JaDMEjllF0XaTnlNwp99oc4HP9PCCMf63hX2ptDeco3PXb7AKyehVDn/POxdqeRjDNQ5k69uZcs23dVaoxOJltYXV1ITJS5SaX70bQMOnHL54GcdorgAuUYQCInS2SCJTCuUQJ6DOtUV2EUgh78w+eiGHOjCAllmf01kUqUYMZHpaSNK2lsUQW8RG5SO4xrgN2OEi7DZ00QLRqHk1LkWzalJ2mICZ7ol0IFk3bRLs+HgeTIdWFnKHgqKVqwxhn4uRhdl0K/F4OWgsvRe5nFnzF7MxEu97zHHRGbgVmPyZGzPepXuPWM1eITrRRw4I/nsnU36fRfqajV75zXfpdVFFAmeiiQbew5/d5KnYPAS6EuSpTy3ROus3qMEdJkBXaKl1eJSOkRRQqsZ87ZXDvjS1+scOJ2ylR1QTSIEQ7vW2M+oU3CbAuwmB3XqlpAmf/IFJ3NSstS9ZW9Fxq6FDC0DPQO2HFvl82NXKc8uYSx7L1sJsn9/bNXTRtAfKCbmHEKjcGam6whTY3bKFokrST7UspxOhwKcxS8sJXGeA9TZiZeZ5hLjDGgq8kTks+8K9yQHd8bcojyYPXNOdGW7DVmSJVKmjknK5I4TE0SaWx9o8rXH6nY4uHQtwMfYOyvyUkJQCYZLS2VFqmWxx9+tTsqEXgV6+YTpNHuYOSnpViRWd+tCpmhJIiQqkWihiAKH114V8trrhxz/okugrQ5PK6GIcRgJkLq0bZUQuYGdpX5UfrYzRyWtFRfkwDdCFGRv7Dm1zQjjQC8yqjpP9hSzcoTAlvWK7POU4zmb/i9Llezf1VLkO0aHkUAnmv5IUY9dnAvP37pywgm/tHDG+44w0vkJkxTLxfNHsmMSpcLmZm32zsFMafnKQF9i7BzYGdCLstGqc1LV3ypPvyel5zFS2k4d6cXc9bDHb35kgsQ4hXMiFUJIuw+QKNLyVQYvOz5rs/d43uB5kZ0x4CqZYipyJZsDonVajCUKRyXX5NJ640I7xLHG8xJ+9ge77D3hcNdDEu2JFLL2C0RaMaQsqExJlqyhyXMvPF1ts8+bBpSZDhfpBaApRkmYMh6g8MlXNUGYyjEs9yNUMJj+maREvCLOZJ/EiPqXpmc3r6hrXrS5v7K8cFBK8yOSCNcV+diFrMFApRd/XnshC0Zes/IvC8bU6oKpcpFUkXrP7MAiFa/GqwNLAWVeUPUc4C5LFaeS0LG9lieWBL/50QnueaxpN+WRth0N6eJIQV2CL9Nm1rHm4tV3Uax6cmyEXKnmXaqxhunScStei9JFb1Yf14wMSnMAxbjUK//MwOxMjO8YHnzSY2VYtsNsmJlNES8qDjN5UIkkvoGrtXQhZJdLSXplEM3s0fKfLVul9g9WxyVXsr7ZFjl5mt7kdShxYtIL22d+fuEHnnr62b2OkuneKsrg+NaOM5DuPFD+5aL0FYoriDWDy3HtXRrlVZYmouyilLfFqEoTuYbmznYYWPOuyoFlWgqbPk+8hI9+boK/uaOJqSkQyqJTOAgpK/2WRX/j83TMl9lnrRQbq9/OEzxVIi9kClQCzer8wjTITOcHmpS5jdFFjYqQSK1IhIMcJrz9VUOePeTyvg85hH5cAFwIjHYJSLursvx6Yk1sgylAmUoGQ5rdTBOCqQFkg82MkbFsbu3BYkHIzr/Jmbm0wifZRxL5xVlxT0z1aJVBr0s1PBjbYS+VQRuNM9FI0i+aoOMEhC62mEvHiNl6CDO2YBUnrgxqqMqRsuauzP+WJbkyNoK3AvbM7xYpwEvau8LgMik5KWVwJ8hS7cltD/l85ItNRkk6BV9k1mCatRSmor3XTM2XgV65sMfkSgXsa7NftptB5j2vymhiVpXQGlnKbMqSsyKULcySaXGW1CTawXc1P/imPvc94XHbYzK11WSmEdHGIdA2zZ0XkYxbhylScyklBIpMmpRAnjU9lDR39mcy0AoJ0pgKSWSZyUyiyEx3PxdBpKBOdKmaMJ2OK6Qm1hqtNc7c1AAQaB0TR0G6T6MiDCVRIhGJjVi1GT9JpnpyeR6QZ6n5tZyTDOBle7AMblHs7KVW6XBd9cDH2VsmRYDpRAwC+LU/meDQSR/jFLslV7R3JpEqwB4DNGuAOT865Sh8HOVVkI9vIlDNaJaLr8p6fHVtipZpxaEss7hCJBohHGSouWBzxC/8UIf7ftqnN0q/TL57sCDBYZSd46y4WxcgNxLQKagNucOi0oDSSPIpU0ZkOtyUkjylnEH2ZyqkJ8jiXJFeT8UI6NXEkJURW2kCQQxRbAgjwygxeJ62XfU7zrMp6TAIWFnuMQxq9IcuGDdnDuyFVakLr1qE485JMTO6IlPG2LwyendNiaJLPnipLzFl85y5K65JaXfe1PN2nIg4gT/4VIvH9tSs5y0z5i6cE1dUZYkSVdYWZbCPMTcZ+4hi6OZafL2Kyceck6IBgqKYydhiplXVhsIyeB50amlBnki0SO9JKlW05updET/xnR1+568mCZOUxSGPChMUgc60eJprL4E8lyiilOUUdoNeU2ZzCUIXzJ1tgZPt2GcEq46pyYNLkSeByvZ8drzLlZfZzhRhDIMA+iPB8hBmahNM1NskcYIzu+27kE6b0cqDKP0xwriNEG1GoVOQEIUgypdeMc7ga0mSslQZd1CqgC4Ab8ZkSnV/xoK9k0KXl5M6lXsaWNYSvvqAz4c/1aIzdK0HmHrepE261jkpspZl/19VPvdq/Z2fgEpYJvLXYhzQY6y9Cu8VoBcgr7J2tt21yfV4IVWsjZhIhTTa1qvEinZN88PvHPDIMz633q+gEadMXSy7sZaMyGKKAuQGWxpLbltazzuNVa2MzSRM2llfli/Z6m0AaarWajmlL0y1bDZTS2XQV2IVrDzpjgQnu4Kz3Zj3fM+1vPlVV7Cw3MdZ6nt4fo2T5xS790RINUIlTUwiiRJrS2UgzwKAVdobVrHzeMBZJHNKejsbml6WJSVJUsiUYoddC/Ck6ndLawXKfF91G1hKGSOdmD1HHP7HzW0OLHq2DT71u+2jLNi7lLmtgHwteVKRJmPTmlarkapKWeUulFm8SKzkjRCslcYfGxKUFWIZnW8qKzKpIgxCOsjIsGM65sff1ePIGYf9JwXGKQssAdIlSUHOGMgzSlX5Ep763ZCyuMgDzaxgKmfxMeliObI6RyYfu53br0WwmdW4iNJxFGRb0gg2zEXMbejTHw25aEvE+mnH7m598KTLzJTkKw+2+M0/PJ+ZSZ+XX+pw3cUuvkuecCn2Q7TsXUnwZCzM2pKkLFeKnQDK/nd1EyOVypCCyUu6W+n09XgypwC6UglSxnh+zJmO4Nc+1OaztzcwrirS8ak0WYu9VekCXLOqUpRAPKYRy4xeWgIrgK+w9hjYs/dW16SUdXgG6HIAmnX+yLSoKXueBp+JJkbjSuuqdALJz/y24uyKAL9MtwKDkzN5IU/SCy17TFlbSTDa5MxqsroUURRb5UGmtG6JKTW4mLwepXRskxKjZ2DOR9AVY7eVsn93oiG55pKEm17k4DuCTRcmtGYS1rc1TrvmMNGsndk46X7lTS+efb1I+sy2PHpD+8U8l7QksQBznsmTY7KENZhblrX32iCv7pirK85JeetoVaoYVCJja5uplKlrYp/bWpMQzefvbfLVhxpprUlmCcqUwTP2LnYNLs8bLLslq8piyyeg9LNx5s7BP65FxuTK6tkhqUesiyq9cqWhTN2UTI8nQiBEmvhJnRUpJdqo9D2JMLbi0HcMr7tuxFtuGvAXX5KEsbBp2+zDSzC4xEYwSjuDjSjLlLImtyObTUqEJtfetiBLlqoSZfqz7NFiyMqSVbZrKRCV2T8gSJ2cYiiU60gaNcXiygQPPt1k84Zt+OsmvtKcbZ4Jogj1P97/+7ziFS9dadblSqtm/nkULDPRcvFc8v1tioREtQmhkkof74JXmbwYK38td+aU6krGS2FlxQo0FXCXmbvcEe+k4HacmERqPnd3nf/vjyY4fMZPmxiKhA7SQUiBL6Em7SB7Jx0Dl80WL5I5xWg4ax8W9cf5lFsBUkrybVVEdUi/ndQlxxJiFHNgxqo3Czt1LHs6trLYAE7kgdzq0mRTWVWEALRhup1wyYUxx88p9h9zbMInvxqLqzVzQIrxF+N/ZvxKHr/IM7GxatGq+v+i9MbYclexp0WR3pcy2zLSrmjdfkJr8nykM/n/HDx4+IErr3qp3aNn/VSI60I0lxB0SxOkytKkkqUcY2eqmbWKFs+Zftz3LmvwgrkLaZLKFFW4JrIkRTJwy1JAmVmCrptweEHy4c802XvQh5bKJYlN7FjtnUmTvM+ScY+etTvmS8FmfspFNaAct7aypFj2J9ZK9ljW1mMJn8JFkaWkWzl9LwVobXcdzrxxkTO7TLGo7dQrY73xKDDs2hHxg2/v8dBTHkfmS3SZB51WhsQIRsIGl6Qj3Iwu16EUujyvUamqHoTISmwLXV12VIwu6W9TTghWLim7cJi099MYO9EqMhgTMxyF1NtDhDcgDEubUF100U5cr07di+gtH6Y/1NY9kFUWKzYBzVikJD/yi6EceFYdk7JsqextXtoeOgO2yINLTeGmZIVTJVmSv5eyt0pY6gl+7y/a3PlYragSzDKWKbiVJN2huDwGuZBfSpRZcLUtuBbwxy3wb/RW7q6vVBWasnzJJIsFVC5TRAn8pUynFAYtDELb46yFsq+FspeR0CQDzauuCvhX7+nyn/5kkuVhBuxUe2iRgtwhliJ3UDKQoy2QyQCfkkX2GfM9r0xRlJclf2TmlowHmKvAb/JaFlk6sPY7CBJhffBYa7pDmFm3mcsuu4z+YJhdozAxuYHpdZfc2u2c/k0jHBJdqt5bQ0JktSCyVCdScT1K8qMAZpFuV2skbpSydp8s/Z1KV86q6sDseVxJ6Iyk4QOfafKhT7XoRanOypg7dU3s7L7COakUVWXAzdi8UgxUYuo1wVydc/2NIH28uz4HcvYzU13Kqwmfsf11zFibW1o3nrW3ZQM8tSn24Gw58CPv7PGjb+9R1zHoBEz2GIGOwcQYbYgNBBoCLYjSe2wEkcbOMjeCOJsXaNINorTN/Cem2Cpcp7Xb9u+U3h/zt6tZSpNvOZ7/PElrUdKDODHRYH5x+Tevu+aSW7du2VgAvN7ewu/+zvsGDzwxOnx2qU6ii1HE4/dK72NZI5feyxlXrdbZFSuw0lpWMHbZApQZoFWSypgskVNlbiljcDXPHnT5y1sbdKM0gCADduZ7SwSpNMnvptJNpEqAfq7sZS47xOr3Kf2dbwTpRbvamGVofamcmasXQakpOQe1rL7OR01k7ylM2t6mjcJoRRwpWo7he17X55KLAmQS56Cugj0pQG4g1BCl4I5TYMcpcGNT3vderAHuMuCL4UbJqp9V77G2bJ2k9zhNz5t0RPPW9TXWNXuHf+93/svgogs2FxIF4E1vejOeX+Ppx+/jyMFHUUpVtv3IA0ypK543jNmBFXuw7ItXEzqibAVWMpm60OOyGlhKUcpSjqXiHTfhyUMuP/EbUzy138e4spAlOYPLki1o8kE+4zs1rGUNriVTKomdUiBW+ITfoFwx1adVX3zcLrTFRdaJsMCVppAsWtgAVxtpl3tj0Eamf8ZOyBLaeuOJFbSI0HDlhRHv/5kVfuQ/C546kAYnMvswolhOUrlisGD1yvZh1tKWSpRsVTS5C1MyQ0rSxQg7R1ykcVBes1JO6WeKSZp8pcr8GSkAk7Bt+w5e/cqXMRyOgJ+uAnxqagrfr1Nv1HAdTc0D381m+plKcFjW2ON1KEKYMbBXbcIi0bM20HPWFqYSVIrM+1YFsGWa0HFcTc9I/vAzTR7f7ZOoEmuLot4ESrZgBdTlisaClcfnDq4aC1EBe8Hqz1N+sqY8qWC8lMXM+zQr75eZfaxm3Ni53Vqnro2wk2l1pscxaCHTfIW0elwbEjSOMFx9ScD/9bY+P/s7Lr1YgJuhShTNlAjQikQIwqyNTQubySlpb1WqQjTpXLZyEijT1CYFdNFnmWKoBPLyCpl16+tMsqQDQrXS+F6NmekZ+v4gP645wJVyUI53oN2sHZybqe3wnT6ea3Jwj4M6X6IrjQ42cCj+fNlVqTL1qvdSb1uUAk2VZSdT9pZp7YkUCUrEKJHguAkDDR/+bJObv9okyMA8xtwIa