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{'Nk2': 7440, 'analytic_conductor': 14.85217477595815, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, 1], [31, -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': [1860, 1, [931, 1241, 1117, 1801], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 404, 'field_disc_factorization': [[2, 2], [101, 1]], 'field_poly': [-1, -5, -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': [[7, [2, -6, 2, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597797779268, '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_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1860.2.a.g', 'level': 1860, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 31], 'level_radical': 930, 'minimal_twist': '1860.2.a.g', 'nf_label': '3.3.404.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}-q^{5}+(-1+\\beta _{2})q^{7}+q^{9}+2\\beta _{2}q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1860.2.a', 'trace_display': [0, 3, -3, -2], 'trace_hash': 1238148143027105461, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.860', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_newspaces • Show schema
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{'ALdims': [0, 0, 0, 0, 0, 0, 0, 0, 3, 2, 1, 4, 2, 3, 4, 1], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1], 'ALdims_old': [19, 26, 28, 20, 22, 26, 24, 20, 21, 20, 22, 21, 21, 22, 20, 21], 'Nk2': 7440, 'analytic_conductor': 14.85217477595815, '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': [1860, 1, [931, 1241, 1117, 1801], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 373, 'dim': 20, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [7], 'hecke_orbit_code': 33556292, 'hecke_orbit_dims': [1, 1, 1, 2, 2, 3, 3, 3, 4], 'label': '1860.2.a', 'level': 1860, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 31], 'level_radical': 930, 'mf_dim': 396, 'mf_new_dim': 20, 'num_forms': 9, 'plus_dim': 6, 'prim_orbit_index': 1, 'relative_dim': 20, 'sturm_bound': 768, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [20, 0, 0, 0, 0, 0, 0, 0, 20, 0, -8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 20, 0, 0, 0, 8, 0, 0, 0, -8, 0, -8, 0, -8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 32, 0, 20, 0, 8, 0, 24, 0, 8, 0, 0, 0, 24, 0, 24, 0, 0, 0, 0, 0, 16, 0, 0, 0, 8, 0, 40, 0, 0, 0, 64, 0, 16, 0, 20, 0, 8, 0, 0, 0, -8, 0, 64, 0, 0, 0, -4, 0, 0, 0, 0, 0, -8, 0, 24, 0, -24, 0, 8, 0, 8, 0, 24, 0, -8, 0, 8, 0, 8, 0, 0, 0, -8, 0, 52, 0, 24, 0, 0, 0, -32, 0, 0, 0, -16, 0, -40, 0, 0, 0, 8, 0, 16, 0, 8, 0, -24, 0, 24, 0, -32, 0, 32, 0, -16, 0, 8, 0, 0, 0, 32, 0, 16, 0, -56, 0, -32, 0, 0, 0, -32, 0, 28, 0, 0, 0, 8, 0, 0, 0, 24, 0, 80, 0, 56, 0, 0, 0, 8, 0, 40, 0, 0, 0, -32, 0, 24, 0, 0, 0, -24, 0, -32, 0, 8, 0, -40, 0, 0, 0, 8, 0, 16, 0, 0, 0, 0, 0, -8, 0, -16, 0, -16, 0, -48, 0, -56, 0, 20, 0, 16, 0, 24, 0, -24, 0, 24, 0, 16, 0, -16, 0, -24, 0, -56, 0, 0, 0, 32, 0, 32, 0, 32, 0, -96, 0, -56, 0, 8, 0, 8, 0, 0, 0, 8, 0, -48, 0, -16, 0, -24, 0, 40, 0, -96, 0, -64, 0, -8, 0, 8, 0, 0, 0, 64, 0, -40, 0, 16, 0, -40, 0, 12, 0, 40, 0, 8, 0, 8, 0, -8, 0, 8, 0, 0, 0, -40, 0, -48, 0, -104, 0, -8, 0, -56, 0, 80, 0, -8, 0, -8, 0, -16, 0, 24, 0, -48, 0, 0, 0, -48, 0, -8, 0, 0, 0, -8, 0, -16, 0, -40, 0, 0, 0, 8, 0, -144, 0, 8, 0, 0, 0, 56, 0, 0, 0, -88, 0, -16, 0, 0, 0, -24, 0, -28, 0, 0, 0, 24, 0, -32, 0, 0, 0, -104, 0, -32, 0, 0, 0, 24, 0, 0, 0, -56, 0, -104, 0, 0, 0, 8, 0, -64, 0, -128, 0, -8, 0, 48, 0, -8, 0, -64, 0, -32, 0, -8, 0, 0, 0, -104, 0, -40, 0, 16, 0, -64, 0, -24, 0, -64, 0, 0, 0, -72, 0, 32, 0, 8, 0, -48, 0, 64, 0, -64, 0, -40, 0, -8, 0, -16, 0, 16, 0, 20, 0, -32, 0, 32, 0, -8, 0, -16, 0, 0, 0, -32, 0, 0, 0, 8, 0, 8, 0, 72, 0, 56, 0, -8, 0, 48, 0, 96, 0, -24, 0, 0, 0, 0, 0, 24, 0, 16, 0, -48, 0, 56, 0, 16, 0, 0, 0, -40, 0, 32, 0, 40, 0, 8, 0, -56, 0, -64, 0, 24, 0, -16, 0, 8, 0, 32, 0, -16, 0, 0, 0, 0, 0, -8, 0, -64, 0, -96, 0, 152, 0, -48, 0, 0, 0, 24, 0, -44, 0, 24, 0, 144, 0, -40, 0, 40, 0, 56, 0, -24, 0, -64, 0, 80, 0, -8, 0, 24, 0, -32, 0, -120, 0, -16, 0, -120, 0, 64, 0, -64, 0, -120, 0, -16, 0, 0, 0, -120, 0, 112, 0, -8, 0, 8, 0, 16, 0, -56, 0, 40, 0, -56, 0, 0, 0, 0, 0, 0, 0, 0, 0, -200, 0, 72, 0, -80, 0, 112, 0, -56, 0, 16, 0, 0, 0, -88, 0, 88, 0, -136, 0, -16, 0, -24, 0, 64, 0, 144, 0, 0, 0, 88, 0, 20, 0, 48, 0, 72, 0, -144, 0, -64, 0, 0, 0, 8, 0, 8, 0, 72, 0, 64, 0, -8, 0, -64, 0, 144, 0, 0, 0, -24, 0, 0, 0, 40, 0, 48, 0, 104, 0, 40, 0, 8, 0, 32, 0, 40, 0, -112, 0, 80, 0, 0, 0, 24, 0, -80, 0, -8, 0, -112, 0, 48, 0, 32, 0, 120, 0, 32, 0, 64, 0, 0, 0, 48, 0, 8, 0, 160, 0, -32, 0, 8, 0, 24, 0, -72, 0, 16, 0, 0, 0, -88, 0, 120, 0, 8, 0, -32, 0, 16, 0, 8, 0, -24, 0, 20, 0, -136, 0, 104, 0, 0, 0, 64, 0, 48, 0, -104, 0, -128, 0, -32, 0, 8, 0, -32, 0, -64, 0, -32, 0, 64, 0, 128, 0, 16, 0, 40, 0, 120, 0, 0, 0, -24, 0, 8, 0, -88, 0, 56, 0, 0, 0, -32, 0, 64, 0, -32, 0, -8, 0, 0, 0, 88, 0, 8, 0, 120, 0, 120, 0, 32, 0, -136, 0, 0, 0, 64, 0, 232, 0, 40, 0, 96, 0, 48, 0, 80, 0, -48, 0, 16, 0, -32, 0, 0, 0, 128, 0, -56, 0, -8, 0, 72, 0, -8, 0, -64, 0, 88, 0, 0, 0, -4, 0, -40, 0, 140, 0, 64, 0, 0, 0, -16, 0, 16, 0, 144, 0, -72, 0, 0, 0, -136, 0, 64, 0, -64, 0, -144, 0, 0, 0, 96, 0, -8, 0, 16, 0, 0, 0, -8, 0, -40, 0, 88, 0, 64, 0, -72, 0, -16, 0, -56, 0, 32, 0, -8, 0, 32, 0, -16, 0, -24, 0, 24, 0, 160, 0, 0, 0, 16, 0, 144, 0, 24, 0, -8, 0, -40, 0, -16, 0, 16, 0, 96, 0, 0, 0, 152, 0, -8, 0, -24, 0, -104, 0, 176, 0, 80, 0, 24, 0, -40, 0, 24, 0, -240, 0, -80, 0, 8, 0, 216, 0, -48, 0, -104, 0, 200, 0, -16, 0, 64, 0, -200, 0, 20, 0, 8, 0, -104, 0, 120, 0, 0, 0, 96, 0, -144, 0, 0, 0, -48, 0, 96, 0, 24, 0, -16, 0, 16, 0, 72, 0, 24, 0, 64, 0, -32, 0, 48, 0, -80, 0, -8, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 45532561
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797779268, 'source_is_minimal': True, 'source_label': '1860.2.a.g.1.1', 'source_level': 1860, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797779268, 'target_is_minimal': True, 'target_label': '1860.2.a.g.1.1', 'target_level': 1860, 'twist_class_label': '1860.2.a.g.1.1', 'twist_class_level': 1860, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45532562
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797779268, 'source_is_minimal': True, 'source_label': '1860.2.a.g.1.1', 'source_level': 1860, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396679894476, 'target_is_minimal': False, 'target_label': '5580.2.a.j.1.1', 'target_level': 5580, 'twist_class_label': '1860.2.a.g.1.1', 'twist_class_level': 1860, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45532563
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797779268, 'source_is_minimal': True, 'source_label': '1860.2.a.g.1.1', 'source_level': 1860, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 175640385501011216, 'target_is_minimal': False, 'target_label': '7440.2.a.bn.1.3', 'target_level': 7440, 'twist_class_label': '1860.2.a.g.1.1', 'twist_class_level': 1860, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45532564
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797779268, 'source_is_minimal': True, 'source_label': '1860.2.a.g.1.1', 'source_level': 1860, 'target_conrey_index': 3349, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72058006388352084, 'target_is_minimal': False, 'target_label': '9300.2.g.q.3349.1', 'target_level': 9300, 'twist_class_label': '1860.2.a.g.1.1', 'twist_class_level': 1860, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45532565
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797779268, 'source_is_minimal': True, 'source_label': '1860.2.a.g.1.1', 'source_level': 1860, 'target_conrey_index': 3349, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 72058006388352084, 'target_is_minimal': False, 'target_label': '9300.2.g.q.3349.6', 'target_level': 9300, 'twist_class_label': '1860.2.a.g.1.1', 'twist_class_level': 1860, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45532566
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 1, 'source_hecke_orbit_code': 27021597797779268, 'source_is_minimal': True, 'source_label': '1860.2.a.g.1.1', 'source_level': 1860, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 90071992580973652, 'target_is_minimal': False, 'target_label': '9300.2.a.u.1.3', 'target_level': 9300, 'twist_class_label': '1860.2.a.g.1.1', 'twist_class_level': 1860, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2260675
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 27021597797779268, 'p': 2}
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id: 2260676
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 27021597797779268, 'p': 3}
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id: 2260677
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 27021597797779268, 'p': 5}
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id: 2260678
{'charpoly_factorization': [[[2, -6, 2, 1], 1]], 'hecke_orbit_code': 27021597797779268, 'p': 7}
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id: 2260679
{'charpoly_factorization': [[[72, -28, -2, 1], 1]], 'hecke_orbit_code': 27021597797779268, 'p': 11}
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id: 2260680
{'charpoly_factorization': [[[-18, -18, -2, 1], 1]], 'hecke_orbit_code': 27021597797779268, 'p': 13}
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id: 2260681
{'charpoly_factorization': [[[36, 16, -10, 1], 1]], 'hecke_orbit_code': 27021597797779268, 'p': 17}
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id: 2260682
{'charpoly_factorization': [[[32, -32, 0, 1], 1]], 'hecke_orbit_code': 27021597797779268, 'p': 19}
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id: 2260683
{'charpoly_factorization': [[[84, -40, -2, 1], 1]], 'hecke_orbit_code': 27021597797779268, 'p': 23}
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id: 2260684
{'charpoly_factorization': [[[162, -36, -6, 1], 1]], 'hecke_orbit_code': 27021597797779268, 'p': 29}
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id: 2260685
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 27021597797779268, 'p': 31}
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id: 2260686
{'charpoly_factorization': [[[446, -90, -4, 1], 1]], 'hecke_orbit_code': 27021597797779268, 'p': 37}
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id: 2260687
{'charpoly_factorization': [[[-48, 56, -16, 1], 1]], 'hecke_orbit_code': 27021597797779268, 'p': 41}
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id: 2260688
{'charpoly_factorization': [[[-8, -20, -2, 1], 1]], 'hecke_orbit_code': 27021597797779268, 'p': 43}
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id: 2260689
{'charpoly_factorization': [[[-36, 40, -12, 1], 1]], 'hecke_orbit_code': 27021597797779268, 'p': 47}
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id: 2260690
{'charpoly_factorization': [[[12, 4, -6, 1], 1]], 'hecke_orbit_code': 27021597797779268, 'p': 53}
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id: 2260691
{'charpoly_factorization': [[[-126, 80, -16, 1], 1]], 'hecke_orbit_code': 27021597797779268, 'p': 59}
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id: 2260692
{'charpoly_factorization': [[[472, -20, -14, 1], 1]], 'hecke_orbit_code': 27021597797779268, 'p': 61}
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id: 2260693
{'charpoly_factorization': [[[-86, -74, -8, 1], 1]], 'hecke_orbit_code': 27021597797779268, 'p': 67}
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id: 2260694
{'charpoly_factorization': [[[378, -76, -10, 1], 1]], 'hecke_orbit_code': 27021597797779268, 'p': 71}
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id: 2260695
{'charpoly_factorization': [[[-86, -74, -8, 1], 1]], 'hecke_orbit_code': 27021597797779268, 'p': 73}
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id: 2260696
{'charpoly_factorization': [[[4, 28, 16, 1], 1]], 'hecke_orbit_code': 27021597797779268, 'p': 79}
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id: 2260697
{'charpoly_factorization': [[[-516, 208, -26, 1], 1]], 'hecke_orbit_code': 27021597797779268, 'p': 83}
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id: 2260698
{'charpoly_factorization': [[[-222, -88, 8, 1], 1]], 'hecke_orbit_code': 27021597797779268, 'p': 89}
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id: 2260699
{'charpoly_factorization': [[[112, -8, -8, 1], 1]], 'hecke_orbit_code': 27021597797779268, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 7, 'label': '1860.2.a.g', 'level': 1860, 'portrait': 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XDs4WuBsIaFacP8VMJKN6A7FIxij9WBYMuUYbljOHlBUfN8tszCjoWQzXMjNs2N2TI3Zsdmy64tiqt3etRVk2Mn23z9CZ+HDsY8diIiUT2+/UUd3vQCS13NcfDENMfOas5cTDifgvvwkuU51y7yS29bZef8FGcvTnNhtcZyx2OlI1ntJXQHCYOx4MiJZY6dWbv6wUOLLz546uIlR08vfv7WV705vOsLf/nNhsTf6PEPmsFXVzsYYxGCt9/zyJEX/Nz/+Lh843MPveDffOdZvbS2mdVek9VOjeWOz3JHs9wRrHQSVjoRy2sJ59fgyLJgYX6N//gDy9xyRYNTF2Y5e7HJ2SXNhWXL+aWY04sJF3sx07MjXnh9n+ddBb6sE6iACys1zi1pzq8IBmOIY0PNNzRrCTNTMQY4cT6m24fdmz2a9THWChA+/aFh15Yxy2sarJMia30Yx2CxrHRCtm/y6A0VQlmEGdOueezaOmJtIDhxVpMYzVxb0qoJAg/iWDAYS86vSM4tWy6sxgTBCLyYW6/p84JrBQvtOsurbU5dCDi7BBeWYi6sxJxZgSPLlpuvWeJXf2CVLdNtTp6f5fxyncVVn6WOZGUtYbUbsdJNWO0ZVvqCsz3B0sqA//4zo/h7Xt6625v9UeO3rrrbGH7B04Kg3v5mQ+VpH/9gGfxdv/tXvOLFz+b//Jmf/bWP/vVX/j9/8pdfumzfibVLDpwZyBdd12XvtoSkpKutlWAlIAGBEBYtLL6Es8t17jssuX7vClftHNGogaclvqfwfU2zLml4kkHf48DxGl98yOfExTHdOOLAqTGb51Z4wwtXuf6yHjdf1eH4UszSQNAIRhw9a+l0m1x3qWRtlLDvuKLV0Dx5Ai7fZhmFCaPER+uImRbsPxWgdIInY7QHw7HklqsGDAeS6y9L6A4TTpxtsWeLotkIWRtbNk0PWO13+dBX4JFjCY8dG7F72zI3XNllZjbk9bf2+O6XWPZuaZFE0xw7M8WR0x6nzhtOX4w4fTHhyEXBybWIZ12xyH/8gR6bp6c5dX6WC8sNFtd8ljuS1U5Cpxex1k9Y61tW+4LzA8VyN+bmq5b4yTcsSi3FJadPntkzGETPnZvfVa81Z7507Km/5Dd/5x8mo/+DZPD3/9lHePWt29WffOrQ/3Xy9IX/cOjQcbXcjVgaak73LFfvOs+7fmKRG/c2uLA8w3KnwUqnxkrHY6WrWe3BaidhtRuz0otZ6sCpVYGuj3j+tSt8z0tC9mxqstZvc3GlzuKKz1JHsNJxEmG1Z+gODd2xZTCKmWtH7NpsAEHgWU5f9BAyYPcmxZ5tlm2bBlxYHfPooRbPvtzSqK/yxOFZWs2QMPSYmzEMR3D1rhEf+Mo0V+6MGY8t81OSKBnSqgU8eXxE3Wty4xUxjx0NubDss30uYM9W2LUlRKmI00vgexYhLLs3x8y0JL1hQH/g0R14rHQVK2uw3DGsdBKWOgnnO7A8Sti1vc/3vHSJ51+lqXltzi21WVqtsbSmWekKVjuGtV7Eas+Be7kP53uKC2sxt1x5nnf8xDJ7t7ZZWptiea1GGDeZnd+V1Ftbfu3JUzf/6q75g8nzXvTGbzZ01j3+QQH8wIGD1Oq1+rmzp3fd/+ATb91/+Mx/3n/oNBbFKILOUHBxoDjTjXn2pRf4jZ9Y5oZL61xcnWF5rcFqt8ZK12O1q1ntQqdnWOvFrPZiVrqWCx3B2b4F0edNL+rw+lsMl26tEYYNVjs11vo+nZ5itS/oDQSjsSWMLUkCSloCD+qBZbpt2TQbob0RR86FPH44wMRNXvvcEO2t8eC+KS7ZCp+9L+ZF1wVc7AypaUWcRMzOQBx5aC9mebnBC2/q8tl7WuzZCg8cGuPR4DW3GGIx5PEjCcdO19DSZ/OMZqYpqAcC3xcoAbGBMLKMQugNLGt9Q29gWBsYlvuWYZKwe8eA1z+vw5teEIJpsbw2xcWVutPbXc1qB9Z6CZ1+zFoK7pUBnOsqFrsJN19xgXf+xEWu2V3n4soMa90G3YHPcKwYjy1efScy2PaLC1uv/ssdO7afHI1Gw8svv+KbDaX88Q8G4CeOHWJhYcE/dPjwDx06dPjd9z3wiLi41JPDsWU4NgzGlv4I1kYO5Od6EbdcdpF3/OgyN11WY2ltmuW1JqvdgLWez2pPs9YTdHqWTj9hrRfT6RtW+5aLPcG5jmFmesCrbu5x61Uxuzcr2nWPbq9G4ElAEcYSYwTGwmAECMNMa8ShMxZjQ257oMl4UOey7T7Pv35AZNa446Fpbrzc49D5Pp3VNs+7fsCXHgzYPGvZd8LyL9/YZd/xgM2zki8+pHj+1YqVQZejp2a58YqQOx4fEo8b3HqNz96dI4Zxny88qCARHDmtaTc0WsBgKDFWkBhLFAPSoH1Dp29ptiJ2bh3zgqsHvOrZMXPNGhdWplheq7PadedmtSvo9KHTi+n0Yzr9hM7AsjKQnO8Jlnoxz71ykV/70UVu2FNjcXWKtX6Dbj+gN/AYjDSDkaQ7EIzjutmz93p7yZ69P7Xn0r1/tLy8FF515T8MkP+DALg1oYyjwRuefPjTl11Y4p333veg1x8JBmPLYBgzHBmXoBkbekPhmHwoOduJufXqi7z9Rxd59l6fte4Ui6stOv0aaz2ftb6m01N0BtDrW7qDmG4/oT80dAaWxb5gsQ9RMuaGy4dsmU3oDyyve96YS7YY4kSipSWM4PZHa5y8WGPrTMwTR2pgGly1Q3HTlYagNuDBQwMWl5pce0mT9vQq9zzm8ZzLaywP1lhdbbNli+W+fYp/+vI+9+/T7NjksdTvsLoyy01XD7jniYTZ+jTXXtbnYqfDfU9NU9dNbr7ScsWuEcg+jx4TbJqNuLAYccejHqNIISUkxnLJ1pBXPS+k11dsmzHcdDmEYYOVToOVTsBa36M7UHT6km4fuoOEbj+hN0joDgxrA8vKUHKmK+gMxzz/ikV+9UdWuflyd3N0enW6Awfu3lAzGCn6Q0lvKOj2E7r9iGfdeHPUH6l/97bv/yeH283Gp2qBZ77Z2PqmZzKjsEcUDn5g6dy971pdOjB75mSPdlMipEQIiwCkiBHSgBAInAaV0iKl5v6Dm/mF92re+PwVvvflK+zZHnJ+uU3g16kHPo3Ao1nX9OqS1tBjqqkZjBL6w4TNY3fj9EYBK4s1Tp+yhLHhzPmYILCAwFcWLQWDoULgEQ80z7pEsHebZdf2AeOkx+fuV+w/PMOrnx1w09WrvP9zFl80uGT7gMfuUWyfVsy3B9RUnTDyuNiDZk2zY7Pgkf0hN11R5yU3LvHHnx7iey1e+VyLFwz48n0hn723yVPH6ly6rcElWxMWZkL2zEdcd0mCUgatLGBpBAEL0wFh5NEb+DxxyKM/0gyGiv5I0h9Cf2TpD9x37w0T+kNLd2hZG8LiQHFh1dKY6vDTr13kO58/5oZLm5xbatPp1+jl4FY5uPsjwWBkGYWWcQRfvv1+T9dm37Ww5YGVb3vlLT/T6Q7+eKrd+N8X4KPRkMSIHzl15O63nz/++dl+p0fNqxPVBMZaZ7ehEAIQCVKAFK6TRkmLkgm+lDx2aIGHDzY5dPYib3xBnxdcM2K61Wal06DZrdEe+vQHml56sYcjzWCsGY0to9AQRpYossSJO8LYxxqQSuBpQc0XTLcEMy3YMm/YsXnA/EyHzz8Idz7sIc0Ur362x7Ou6nHXUxHhqM3znyXoDIdcXG5y6xWG+ekBdR0wihWL3QhlBM+6QtNojXnoQI0X3zTF827o8dABBXaKZ1/j88PfvsKXHgn54v1N9p2ssWtBsWW2zkyrwVQL6gF42qIkGAv7jgmSRBDFgjCGcYT7juOE4dgwGhsGI8NgbOgPoTuGxb7kYg/GZsQrblzhDS/o8P2vNMRxm/NLTbr9Gr2hT3/o0R8q+kPFYCTojwTDsWUwMgxHCePQMAoNy4vn+PMPf27Wl8l//Sff9mLdHwze22x880D+TQP4cLCKJPnhY4fvfvuJg1/aZKI+Unr4nqXmG4wRuDoqgRAKIQRKkoIblLJoZfGUoe4JlgZ1PviVHXz54S4vum6Nt71ijev29JmbbrC81qA3DBgMvRTYLp0/CgXjSBLFgjh2S737nS6o1BpqPjTqhtlWxPZNA2L6HDoT8aE7ahw91WQ6qPOcazS3Xt/lvoMdbvt6m+deXmPX1gEf+IpAiYB2K2KtP8ZYUAIW2gO6PR8T13nDiy7ywc822HuhxuufOyCMlrnj8TmipMYt12zi9c/pcvnODl9+aMBjpxo8esxnx6xkti1oBALfczehFCCExVgwxhLF6c0aWcaRu5FHIQxD6I0Eq2PBSg+EHnHjlWu87VVrvOiahLl2ndVug06vTm8Q0B+5QrVsJRiMJcMRDLIbZ5Sk/7YlTsDzPHqdDh/++G2bEPbtr3vVC+3i0uofLszP/O8BcLv6q1xYvoZo5aM/uNyL3rly5uC8Yg3tK+LE4htDYgTW5SMRAqQQSCFRUiNlglIiXZ4NnrIE2lLXgtWRYrkzw4dvb3LvE32ef8Mab3vlGjfu7TCX1InjgMGoRn/oMRxrwkgRxZI4kSRGYKyTQFJYAt/QqMUEfojvjTmzPObTD0gOn/Y5dnoGZQL2bvW5eo/i2Vd1UcEijx9psX26wbWXwpaFVVa6ba7bLomN5fP3B4wHkulmzGtuGfGpOyJOnm9x5WUe59ZGPHnUY+fmGW7Ys8hdj/W450nBOPS5as8sV+0MuGpHjyPnVjh8Bu7f3+DQ0SYNLQi0pBlYah5I6YIqa93NGicQxhAmgv5Y0B0JuhGEJsbYETdf3uVtr+ryousSts4GjEZTLHdq9PoB/ZHPYKjpj5wkGY4Fw5FkOHZ9o6Nxwih0K8NwbBiHznGKEzBITpzt8Mcf+sqm+566+E5Za8b/5fc/9/6HnjrKX77rJ//xAvxn3/5umP59vM53f7+MT/yW6S1Nt4MGgfQJY0MUGYRwH0kIHNikREqZglqhlEArg1YJnhb42uB7lsCzNPyE6ZqgN/ZY7c7wkTvbfOXREZtnBrz1pR2u2jliNOxz7R7Lzi2KceSRJEWa3/0+g6cTTlywHDsvWBsaPnlXgzNLM9jQY6am2Dan2b1Fc+l2uHZvFyOXeM+nmqysTPHcqzTX7u3w5UcFIvbYNCNpNmIGkY9Mk1FK+3RGggsrgmtsg5c+u8fdD9XZNu/z3Gtn+effvsQffbbH/Qea9Ecey2st9myrc+XWAbdc0eO7Xtzj7MoKn7wrYHkQcOKcx5kzPp4SSCkROImXGIiMJYkNM3MR118zYDyOuGrnmDe/dMymKcVsKyCKapxbrDEY+gzGbpUb5sCWDtxjwWiMY+txwmhsXBIrTDV4aBlFMIoFYQRhojl3vMvdB+6Zv3TX/G8976aF6C/ftfDnSyfeyfzuf/ePD+A/9h/fT3D1m8Q/+1nxlh1TT/zB97z4qcZVuxtICcORYRx5jJV2wWMaRArhXAIpQaUg10qilUBrgacTfC3wPUPNs9QjSyO0TNUSZuqCQSjphU2OnW7yjj+fBRMj4phnXz9gz5aQOAZjDda6JI4UAqkE2vM5cNJn3+EazZqm5UvmG4KFOcmmWc22BcXurQlX7l4jEcv89sfanDg5zXOv8LjqkoRh3OPrjwdM1z3mpizTrZBG3UkhYySdkWKlb1nuJHT6dV547RoP7Buw/6Riul3jlmum+dE3LPM7H4eHDjfpDy1rPc2FlTZb5htsmhmxe27Ez75lQLvR4bFjcOCUxPMsSlmEMIB1/7MQx3DJloTnXxeTRB5RHGBtg1HocX7JZzh2K9ooVLl8G4aC0VgwCh1rj0OXlR2PjdPbkUnfS48IRpFgFMEwFvQiyVoIg/6IHf1Hp7/zuQt/8DtLu2Ix95YPD897tr7lZ/7xAPw//NcPct3uefWlBz/ypgMnlt7/Z/cv1R7ZP807frLHFTsMWifoYYBWPkoZpDIo6aWBpEUpleptiaed5vQ9xdiTjENDECaMI0s9MowjQxha2jGMI8M4hjAWjCLJOAmIkhr7Dzd5dD8k1uKg7bSxJ8FXruajFcC1W6Fdh6mmZKalmJvWbJqFXVvGbF1YI7Ir/PbHpjhydIqbLlVcukOyd8cqX30y5sLyFM/eI5lpG2r+kEAGWCWIE4mwljgJWe3XuLDscdNVdZ51RY+7HqqxeUbQqLW46QrDT79pmd/6uOHJMy3W+oa1nmJxVTM/3WSmXWemPUW7EbHQjNh9U0jgxXg6RqkEKVwwYXE3VRQpLi5qolgRxYowUoyj9DmUjCPJOJSMQsk4FC5ADQXj0DIO3XkdhwlhmGr6yKaBZQnYkaAfCbqxoDO2xKMRz7pkmbf/5BKvuu5Mo9/R7w87nzOd8bM+du7Q+5Ktl//zb32Av/s9f8Fs21fHzpx+89LZ83/8xMGzNdme43P3+Xha8Ks/2uHqHQZPxfRHCUolaOmjpUUpjZIWT1k8rfC0xQslvifcRfAEY18RRg7oUWQJ48S5InHpSCBOLEliSAxObxtycAsBSoKW4HkQaEEtEDQCSbOhmGpIZqYEm2Zjdm8Z0Gqu8bG7Q+54fJa1pTbX71Ls3upx+c4RiVjj8/c3aHqahRlFqzHi8SPw1FHNdTstg7Hihssjrt9rOX8uYXHVZzhq8Nrn9PjaY0MOnVE065LAb3PdpYZf/cFlbn9yyKdun2e5a9m9KWG1o5luK6aaHq2GR7NuqQWGwDcEOkErJ7Vk2lppLS5hZQSxkcSJII4FUSwJY0EUScaRc17CSBBGljCEcZQQRoawRBzjqHw4cA8jGESOtbsxDMYJRANu2r3Kr/zoEq+5Gbr9Obr9M7VILvzpyJ7+P5aSrX/18Nc/nNx061u+tQE+25ZyOBp879kzZ3731LHjtR1tj4sjRYcp/voeSTjWvPllHd788i6z7ZjeoIaSCUonaO3h6QRPa7xIE2jFyEvZxpOEviCMhLs4kSKKIYykcxDiwvaLE0OSOHchsalTkrolQohUAjnZ42tB4EtqgaRZF7QblumWYfPsmIWZHrFd48Nfk/zRZ+fYVKtx/S7Brq0el2wz7N66yse+bllZqXHVFsVMG1qNiAvHJRdXA/w9MI4EC1OS6Wk4dMyy2jWcX6px+SU1Xv7sHp++s8ZcCwLfR8lprtsr+LHXX8STF/nru2Z46kyNzd2ITdMxU01Fq65o1CX1QBP4EHigtXOYnK1aAjnuxk4MJIkgTkiBDlFiCWOIosSRQmQIs+fIEEYwjjNXJrUgY+FYOxZ0I0kvMoSjiKmgy/e8Zom3vLTPK24UrPVa9IcNesM6K2tnapFq/0GiAg3eX+B45lsT4O9+3ydY7psfPHb4yG8cOnKiXQsUDWOZNQaLoidbfP4BxdefrHFudYl/+V19ZtoRtcBlHD0V42kPT3v4YULoafxIMY4koedS6Y5xhGOilJXiGKIEkiSN6o0LuIyxWQ9nCm4HcKftBZ52AKkF0KgZWvWY6VbMwvSQ+Zk17t4f8qe31TlwbJpLpjz2boEdW3x2bIYrd3UZxF3u29emrjwWZhTTLZhujZmZivF9jRDu5hqOfVa6EWsDS6cfc3HVZ9eWFs+76iK33T/gwJk2jSDCUz5CTLF3u+KfvXKJm6+8yJ/e1uK+J6ZZ7ms2tWOmGzGNmqReUwSeIPAknudiFaVI7UOHcovrYTWGHOhxYtLVLbUWY0OcOHDHEYSxLY7IuTKj2JHKIBb0IkEvgeEwxsRD5uo9fuq7l/n/ft+AeuCz1mkyHNUYjX3GoUdifFZXT7b9Br997TV7/WNPffSP9lzzXd96AD93sYNS8kf+5x9+7O0PP3lqDisRgK+g4VmsNUgh6bUbdEaK3/hLj31HVnnDi/u89MYem+fHdHt1RuMA34sJfI9xqAkiZ++FvgN4FEnC2C27UZx62gmp9UfK3BJjKcDtkpQpc4NWLmGSefD1WkyrFjPTHrN1vsuFzoB3f9Lj8w/MsrLa5LIFwa5Ngu2bfHZsEuzZNkL7a3zwDs3RU02u2CyZaUmmmglSjjmzaAm0RAqwVhBGmt2butxPQnegWO1aLqzUuWJHje96aYe/+rLP8QsBno4QwsPYJlEsefaeVXZ/X5fPPzTgA5+f5cHjTbbPCOabCc1aQs0XBJ7A91ysolVqsUqR12RY3E1mLM5pSRzgM5DHiZN0DuwQJq7WJcySR7FgGEMvlvRjGIaGeBCyY77LS25a5TtePOC1Nxu0aLC6WmcU+ozCgFHoEcYSC9QDg01OzCXxpndeev13KxOvvlfqmW8dgF9c6hAE3j//wEfvePsdX39i0yg0eMqdZE9ZgjS6FwK0EHRFjW7o8cGvBtz+WI+bruryfa9wVXBz0wHDUcBw7BN4HmHsEUY6D5TiWBElkjiWRIkgjiVJIkiMKLS2EeSqJP29UrhkkUqTRb5nCPyEehDTqo+Zn+4zjIZ8+XHLh746xX1PTDPje1y33bJ1VrJ5zmfbgmTH5pBLt6/y2PEhn/zaAlNKszAlaDcF7UZEZ5Dw2a/XaPkWIRywhmPNG54/5jP3upqYTt9wcVWzY1OLN76gz337e+w75NMMYpQUDuSmwSh0Wv+fvbzDFVsv8sHbu9zz1DQnV+tsaQumapaGb6hpg++BVmlyTGZMDln5kUmlmjHFChenQHcEAVEiiJIU2IlgFDvW7ie4mCcMadYHfM+rV/jeV3Z59hUJm2c8BqMmnV5AGDnWHofumsWJwlrQGpRI6C0/umnx9Pzb57a90kTj1fd5wd8/yP9eAb66usbSSh8t+YFPfOaO//axT35prru2RqMmixMsHItkzoUWFl8Iekoz8Jqc7gacvbfBvY/3+avre7z55UNe8/wRs9M+4ThgHHuEkUcUa6IU6HGiiJM0YZMUADc2ZW5T1JQJYdOg0tVxaG3wvYTAj6gHIa36kIQhX3pI8udfmeaJY1OIKOCSGcvWacv8tGJh1mfLvGTbQsSuLV1OLfb4vU81icd1duwQTLc07Sa0GxHCC+kOm0y3LEK47GwUS2YDRWxiepFPb5Cw2lWcWaxzzaUtfvyfrPHOvwg4sdhEqyi9MTRxXGMUSrbMBTz7si7XX9rnyRNn+NBX69z24DRnO3WagaLlQ9Oz+NriKVzALrPcQvEwgDXupkuMILEQJ8L554kgTFySaJgIhgkMY0scx5hozFxtyGtfscZbX9HjRddFTNU9wqjJaidgHPmEkQN1dkSxIooksZFYI7BCsrbWI9z/lU3Dsf/fNu14QdzvnP4TZJtm6+9vfuLfK8CHwyGb5prfcec9D/zO5z7/xbYZd5htpbUkONaQCWkBFakN6NwLPzHUlGCgfAax5uK4xl/f2+SOJwbc8sU+/+q7e1y9q8umaUW7oQkjnzD2iOMC5EkGcCMxVmItabdPBu401a+sSxbpmMCP8VRIdxix2I34Hx+rceziDA/tm8Yan7m6YNO8ZX5KMNdWzE17bJ6TbJmL2b4wYG56lc8/bHjwqWmu3yGYaUlaDUm7YWjWQ4Q3Jgg0Wrnfby0kiWQ41gxHEbER9IaGXt+y0vU4v9zm1iv7PO+aNT74xRr1FYWWUXr+NHHiE0aux3N+usbNe/vcfFmf+19ylhOLkj+9bZqLaw1OLwf4StL0BH4mw6QLPHMiz6QKjsljK4gNREYwTmAUQ2gsJDHEEVKN2TYz5Prd7no85+qEdl0Tx46xx5FPFOuUgBRhWNiSUSyJUvIxKeGEUY1Of8yFpdvn9g7qv7P70ptWw9Hwk3+fmPx7A/ihQ4fYunWL+vO/+OBlTzx5sJ2Mu8xNaWKTBjWpVZVIkKm/rSVoKZzHHVuCRNBQgqEWDHTAMPFYDuvc9uAUdz81pBmM+T9e12HHXMwl24bcem0PLVyLmBBOrrispKuVdsVaKbixCGlRwnnmlhhkzJPHJA/s13z6vhZPnmwRxg1aWrFQt8w2LTMN63zwtmZ2SjM3LdgyG7NtYcjWhVXueGLMez69ia3TmoU2tJuKdlPQasTUgzF3H1SMQo3XdKCyVhDGkppW3HjFkHsfn3aFT8OEta7H0lrAhaUZfvz1Fzi9tMy9jyzgSUBEGCBOATQOJf2hZqZVY7rd5HlXDHjJ9QO+72WL7D9l+Mx9Ne7bX+fg0Sax0IzHikGkUEIihJgIPNOcgDXExmKNwRMJU35IjYjn3dRnz9YRO+Yj3vaaMXVf0qx7hGGDTs+xdRyrlHBU4bVnrJ2urnEaK2Urhgt0JYPhgOXe3e2Tpy9e9rpv+2517OiRZM+le//hAHz//qeYm5/xH3jggR8ySfIb3c4qrYZX8p9t+qWy7hiBlhAri0osKgZPCnxjCWJLLRE0dMoiiccw8RgkNXq9hP/2wRlsHLF5YcQ1u0bMTcW8+eVDdm0KiSKR6m0JJeYmlUdSGoQUfOT2Oo8daSK05sTZBmcuNKjVFVOBYLppadcM7Rq06oKphqLdUsy0NHPTMD8ds3luxPZNXRK7xke+1mbYb3L5Dku7oWg1JK26oVWL8byQz99bYzyQeJtct2gmUZp1xWtvGXLnw4b+WNIfJnQHmrWe5vxyg6v3tHjzi7o89GSDEystlDRAlOpljyhxbtIolPRHmk7fp1Vv0KyPuXrHiOdeOeLUxQ7Hz62hvYRHj2r+6qsNhHKFa0zOH7QGMGAtUZiwe3PMW18+ZL6dcOVuy+Y5SGKPcdgijj1Wux5xpIiSYgWNovQ5VmlMlBWypQA3zn/PwZ1q/HEoWeuvMD0X/cajjzw02LFj9x8dPLAvvOLKq/9hAPzsmdOsLC9dcer06Xc/9NADUmtJTWhUbIhjS2IsJrHERpBIi1YO+CoRaOl0YpRYvARiJQgSS81Y4kQQGkuYCMZGMk4kofGIDCz223z1MYMl4RP3uZENWJMeWRYvtchEVpEokUoRRxppNJ6WtALYs2BpeoZGYGgE0AgEzbqkVXdyaKolmWnD3FTMwsyYbQs9Elb5Hx+tcdfjm9g7BzONlL0bklY9plEPaTaG1OsNAiVRMtXgODkQRR6joWA4TuiNFf2RoTc0rmWu6XP6whQvvGbMT7/lAu/6K83JtQAhDNZGmMQSxR5hJBmNXRlra6hp1nwa9RqNoEEtiGjVQ559eYjvRTzn8pi3vWKAVnGaBDIIYauiPJV0xkiEkASeAnxGY83yqnZ1O0kW86RHLIsYKJY5mKMkSyilz+mRJMLhICF1vlIfPrY8+NADMjHy3b3e4Gvj8eiJvw9s/i8D/LOf+STa8+rHjx1505Ejh0Qt0BgrULFBSUEkjQN3ytaJEiSJRSnQSebFgk6j9ySL6BNBbGwR2RunD90hCI0ktpLEaCITkKS2V/mRZylTt0ZL8BTU6paattRUQuBBoKHmW+qBoO5LGnVJo6YdwJuC6ZZhth0zNz1m02yfbZuWec+nDR+4bTM7pxXzLUO7qWg1FM0GNOoJrXrEuWXDkXMBNd/FG5BV+glGoWbPFsOW+RHdkc9wZFMWl6z1NK16jVZjmre94iJHz53nDz65HS01FkNiEmJjiWLNOFQMQ1cUNahJGiNNPfCoBwmdnosxfC9xCTMvQUvXKCGlS+eL9HClK84FcCAXdExaZWlcXJMkEmMksSniHQfcLMAXJEnqZiVFxjQxZXCngWwK8DiBKHavwwgefuRRcVl/8KY9ey458olPfHz4nd/5v9bI/L8M8GZd+73O4s+vrFz4eZOMZS2QxAmuCjC2KCmIE5OC28mVRIE2Ik