9HlBVXPwd5l73sVY4sC2NVkjigdj3Fk/13yZJy9S8CAig7XMNaiJUoBaApybf3wjNWFEYi0RkUYmToQxj7XadBpbD21Jwzveu2A3UcdPvyZFv0Ie8B0SrnZY9rAlmhZBJJpql6T7jOUHltbq2IKQAuxCuSiBPScSMokkh6RVUG+BJUYgkgzN9XA8+sH/Zp/IIyi1QBft34TR/d+7itbNrkfc5P6L/RXziGVkwO4bFSOn8fM+BqvPZFjAC8sxwzgJSmy6nVZgxcOihRJ4aA4Mb0QPnxLk//8oTbnll07B6SiubO7KLG3WZWtXDWzpbQ6ScbAXn49xtqVn4nnB3eG6nKhVf5e5WWxN3s20jqTJlmwKXTK2JTYPHdZrBbPyy1I2TtzWZAIHOLEsGEm5ud/qAMGPvL5Fr0oZYDUUcm3WUtvWkvC9McGOwfRlICs0qpDiR0BV76Is8a4gsELJ6WCs1IdVOUmbA4gjDTrN8wSi+bHPvE3d33lve9582qAAzTqAqm8L8xOjt5ak+FVcRwTJzIPdPKmh/HUcn61pSApAVuU2FqMsXjhfVeZuwruZBW4s/5KWTP8zRca/Poftzmz5IKn1mDvasbSLSepxNg+O5QAPc7cJVappONL31+Mv/k/eStnNAvwi/yNtVP3RbazAvQ02BSm8MSFyFib9DEDvWVxtEMUGjZOJfz8D3dZ7Eo+dksLaqQShDEmT0GOJMIGe15Ji5uUzTMGJwW9Tu3EfL8fQT4dq7JKZmAXpbiEQqZpLYi0ITI+54bO465f/8Iwqp6ACsDntv0zFvf+8D0TTfGwL0dX9QeSMHLTmdSCcuF99ksKjikznKGsxUUpiVOA29j3SxLF6u6kwuBrgVvKBOVrDpxw+PNbmpye96zfvQrYNg0rUs2dOSdOmpgY79QpN0LnYIaKLMkPfHomxguA1qaatcH8vD8vFV5lpLmqd7N0snPvOQN2psO13Q5ECtusXEiTIti0XfWZP66IQ8PG2YT3fPuA+57wOHjSAz/9YtqsCXKDTQhZxIuc5TOgZ+wtsTMSjU5lSh5Iiry4SorqAaoG2MU90oJ+JAiMi1wYPfwLH7j1nv23/HLlOMrxA7sSXsxKsIvTyw6OM8D3IjzHZgftvjbJqslR5RkmhcwoMpKrLMJyGWzF606KOpP0dRXcaVe8pzl4yuE/vn+S2x+p2QbKitdd9r6t552NgXDkaq291jCfyp/JO8DXkClkXeHFMlqVKVUppTUe5QAAMUBJREFUs5ZLkl0VlTkpZvxRlFbSwh4sTnr1Z+WiLIP1nI3ObMR01ETmlWtpt0kxdlqt1go9ErzmxSN+9Sc6XLA5hMhahZgktw3RmaWY5AFxbGBkYKRF6peTWoiiZPdl9qD17pPc/xZpJWRqLWZeemL/nTCBMBEEiWCUCPqxoJsk7NqhefNNm/n2GzetIgpn/I2OeDdSOeHTx5Z4yQWP20DTSdK6YuulJsLYwCU9QfaEZpmpUhZTrsHUFaky5pgIncqVMrgLqSJljHI1R845/NIfTnDzrQ1CkdYV5Ixd1d0Sy95Fnfca22+PNTVU/O0SOBkDboXR/y7iLv9wjL4zwAtWa3H7WCqZzV6X6sRJdbmpZDaLRgipLci1sAGnyDOhMs2KFlFsJllibag5Me/+tgGJhl/8gwmOnkudFVIGz/Rcic3ziykNIvMptNgNqmxmomh/1BV2Lx9HUQTXpkgeRanPnrWrNd2Q7/22dfzAd70hjJOY3/+PfwfAtdqAdhs/fdnOay/tdldeNSHmqfsxQhjiWBIlBmIbfJq00izLvVX972qdSeauFKn4KrDFmDzJrMFKGt5JODrv8rO/P8GnbmsQynTrNbHWvZyxLA2vT7X2mtKEsWCzhNxx/7sC6nHa/nvcxnFdrgtfnbbPGN/kABBj7J29J0paPLMPC5DLtM7bkpJOwZ01FMcxuE7C97xhiKPg535/kqPnPNI5zNWLUBusmW2zxRpBSJrckQKNKYHNXoQmlYyIdLcISvFPKcOrjU0mBYlgkAjCdFuWlkrYuWGSmYkX3TE1uf2nYWXVcV0lUa65pElrdGu31ZzYq5Sf+G5Eze/TqPVo1Ec4ygIv+2Ll4DIDdpaKLweQRbJm7UdV0d4ZuHWRqVQJp5YUP/8HE3zq1jXAvcoWtEVIrqx26azF3hmYVw86GsNuCdDjAWbBX9Ug6RtF93iAOe6LF28K9P+vve+Os+Oq7/2eMjN3btuqXfWyklbdcpNluQncAGNTbXh8EuCFGJKYEAeS8CB+SUycxzPOC80BYmJK4sCLwYBjGxKwHYwLNi5ywZLlVV3JkixrV9p225Rz3h9nzsyZuXdXxbJl83I+n907d9q9d+Z7fvP99XhfBV5NdwTSRfR1XUOzTV9c51DoallJaxTt0peCKZoiGIKAgofA5RfUcN1VY5je6ScUxfByJn+asqigsTDyenqCwJeAL5By7SdufLMWetpHgGh9LSQYb4QI/RrCoI5qIGFxO7St4sD3f3T3OCHtTZeWY5IhwkNXUStc8+R27+SNOyhKBWD96ga6izZqdUc9hiKrii4SpCWyaQo012sLCYn3Sa/T4KYZyc2YQGAR3HxnEbf9LA+PmYDmmVcD3KTZY5nl3WlenQC0VXkI0/7dil8nBdrJ0eK7SalKO3XMtDWZcuvHZkIA6W7JKgArZUkx7OKKmkSSMgrI0nbyMDoxUaVtQUKAI8QVF1cxsJPjc98qIQCSWm4ZhTP92yiCaOIJqNBbblAUGL9Pa5emEFEON9UfyAsk5nSP4E2nHEIxD2zY3oa82/3rAyPjV/V0lFp+fkuAL15xEb7+L18P/WCpvOl7FewYtJF3BXZfMoqPXCJRb9gRBVNAjh/hOtLQNP2RyZYTCU5S/DsEM5RKygTACe7+ZQ633p1Hg+oAdRPQhvRGQk2SvjoGoGECXZs1o9jsDGhN2yyQkeJIA1rv0BQmeyTgNnZM0RRkXPUwQa8ngVlqIgK3UPZuBWgdUpu2gIkU6GnS+AAyotUsmvBMdUODhEME3ntRFY9v5vjZw/koklC78GWyLPUyheYzAgRe1ENTyiTjRxCVMMG09zJy68eChkaCikm0hwL//fwAV77FQj4XYtuLFfhulwR5KTxr3buPHOAAcNKqt6JSrd86s32ov4z9hXyOoz7eg+d3hii4IezIqkKIiG+HNg+mXPIG146VzVTMSeSljCgMIYblhAsQDtz1YA6fvLENz+1wooThFsA2FUuivZVZxTLtyEmXg5DIejA1iE2LS5a3pFz3GVAfFtyZx3AzPSGJDRymYpmxiessGpmW9OZrGtAAtOMHyoxIoKU6VcomkRCCqScDAYiUkCGwss/H5/94DH/GgJ88mEekNaqhHwkkAjxhxrVS/hRfqEZvVqy5aa5L4lopcaEgohJQbAbYXGJmB0WR9+CpAYmC62PGjPbKolPPv5Vxd9JrzCbbcPM/fB5vuujCDYvmlH93bHh325weGz0dNizOIhc+DDOfYRJkmWApw5nTFDxFZQxuEoNcSXDGBIgF3PGAi09/pYxNO3MK3JqaUCPWJObgFIQqyW2TpCuxbh7FU5lIhlTPZNOkM2xIknlDVDZJQm80+M3XpH+7jgfR6+Jlc6LR7MQzM3lgnMd8yiRVoZqePNrBpidpVqfIKM3xdpJ4NeLlFk8wCKCnK8Tq/gC791MM7OCJ+WPyqZyZ2MrKkogQLVSS66j1JYsBDpco5IDuNgoKBzXPRrXO0Nm75sVDw5X3T5+51p/skyeV4ACw9vQVmJgYx6H9myDDOgqu0utUi+kkMizldteJCyyhHTEvT3FtU6Knwa1oCXDHgy7+/CtlbNzupMGdiTFR1ERdHCumJs3Fe3QWTjYFrMn93kIymzfcfNUbm+7vUfBwKTPvDQuJ3p7EpSipHj8zU9JcJhYV0kqa6yhD0cTNEUUfInIGCYObK46SRMnAA1Yu8PHZj45BSuDHWUneNPRTPtkpFCrDJwSi+ogyFv66H5D5lKREdTEeqwTwAoJqo4iz2vtRKpWnvLZ0qo0dnTMbbSXy+2tPmVYpFQRcR8DmkcQm6dBYs5QaZUJJYSNYSpdQS6wlZlRg4q0kVHHun/zSxadvLGPjDrs1uJFRLGk21kQnMBgxJ0jz6iZKklIYW0hAE+xIJz7oGZB+e3iImwkPQCb4KuO210UplVJGmukKSGQjb+bbcdk305QoMtaVTB/OuA+QpJCSxV3dhGAIPYJVC3x87mNjeMvZVWVNEaKFRSVI3seOIRXELYREIMwkCuUQ0lYW06ISSsAPgLonMDYRwGfTKpU6fn/mjN7GMQOcyGExY+bcx+YsXD/mBRYcWyJnh7DjMNqoVENcRUqXLlZmPZ0cTFs6bbS9OyqOGUluyQn+/ZEc/uxLZWzaHtUxaemCT4ObksShY5oDm+O8swm8ibKZjYWI653EYCcpKa+hHAM+S8Y10jPrTMtfegOJN2ZDadNKpwFuczIIpLi50Appk43cMB+aCRHaVJiqs8JSINeZQSJkEB6wYr6Pv/2jMbx5XR0sNEAujMQJ/T4GvR9PCBmBvC6BmiBoCOWC1wkUyotJ4AdAw5doeALlkoN3X/aGsQXz5z+258URccwAd9xeOLn2Ic8Xl5980jK/kKsj7wZw7AA2D2DzEJaVboedJAKLTI3AJNRVu95J9EdpCMIEJCP4z8cdfOLzZTw3aEfBU1R9TZJVLjXnSDJ0zDjvdE/LZgDHjh00S/I0yJvXxdjN7GeuP9ohM3/xemNlk4MThs0baVd+yh6OtNSWTXFF2XorGuiJBDdBLgWLpDuD8AiWz/PxhY+P4g1r6mBZSS7CtN08dvX7hoQXCIVEQyiQ1wXQCAm8gKARAg0fqHkE1QZwaNzHwsXL/VAEl3d3lofmzu6Z8rpOCfBC3sLI8C7MmT13T3//wu0zeiwUcnW4jg/HDmBZqv6IxVXXBM6jUmksVK2xWQAzhiRJFM5IdSYhGcHdjzr42N+2YWDQRlxmqslKwg2KooJEUtQE2ewc03vZSnpPRlmay661BLQJ/OwMSHY5LLhbue9jjyWyfFuHzxr1tbWzJyW1o4L50QSIQY9sLIt29mi6QjMUJi3JY8ALBhFSSI+gf66Pv//TUVxwhinJ9Z8ZxxJJcBkCwjf+QgghUBcS1ZCgIoBqSFAPCGoBQc0jGK0ICF5C38L+7XPnzN3z/JZBEDKlGjk1wAGAUorGyM8GC7nxD8+ZtwDlfAWFvAfH9uHwADb3YVk+LK7/PHDuxx0VuC6hpmt0mwFURIDZEoIT3PtYDn/8d20Y2G1DtuTcGSlO0+BmpHU9b5IFNNLrUqXnMhhtqWxmJHkavDK1n9o+Obxl00L01hDjJgVJPkEmwBfIKKOG1DYmRrZwZwJympLmZhCWjL2bGuws4eYx4FUSs2wQ9M/x8cVPjOKNZ9RBw7BFgFaQ/Ak/oio+IDwgbER/PrxQoBIA4yFBJSSo+gRjHsFL4wKLly7D/rHww9/4wSODjB0WvlNbUQCgrXMOfH8CnBf21QPrgfr+DecWyRhyDouLW1rcV1WlItCSKLAq8UppG3m0TceeWMCuQxwPP2nj2ptKGBi0Ie0pbNxaatMkkCqmJkBTds6kNAWJ97UZ8Gjm2Zp/x4poRsFEenI0BezjyKR4LMmjE6W8lsT0cCY2cRCDkxMddJXsnzh19FNBJi58qrk7iSwZqsNEEgKgwm4lpVGNSgHCEqsL1CoAkfDwBZbO8/HlT4zir24q4VdPOdg1DMDWzqDo4kiCuPysvjqackpVGDWUFmqSQ0gKnxBwFmDB7CLOP7v/gXe/+ex9Y5Ua2or5lw9wALCsIh569KGtjHd++VBt7ble7R7MmxGCcw9Ftw4n54GyQH1pAkBICF+ZgpKbG5mcoqAs6gADL3Dc8M0S7nwwhwOjfGpwm2bBSKFj0MCWRsmHdNljM7hKg/JIrCdN0j5yiqRZCElZWZrEenZ9K2BLY7NM7nmWbyPzPq1sZgrnE0TWlET5FJAgLJkcOoaFxFKfRvurqFEVuR2VEBfqgam9pPFF0AJUu+olQBsCS+b6uPGTo7jzlznccHMJW16wIpAT9WV0Ex/9iwQAn0QRiiSmotJx0Mg5kJRhZsHHle9cjbUr3C9veu6hrSuWn3Mk0D0ygANAV2c/CG9/rM