/EaOX86iRLPpj07xlKhy3S7GmlnPNyRR4olTU3UGqQAC2N0/zKrRieEnjaOt9YC2qBpOZL6oGiXlO06pJWwzLVTJhuxcy2x8zPDNi1eZn7Do754O3bmKkFbG4Z2g3hwF2XNGuGZi2m1Rhz3wF4dH+DyxZsqnuLtPlwrHjOlZbLdw25/4lpBmPLcJTQH+oU5B6NWp16bZrvefEKjx68yL37toBVGJO4ctjYEkc2rycZjjWNkaVeU9R8Q+B7BH5CoF29j6ddibFSrmEkK2xDuOLkjBaK4NyVEJvMkTKZ/VqyYlNgxzmIZQ7k5GlYO0lI/zy1I9My2ySBcTiUZ86e+798v+E3m41fA8JvGsDHo4Ecj0e/cttn/+JnBt2zfr3muQ8dQyRFCm6LigWJsilwTZ5cSJRFJzYFr8g1umONLPuIY+cU5CbNxGXJCmstpcx7ZcXNUtVZQkfJNGOpKBVtuexf4CtqgaIeCBp1QatuaTcSppox060xc1NDti2scu+BIb/yx5s5eXqaS+cN0w1o1xXNuqJZg2YtoV6L8L0RnZFFSYWnLFIWn8wxmiSKfdr1iEFsGKR11oNRQm8g6dQVjV5ALWhxyZaIX/2hDr/8fsnX923GojDWkCSGOIkJY0MYKUahYhhI6mNFzZcEviXwFYE2eJ7z+7WyDuDKAVylMiVrD8wfaWrfpiRi01qWJAV8Yopnd81kXgKQA9yI9OfsOxdEFufxWZpNjS2xcdg4cvS0r1Tj3/3ID7/N6w8Gv9hsNP7O6fy/M8DjcA1rx7925uhX/000OF6bbklX0x07YMu4AFUindzIJIrJQZ1l0gqQl4Ftco8WrLGuizxNEpUPJgCeyu40sHQSRUnhZJEiTcsLPC0JfDcAqBa4kQz1wNKsGVqNhHYjYqoVMtsesm1hjXv3D/jlP5rnwMlZds86h6VVlzQb0rF33dKoJTRqEVES8mdfbCGVwpMWJQqb0NhsCff4Z69e5QsPhvTCwDVZjxL6Q0Wvr+gEmpofEHhtrtwZ859/eJlf+iPBPU9sxlhJYlxaPYpdodk4NIxrrtw1CAQ1TxD4LrPpa5tnbLUySGXTDinrGiUygBcpTyAlEVwuwbktaSCfATidOmDy5FoK8nzlFcXqXHrOVmlXGmBL5QKu7uWRJ47W/uoTt/+f3/2drxRLK91fmJ/9u03P+jsDvLt6EKx9XmfxnnojGGCNjwpllTVjB6o4AZUIp7/LoE4sRpGD3ZQY2r1On03KItamrE1W7oyd+FwZwLMaDJXXk4u8jtwBXOJ50tVv+IJa4GaeNIKEZt2Bu90MmW4PWZjucN/+Ab/yvlmePDHPjhnBXLMkTWqaZs3Vr9RrMfUgxPPGnFmewVMCJU1qyxVBZpJI4lixdcYSxxHdqJZ2yrgex95IUh8oar6H79Xw9BRX7Yj5z/98kX//h3DvU5tIjHQATyxRnKRMbhgHhlooGfkql2CeB552Es3VqTibVmbeePq8AcadXCFNCiHy5JBJk0NZtjhJSu+X5WUO7KImKMlqYFKplSTWFXyldeadwZhPffGB+qV79zxP/i/sOPF3Ani48h68qSONgw/c59tkjcD3iJMkPSFp44CUbglMHMiSXGc7RjfGkmhysFeBnckQmwPdZnIke/00n02KoojKNUuIHNxKyrRRIpMnUPMg8A31mqUeOP3cqEe0GyHTzSHzMx0ePDTil947w+MnFtg2rVhoGqbqglZN0qgpGnVBveZuDpfqD7l3n6A/8qkp0pvMafCsCSExgijWNGuKW6/tcd+TbQaRkynDccJgqOgFisBX+J6f6udprt5p+PUfvcjP/T7cs28TkZFExqTN0kUP5tiXBL5x7O0VdfRaZQepTCkISaZZ3o1AniWFbAbwFPBJ7rwUBVzlldekxkGxSlcJLk6BH8cmBbhlnAadZy90+I3f/2v/zd/1/MZ/eveHB7/0U3/70tq/NcCf2neaJ85un9628u7f89TKiwWuOUFri2cM1qZ9lOmyHKf6N0mTPImBRGdLGhglNmbtEqBNDuyiKZhUe+cXQ7haFyFTcKdFRioHOKi0YtDT4Hu4TiA/LbAKEuqpvGjVx0y1hsy0ujxyeMwvvXeGR49vYsu0ZqFhmKpDsyZo1hWNuqKRs3dCLYhpNUbc8ajPWqfGzEyRJs8AY1JtGiWKTXOKVzyrzx0PGNdFE5oSyCU1T1LzNJ720bqOlIard1re/qMX+bnft9xzYBOR0URpBaAre3VMHkQyry70tUTrtAhLCpTOzg3558tuwkyqiKwqjSIhNHmY0nOR0CuvvKXV2pYBnjF6uaw5rd2P3fUPo4QLq/0Xnz517g9/5d/8s5/4N993cm1q7m+3K9zfGuAiOUVTnf+5ffvWvte3IZY6kHWh23R8sUy9VoFKHMhdUFnoMqPKOjsFe5qcydi7EkhOMneK9Cwjl2tvmVXQFbo7qxjUClefoS2e5xqLa76h5ifUazGNWkSzNqbVGDE71eGhg2N+/vfneeToZjZNe2xqJEw1bArulL1rknrg2L8WxDSCkNiM6YUBQkm8jMFzDZ5l8tICscij6Y9cuUBYYyYD+Shh4DsGD3zpauJ1tgGt5bpLLO/8iQv829813LN/M5HRjBNBmJiUxQW1yBB4Ft9zvas6jTu0ciXCrg3QnScnU0RpBXRnNb8xy7HOBLhzEioRUxncGdgLJi8KvDLAl4u8TPq7ap6g319l5cL5733woYePjMbRv/9/lMFPnjqFX9+xe/Hwu68nvkg/aqczOdw0VyUtVoMQBpE4Fk2kO5kusEy1mS2BOw1SbBZM2iIQK5iiyEra8pqZsXY5qMyW27TGRaXBlNZpZ1BahJRVD9a8JNXNEfXamJn2gKlmj3v3xfzCe+Z5+OhmFqY0C/WEqZqllYK7XnN2YgbuepBQ82PazZB9xy23P9TElxJPmTSIKzyKbPmOEkVsNC99dsRll/Y5crLOQoOiz3GcMBilLKwVWhdtfEJYrt0Nv/5jS/z73zd87ckFRlHdJcNiSyOt4Q48HMh1tnqZVKJIpEryFU5JUQK4KIGcdXqlALmtAtwWsjJ7b6N4Kkl/zpnc2Nw2zP5MijQ34Un27z/Nh/76/ut//Zd+dPfFC+dObNq89e8f4IuL52m32pc88cT9v3ny2Og7zDikFsi8xtp5zbYS5GWSxJg0wTPhjpSfCzsqXcYnXZJ1bknK3JPgFhapMgcnrXlRKWtri68NnmcIPEPgx9T8mFoQ0qiNmZ0asNobcOcT8Ot/voXHDs8zn4J7um5p1QXNmsi9cue8GMfevgN4PRgTJgmjYY2acjeZFKJSyZclUlygqZ2W12PGoWUYiRLADb6f4Hsaz5NopfJe1SwLecMewa//xCr/7S9i7tk/x9lOm1FTMp1YWrGllk4cCDybev+Zk2Jz9s6kSgbw/POmH7qM81whphelWFlL5bdlsJfey65zVrqRs7mtBqNFKbWTTZgRgeh+x4MP3J9cedW1/+fZM+eOb9v+NwP53xjgy4sn6Xfrz12+cPBNZ06fZGHWx9oEcNG3zbJiUiATgZFlrzSLuEv12SZL0tjqa1vVe1XWrqrC7CK4cQ8Ze9tUntjScCBXFutpk46ZSHJwB34K7tk+i6tD3v5nDT759QWW+jMsTEkWaim4a053N9LAsh5IGoFNGdxp71oQAiFfecRnNfKZC6jUYyOqK1SSuOaHdqB5+U0D7j0Q0osCpvKOdYM/drXqvnYA18qipIeQLkGDhat2St71r7p85t4hv/a+zZxemmE4rZn2Ba3Y0IghiNzoZV+5gUZeFmhKkQfB2XM5UC/fmELkvSIFi+fXqgT2kttlSlKzYPKyVi9YO3s/w0DmyDUCxaGDB3lg28KbULU/Gw6Hx/9eGXw0GhIEtcsPPvX1f7168Uk2zVpqgUXJNGGQdXCnUbaRDsjKFJmwxGQp4BTMOagzCWIr0qTC2mVZQlFX7spus1mF7rXKAK4sWjpga+XA7ekE30vwvZiaHxH4Ea36EK0H3PFowh9+ts2n79pEaNpsagvma06WOAsw88lVeoiUucvsHaH1mLufmmYQarY2ss8zyeCZlSaJYkXNUzzv6iGxcQAfRsJ1rWed62PjgkMtUhZ3N7JIk+sWwfy04Htf1qcVnOV9nx1y51NznI/qDGqSdmxpautArtM4RNk0LrEpyLNzKIracQmSgsXLOwqWL0nO5hMrbzmOcnX5VBndrl/Nbfm6pzfaKHK9o3fd+ziXX37Zv37Fy174cL8/ONRsfuORcN8Q4KPeUY7u+yL1RntbZ+nISzy5TFBXrp46ZcnCkXYgtjLT1qIK5vS97AJXtDaF1i6AXbIeyvaVsBPSxOaujZTZaDeT1nyn4FauFiPwInw/ouaFNBojfH/An9+mecefbOLI4ixeUGNLSzAbJLQDSzOAZtphXw9ctrOWJoRc/UqSrgROnix1E/qhj68UvrR5gEnpq2Q3dpLWbISxR90bsWV6yNqgxTAS6bg1Fyt4XpLafCq1O1U6N6YcuLrKx+94UZ/nXLPIr//piA98foGVuMkg8Gh6krZ2NTiBdq2DWTOEzpI+6conc6lSJIDKpFIVKxuxORuAnZI2nzjKzF0utxBFjkQrwcmzq9zzwL6X9AbxttW1zqHH95/k+que2VX5xgxuE6689nmXrC0++Z6lkw8xP+0q90QOMlsJQlxSQKR6q1zLkGXDRCmAFKUlqQzuUqlr6SGwBZuk2TdZBrh0q4qsMHeSgjzG106SBP6YwBty/ELMH3ymyce/NsfRCzO0Gx6zNZgJElqBTVPvGbhlCm6ZJ4VqqfYOfHfjtJtjPna35tCJOrV0AlfeLkaB8nyMg02Lk2LNVbvh25/T4w8/N0e/oWmns0eCMI0blEHrbMIXJZB7pWvlVoVd85Jf+KcDrt9zmt//9CxHz0+xEtcZeJqmEjRSoPvSuhsndZny1S87r5l9iNPnRabTrvfJM+bNSidslZErtqKpAjzHQenvkt5UsXCdRRKIE8Xn7tjP5Vde856XvexFr1tZ6X5DqfKMALd2DPiMVu/cYYYP7G3VzuKrRt7Eu+7vZyDNmVoUHz57j4y9RcHYGVuXbECbXjAyxs5ALgpgu+dslHIhmVw7WlZgFLvOHR0TBGN8PaaXhLz7wz7v+8wWzixPY1Sd2SnFrG+Z8g2NlLkbefpepnUqqTRJvfMc3L7LXo6jkEOnA/phwEyQujhZ0ilzJbIsrC3VpESadlOzZ0eICkb0whZDX1CP3Eg0P5VXXipRdOZ6CPU0watiYWrAj3/HgDe99Dzv+0yXP/jIHEvDJkNdo6YVDS2oK1d/76fdPlmdflbekGU51zE5VbmSg3sjNmcC3CVSy58pjIYcCxMPAyRGc+xkj0/ddWBvous7vu/1Nx1f6SbMtp9+q6lnBPjZc6dBTi+ISH5Yj77sNesenh4RJ6romMlZmypobRnkVFrIcp2dftmCsQV2w09iS3agzYFdkScyrZJTiQO4TtAqwfcian6I74V0RiF3Pyb589vafORrc4ySFr7vM+cLpn1D07c0AkvDL8BdCyRBIAlSaeISQ6kzkQLc91zm89g5y50PNggjj6Bp1wWY+cXKNbgrRQ0jhedpXvGcHh/8Up8Dp5sMa240w9iz+DF4kcELDUpJ51tLN5A0H+5DAZ7EuN7HRqDZPD3k337PgKt3jfnAbS0e2DfF4rDJSPl4nqamBXUJQTZgKbNXpU2HnlICebVmZbI4q/SUE5SZAPokuDOZatiA9cvfyUJoBD0r+dDnH/B+7Luv+zDm4rOiUX/x78zg27bOy5PHH33u4098dOoFezsIv4WUhiTR+cDKMojzWuK0+qzC4KTvlW+EDNjpn5cZvFL443p0HJPnKWVTmmNoUjvQTcZSKsnliNYRnX7EXU8I/vhzbW57aIqVTgtZr9GqK6Y9S9s3NDxLw7fUfVLWdsxdDyQ1X1HzBTWftELPpOA2BJ7T30qPOXgaznRqLrGS6ttq4qSIVhxrpbXSRhKGms1tweU7hzx+MmYQeYzTGd9+6KYReCqbrJslamCyTiO7eTIbMkpcffhbXzHkNbes8uWHe7z/820e2NdmudegI336vsZXAl8KAonr4ZRulzoliptUibTsdwMGX1e/MsnkGblRBXFW8py/pnjP4ICdWIisYGwscZwgkzXuuPvDU55+43M3bbn5czzD8KBn1uCjE8HOheR3t1z/VDOJDJEMEdKQmBiTyHwLv7IcKdcRV97LgG0yHVoCOBOSJD9rZWliKRfoO1liUs1t3DQsmeBnboaMWOzF3PGg5rN3tfjknVNc7DYRtRpey6OtYcpznTx1j1R2QN0X6SHTktNUd/uCIGPvDOA6xvdjan6ItRFfeSjgxLk687MCT5pUx4qi0bfEdrZSbqoYjj12bxa84qYBH/96SD/yGEaCmmfxY8fi48iWVimV+9UIWZEp2baKeaOCcX57PRjz1pcNedVzlvnE13p85q4GdzzW4mKnwVD4DH2N9hRaCDwp8KTEEzaVWhaFKEnDqn24AZnn19aUni2F3s5rVkiLtlKAJ1aQpOB27G0xxoCNIQlJYsNv/MlK85LLg9/tx6evBoZ/a4Cvdi2r4fD7w5U7p+e9VZdyjobEiUecaIxKAV7S206GyCpLmzJbi5LeLgO9ZJOkp6i8DIoSsIUwqR1oECnAtU7wdUStFjEaJxw4A8fPKj70xSk+90Cbi6tN8GrotkdDSVqepaUNdc9S96DmOXDXPDeT0JWZytIh0j+3KchNDnLfc+1pR84aHj8WgOely7wtpehFBQVl9srrpxM3zvm6PWOu2dFn/5kGw5qgEQuCyDJWpNaeSdk7c1MyC7LQKrnPnlqRxqh0+oDHKPSo18f84GvHvOHWNb7wYJ+//FKD42dr7D/TIFwLiAPNSGukki6dD+j0OWPyXLpQBP/rmLzspiBKDO1wkOSALgWcpN559kWsAZs4cJsEkggiQ+/cgMeffIwz881n5OinBfjSakeEUfjTv/unR6cv31TjuVeOufmKiMCLqStJEinCUJEYVepiT2deINcxehnglDrebf5/xakRongWWbdJxtrCpLs8JASBm6QaJwnnl+GLX9UcOV3n9vvqnFmtc+RsE4IA1dDUtKKpLU1tnIvgucH5Nc+Na3Mgzg6ZHioFOKnmTsHtJQSeY293Y4UcW4R9xxt4smoP5hKFoh68cBNSJ8WkfY2xxzW7h1y+acATR2MGsUcrEow1+LGbCahKAJdSIKSsMHnGlEUiReTBbNZHGSUeY8+nXQ/5Z68e86Lru5xZ7fKV+32Ongr4wkMNzi7XSIYeRmoiXyGkdCtF2pUvSTOekMuWjJAmnZXcSE4BTf5s8nFyVACdNUCn4A4NRAlCx0gVc8u1Y557ecSLLr99/lWv+tl//TP/9Ng7VbBnw/DtaQH+9vd8jCiO+einFiFZYM+2EdftCXnJzWOu2ROxbSZh7yUhNSuJI5kvicZILCXA2wLQTmeLXG9n9/yEo1qK2AvWzqWISvCChCixHD0lePyo4ov3NXjimM9Tx+p0xwHjMADPR7U9AiVoKGhoQ73kAwc6q9PIymZdXXiQyhLfV/i+TG8AW2hvL3GZRc/p/JofYU3IhRXJ2AZoLfGlTdPM1VKCykW3WfNA0e8Yxh4CzcJsiFQj+pHHQAvndERFwZhWppKBlJlJDZANO0JgjSyYvDQYyUtUPn5iMPbZMhOya3PEsy8dMwyH/B/HOjxx3OeL99Z4/FiNoydrRLGCQGGlAiFJZCkblNP302iVcoYrZ7SsOdxWAW1sytgGIosmYe+ekO0zEVftCXnpzWOu2xNxyRaLJG4y/PT3xiP9zr8Vgx/Y9wH2HeuqX/y/nxSj0ZjQBDx6xOPxI4Yv3Bcz5cXs2hFy3VUhr7l5zMtuCsEmeNpSb4E1bmwDRhLH2TbbLlTMGZz1J0MI94WFdHUjCIOQlii0DEaO0Y+flvzFbQGDSPHIUzUOnwpY6vuMEx+0D8pDtRW+FNQVNJSlpnDjzFRaeKQca/uecEmPMrg9iZ/KksCHwCd1TVzK3NMG34vTjGhEvRZycTXhi/e06PQCZqYEOvXis