1u3M5q+95hsSfQXqpg4IUAz+xkALUBqBoWbfkQa1d4mNYuILzMXYrAvXWPhb/+hxJ+cLeLekgB53DgNusKKnCn2myTFtGCaLaSTLYuHf6aADVe3cIHn1AXgsOK6KMYTaBu8kymJ0JsTjSALSK7ciLZ9XoYkYcqZoUgOb+QKoEtmQSRZDcoTBwiC6RBru9vINDbGeK3L6nBsYDPfKWEbXu4KvIZgzyyGHnAtI4AZ6zw0JYXCEMZ3QyKp3fmsXlXG3zbxalLF2PVolW3z56z/DG/OnbE1/KIAb500TQ0KrsG7Xlrr96z+RfspYPsspv/neGuX7Vjx65cZM0IIYIAuVyAVf11XH1FBevPaIAGKlYZRFn3tu3huPZrRfzgHhd10ChhYaq/NLi1SVAplEZsCTXoCDJ0Q7/SDHDN7RGQUzEoWQnfgqsjc54jRrtstavi2KnYk0mkerLdkNbawWNSkJjKALolCtGSX6oW24glOonOpwp5EtCoHz1NJHkcUxI5l6CecFKqrH0ICVmXcCyByy+sARK49mtFbN9rATz69iHAQmD9GXX80RUVrFzsw3UAGbCIpkhs2V3FXQ9P4GdPzkV7Z/nOdWesvXrzwJ5dy5bMPv4ABwCnMBc/f+i+XTnn3Gdv/l7lsn+9dwcqoghKooCcMADCGjDawI49HLv2crzn4iquvLSG7g4BwoCd+xj+6qsl3Ha3iwYiX3pcVX4SgBuIowTpFttIS28zxzJ2QmXBSZIAsVQZ6KyVhGSWkWzMWlfSSD+aq5pw7yYebrymHEIGNTG3mxQl5Q3V0loAhCXHxjTFmAyanoAKsCh5gkRgB6UxHSH6eEFVrRKiakhQAUgaxUAGEi4XeM/FNYAAf3FjEYP7GMCA7g6JKy+r4j0X13DKIg8iYPADB0HgIAg4pCQ4bXGIpbNr+MBlLtzuFc8ObL9v17Ilbzyqa3tUAAeAiWA+Zs6e+Tmna29f93T53vzYCFyLwAsJRj2Gmi+V9kxDPL3VxvbtDJu3clz3BxPYM8Tw1e/l8f27XXjEQONU1ITq6HrFfxkSh45pNUniOJrzLLNUhKBF3Le5bIA8JZEz0juraJoYP9oRAzslsTXKDXATw4SoebguqmNQD0iZ9I8HjELyiJIkCFhcd4XEXF2VZDbpigI3jTq5SZK4/GkkyUWWrkQ/hkoBEUg4XOC9FylJ/pXvudg7xHDdVRN45wU1FIlA6FF4vo2Gl0O1nketnkMQMnDuo1SaicXTl9/q9q7+HDB41NeVHe0B//fbX0T3ivMaCxbN/smBndvXF0llbpcr4HKgERBVS0PbOaVAIwD27Gbo7BL4i5uKeHCDDT+OHErX6m7yUlLTPIhUCKyuKRgHUJngjjPmZTqISu+jY1KygU40HdSUBF+RJPhJB19Fy2awle7PQ4nenxjrku2tbPDZsscEsSU08z59fPJwI80T2dwnsy6epJknG9Gz3JzRGSGQjV1IU8F0DR09QRkIli8Osf4UHzWf4ENXVNFhA4joqxAWwtDBRKWIAyMlHBzLo+7lQK3OBzt7114xcejpCbd8dNLbnHNHNa798EVY3UOqf/nRt3prV3Ri4UyGBb0UHfkAJVYDfB+q5CdQsCTe+7Ya3npuA32zwklMFybINUlOPJjEALdJTczaJambjhZgQYubPclNb3WP9Y1PVqfZtgZv05hEnJsZ8mpF633ME6XLSWRc9pmYlFbrJvVeGjEq8T6ZuBbTNq7rICbeTRVFnrKdS+Xt1NxeK8fb9jD8+AEHt/6bi4pPQC2AcwHb9hEKD2NVgu17Cnhuh4tdB2ah2Ps+b3isq9o+8z3HAtWjpyh6nLRiIaQUj9YnTl+34/kHXYIaLnaGsH/kEO6638LAIENXMcSl6+u45soKutoFPvuHE/idIYqnn3eSMgQ61tIEeqxQpnl3ippQ03qCuLuEGd/d7H43uHcW5FO8tuTiBBlp1xrPZNItGTADzaY+c53JtY1TSZOmaM+npidIvJtERoSnhWUlKTcRWfukrjMOUEmjYMKIh2jaouqxRdGIiQIqZFRBSweEEZWzSy2JjQMc1/x9CQPbOf7qpiIaIcHb1tfRVQixeSfFHb+wMHjAhhVK5G2GyxafXGvrWPgoocckh18ewEulErxG9Zpzzl4n53dt+PjEob25uTPqKJWreMe5Ib77szxOW+bjkjPrcCwJ6QP983xccUEDT2+xFTE0OThaeCtB4gZHpuMmbned5d16yhBjfhjrs2GxJu5i13z2sYsWLvvsxWipZB45E5cA4qc5abURKW6ugK2BnP4ipk08q6SmQB0pg7Gjh0JVytLnRmIlASL3PRXxNhK7/xPFE1G9FdVLVigJjlBxf0Hw/Xty2DJoARbBwQmKa75SwoMbLJy2zMd3/6OAgV0dsNwyZpc9rDttVv3UNWd+EZT9z0KxcKwwPTaKooft5AWv33ptb2/phnJ7j+f56iqOVCj2HGDobhPIOSL2yBaYwNvfWMPpy3yV1hGLRm0tYSlwx9QEhqeSpj2UpOWfjJ8NpjVlshiUJrBnwTuZAkqadlHvW4YKToHupg81QNkUDGAAMAZ1lo6Y6zNJx0j2Sdz6morQ1DoR0xcjvFZMTlfipGUdsBWdi3Dgsecs3PFzF9UgagTGOBp1jqERilndIToKAiGhIAyYPXeW19bdfcON37n72mKxMGW04OHGMUtwPYYPFT3C515fLAfei/te+Ouv/9ijtz9QwJMDFG9a2wBCiiDkEUACzO8NccFpHh5/1jWkt2lFiZKGkeHdutuE5t/Q0joN3KaKsGgBZhOYU3HySSV+C+JBmoF+LObCVnMjRUtaURSS0BS1kiiqQJLSE7HTJyOdU4CPSjJLKMsIjRo+RemakUUFUHwEkYkQsQmRRDNM1TtUNEmVmg1x7xM2du5XwFbGAwLQALN6BH7nLXWs7gO++58S9zxVErNm9/71iv55n9/70oj3cvH5sgE+fdEHsfP5W2vd7f23b3+u+Jkv/fBxHJzIgeUbsKyD8L0cag0HjIYAaYATH66tI4QiORuVWIvrmSAN7qQKrAK3aRKMJTUQ27zNAjKJm30SaZ9ZDyTrTSuCfqIAaCn1s8tHie3UyAJan0yDOOHSBCAyw9EVqHUPm1jpJAaoCZqpCImckVEJW0qS7dAOIpApQU4if32cmytpPGHrHkUgIo83dwDCAdlA3atgbLyIJbNtXHUpwZpTVsmD9YW3W7RSu+7qdx/ZBZtivGyAA0DIF6LQU97CCr1XvevNxa/dec8T1GIElYkuvDikOFjOqYExAZAAYRxzYCqVCtw6YVinncWueJqAuykVrQX1iOt8YxKJrIFIEp6t3yO1LbMu9ctJ0zHmTsTcnpG6MWjjlYj5cnZb1qOZ5dYkMnArG7UJ4ATwqRJw0ngfAx/a05/wdCQTR4CCQkZ0ezKQG9dNKOePpJEuRQFCGQAbhLsocAYnx+FaIfYNebAYRdu0deINM5de9fS+FVtmlvYcD2geH4AvXHg6fv7YVu+yC878RnVka15OtH1h0+YD2LtvFrZ0NTCjaxyUCORsD4zT6P41O3coUfElSnIrcMdtC5GAm0RWEy2tJyuY2ZTIADRJ8BQgTZqRAW0i1dOSPnUCtDjwCIecYj1JSXGYiT/pdS2iC2ECHhrsJHWM+RpXc43d+qb/RqE9keQEEiJxNMXXRSubKr1NmxsVLeHIcYYeV2J2O8Wc9i7s3leB5J0Ihst/8pZLzvvGeW0bQ7e8+nhA8/gAHADeuGYRhob2hu+87LJt3HliHP69JcgGJqoWGmXVOVfzuUBGzhyavFJCYFMgpyW3BraW1EhAlm4420JxTAG7RTqahmILsE8VEqu2p6V2K6bSesXkQ8rkfCmgx57LJHQ25Y40jzWAT/SxMqo7om3RMD2XMh1TAtPLqWIJBUjculCdUkJCcW1JoXrOSwDaGmO2QdM0hTBAUFhURGERBBYF8lyilJPwfYKRag9OX7t+vNC9Ztv+l/aF03tXHi9YvjwrSnY4uTz27q3c+cazT/vob11+4cGZ04twLE/lbFIB2wqw/UWKnz7uRoXqVUNWSigcCrgUcKI6GBaVqaI9WVd8GrSyCWhNHBuT0BXSnGeZFcytFc1mSd9K8k85ZOv3saMGaWdP2gJiWkIi6ZqxpMTufPO4mFeb1hNjOV6HlKMn6wSSRh5nGFKEIUMYMgQhj5KTuVonOEKP46LTPPTNaABBiCCqFFuphZA0j1l9Fx6cOe/Mj+Z5407XdXE8x3GT4ABQKrYDACoT47esO/MsPqc3+Fzt4I+nFewhFHINVOs+fnCfiye3FQHbAZgNShlcqroN2yxd7iEBVVKnI+WRNKkJMaRvRnoDzQBuKZ1hmAHNz8/w8uwwgX00kjxr9k5JX3KYAzSfyNjJTadPEmUY9Y03+XjqmDRVibl4xFW02TH+GjLSL7Rwie6DjmHRqXRaitfqDlb31fCON4xj8LY8Ko0chinBjJ4OnHXO+gOnnHbm/6g3/Fva2qYfTzgCOM4A16NQLCHwR77V17+Oju177n97ozumBaKGr92Rwxe/1w1B8oCVA6McLgNcKlVTVpopq9bi3K0kbVZ5pJl1caVY43gSobKVCZFk0NpSUsc3GNkNL8+akgIxmhRPvX4y/py8NxRO07pCEFNFljmXAjNJuDgU/0mHDESOH70YK9LackJgWl/0oFTiE1fUEcohfPmHDuqNEpauXH7g4vPP+vRE1f/WtK6p65sc63hFAA4A3GpHZf83v2HZhXB/bc7ffeuubZ1f+7dpGPMKII4FRhhyDCgwCSfuFZ84cMycxGxhnKwVBATNfDqbN5alLISkJgFaTJrkA6dIUUP6OLV89EpnKlJQrwMOqwyq/bS9myhbdArc2hSYvCfRBY0lthFhSEnawkIy3zFuYxP9Nv0d4ycslZA0jB1E6kcpx5DrMPzJFQ1Qth+/3jn/YLmt8Mnr/+neb3/u6re/UjB85QAOAIXeD2Hf3s3fYZ1rPvXciz/u9MULKBUsFapJgDyTyDEJh0nlyGGJtDXjKHT295GMmGIgQ2UwuTUFGaBP5eDJ8vPUNgkcNbYnOcZUPONdMyZErSxqWmOa/bTiGU+a2PSX0BchI4kuSbJ/bLZRX0bHnBOkvapmHXIpkvWUSghKwJiI95eSIAg56l4OnHr4g3fOH7/nmWkfG60c/Nerr/zd44q57HhFAQ4AndOWBG4j+N0l8zcvsCT7xw0bB3MHGjYsqsCd4xI2k7BY1JjIuMG65UVW4WrFnfVrK3A2O3hI+jiD36TyLifj1al1abE+mft+spEKGZFoniT6d0dBSxrYxHj+x1LUfPIZNAUgKWBrXk60gmo4i/RkMOMNIpgazIlE94cgDEnsnlfXMmr3zsNonSrZxzkwfCiHXGllfVpbz5W/dWHhBw3PE1e/MrCLx1HHgx/t+JvrPoPStOW7a0Fp48l9bNOZK8O3NcI9fHCfi3ZHImdJ5CxVYNHmqtaPpev6gKQkuK5wl5K0JF2wUis8qUKa5itJ4rfNwpXJ8SRzXmJEH5I4bhvxOaL9KTGOJVHEQWad8doqHmZKL2tmWSvc5nUA0p+jwZkyfU5y3lbFj5pCH6iMn2FSEoQhRRAy+CGDF6jlUFAD8Orz8q6PezcEGBw+qV4uz/vt/tVdP9q9Kwh7Fv7OKw2/42smnGxc8/H34dI1E2EHe/8PLzi78IGzT5pdLVkhbCbhcMC1JFwbyDtA3iFwbcC1VE1oQhSwQxnVkpFxhw11A83l7A01b1h840izpI33NSqdZn8ESa9vekKg1UHJvtkxGeVqVZItvYP6R5LFFDdO2bRlIm3TseNp82BiDpzM4SSTiM2oKrB+WgQBRb3BUatbqNY4qnWOWkP9NXyOhscwUbFBnKXVfdXuD6w7+4M//M6tIpy//P2vPPDwKkhwPb59y2247rp2rDjljE3vfhfZQUEuHDo4nivYAgWXwLUJHIvAtgDHUuWGvQCoNCjqgapXJ6KbATRLn6ykZpNJb9osQROXP2khSZszeNLLSZe1WDqntpnSfLLPaCHFDQsPjO8LfQ40nyOZuJnQ3+gepM5rHA8gqbwL8wkoI8oBo9V60lxMSIZqw8LYhIVag8ELCIKQIgiVFKdEwLZCCN43Wir3/977/1vh1hv+8WFc9aEPvFqwO0a/8ssYf3fjP2Gv14Uc8z9Avcrndwxs7KpXR+HYHJQCnBJwrr7WSCXAM3skXhxjYJSout9RK0Arii6MowypkQQRrUvV+o7oRlOqV4s63LHHNENBWk2SVC3wOOUtWy88OXd2gqXS5ppolUytZ3EHDSMP1VhW59XHJB2c41e9rzbHZlo96jrvPK75HrV3NNtG6iKrVGB41MGmHZ0YGctDgoBzCYuqJsCc+pjWXUR//4Lhtjb+iVJR/PMzmyycfs5vv6p4e8WVzOz4k499EAAwNDzyzxbn/BcP9Fz/yMP3Txs+OIowMiXlXYZygaJ/XgWLBg/hpjvLOFQvomiTSAJJMElAIVOPVCWVZEvpSKeSnDCUS8CgOUc+/1O29Mz6KYdh6YgVzEkcPS0dQYYH39wPMd3QYbQ6GUJxPkFlOoQ2srCoQ9WX0ALAbC5msQBuroF60MBtD5bx683A4pkCxQJD0SXIOwR1L4TttGP1gnMPzO4/41NhGP6znW9/tSCWGq8KB281urvaYdv0mxddcO6nr3jXGw7kiwU0vABujqG7nWHu9BCLZktc+aYJrF8+DBp6qEeduoRWOGXijjbx0ERfslK7xaMdSGGmaalVYkKiyKVPoCfMkTwfW7rjjY8zHSaxDTp7XhPc8TUxivuIpE54aHDwbI6mPib5ULMtTVQqm4ewrAYe3ixw83+UsWUvxZ6XGjg4GqBSkwB8tJVtzOs/98DiZWd/OhD8m+4JAjdwAiS4OVw3DynHvrF81anBefvwhUcfebijaE+gsxyiq82DbfnIOUChFICQEELKqCtuugNCDCwNYmQBnbaMNEtws+7gkfE2knlDWm854iFbSO2sLfywD4OmoC0Szx4hVC9KQPWs1LNId1XQyjuNjZHG58bXK+p/ConxCYJKgyHPgIPjEpz5sDhB39xpOPPMNYecztP+bGg0+Kc504vHByzHOE4owNXFK6NS9W45Z92ag/WJ4YU97eENYwd+abUV62gv1fDMNoHHNhYRCAsOUZ42oFnyKbCm6UnMu1NKpto/iRcnaRqRRe6kXzx5IZMcSlpvib8/abUutaFV3uVhr6gCqDTfqwhMBfIksYEgym8ggFkaLqY90JRPzQIJ1VqbgGHtsjpOWTyBZwbyGHYEIAOcfdbpfldv7pPzFq7ZZjnujwmxjztejnaccIADQCFvi30vbL3z4gsvsatjz1Wrvd5XReWXxOJj9CePO9g21ImcYyHPZKqhl/koN6V23GiqyYLSbKXQg5AWMIySCKZgBE0jtqgcbn+NQZKAKe1sSbvKW0l4dXKZPW0ck2ICVWg3vv6OFCBROT2dgELimBXzoiYOHiEJ/MBCpQbM6hR465oxPLqxBI+0i7PPWSUXLuz/w3WnL/n2wLYXvZUrlrzywDmC8ZoAOADMmL0I4wef9dzurlvyzoL7qiP7rvjXB6y/+dGDFbTncijaEkIAXqh4pOrFDkia3LSmbmWRVUN7SM3COfoYc2TBAWJK1DTCiLlANB8nyTaCpgkUf46mEgYITUUxtkcfRulMxdJkd5G6uROi+BT1HWWYPMV0uSuthAuiqskmTpp0E19IAi/gqDVsuJ6NN506BmI52PLigr9c3Nf3/Wm9vbuf2rzPO+eM5ScaTvF4zQAcAEqdKwGgtumpmwaWrbau33vXGfb61cPX7Nm1i1VqHsY9irEqRRAS5LmqboXIbR1L8NhUSJJ2gbTZiqKOzFocWtEEmcRqxDtEx+snAWCcm8Tr1T6kJUiNYL34fZw6dhhKkrJxG7oEiCYkaUmsY8UJidzyOlOeat9w8r2lMBXN6InIQtg8gBAEY5Ucxis2QB309q4O33dxx/+a85bV15+0ZHt48oojK2n8ao5XzdFzNOMr/3AXwtLvy89+8n333X3ndxzHwhnVyghfOqeOhXMPYMMOlbSqQ2wtBhXPwpWbnzMCxlT/KsaUJGdRZQpm0hTSDDC9bGIsXZqthe2bGsuxOz8BeAqEaJ5ogAnQtBUoqxybxfxjuzhJzKN6pLPnTX1FVzrX5kDjyaPt6EzZwi0ewuKqH1POqeG2XxAM7utGe1svps8+uzG7/91/O23W+r8Y+fX5cv15r45n8mjHa0qCm+Nv/vRdGBsbw2glvObtl55PT1rRt+6lnXfQnfsr6275aZ3XwJFnBHlpSG6qwM2ZwcOzjhUtqaBvvEwyXww6a7Zfj8FvIj+jmSrvYrP0TnH7FlYSMzowlX1Dmt3myUcbjWBJ4tTRO+nkX1WzJB2kph1IkpCol73WZygIEWA0aust1aRhTMDiHqSs40BlZjA6MvPhy972VjF7zryHOQ+uqVQmUCicWEvJVOPYbFonYHzqhu/CsXhpdKL29acG9r7niedfooHnY2aRoNOVKOZUPIvNCThXFCVt/yZGxSv1s6WUKmIxlAhCVbxfGo/mmMOz6HzRk4AxEr1P1ifSm6TNk9FVTl4TaWnSjLTukExY9XkyfuWR2zxeRxMPpfpNqsdkEFD4IRCGJA1wKo3P0k+C6NxMwLEE3FyAYt5DOV9HwR1DqUjgk4Wi1Lngezm38JEw9Met9o+caEgc0XjdABwAfr1pK9qLbveGzS9cffOdT6x8abjyji3PbUVfF0N3WcWz2JzEtKQ5Yo7E7bkJlOQKAqn6L/oCQZhwYA00TkkMcKaXmV4mBsCRgJy0kN5IJlbyPnk1leRWAOcxCPVrFJbKIsBTGZu9g5Cg4VHUPQo/UJJcg5vRZkqjJrE6h21L5HMB2gtVdLcfRHfvPOTc0u0yd+Gzki/+EuTEUKlj8YmGwhGP1xXA9Xj82R3obs/Pu/vRbV986pkt7xjc/CxIMI5insO2aMyDY9NbdFxCYSgoVfbiekNibCJEtSEQhMrFQSMllcc8PlqmNOL2EbgNgDNTihsSvNWQsUhNW3VagjvKdNI6BWcSnCuAcyZhcRnFicjYkeP7FNU6x6FxilqDGL9dxufSE1wr0Jp7UyLgcA+zZjhYsmQeOnsW326XTvpjEYwPMue1Yfo7mvG6BDgAbNszDMuyFm3ctO0k6VWvHtwxcN7AwADGxsdhcQ4aeXL8QCAIFKAsTmDbFLZFYdsUnBIAPl44UMe2PSpTnEdSUimsJFZaOQc4oxHIiAFyGktzSs064Onvm3RoSBxV2RugA7OU1NagNIGtQoiVAqiAbnEJm6vO0xYX4ExASmDLbguDLzqApGAUcGwCxwYcS8KO2oh4AYEfqG9AiYQQAfKFIhYsWIQlS/ruby9bXyp39T0jw2ArtY9/QvCrMV6zSubhxsJZXQCwVUq5FcCz998fzli1culN27YNLHr66V8z3w/RVmQ4NC4xXg1hMRWlyBhBzmYo5AmKLtA3owFncBT3bSrDpRZKOYGcJWOpxmjSUzIxjgM6PDbh6pFZ0pDgQOvYbtNiI4z4bqX8JtolIVkLiF5P4uhAHnPnEDk7QMH1wa0K7viVjU0DHVjQy5HPMUiw6LcjnhgTIxRDIxLlPMA5w8LFp4SLFvVvbXj+781deNY+AAOTPYVeL+N1C3A9ohswMDR0cECI8E2lYm7WyatPve3xxx4o5+iOwi82jGP/wRw6yxIWV1Qi5xCU8xJd7QGmd3t484wx3LeJ4MlNXbFyqkNuhdRSVzs/DGsJgaF4KipjhgPEyRlGfVQjjglCl1CLEEy1YynSH4TQjpdmoCcTUElv2wqRc3x0lqt4fEsVP3nMhS2AkhOgsyzBGEXOJmBUwnVCdLd5ODBex0vjnVi0qK9y7jnnjNUb/uVzZs/dwxgdfL0DW4/XPcD16O7uhJRycNq07t3DB6srpnf5Z45UTv3HwcqWYLiyvbM2frBUyCkLgmMJFF2JtoKPguvBshtwuY+qr3qkO6GEFSqa0irLxQzBpZSARpRFmye1EBYCKjSVGMCGxreMIv1kBHSpnghS+dEJIaoHTiYkoTk0QXNxVVgp53jwwwCjNQIXBONVAccWsC0fBdeCxSXaywLd0zrG37507sHz/FW8Uit8uG/B/EcoL4wCEL8p4AZ+gwAOxNJciMbgIdLZ+9P67tH+P7/+u40NP7nxT+/5xa/e/9K+nf60cri0qxzkXGcMOdtDqVDFvz/G8OBGF4SpUAA/RNp+DB3IZbjqI5MjpSTm6FbEl0kkdYMA8CUQIgEqISomREJJ8CBUOoKUyp7NWOR1hOL2Ok0vG0crje9BqQBnITgTCAVw1kofbzx5Av/xUBETZQG3KtDRloft5OudXbnN8xfOsuYsWHPLjsff8386F33Hsdze+nM7xsTK/teuPftYx28UwPWgzjxAEYPqs8/thGXxGzhjN6w/axXr6ih+1WK1/uro9nPybCeTZAi7hnKoNSxwJjHuEbg8aptnxHAQmu70YDaX4hSwOeDYypvKqEQYEtQkgR800wtKSRzQHoQSDS9EKNR6ixPAiryukqWO1dw9BfpIils8hOt4aHgEhNhY2BMi7wL5QhuWLesJVy3ve3BaZ3FAhJWrKK2GjLvoO+NHstC2oHqi79crOX4jAW6OlcvmA4nACyoTox9h3OmoV1d/dmzfnfbwwYlw/9i0Uy89o3haIfcC7t84hkPjeZQdZWdkhMQ28KgVpFF2IbJ0cMC2JHK2RN4RsC1VE+TQGMNYhcD31Vcg1HAQMRUPcmhMYnRCxYRYnCLnKP7DKIFgEpKbjqMoaUGokg1BSBAG6rswWsHuA+MY2Dsfa5dPx4XrJp54dBvfsHz+EnblBy/wZk7v/vNarXGoo7P9RN+SV3X85pCtYxy3/ug+ADiPyuDiU/tfuvyR58eWPPgkw+DAFhScAIFfB2SI9hKHZXH4gVIGXYfBdRkKOYaCC+RzAuWCQLkQoKutDtuq486H2nBohEe2dArbIrA5hW0hNvkdHB/HXY9I5BhDVwko5wmKrjp33mHIuxTFPJB3VHVWlTUToKMcwrEo8q6N7g6BOfNm4+lBC9v3zXz+krVttxWL+JkQuH9W3/kn+hKf0PEbL8EPN977zjcAwP3SH74fIA/MXdRYuGjBiPj7r+8TfXM7F5TaOj71wgt70D8nDxruws9/dRCex9FWpHBsF5zRxAvIQ3SU6+hoO4R/e0Ti/qfzmF6WaCtQOLYEowzMARwbcG2JtlKIVYsbGAsruOuhDoAw2FzAsQm4D3gMcAXA4CNnhWj4HvaMdmHloj4smDmBGTOm48DQ+PU0HNpR7rmILi9105NXW9sk8NMZszpP9KV9TYz/7wGuB7G6AOCn+v3TA3uQyzntOwb3Psy5hUXz8v782bM+3juPX1RvUFhMYMeWZ1HMVcC5co87OR/d7Yewbf8Y/uWnPejgEox4GK8QTNQI2kILHSWGYk5J44kq0N3GccU5NTy2WWBoeAYWzLDQVmIIhWoY3dbegTPPXI1CjsALA+R3kbs7bPmFGTPHrXmLFmLxSTPuB7wRQhae6Ev4mhz/BfBJxur+WQAwAuAOAJgY3wFCsNlpY71hQEUY+hjevxMOq4OAwA8pgsD3e2affu29A9VLzzo55/fP4Oif5+G5QYYDoxI9bRZOXgz0dNZw4JCDjbs4pAP0Th/Bpz4UWvc+M/euoS0brs27eataFxAihOsWMH/BMji2hVAKWuqh+wnBjkVzZ53oS/S6GP8F8CMcxdICANgR/bUcIy/eBcbIR3wx0jZ3BpFzZnH0zatjqMpQJxLtbRa6uwS6uyzUwjwkt8BzFJaTw4pFPjko5o7SVXP2f/Bt61Pn/b0/+NiJ/vmv2/H/AFn/QBOwY5T1AAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDIwOjE1OjIxKzAwOjAwYXv5eQAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QyMDoxNToyMSswMDowMBAmQcUAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 210462000
{'hecke_orbit_code': 45035996307262128, 'n': 1, 'trace_an': 1}
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id: 210462001
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