6KvyeueX2tTCgiNZDxWzM8pXnPriC88MORkp8nQk06maPBiixdlnnXqscvE2YWUZ53I/HcYq0u/wwHdTxSJVsReOvYh8pyV6kU0/YgXXRfzvKvHvPElIw6ekjy6z2MYKj7wxQbHznsgJIOhJglVVr6J1RnAJyyjDOCVtLTJX4vYIIzF4sBdb7qEnMDw8pvGvPrmMddeGbJ7e8yUhvkpAdbdqNYOiOOz14Std7xzpfuv/u1GduGGAB/Hgj07pt493ezdEKNc8TRuN4TFYcJiz3BsNeGeJxP+6ksx8zMx1hhuuiLkra8cuaKZ2LIwbbjxupBmLb1JrUt42PWngOxPhLR0BoJHH9MsdyX1muS+fR6f+lqNUaQYRYpz532M0ETWwwgPtEYEGi0lvhLUpKWWAjtQlkBZVwOuU89XF8ztZ32ZObhV2qMpcvb2PYPvZwVaSc7evh+hVMhXH1Z8/OstlK+d3VbR30/P4JkXXnSjK0Yjjzc8f8gn7+7yga9M0Y9rNFMd7mU6PMqSMjbvFhJC5gBzv0qWtH4J4CadUaIdk3taEWuNjhMHdJWglBukP1OLef6VMbdeGWHFmDe/bMAocuPc/vprAffv86kHgqWu4tEnfLoDmaokseEVLpIATpY0a5YbnzVmfjpxBViJ5a2vHPGsyyOsESzMGOamLQqJRWMSxXDo1IJbMCKOnTtROxfddr3d8PdtAPBzSz22zDXb//63Pnrl4VPTynhjhJKp6Deg3FJiTMzYGM53DOfXErAJB09aPvVV9+fWWKZmEp57fUir7kooN0xPlm/z1HVY6yseeNyn21FILd1MFKsdMwmNmwusQWqklHhSODBLSyANvnRA8BX4qpjR50AuioYH7RoBssbjMrgdw6dltV7G4EnpiAl0hLUhZ5Z8wnGNYErip2lvJch95DyLKfLrW8kH5N3pRhFGHjMtxc75EF+MGMYBw1hQ124IZlZDkiW0lCyXt8r8d7nfkVq5xhTZU2PSnslCGsVxkuYN0hIMFRPFCSpyuQStEqSM2TFv0hXDcPWuEaEdIrWh0xE88LhmbSBRuWKpBtVlMse65odmzfK8GyKmpg02cTK2rgQq/ezGeiSRJDIqde1kYWRYEMJn60zC7pnT9fbWH26beKUr9ewzA/zU2SUuXFx95wOPn37Z6iCmXdPOxjGZJ5lGuCbVTaYYuBNj6GTvS0t31XLuq2VndCOAl/VbenGEwGRDC0lrToUqghwpUysrA3WadpakG7dmvnHpWaed9Ip06z1ycLu2LoWfgtvX5CWmjsFTFtcGP82Oel5EEEScWjL86ReaoH03nUuWEjwV8FWJLGPXbEioA5sbrBNGHm97zZBP3DHkqQst+olHI3ab0roqQFt04qgsJ1AO9rLSxUwKyVKBV3aYvBZGa4WXuHkpXgp0JYukmasbT18LkzazJGhhETZhvmH4thcaSEs43PXM9s+w6693DgmBNRoTZyaEJI4EkSmBOY0jTPZeFuflsVyCUUdfFkwdeyc2+hffkMH/5EO3oaT0186eYXPNgJTpAB5BlGaTIiuIhcRgsdJzUbBN3NlUttAj1pJ4ZWDbie9buvJCkJlO5eDF7XjsAiklwBMurRwIVy3oSfezlqQ1FWn3eFZIpCnNQSHdma3oqi8ALnPZEvg2b2nzfVManBPjpezt6wgpQ06cFyx2awitCSQVeVKeqJvdyhVHoVR4VgSCbsbfXHvM7i1D9p8fM0w0owSCROAlFi9OdXhM7iwVp1FVOhWymM4Bxhaly7k0MujEkCiJ0tn25SotVkvS/ZKKQ0iDSkEust+NmbBybQ70zAErbu682Nk950nC8rDUDOBZBaqsHNlwVZM4bA6iFYbRZ9zuvd8I4BfOnEAIQV0MmGu4WSZhAlHaUBplh0ynkVr3bHL/2+blkxXmfjp1IoRbVrOlPLegMs/VFb57wuKlTRVZjUf2On8vJfuiFJS8wdZXwoG9Am7pnv0M6FnwmYI76/7RJpconnb61PcjYiI+c3edC4t1vCmFX67hKDsoTCjSyTT1RNJnNHYTbF//gj53PzaiG9cYaE09NoRpOl3JoiAqKzgTwlB0DmWBZilLaMGYdKaKJW1CEWgjiJVAJzLdxc7V8sQp0ItkmskTbFKaUuLNVJJwhbVb8sieJtDOV5pyFjzLetsSe+cTtlR+nuJYMY4lUSzR3QvYDUBWAfjnv/AlWs36Cz/2qa8+Z20lwRi3L4uK3Zi1yIAyFi9tXkisdQBPqwUTSnUFpYzVhrjOjixZIEBlz8KiIbfaVJoydvNNCo2bTah1zyIfhVAGdj4HReH6ETcCeBZwZrpbZ7LEpnq7WkvuexG+F3K+Y3jocB20j07liS4VKGXZPjGBcHcxS1V3eV+qzD3xKPK46bIxc9NDOqsNBrGiocCL3XdRSTq4NCoDPG0XzH+RnKjUFGnfZAoY5Tbd9YwgUZJEGRIliFOQl4vXsnIImYE8A3VpQpbAsXpR0pzz9PralXxBr5Z52DLYSxO1bD5ZS6VDk7Id4hT9kUL6U8/ZcemLXnj/11951y23vmxjgA+GIVFsvg1rb8TG1DyVLyYZqyohSETaIZ0VwkhbykKJUvaq4PAysCcBLtKuoDJzZyPXVAnkGWPprDYirQHPSj1dc3HWqeJkicq7VwpgZ823jr1Tza3J9XZmCTrGLsDt5dWJEYKIT38t4O4nWshA40vh5m/nFYRFG11R8TeZzSzXzJcZSjEcedx67ZBvf1GPP/h0izAJ6CeSWuLGKmhZVCvmMkXKlMXLv+rpmByMlmkjsMjBnSiJUsYxupTpaAlTKkUu1wDZAuQbMHghm+wEACwVLQ4VYGef1+T6u3x+ZFpD76bZjiPNcJhQ0+ZGYYffpkR014YMfvLUGdrt5ms+9ekv/dPzFxbxPaflyvu3CwMysWmvpUBlXRkblUeWkf00hTkZuDMAyBIoJEXNQ3m0QcbcbguS7GdSBidvw6qweNoN46kquN04hQnmTns2/bS9zdNZw0FcOiJCIv7yK20SG6Dy7GU5wCz6GjNno6LBmWjXM9KN0kiyYFMj8Hjrywf82WfGrJmIYVJjmAi8mJzFpbTIWORFZ84unNSismRNihLIBYm2Rc+sMiTaooyTK4myqMRVMLrsscxLkwuLslzdWZQx500pJaA//XpeKrZLAV4tt87AXSSs4lSaRJFj+UF3mSjs/tNrnvWy25eXzn5hbn5bFeBJEhOG4WUmGe81yZDAV2knRdYIavOLJI1j1LwSjEJT2sznnPw62XJdMsHL8iQH+kR5Zq7FJzRnBvrybA+lRKHF04q7yrCbFNhaicJJye1A13HvGpNtytxFgKlL7B14IQ8dlhw6W8MqDyUlvjToyTqNkgCfdFGyI+94qrT3OZBHscfebRHXXNrn6wfrRMpnGAtqErzEomORyre0CydOdTjSyYUJABUsLkrSKOuLzNwVV++SZLPbU+lXgDurBbJpmUDG5OSrhyiBG1FMzKIC9urpyBpW82y33WiFSwGe2ZvZBFujWVkbMrc62huG4WXjMP7COgZXZgURD5huhEw1NcvdYmmREqQFRQHyYqKrzZeYchPEeuN9ommh/LoM9BK4VV7zXdhuhWQRrnteFOB2QabIu8V1Dm5ZAXh5+I/rticHdp6tzJk7wdcuseO6giIsEX/1lQbLy3VEoJ3vXr4JJ2tQyktXuVTUVFm14k0bRRRp5mclb3lFj4cOtxknNQbKp544LZ6VsypJCu5srTCpJ17KGiIrmtdJAFu6wcqTfCXKZCuSzV87gMv0e5q8bS7r8hdC5gxeBXlRNJefClFl82ptkqjEDvnwTytIsvjBFNrdGFjrwfEzAzadXGI8HuX/bg7w4cU/JPEFyoxJjGQ4kiRJcV2ky5AihMWIcqvZekliN1iOyhe50N4Tz2VAl1m8Ml6sYGxZZnAlSiyeyRWJ0lWA+zodAORlWwemGU5t8fJUvElfJ5VDK9e589QJ+PBtLcbSR0mVZi+rN+JkBnP97Z5dWNaxlEkZPE40QaJ5y6tH/PHnBjx2tE6kPAZS4icmdY8EMrGl8+QmG2RlD+5h0t9V3beozOSJAZ1biG7qr0pLAlRii2Gd+VwWkd/Q8YQeL+qIqp1AVYBXMVLu4qmCvMTkpgg+baYApKVRs7Sahi/c9Qgf+tLhdDeMEsBPnDzDrp3bGv/lf/zmnocfO8jyYoKWLnWesXLmchhwQUUlAp7Q3Bs8yktT5c6eYO+NJYrIgTM5DlmWGDsLMrOpTVpnm7ym2ltNgDtL33tZY7JxM0PyFrGspzNOjwjlhRw6o+mFPiidyhM7UR47eeNWEV4daDThhafdOEXiR9P0BFduH/HYoZDEBAyNTy1xNds61eBKuI1cXWIpWy0NWZBZMHlWBJe1EoLOB5u695RxM220Ie0gskhTTAjIpmtl+y3lvbGyCC6FdJVHRbNyVYtvJFXKeaFyzVI1figwJ0UmJS1X7R6za4dham7bnle/7mcba7/1rwYzs1scwC9evMBw0H31pqmdP7d04TAWQVxKq+exYgrGLAC22S0mqn8v+6EC6hJ7FyB3+ZwyEApgF32MqsSKqjJUMwM5RY20KoE6f50meRSpF+7AnZ2c/CjLkzJ7q7Sv0w9Z6Rn+74+2WB7WEIHn5Im0lVWlGJyzcUVGBei4slmbNWnnDO4clTjWtBuan/quHl9+qM3y2CeUmqGU+GkPZTHyIWXwrOIn1cVZGa3FpOA2pZLmooNGp0OasiA9A7uSImVwJ4mS3EUhlymFDi/aCQuZkgWe2fko3rclbGS4sRudp7KESf96Fuy6nxUNq5lp7/25o0cP3xVHg0/kDL50/gA9P0Cb02yaSTizrHLrrrLUWqp7Fz0DY2dLSNkWzL/gBLsVLoooQC4nJUp1ME0ObCmQqhg/pkqg1lKiU0mic4BnmtvkQaWnTQ5uT2f1F1X29lSE74d86CseTx6pg/SQUhJkpbElazPfIz79kk9bTVhi83ynipJMiY1rOYtjj+v2DviOF3X548/VMDpgKH0CKfKkj5KCKA/o1jO5KDP5RA9tLlUUKOtWBWOFA3c2JczgxvDlYyWKWTTFZFrXxylkFeCZI1YmNiqA3wg9JWqc9JnTu2Lyhjp6xnLw4im2blXEsdsYQgPcfPWIwIdNUx2+/GCfc0dnWGiavOZBlC6YKN1pyGdgKFE4JgWoRf4l3dYZYkP2LgJLUbB5zpDfCOCyALgq1VDrtC7FI5cinircEq80HKjQ3I69Pe2mVq12DH/91RZLnQBqqXsiSsHY00iU7HtOXr8NbbtyajrJ3BTNTFvxT1424JN3j1juB4RKM0xkak+K1L0RRTO2LNgyA3ZWhecaDkyuybNud505Kyp9nQ5NNen46+y8l0EupCh132dDPFPdLav6uwxuV95bhksZLDYHsihelFRB1jJXTFCYmwp58OCAR06FXGYVYej+cf3V+w9yOp6/5L777vzpr913msdOajfC1jhAwXqmzQFbXlsm7sZKcLURc2dfMAe2eEaJIirArs7+Lne4uOHuVMGd7WyQMbcqMfc6Bs/GTRQjJ7RymctjxwUHT9QwBAip8+bconqwHD+IkqtRnJByLUrB5KXMXT48XhbtZokGq7lqd8jerSOW99exie9YPHEyRZdcnCK4Kxd6ZTVCsrBwbcrmtvDJjRS5dViObZQrS3JgLzlaQhZklIPbCKe/ZUZgxR5FgsLtKexiWymjFhNLXrlcKeVFJ4/T7+ba+GJuumLIli2P8MJbd/30nite+sgv/4vHjmtpDb4YblleVa/5i89Y5lstpmslT1pucOE2AG2FuVn/Z+XJSFkCJNPzlaH1FXkiSs6EoAg2C0A7BicdBVz2wctHuqW1KoO7BPJ0v3ovLQ3N2FulP2sdoVTEZ77e4tBSHfxCnngl63K95GLi5EwsxDl7lgPOIqlR1uJhqLl0PuT1tw64/6kGGNcbO5QSL0mzu0lVKuXAyqGT2YZuaGpl6kH2WqavZbqqyOxw5z5JVwyZAd1kK6zNiakiVSikJxWgu5suI8mqdTzptojKCiBlyua2IIjhWLF7c5O921aZbojXjPvRliTmuA7S8QBtH7Y2BY3AtXXl47xyuVBl1acDeamQrcJeFc1dep0VV5W1diFTRF4GOgnsnM2VKDXhlsCdzicstu1gPbB1MSAoH/GmTQry2MkTFVFvhHz9gOITX20yHPnQ0Ggp8ERVmkx+/vINvSHAmdDfE5Zh2RePYs1US/PGl4743N0D7jvgY5sewyTAF+Q3msp/f2nyWCWccyAv5ylc8JneYMqxeSKdHjcl1s6CeiOzoFKU9LeokKGQII2j3LwDvyShClxUHZWM6PK8yQbxWnbeBNmcdUsoNT0ENhF4cwFeukWMXhnE4MWsDQ3GQt0rGgQyoOSSYEIjbwxyUV1SJsBflifFIdazuCj/3gLUUpV2b1AirU0pwF2APCubdYP5sxHKOt2ESasq0L2crd2hlAswfT8kChM+d0+Dp042wPMQUqWgSueGlIJLISdu5PJ3LyE7Z23SqaylTKaxWZGRzD3xJNGEoebqXTGvfUGfR4/XGcc+ifQYGoWfMPFZBJWS1QmQ24nPgspuNoNRApX50FJglUv0ZXpcljFhSrMMDSX2Xt/RtI7cyK53EYAWQC85QZTPrXWyKjc70oSW0GAFgTfE90ZoNUCYIfodv/8ZlNZ0Ox1adZX3LGbLez5Wd3IZngTyBmCfXH6qX1RUAD4ZXFYDzGIHgkKalKzCnLEzgBeTU3OJkjK3Y2ybM7XOn4vXXhpcahUR+CFPnBB84e4Gg6EPTQ8psspBSvbgBlnMsqTLlrWMufO0ZjFZd7J8tphrovJun1Yr5LXPH/PJO0Y8ejQA7TMyEj/V4sqASjKgpZ8hKeQBSRnsBbCtddc7ly7SsXm2qmRBvrEO7NIUiTZhym5KuuqWwZ7FWrIaF6zHymRwXrw2CER6MxlhXdvBxFRiLChVo7d0N1H/UYxJ0LZ3kVgI/DhituGabL1ShlCWjiwAWHc3Zh+0dDHXsfiETAGxDgi5HBFZUDnJ4E5vl7OZSqUVhmlFoWvnKrZUKeaDT4A7PbxsCm1a4K9V7A4d4XkRsU349F117nyiDjUN0jU0e6US3kppbPko//A0Grw8jdVmGwCU5qknRlaAPh55vOS6Aa9/4YAnT9SIYw8rFEOh8RLyzySSgsWLj7Axkxe/36JUxtyOzd3PAmlErsNzXGSMnpFSBurceSuMA4RFmg1W9wlHpcDIxi6bSYNMY5zuN4q0Iyq1VhNBbBK0HmCtRW+fdTuijUNBv59tZVFl7HLAtxEDb6zF1zN39X1RWnZE5YSISWBXpEo5TV861AS4VenQxSaoGaC9Eqgz58Q5Ju5ZqQjfi3jkuOTDX2kBPkgPIVTeRaTSjVTLWdfyilQSbRMAo1KQVjB3SYNbgUlEOmBJlPaJ11ireevLh3zxnhEPHHGTBCKjGCQiLfhKr19iq3q2cq+5z2KtdSxeAnr2pyoFvZHpfj5ZUGxKmWWb/i5biptMAdJi1RcTstZWztVk4JnvvVS+EXIMplo+LSvIsqhh5CRLb1RDKg+sRU+33OCYkZZgskuRnpgyM5Uv3Dr2Lu7AzBmZtAIz9i/89A12EhApS2caLtN2GXOIYjXJQZ62phWbTbmZ5cUA/ALcFdYuPWeNtZlUUSrG82KiJOb2++o8frgOngfSBZe+sKXJseXAapIEyoCqQsuWXuQNEKUakUp1YSIxKnVUEs049Lh274iXPNex+DBxLD4WPiMDOsmCubROJXUhXFRWuskoSqEnrUslwSqLtCKVAy4QFVZgBUgrCqmSBZUbkKIwpRu/4otPGg8bADvH0oS02YBMsm+UGIlQHlKmAK8FEiklgoQoygrOS8vYOr1dXlJKEXv2dys2YmYLldlcUPiixftuSlN5j5iJ+hNBvvdOvntx1nxbaXgoti5RagLcpaH4uXuiEpQuATyVKL6OOHRO8P7PtRhHHjS8VJ6Qt6ap8i7B5dWsIi6fRqLYKtArhUWlzQGKWuiyFtc0A8kPvHbAp+9scuCMu/kSoxgkylUZJmnyJ824iSR1LCZWkqwwrgxwaQstLlONLo3FptfISuEAbkqxUsbkJjMIWA9IM2kulIBdtgondXjJbSnjaKNMaJxYpJJI5axQ9d//+7s2e1r/11OnTl3llhRZZAgrtlyRLZSyCPSULLkakwmY0lGVG+U9LGXqhqRjgdPxwDlwJ45sZELZ486fdaG7nYNSBXd5r56imCrd/UFHeTODp0MSGfLHn2rwZ1+YhiAAVUMpTUNZ6sqm4yjIG5y9UmtckUktJ6IkxWRYKgFqEUsUtmN20wpJ2vhb9EIqaRHWsHNLyJklyYOP+8RCglAYoRDCldKuk4lMgkLkmkSUf7YlUWNLJdEF768byZZLLSb6A7J/b/IolQpXJhEjKv9eUVZcnXVZVBZS2ndU5PtsXnn1jVueddPzv6TPnzs9PR73X4eNCTyVtzBZW9zZuQzJ7qrKc3VJWa+fSoxe0lBig5/zpW7Sf59o5i07F5n+ziSJKmlvle/0UNqIStkJSZJVCmbsHeHpiINnJR/8cgM3f8Wxd965n/1+QWW8sCyfB6gswfkPOYAmwFG6iOW5gu6iljvJFYlKtXii+Z5XDPj47Q32nfZAhlghGSUemrReJDvXSQrPJEv8ZNe3JJ3ShgOLm42VbwaVAk1akNbJlkx3S+t+hzWpP27SAHXCGZt8jZiUs+vjuxxn5ZLbEsM7oVHcUO6cScZhxMpK73WI09NayRhfG2qBG6IpjMkL8auL2QQDiOKur9o+ZYmysRW4Pqhcr98qNeBpMqG8j0yhwYutArOd1dQEuF0q16TPzg5UyqAyv1vFKBmjUnmSqJhP3dVk36FCe0shnfedd9Cw4QUUsC4Yryrwau3QZANyxRMvTaTSRrjaFFmk8MNIc/VlY97wwj5HPhgQJgqEJhGaoRDoJLXvyALdzFERlPk4D4EzUrOuHdGNeHDSxNrMmksPYYsUvwAjHfBNJlNKPrgpEZjJgCurZdLAhAQpqzyR3wjlcylENW5IrNuKcDCyrHXHoEborLNcK3dCwX3IotPZ5oxM6R+eDC4nl8DqwJvJAEHkKdcKSNZlTqusnf2csXYG9oy5c6CrMpMXultlQWS2xYk0aFkMzVcqwfMijp5T/M+PtRlJj2yCVtE1n64g5Rro0ndbdxWe5lFdvkVeelzpRTRlDS4q9SmJ0cSJR5DE/Is39fno7Q2OnNWgIjCaSHgMhdtpOq+6KwebEyDPvHkL6OyGS9+T1p3zjM2lzTxxU2FzI9wNZaRA2GL1mAS6cGGB6y2YIIe/iS9exmEZ4Nl+m3G632ZiQYeRK5RPTJo1khKVzzYptFjlum2g58Qk2CtRcul1Jcquvi4DW0ywdpZIqYLbFBJFVhlcV/ztFMwVv7t0SMfing7phoY/+GSbMxcDUDq1BmUqT2zF985fT16oyZv8mYBOWW9mjQflHs0shV9Me8qbIaQiiTXbF8b86Hf0+PX3+3QiFxBYKxkb5WzDpCh0IhGUrmoO8uL/3Z+oFDX5LKeU1TM2t9ZJoJzBrbtONgWvEOTbAJoNrnXl3GwgU8ox+sY29ARZZHi1Ln7xtHR7i3b6MZ1+zGicUAtURUNXWLvESmWNnYN78u4rgTr3P2Xxeh24ZVmilFnblqzBosheiTKgS0yus+0NTS5NnBwx66SKUnH+rFWEDiI+8umA9/xVm7HxnDwRKpcneVPxhpndajBXPYcbQ7w8G6mwCsugz1L2boeDLLtZTHhyW4HXdMyPv7nPwRM+7/uU0+KgSIRkZFzAKRNyBi8KsLKLVaTuy3alA3chWaxN2VxklYcZm1tnH+aJn1SXy+J3Ze7ZpDYvE+J6+7nK5hUG34A4MnlYD6Ddgqkm6OEoYTQ2xLGFwLkik3dIAfCSnlx39xX/XSVgEE//XqUwp7TcF0xeAne2RXd5y0BVdh1MSapkIC4xuSyqA6vPcep7R6yswke/3GB1nIHbAdyTTntrUZUnlc+a2WVlItgA32WtPck+laq+ya0XzUSduJQoozBGEyeaKT/hTa8c8PG7Giz3FMgIjCLC6fGsyjAH3LqruzGTuzxQkRTK6lOyYNNK955jbwd0k938doN6lA3AjnDltWV5m8NtgsnX4a/0FSTu93oat5lYzaIbgWKcbpPnaZl37Ez+x9VfUE2tsgGAYWNwbyhNNgK2qEoTmQeW5QaDalCZDacpwJ1UWLtg7oy1C/b2GjGf/mqN+x6vY0ra2zU1ZPKkWm9Sroyr6ETx9BdnPW2U93svJMpkM0S58TaxEmULXzxOPLSJed51Id9+y4A//YwPKgQhsUIwNhol3NTWPNAUBagn5UpmDVor8p4Am+nwrP5DlgrFpJvxUq6odLFbIVM2PPJzZlM9nuGqWjNekcUT4C4TcYILcOMEBiNBbSzQWzcpfKVYPC9zD7Kyem1wt0wGAJMaafICb3QXVzJesgqYKnvb3CLMNyotAVwqi862FJepYyJtqqszcCeFYyJNsRubdO5J4EUcOSl5/6dbnO/5br9r6Qa9K0GxY8NEvLD+ookK4NczRfVRSfSUmH3ddozZPkiVrnu3f457dtufbG4m/OC397nr8YAjFySICFAYJCMhS5tIuaAzA3VuY5ZvuDKf59nM9DqU2bwM5qwYq5RWNxO14dVEX3kX5VKLXUlCleVuUT9exmH59nSfaThKOLeYEJoE3QhgXHO6JUyoWIQVvfM0y8MkWz8dc7vh9sX7VVuwVPlWAnRuD6oM8BMgz2dkT75O8qGRGYtrWdLdMkGntqDvR4wTw+99qM2dD9Vdb5vUTntL6bp2RDF/Jf+s2coy+X0nmLyM8zLW12cwC9eiXCFX2RI91+Su3cxkjkpiiKVGxZqXPDvkx97a5Vd+z2ccS5eBMpI4dVVcjTY5U5I5K/kHcy1plD6f+1mUYoO0u95m9qCTaNkNkLG2TW96J11K5yjL/mZKYJ32Lpy7nNHTs/h0bgpkXrhlOEoYjhIGI4MejATDscsCZcBj4h+pmO6TIJ8IBCaXnvwLMaG7S+ntsv7OAJwB38kSU7D5xCFze7CYgFoJLmUhS3Q64zoPLmWM58d85QGPj9/ZYBx6UNe59s7ZOwtwK/JkA+Yuobg4jRs3HZe7x/Py2VwaFMVXVhXZvnKteGIk0jipkgE9jjX1RsybXjLktjuHfPEB5WxDJAhJJDTDbEUFhE1by0pyxe02U9XkNmXHvC5Fpp8zbYrIfxZpaa3YCOjZucjAXmbsCdxQrDBVzBUlIU/3nsVNEK7VJPWaQK/1LWs9twdOLdhITnwDsFf+TrGsPG2wWWZrSkxYliXphq9KVF0Tme+nnrooeXInA7IpMXcJ6KVh7rn2lm5K7Frf8um7Ghw4V3PSRLiSWJFpb0FpgpRdB+5cslC+iGXefuZHtklXZslVjyI9vX44UFGjIqVCmgRpNNFYc8WWiG9/UZ/79vl0wjT9apweD1Fk+0BUwV3S4Olnt7jkTn5DSue25KDGBZYSJ1WMcP/mJNBNLo1KFYRM5A+eCVul9zbGYua5uxKQek0z1XQdUHocGsahIYosgU8lVb5OdlD8g5PLb9UinLSAbAXslQCtxN7rRhFMgDlj+EySyHwwewZyOwHudGeC0nMGbk/HGBL+5DN13vOxFlZo53tX2JtCe1eswfVAp3JxROWCPB17Vyr5mNTfGZOvb2UrdjswbmsP6XxxJQ1R4iGV4cffOODwWY/3fFwTxQXIDYKxkCiTDZLIiupKIM9BLZwPiFsEirczHZ7fm9j05s+6baQogC6w6VQ0sR4PWT5lXSub+2zrNfdGasF9fimdFerpdFMxT6Dz2RWyqN4r77FenkC17m562l9qqz+X2RsotuMupEgWXGZTk0Q+irjQ3kKsd0xkBm41KU+qe9ardO8Zp8EjPD/i8HnJx29v0u97UFfr2Tuv+S45O6JI8JR14+TrDOTfiMNtoQFKciDT4qLinti06SAHuixt6yGdFpdSE0UJrWbMG1864HNfq3P4XHpRnZFGIgRDt9a4z2hScNsC7DYHdeqWkCZ/smudOSmi+MxGkFcwWlElN9cVZCdWdTGBlbKLUiXPMldsJIeNzObLW7dLcmJJEotuN2vEoU8tKEabyZJseDr9Xf2FRVRaDRaKm6Q6wao63mAda6dDZFSJxbOJpkq5wY/FYPaS/i5ttyFLskTK1DFJmVzrmHFkuO3eJl9+uO6Gg0vPAXyCvXMHR4hqMEyp5nmSyUsr39/kkbP5BpV3xjgbrthR2m1F4nS3KWSKkSRCohKJEYporHnljSGvfN6QU5/1GBunw9NKKGI0I4HrsiEjMpHZINh0Zp/Kr3TmqKT3ikhdC+mQbbPspcwKsIrcgCNYZztWkzylMmOqmryMNVH8lBNuBeCyKAgDQxwnJFaD8NGX7N65pmT4uYtt7zutNTmDF/qy+ksnQb4Ro5dnfhfAthUmL0uVyrJfHq6eAzsDelE2WnZOpFyvt8t2YJaKl9J16kg/5o4HfN7xR1PuRGTOiVQIId0+QKJIy1cZvOz4bMzeFXA/E9Ankj2TKfuyXDFkU6/SYixROCq5JpfOGxdGE8cG30/4+R/qcuC05o77JcYXKWTdF4iMYkgaN2QfKNMcSlTHBafujvPC09WWqjyRQqRaPU3fk022EpWVGpxmrzooJVuwlDQsfqpae6L0d12vpvPAE2PcJlq6/rmFzdvW1I3X7eivrS4dkZIfw8TpPG03JKfc81g9qjOwK3Ui2YSl0t8VolreWth8E/52vntYOYCcSOakNd6FLWhK222YVGubkixJSgkd12t5ekXwjvdPcdfDTbcpj/TTklgPLQV1CYEk3eTKrq/drhxp72o+JKc6jCireZdqomG6pOuLn0Uu3wqbtFpR6XbULs09Kcm9YrcFcrdifi4m0Jb7HvNZG5ZqC9Iw05T4MR/Vn1l06+7Ov8myVCrGLUkvx63Ff1+pHyGTZFX7NP97GxxZSXFWW25SB8oYqAUBi4vLP/jEE08d0FibVwVns/qyk5ndReX7uPqDe2N9wFmd7r/utbSVQLPM3GIiwCz737nmzli8Auyyk1IOLNNS2PR14ie8/5NTfOKrTWxNgVAOnUIjpKz0Wxb9jc/QMZ9/vxIdrb/m6zxwu8EpLSfZyoFmdX5hGmSm8wNtytzWmqJGRUikUSRCI4cJb3rZkKeOerzzvZowiAuAC4E1HmPS2pksasza2kRRHw44TW7S7GbK7kWQmbK2SCcPp/KkahXaCcsw0/M8rTzZaMWrvC4FrFkcaUt6Twd+6nJag7AGTxcllaL8b5XuqMrvys5F9vsm9BElEIsy05QCzDLzTAI7B7TIfO+iq6W8vV3G3PlrWSR1ZF5zkvDF+wP+6LNNRkk6BV9k1mCatRS2or03TM2XgU4Z8BNypXKBNmY/mwZ3mfe8LqOJXVdCa2UpsylLzopQrjBLpsVZ0pAYTeAZfuj1fe551OeLDzu7MPPGkQJjNeMkDTozLU6Rjk8FdxpYZvagQKWWYBnkUmQ3QlpwVQF46dyVMqjlVaOCpQ34tGD26p/kWlxYxqHb7tAYi241YvcnJgaboKSoLBNZVdvke1DMaS6AXfLBS+9NArxsCYoKwEsBp0iTOKLY2Uut0+EbsHiZvWVSBJg6YjCGX/vDKY6eCbC62C25or0ziVQB9gSg2QDMOYSfJuTfAOSTZFHNaJaLr8p6fH1tipFpxaEss7hCJAYhNDI0XLo94hd/uMM9/y6gNxKF9ZB+rkS6vTidM+A+hNvqJwM7YFJQk2He9X3aNLhMRx26gDMrvkplrC2dv8n6lBRN61a6CsGWiLZisVYw6c6cVAlhHGOsRW/fOoWQiijsMOp3sKjKnjEuerc5o5gJJt/oUQ4YJqPl8uzociFVBnRZYXJTSJSsL1FsAO6Ka1LanTf1vLWOiBP4nY+0eHh/zXneMmPuwjnxRFWWKFFl7UomdoK509Qg5aGbG/H1OiafcE6KBoiitsKdd7u+2lA4Bs+DTiMdyBOJEemRpFLFGG66KuKnvrvDb35omjBJqRYyNJKgGJtS0CnByyxEbCFRUjDa9CLblLFzNpfu5rDZ9S8neNL/Lk/d5ys9lf1iNzpzkzU7ue62xX5DUWyYmmnRmm4TxQn6+me/Fu21WFt8mFMHP06YNIhit8GPG/xY3iclWy43kCrlpWIC1JPbWBS1HOUNjNa7J8Wmo0/D3qkckWVZUjnSwLKW8KV7A973kRadoec8wNTzJm3Sdc5JkbUsl/KWdXgxmm2DGYSVsEzkP4t1V2qClSbxXgF6AfIqa2dTYW0K/rJUcTZiIhXSGlevEivaNcOPvHnAg08G3PZ1BY04E87ul0tBbCQjspjCWYaYkhZP0eiSPeRAt0LkmU5rClmSHVVyS89dSd6Wgc5G5ysDdP7anZfEuDa12ECcCJa7hje98RZe/sIbWF3roZUGoSS+H9FudRmNNcOxhxSWWFpUkk0NSjszJqLZjRm8YPKnA3Y16k+dlhLA3ZbRG4BcmJylK8ytHNBlqUpQyhipY/Yf1/zPD7c5vOw7o1+UtHdaMeils05yZ2OjoLJ0A1eliZhYbje4UGUGmHAXKvLPFomVvBGCjdL4VMCeF2JZk28qKzKpIqyTKpFl72zMv3hLj+PnNYfOCKwuCywB0iNJQc4EyDP5Yo0b8kmJyW0qWWyJsZkAeFYnLinqUTLJn4N9AlPlc5OBOsvuJunmWbGBKBYMY8GFIYRC4Qca5Wv0kbMK7WlWLkri1Zgtswlx4gxeEUMirDtRRri5FmbiROdsVaigQp+WAF62r8R61hYi25qu6pwUMqW6pfRkMidj86yxQcoYP4g53xH82nvbfPwrDayninT8M7B3Ufe9PiU/uaxOJnXKjF6JlsTERatQ9vr31teklHV4BmibZzhtpsNTBpcie50Gn8IQJwZPOlelM5b83LsUF9YEBFW6tWhiKxmVNHgF5KKQK1aCyuRJCnSEK4+1OBGUPYuU3XOMZIye/7PVduj8dJSasjMpku0IFxu303acQH8sWJgbc/XuEZdtj5ltxOiVTg2v1jy/stb6ghpf9ppxuIpWFiESB8BYphdUkqQf0kyc/PJHkiUHZlJzZ4Avb1wk1skSU5UqmSwRTnM7BjeFzk4zlVImSBWnr12tSYjhU3c3+dL9jbTWROXArrJ3sWtwed7ghsVUle82EUuu0yMl8G+02pXkSkWDkzF3qm3LjQYpc8vUTbGk2+sZgRBp4id1VqQs1axIiUgrDgNtefUtI97wggF/9jlFGAuXts1Z3N00sRTrQG7T4YAWm9qFpDrcpq8dmqVJ0/jpdbalc2mzc2iL9zKrcKNHxfuuyBKRShOIrUCLhJv3bGL7dPCFoNE4v0WMUe/7g9/m3//L56xtnhVrjSD6/nh8hsAnrxsgq4nIrlwaQlezkrbEzKX9W0p+98bNC0U/ZbW2pFTbXfK85UbMXeqIz3W3jkmk4ZN31vlP75ni2LkgbWIoEjqu5kQQSKilg+x1OgYumy1eJHOK0XDu8xeD+fMpt4Lq0CRRHdLvKt1kNXGTOXWTRzmgLdegl7RsMX3AlYvmdR5y4xUnu9NEylCz7YSrL4s4dVFx6KR2ExVytBV3rBUixW0xACPPIJaSOmQ35Dp4CiY4cN09Xu1NnThKSqGYF+M2ro0TCBPBOBFERmDiiKsvvxTU7P/njruP3vuiF77U7dHTrK8hZIBO1ojoo5RPGCuE8Ev9gKISIZNqqMwyKr6OqUoUUX2ulsTaCR+8qrkdW1flSRFQFsydATt79ryEY0uS9320yYHDAbRU7pbkiR0pc2mSZ2Cp1qY/bcd8GTjZhRfVgHKyFqWwUUVxYScvNAI3jL7E7pPBJsXPWfpeCjfwRgqbe+MivW5CFDpciqwrXxONLVddGvNDb+xx/+M+xxczEzv7iCKXIbEUjCyu5iTVExljux5e99pm/70p+eWAyLCDzaVKxUURpZ830uAbsbiFyMAohl7kmqtHI8npNcO21YjBKALSTaiaM89CyBaB38N4X0MgCcMWa1YSxc4jLoapl+udq5FBEQ2nMkWUdfeEHVgBvGF9DUqR0MmAXQ4wq6BPUMJJE60TVnqC3/qzNrc/Ui+qBHNgF9LEF5PtaEWXjiqd/HW2IM9gFVbv97/Ro8xgFRYr22K5ZHEgy2WKSPshK964u14ufnLWZWYbCuF20DPCkAwML7tpzL96W5f//IeS1WH6OTJNYdxraxWxEYyyL566KnnVYSpRVCpRbCplMkKUOVTSwZ2l0lhZ+urrVJ5Y73eXbVRjXGC5NDJEcR9MzFWXb+M1L76B1c6A/5YBXNd2UmvuuO3X/vRz77jvsSt+LgpX+PFvG3LDnsQFHbYULaWd09kvr3RlVEpry3USE3soyjLIC4dElPV3rrntBsxt8gxlxtxZQmckLL/3sRbv/UiLXiVbWehuN7vPpeSzURD5XG2qIK744BlTl65EFcwWUd5n8W+A9Mnu+rKLUtHklYCzunGrzINOcuZ2yRWJwZ1PYyxJOr9QiHQOTmJpeRE/9uYeF5YVv/1nbYYVR4V0/1iLlZoYp8kzAOeaXIJKbzwr0gpEUb4ByINQma5U0pYymbI4VVkACgWbV1Y7kZ1nd/JjCy++YZkff90ivp6lNXPsHS+45ftvO3rsXMHg9dZO3voj/2mglDzWWZzj4BmPDzYGbJmxKJTzxG3WkFzorqp7UG4/mmBpWZUoVc+7GlQ6N8VQdk8mwS1zcGfZyhipYvAMTx3y+YvbGnQjDb4CykGlcgAnlSY5c5fYW5b0bgnsldelZyb+bs4DFXw/M9LzdH3mptgJ1rbZzgq2dBMUzoqxpAPqJTIHfup6pYGnG2WsnLsiJAKJFIo4MrRqMd/36j5f+LrPIwclJosEs42SU6/cSkVMwexZaW0mSVQWjKZJHiXdrPCsGSFDq/vni4aL1JSpPHLZngWgJZbPOv19BdumE77vJQk37ZmnO9qM9KJjj371lwc3v/xXgaKGnT/83f/OK150wy0e/X+iw/Nct2eKmaYGioxmeUeuMsDLdqDLANqSjrWV4qo8wFQlh6RSGlvW2mmHzgS4VW4FFiDXvuGJIx4/+euzPHKghvFKqXhRSslLSSAhkG6rlsz/LlcM5sM1J5/TALO8o3F5LooSRdtU8eelibrlPysFlOXAU2wQaK7LouZEMVnjU5aFE1ZcfpOWa7CzRdmyZSHm2VfH3PO45sKiKny9YnkuAs88uFy/jAlRvbXXMeG6W76ISSp/UPpnKysoxbnwtWW6Dpop1rpNpjfdzN6rv+1TtfaV97/rN/9nweAA27fNU6/X2bWtzdpuj21zgjhWRLE7mRlzrP+gtvQhqoVT6zzvkhWY+d7uRjAbAtz9nBQ/VxI8CUq4hI72EnpW8Lsfb/LIUwGJmkjmyCxrKZ00EWkzA8/A3oLSjr3ZMTEWQmx88p+h/KTK3KWAypZfZCQywepVZt+gZtwKZDoJK9tMwKa+eFY+a6xMdXmqx40lwaCF5aarx/zkG/v8/G969GLAIxs4WMp2gkURZVc+tRGtwNWwlNibLGGVDSGUtvL9c5cR1/ycLRgZuMtyJTu3ShSSTQo3NOD8EoShZdueOn59joRh/t/kAK/VPIIgOLxja/NI3Kvtrfl9aoFrgLBGkEwwd3bfFfppokO6BO5yMqcaUJoJqWIqrytgz6oFRep5i7RK0EsYGHjfx5t8+EtNxhmYZdnzdtQoU3B7wlKeULVh1lLwtDMHK8RV/N9GRPXMCC8DO8dwkTKb1OEmxVBZj2caPB8alMqSTKoIKxBGIoSTKcaZ6ul7FkGqyROLLyxveeWAfSc07/tYi36EO2EZ8rJCJAmQypUygKECdBdUpkkhsptlPcgz9JRqFycShlUCsdYN+TEWRiEsrkYI0WAUBUe08g9DtO7fZ/Pmbaycu+MLO7f5H7jhqoDLdyyzfWFA4MXpHjGuPiXPnJU/Z4Xxyjo7BbcqA7XK0LLskmwI7qRg7gzcaSpeq5heCO/9RJP/8t42F5ezDGU5sCwylhl7K+HGkVU7dMrL/PpIf9JFWafJSw6KIHOb/iZRZrX+pPJe6eLbLMtY2uZkMmWfVX2uey9rdUsrDW06ZsIYVdquUBMnii1zhv/ww13++Rv7tILEZVRsklabpoeJwSRgLLGFcXpERhDbNAFjXQDoNtIqpr0m2U7OJcuvXCFZZMerzC3KcjHdVnwcCU6vSJ48ZenbOWLR+MBffvLOL2zfvm09gwOuL9OrfeaC6X3HWr9/o7UhPrOMxirNlJU6b0oXwNX22sI+y3Vl4XNngK5WDZZBXQooRRncmZtSBneqwWuWT3ymwdvf2+b8qufWKzmRrUylSWYLamHXDbDPJ2vxDMxd8rkr6fgST4uKcPzG2J6k8aL+hHVSBZ4udV9kO7PA0o1OK1L6BYvb3EIUNj2Myn/GKKKxZetMwn/4kQ7LXckHPt2EWsbgmbtS+nJGEcvSUCCTFl2Zgr1zTs4ynWnqsmw4ZXJFpl/XThBJJcEmXJw0CC3tmSHTMiFojh/xvOZnxtGgcmorAN9yybfz1n/xc3cJoR+4sLT5xnbN8Jpn1WjWPGp+sa+7FGCzhrzKnVb2uTNJ8vTJHFUCtfvzEnOLKrjVZFInMBw+rfnTTzc5d9F3fneZvWXJNUk1d3ZktmAeqFEK+NLvUY6xyrIk97pT+i4vn38bcNtnen/CMsz2plzXu0kJ8JlNV3FQ0u3/0tVETIBdmEwQFXQlhCUOLVvnE972bX3uedTjyBnf1auQojBDZAnkiRCE6Xs2q8qTooQRUf3WVmyAH/LG/rIxnoNcZlvGuLEQO7cKXvKciM1zMfXG8gOWD9z1kjf+308PcICFmauQUnDh7AHCqMfxsx47NkloZZ516gKUPlyV6VI2z6sEHWBFJYgs6/GqJZgFlUJMgjtO/26M8g1Hzmr+r3dP85UHa1CTBWtP6G5K0kRnPaGiSOZsNON73WAfWZIqkzKl4jBU74NJ7Z7VQleswJJ9UN4LZ0KxVORHxR5MM5rCuo2hNirKEvkNIPMkkTCyWHmtxZh0dLZxK3EyinnFzSN+9ac6/NK7pzh6Dhd0ZjbhJMhxq3yYz09Jv08Kdpf0EejsTe37vgAALQRJREFUW6XBqZCFSVGedVj2M9x1cOytlcD3Be2mZscmTcubZvO0x+btl63r8tkQ4P/6h16J1ip8/wfWOHtqQM2XrqAnH1sgKv9Q1X7aOEM5CW65IbidznbB0EbgTutMPMPxi5pf/p9TfPi2BqFId4KiqrkzkJcDyzJ7T3YXra/dKJ6zk1zG8kae9zMSd/kPN0hHlxM+5b+zLtlTZr9cwqSgzzKbqYuSs/iELy5yps8clQzkLuh0n9dS05a3vmpAYuCXfmeaE4uiQMwzgDxngzKTi+zDl0BuQaSBZ1qj5/6aoBqTZL8qJZxs6sMwFBw/G9CavZRLN78xNEkM/PQzA3zn9nlarda/u/Xmy695RCy/TDLC15lRv8HCmgWXQCVhk1qBhd1n1uvuSXBnAeaG4HZ765xY1Pz8b0/xkS82CGW69Zooy5MC3CID99MM71lXNUhJtmwUTGZAL7km6+TL3ySw/AaP8ijlzFlZp8NLgM8zmBVHhQqLYyckSoowQeam5L8JhNPmUWzxVML3vWaIVvALvz3NiUW/yJ48HcjzZFB6ckpMngVqGuu2+05vhHx2TvYdsizoJBHgiq3CyLDWjfC8Jvh7vtqe3vHvBoMhk4/JBBLtdpuH7/9yd8fmxoGt817Sblhqfrr3zbrAiyK4lOWKwlKT8ETpq9zA586YW6W1JuWAMgO31AlnVxT/4XcycOsC3GKSvd0tXgSWVHcAxlJ2SzZKquQAnmDtjdhalC7BN2TyZ0T2egZngsHBVfcVNeGiInfMBLCrK2/qmNjyEKHSKDhbmpRlFNYo4kShE3jLq4b8p5/qsHU2Sp2VuHBX0n7e3GWxlsRCaCBM3ZXIupLWzD1J0tdlN6V8TDZ3ZLapse7Xh6GlP4zpDEiGkX/g05+9rdtsNr4xwLMLOx73fmpuJnhstm2p1xK0zsYf21y7VdrNZNUZKYqkyqn3qmtS0dtpfXeR0InTQNT53YmGP/hkkw9/PmNuuYEkqUoTN50qK6Zav7f8um4dWbIGJx2UsiSZPHJQF3fG34bIJ+eHVGpPENWfKwmfwhIskj9Fxhkr1ulxmwO6DPJsc6sC3A7sCmMVSSLRMbz1tQN+5Dv66KRkH64DeXa44HgjkMeZZWjLlmFp+8SSx28mG2wMRIllODb0hiBV/bFOp/dTT9ddtiHAb7rllXhykOzctcM2GxG+V1h8xag1CqZWZZaeOFJNvT6JU2Qoc9tPlMGdIEWMVAah4Qt31fngFxqM5QZyRJbBLQppkoGbshwpd+lUXZTJxMLTDSAtsF79g3VZzL8ZaT/jm9ViLFECvUgBvL4YK9s4NQdKzuKlYq18Om029zADdMb0bvcI8/9r78vj7KjqfL/nnFru0vf2lk66s3Q66ewbCZAQdjAsoqg4g+Jn5MOon0EcFRccHBlnnuDMKDxnQEafC2+QEZ4oioqi+GRHWQXBSEhCyL4nJL0v996qc87745xTdaru7U6nSQjw5vf53L51q+ouXfWtX31/u1kvKDwuccm5Q1h18jAI58oXXhPkRpMLCAmUhfKTx/7xJMhN+ivXY1uM37y2VlfR3UooUeYS0zumy/6hCr/wHefWPL4ORpCZC89DEFTw5OqtYOWDKOYJfC/Vu8TuUxJV2tQI1hwqQmkuggS4OZgjQB2JXz2Rxee/UY91W3xdMGxTEzuoE3tN4qFRyTYQJjwfAT3Cp0wOcjXYte5qxEb/KJal7S0cDe+1QvUpZhLvZ8pekL59E6tdg12gLBPPkT9cQnNeldhP9KxLIZUHReiUKft/IVCUmhGJRTMruPEzvbiaAvc9kVMHdFRODkhQVDQnl1E0k+hkLW1oIl4mkOBEJ5AR1a1K0NiF6DCgsUixZGFx8PxVy+/y/OyIx5iOtIF59ZKw4jfrGxf2dvcxhCGJMsHsNg5xAx67vYNlQNp+bzoCuKNsQQvcTIC6Er98PIsvfLOIdVs1uKnt49Z95SztzYieRmxRkpiWWDSrpj1Rw72Xyj9J4/oQWD8ssemHWkESUc1koMfS7kBSO0tYyXFGY5sIZmq9zdU1F+cySVe4jnpywSAqDPPbQ9xwZR8uPH1ID6U8FF1RRRwVAZQEUEnRFRP9NHQl1NQlFJY2FyZTgMBxCOpyDCcsWXyw1Lf+P9qnThsprDAywItZhvLAvh+evGxm74SmvLoOaY35kyw5ti/R0oHxFKi51vg8Anfs+w6jAA9zBIgr8cvfZ/EP/6uIlzZnFGppmo7EOd4gyj+fcAmiRgExLA4Oi4agBrhtEKdch+kATwLclqdlZDQnF5Pa3KIeGujJGlgrbyXBs5USNevtBkHJ/BWLi9v9xo2/XL+WkeFpQO4ofh5QLOoI8JVP9OGdpw8pgFeBPIgNUQvkobRALogGuRXij4qJSfQcRmCXetS8BKE5eHXz4BcWj3qYndE2NjRPLA8NDXxs8uS2n/R3rc/7noDnCniOgKunB8ezb5LVN9U53TrlNdLYIk6aonYClQAc4L4ns7jmm0WsjTR3OsdEP+sWZIQioiZRvkktUKczBmt5SWo8V+FXo5okVsY7jpmLGxSTKtxb4fr0xaCdxUi1k4DlUSE2RdFhfElBpLAoi84ujNZR3c0qfRWqWAbn1o+qAIs7AtxwZR+EBH7zZDb2fwMxXSFIJFhJkCinPG41YVcIxb8ZiZBmnAriUIHWtrZBSvGxyZMnlscN8MpQj2ib3P5szpd9q59Zn/fdEL7L4bk80thGU0feEiK1wShTfm3DxeMckwS4taEpGcH/fTqDq2+ut2hJLWPSgJxEuQom1yTKELSM4TSAk5HLVM/BCL8kdQHExDyiJGlNniCwKSKfwnQVoM0JlTX2i4I6SeCaiF8MYqigjSRRT+7YhSgjX3jkadHBIJVnosdI6g8mkup9ZJS+wLkh3ByoAAumB/jap/ogJcEDT2XAIWNA21mIEfiZArlUvNrwa9V3R/nHJTFeeWM/mIZTqskRZQ7OOOP0vhkzOp49eLBXYBQZXYM3TgCh3oGh3vLFMzrnP9q7/0nX82jMu1lSSzM7uGMFceJnC+CRURkDXDKCh5/zcdVNRby8zUuBO27UY3NuUJJMpCLqn2JExvneCa+PBXIbzGk3YA3A2lq9moGQBKVJvGmsYjQ2GdkAtR8mwBMrdDu6GYfzSar1HpEEEBQEImqur0Z0qzpHQAXJhGU0Eg1WCrU++rcqEgumB7jps734ZAg8+lwGHEhq8mhZ6mAPhSQq6lkm2kVIVWdaLgk4VRdjKEhcjCKAgAMDwyFOP+X4YGAovLi+WDyQyeQwmtBRNzIfQ32bUd80Y1fr5Nmbm5s85DJDyPoVeG4A1wnhMh49O0xNT3ASrYvtTlTccg/a5WYc0iF44A8+rvy3emzYlokzA6vAbS3r7DKPpLrC2m0VEm7B6oAOsUCfLFVLZg/WUsYkpeVfi6TzT8zKOBSPWLnb5YOpgIhpbyZsg9Pm6SIVCIo6Ymk+bgd7zDZh+cmtAbTC8PIKxZxpAb75d71YtaIEFnFyK7024uM2N1duxIoEhjgwyAlKgqDMgWFOUOIEJQ4MBQSDFYKuIYBk6rFo8fzNC+Z07Fqzfhsyvjt+gKuTyFDqvn+bw4Yvb544B8XcAHKZMnwvgOcEcJ0AjhNao/k4kq3VrA6vzFrWrdWYKyAdgoeezeAzNzZgw3Yf0qUpOmKDmyXAbULxkUuQWL0Fqc3B5ZiMSls718r/HjWDsKYKPwyE1wB8vGx1+NVfUuVajHzlSaMy/VoIEzyyo5mm16HZxwJ9BG7lD0/6yfWjQjFnaoCvX9WLs1eUQLlQg1cTOeQmj9zKLZccUkc+yxIY5sAQJxjkRIE+JBgICborBHv6BI5bOg99w+Hl//mzp7YxxnAocQ61Q67YAR72g7K6Pb378PvBV58+3aPD8F1P8SGqD7+VIqsinSbRKubfhFjam3Awj2N7F8NTq7O49pYCNmyrAW46OrgT/m7j6ya1AV2txeWI4DUaO7J1LI0+MoJlpDPSBRCjYTpKEU1s1EZkamc90inhNjSa3tAUQ1miKp8UlTGVP6CavkQ9x4F4XLEix4QCAmpgJ4k4tfWshULhdW57gP+4qhdf+q7AM6sz2H7QAzye+q+Zzg3XySckHqsSEsXPTcGIqnwjcFkZs2c4OP+0mb//qwtP39M7MIyGwuj0BLCKjkeTL3/5q3j3RWd39Q439B/spe+nwSbUFxSvdqyWxXGhglU4bK2L3IaEg/kCG/a4+MotRdx8Vx227/NGADdLgVuF4WOPie5KZWtvuw0bjcP0iZEg1jOpuT4uDib6teksmxjRQkwSvilAJvE+hMR+9NTrqtZw5ncgeVehh3hOTpmoQcMSnyer1tmRLNsOsW0K++Ij6as3dckTAUxo5DjzhDJa2zjWb3TQ1a1PSPKytjBvu4vimLyEaW5E0eCXcPUHF+HclVP/bvuOVx6f3j5nLNA9tAY3MrFlMUAbn23OB/ew0u6LPPYCXFcg5LZLx7hz7HZucZTSGJcsI7Fxt4Mvf6eInz6YQ4mzpEGZ4N2sCtwuGdnfbY/bjicmpzwotva2PSr2ya2iLVrNJlRymnzrky0TL9OLCTHa27Q3S9d114xw2j5x41KzjFPjeYhTT41xqbrPmt8opFRdp3SUUPUzVKF+oiuEIAmooEqx28blCJocAGgITGrkuPSCIfiuxHXfKmLTLk8NPopSBll8AHR/8ihhPjowADgDBMOSZXMxd+bx97R3LHm2v7tvrLAdO8CnTW1GMLx1m9N28qcPbn6A7d7nvIvRXkybJIGIm5GoeDTOLDQ53rr7lAds2uXi2u8UFLjB9D9eS3MfGtwmkcoGtz3HsrqvX0qrofZzGpFEJo3Jmjz8UGgeTUbyhSPpFVGAqAa8kHrMNjEhe4t3I247THXhhJBSN/DUEUIBpRGEsl2Eif8LClABKVTfxYSffESQS8gy4DsCF68aBiRw7beL2LzH1UUTen9DT+yG4sb6EByuFJg8sYK6uiJaWnL3nnvmyk+/tGH39kVzpxx5gAOAm+3Aw08+sj3jn7PmP39QftcLG/6Ef/1EP1adWAYNHHDBorOkQC1BCYep6qGexNZ9Lr707QLufjCHMpjyAZGRvCWHBred002IRLqZj9HKJLWfwbANeIPcKiPUgLaWJ8X8HRXU40B85DFBNaDN9ihIpC8As17z77QWjwBvgkDEgF7jU4M8Cvxong5BQTXIRRrMNUAuATDKwUMg4wi8/5xhgAD/9I0itu0lgG9+KNM+c6tAUApAcjhhgFUrBnHtR7pRaFoGWly8Zv2mh7YvmnvOYR3GwwI4APSUO9HZNu0Gr2XHzL3PD1zyiRu345ufPYDzTqjE1d8wwROuDEsmUZEEz//Zx7d/msdPHsyhYsqkXzO4ZUxLbFDarkKkwG1pdBt/5iJI4zIJ+GowV10MhwFiG7zxpyWT/ZPeEyj3IEG0n7TpCdEJVVorJkFt6C2JKIcBJqUy+gyhNTelgBAiArnR5HIUkEvTblmq4nQeAp4jcMk5w4AAvnV3Hi+s91HmNH6fxeUhJZjgOGfFAG7+dA9mTmmFzC64y20+4QZgy+HCdWxGpi13ff8mTFpwUnnh/Cn3rV6388yd2yvtXX0lvPfMCkg0F1cZoIRwMEdiGAS3/zqPK77agD+u9xGAWsUKRwbc6TzvZCQztVxrXdRNiiBtcBICEGobi8l11NpGaNKwNA+aeJ32xacMS+tiS6yn5kKyfPfU2se2HWrSL5K4I5nPquUitW2R6tfJK9k2PBPeJ72/lIADifmdIf7irDK6eoH1Gx0ENrgJUVcIIcgwjus/3oMT5ngYKLc/7uTPfl+5748DfmHV0Qc4ADz2qx/gsg9/KjhzxbxLu3rXzrjqL7djeosDLlSrNzNKxPEkBgXB93+Rxxe/W0BXvwtB7QxAe4T2kQS3TADXhPKJZXxWgdzyiEQAsUBvXicvAKJBlwQ0HQ/AEQN4JJsh4TlB6rdhFGAbF2cKyFUUzALoawG5SXOQGrgG5EwCdVmBU48LcHCAYN3LDoLQPlEqU1RIhp17CZbMnoipsy7fSKh/a37CBeOB6uFTFCPLFsyElOIPc648/uT27KbsYEmF5F2nAscJwKjExn0OfvFYFl+9tYCefsfi26TaiHyN4GYRIGQCoCOmxKZPpnWmEkCoAZxa7zmSEgd5SIKs2PzbUJvYg6KLwSNOrveRgD0CRIJEDabideozDA+nBDHXjjg4ICz/OLXoihiBrqiwvumeBYAIyFCgqY7jn6/oR8aVuPexHDbu99UxdB0Q5gOSYP32Al7ce9rw8uLcP9Coc+fhy7gBPnNKHlIOfrHScoF87vHNn21w12XqCwHqnRCOI/D0OhfX/u8iHludQTlkCp2Jdg72cnUQx7R68EyjHpJKpEqE442WticnW5qxBvdOBGLS2swCbbSuKhgzCuEeD+BJre+AZTTq7VZBrpQEpkUxSQA65uRGe0Z8XFe3JzrXAroNCIlrFhKGJ1TQx/B4ql2TpuXDIQ1PVTcgoO2DUKApx/GVv+3DeaeWcd0t9Xj6JdUdIeu6KDoB3nf+zNJ5Z53/9e6+3D9OaMyMF6bjoyhGrrvuK7J1xhm/H64UWH1OnpxxDrKGwgCeeRn4+2834JHn8uDQ9ZM0De4aLkFKQYkaCuVrcJsgjilgUF2pkrSEpcBtAiYjFRbX7N5KSYIWJPNXSHKZxssmqJOmKIbCjImiwKZDKcpi8euq99TYZiiBKWiPy+osIxnJu5GJ0abvTjZ1iQba2Le1Go7+WEGY/VULCxUqMVewuthcB5g1lWPOtAAvb2fYuT+L+oyLs4+bVLn0gik3NGV3/vPkaUvC14LRcWtwI2cvq1Q4pl2fowcqPT2vfPn2H2boPU8U8KdXfCCjs8eMKgGxQJ4uGo5piU9q55fU8nPbtMSOSlbz1qTmjk5y+pHgJqkdrRMaz8BMnfiUjLRegcb2jFgfb2njWppd1toXSqMTo6GN69C6A5nQPQA9GcIoWQkKFeAxbCBK5xZqX0qk5ScXlgfGog+pmxqhKr1VVaOZgKAac0gIBS+rA7RyPsHNn+rHXY8JPLp6hpjUOunLpUrbjfc93lN5rfg8Iuxx64Y7MaHRX3j/U7tXX37dC6y3nAMnAlKUdWWHGepD1VGxPSc6ekmJKtrxiOrdzUg6/F5rvHayH6Id6o40NGJ6Uiu6GWtqUmV8jhiWp7D65Nn9vs2QKas/uPaqmGFVZptpXmPSCuye4cwUduu7FTEXN03XxOo7l3GTRlHceHvcQs82su1AHBBHna39dXcydSdJ9pRUReSpyXiJvu5WX0lTpaUj2SY+AiBK2ApDHxIMPf0Cz+16Jz84PPs4jw299DcfuOg1Y/M1a3AACNhs5CcUXskXWj9++XsL3/7Z/c/THQMUw4FQ2WMJgmbUqK3JFfVIp706FrjjSGUM2gSIqQ1o2zuQ7BprX9UJbUOSP9E8pW7Er0ElJN9Yi27b2+yItR3BTu+kJiWkt5LoE9T3KM1t1hrNnWxYrPYWIFqrE1AdmxdRoJFASgFKdbgdEpJYswOtbzeDWASU6zSOcpttaolzB0MlH1299aibcJo49fh5H9/RP+2Veu/geA90QsZvnloyu3M51r5EK+eddcqt7S3u5+Z2NKFSCQEuwDgHEVxHqKwkDaNyEfcOjKYtkLiPINPPxtBMpMGmOHUa3IlpBjWMy+g5ZXBWYQWjXAzpDxmryBFeylH2TySmxN+XbvsWpdfaOeSIDUvIdK54Mq3WTNUz7SaiKXsSUQ8VblpOVPVUsdo0S6oDf3GbiyjiHNUOCBAECEkrDvYWPzdl+mm3zmjmlQVzTzgS0DwyGhwAFi6ag63bd/EPXvKOTTL/TP+abfcXgmA3jpszgOdfcrC3x4M0w1WsxpgkoibKoFRj/bQWp7bXJKW1SRx1JKllG9yJRCokeXb0bK2DtV9axuwiHAfWiTy896TfHy3L+HcaoBMZOxtj3U50u2KT4RWTecXb1dA/IuKgkhQksndUJJUqTk/Vt8XfoSdI6BbNagoc179GZZXu6wWeXeNiQUcFTY1NmD1tZT/NvW3T4MBu3jq5c/wHIyVHDOAAkMtlsWlXcO87zjr9EzPbyl8Pe+5sWr74AH76kI/rbmnE/gEWdyglFASqJMlFPFbEaG6HWJ1ga7VXgwa17VGAQor9uqYLEKNjcCz4JKNsiPuYjEFix8LovMXaXRK1cxLYJOK2td4TE5IY4pDaPKKw8s9Jwi2qEwq1J0jqMYDmuxQHh36neosGt9BKBoqjR14YJnBgEPiX2xpx52/qcMGqenzury/sOnHu2Z9B0HtvIOvGdtzGKEcU4BMnNOmDfeCOjilnO8MHghvC3h+3fOgd27BuywC++3MfgfGkaNeWT/SsSmpNGabWzHhqG4K1OLalsfXvSLvRIiEjAT3+Ox6KTQ7xelwia6+KPCKkxvdEF5bUSYca0kajy+Rs4siTojP7rNnWkZcI0rg3VTEwgYSk2vUnJSRVPhjjneHRgZTadx5X7APKY/OjB3K47ZdFtExpx5Ilb3+1rf3Uv9+0I7hjVnv7kThyCTkiHDwthExAWBG3efXnX8Nyy18lYQZ/eWYZdfW6mkO7BR2qCxZIPHnB0fQk4uAknn6W8DZEnhWJdEpsGtzpyGT0O1PPY/rfRnxxyNWHLXIMtCWdlCWR5OK19k+Wv+kegGkOrlvAxXycRsucU3BO1DgSTtXDLAsScXIZlbepXisAQ28vw92P5MCcHFadvvDVKy455RrXDW+b1V48QkctKUcF4ADg+g0od999K2jj50Myr2vtFhdh4MPMiTfRSgNm5ffW4GYa7MzMjzfj/UwnLRnx86jqJuVqS4P7UPxkrJz7SIH3cKQK6PaPGCt3Txu10gK5TAI6Ht9OLaNSz2kSMYij1ymQC0EhOLO626rPCTmD6zqYPS3EgvkzuloaGz7/tdseuHVSU+GoHbsjSlHSkp/0YcjeG2/fOzir8szmxu8Ml7oLNOcpF1RCa6uHy2zviU1NZJURmfBu1DjhtaJy46UgtoxEk1+PHJVD/ohD7GJ7ajSTiSqIiIyjlQlnV7RsClmICgwR1eaBSkVZqH10uaI5VFAIqgAfAuCCwnclPvYXnf3/53eTr9y1d/BHd37t0qN0kJS8plD9WGR44mVyzc7mtQGv31jI+u96dX+3UxYMlKrJIxkm4emhrI4j9QwWzcOZVVeZAn0EfopqTk5SgLY9JaimMcR6Q3VHWZLYr3o5DsObkH26FrM6wxA1H7TGb6jVuzzxoNWfUVWql/j/ifX/WUfJAB7VrZiTLZhruRbNFDhzIZjvt9v9SQwOuxBsUamxafpHTjvO+8l5xw+Kf//GfW9ugD/x259h5ZkXy96wZf3yTrp21bLg3VRucTbszCHnUWSZhO8AHpNwHQVul1VPH66Vz12VOGW5/myxt9sAj12FI4NuzACHnWdSnTI7VoCngXkogCf2pZZ71Lrz1bJJ7Gf9ShuhNpdPNumMHrD6G9oAN+apATeTcChHPlvB/c8G2Lh/aamuMOPS2ce1/HzwIOeTZ19xtOF39Di4LV+9+hJcenIPn1W89Gfnnpq/7Pi5HUOu4GAQEf/2NMg9JjXINf92Yh5ueHlao9eKVEZAt05i1fSEaHF8TuijwUCqacU4v4WkHmZ1DVei3ak2aoxvBXk4V49QP4KQIOQUQUgRhuo5CBkqIUUQMASBmgxhjFUuBDKFuUO7+touO37Z3/zsh3cJ3jb7w0fh6FXLUdfgRr5/x9245h8bcdyJJ61dvopuAdg53d39mSyTyHmA7yhN7uqHSUBkWvsxk8dh5XcYrVh1Yu1FmeLsaSoT3aFJ8vXhavBIU8fLh6vBa2nlqnWoXj9SU1H74k/TNHMsEi3irIb6dgTT7kYb5ZQnWi/HA4KFpikqtUL3sfRn9rZOmnnFuy5ce9dNt+/ERy/70OsFu9ffKfCxL92OumIOnIvLguHyjeteXNc82NeNuiyF56gZ5+aEmINfy5CMq8lVhXhi1AWqw9fmhJpnGyjJfibpip8aCVZ2NU86kcpQFEqifirxhWknYqWqiRLLVu6NyaA0620XqZVQRbVxnkiKoiqLLwa9TBwHpI6TCe9Hna6E4dyW1yUBnOTBJUTNcvIcDt+toLExjynTOg/m8+5VzCG39/aU0dJ55euKt9cd4Eb2vdoDz3U+8qvfPnH9Pb96uKU01IeM78BE801HJjmCV0TKZGN0IWQ80wXJShXzlDY47cBRErx2qZudLVgN8CRwiXVRpABubSMkZVdUAV3GFMwCOLFiAyajkGkgxxmIMnp/3G0s5ubmpKfD+wbASmurZ57KQ6kGeKxkomJzKuGyEI0NOcyaf9arbR2nfkGI8Ht+pvGY4OyouglHk0ktDejvH/zee995Osn65KsPPfRIS39fHxxHt9flAiHXZVKIqYARIdVJCxEVkEfur1raO6rmAhJn2EQEJWSkwSKHwFj+ETLapkN/QpVZMMoXk5rvtO9wMrmcArcd7bU/xoTv4+b6hjvH/FsYy9NQH/09QgBBSBBwqpSM4CgWGzFl5hmvtnacfI2EPGbgBo4hwAGgUMhjaHDw1vPOPilsKLg3PfbY4409Pd0AAYaGCfqHOIA4f5qZvhDS1AFaDd71Z0ba2771yhjTJrGJUkRURxBVEKsrwqx+IzHwow8fA+rHZbIezufWMCBjwzo15zOV563zqXRNJkn8SwRWjafW3iEnCEPDxfVdzQTbdHltqcLQNwhQQtHcPAHzFp/cPWXGsqs5J9/PZg/dP/BoyjEFOADk8nmEQXDHiuUndO3bu68z64v/ufalp93nN5QxOOygkKFgFHAdFdqnVIGQcwCBiApekzMVkxwd1gVgqqZM9YqqRzTYjZM8bJCbz49BSKx7tPJF2zIu3jeGiyfGs4xeA7aGNvaFXeRgFTgg5uG6nBPC0t6R/tZcRgiCIKQoV5QWB9Qxc5gEHAHHkSjmA0j0Y/1WDyetOCVoqvc+P2fe0k2el/m1543e2vj1kGMOcABwXFds2rTx3uWnvMsr0DVDTY1D33rqlRdI/xBoIQswRuA6BJ5L4DDllQhDCSklyoGe2yKTII8N0JhjEu1SMTcCaJBL6P4zxLoDkJQmJvEdAKn1NVccBsrtFNfqjfF319olobmR9sLEVTdRNFjvpzi3rqyRxhslQVU7V9U1WEpUAoLBEkUYqs90HcBzlW0hpUQ+E8DxQzF3yUpZbJn7yfNWzfqvzZv3Vzo7Zx0bMKXkDQFwAOjsnAVZfqECr/6Ospzy6LIFlfft33vgX3q69sJ1XHguQdZn8D0KxyEQXIJLia4+gXKAhBFkgBgPFiVRCivV4KXWmA3T+9GuSDcflDasUm7laIut3FObRpQqYFtgTn+3/X8lPjZBUXQM0i4xS4HceJCkHgsC++KXRGdySjhUggtguFuiq1eAC8B1CDIeUYULICBEgLOpaGmu/x+9mfafcK91x72P7a28+6y5xxpOkbxhAA4AxF8GAMO33Hb3ho7p866f3rrX6zpY/8VNW3YwSjjyWYa6PEHOl6iv48i9GmD1VolKSa1zWOzzhVDGJ9fTuowIreEkCKBrDs1kDVV8JRFNTtDEfSROTVJql6SeD1dsVlQjJlVdmJbqb25HM5WbUFruxBjk5rOIIJBclQxK3RSfEgnHEchlQviZEI//OYtd+zzU54CMz5DPMTAqkc+5qG/u4F5+wr8uXdxyvftyD1984tibYr5e8oYCuJGPfvhi/OjHP+cf+OBffWn33gPOgw///nPbN6/x6/xBFHMBinUC0ycNQdAe7BmsAyp5eC6PAQ4FZC7VXJdQxMAxxqoUOrijCTgxmtzW4EZqpJ/aYCbp9Rbwx+JJiT48oZZllUavdvAhMirju4s9NjGeUUppPNPUeJo4VyVlQagUAaD6ozhMopgvI5PtwbbuRmze6WB6i0AuwyGkh9aJTTj+xMXl+YtP+fdcfsKXnnjsXpx65nuPNWxqyhsS4ADwgfe/Fwe6+pBx5Bff/Y630T27Z568fvVvaDHXd7KLvU5zQxnFniGEMgfBFYwcBviuOntcAOWQYqCik/p1Kq7p8uRQ5Uc32ReEamMzZawCGJ12WMGjcaluG8Tmda11BCNycHWFpqhJpL31wF5mzy8V+s5FgRIwVHJRKqugtu8BvuRwmABHgIHhEPv6JCgCzJreFPq53FNnnf1OMWvWzKcqZfLFoNIH1zs6udxHQt6wAAeACU3Rgbtm1ys/xkkr5hdE2HNLZYi9H8E2urc7AOcMeVflsmQ9glyGwHUoMhWJnX0hdvQxeA5DziHIMAmfAa7xQlCl5WEoijQeFe1TsYJFiRA5kLQl9UZioTAdFh9JbE5tG7eJoQf2OsR+ayOJ5KpEJFTqIJEZ+cjhOmpomOeGyHgB9hzM4cDOPIZKHjxXeaU8R6ASOHAchubCMOryLqbPnCKWLOq4e0JT4aOPPrul/7ilS481PMYkb2iA2zJl9vtRGVzXT1nmynB41saNrzyxaPWO3ov6e/ejtYUj5xPUZSmKdQz1eQcTGkMsnteFB/9UwZPrGlD2cqj3rHA8kVBedoDCbodmhfvNl6fBbN5HUjycpFjGGMUAO3pLCtTSoiyJ1APY6Qcy4SI0/Dt+qMG9rhsilykhnxnEU+spHn6uDqUBoLmeoKGOQUrAcyV6Bxhamwk+evF0TH6m856Tj1+xZsGc1psHBkv9y5fMPtZwGLO8aQAOAF5+PgAcePTZrf9ULH5o+onLNiKfeeWil9euAQn7kMv4aCy4mNBAMGMysHgWcN7yHlx3R4gHVrdhmHrwqQQnKudF6HQAbmlwo8VHbd+gc1DSCVy2wXe4kghMEZP4JJPeHdOUIPVe831R8x8Turc8KIaeqGG+ZTyyWuCfbp+I7oNNWNYuwHkAIVwABA4VqKtrhFM8ESvndd5z5qr5nwEGthEy7VhD4LDlTQVwI2ct78DuvV3b3vO2RVd3tubueNvKzk9v2rjhjP17tiDvDaGxSOE6HIPDHpbMYjh/5SAef6mCgHt6lnvsJ48oioirxtP4JvpvlA2IdMJWusVwYmHMEnlOZDVNSUw3TtuZVkKVrbHNMF5immQSxcUDHuKBZ7JYs6GIuZMpwlCgpz8E5xyFuka0tS9B56yZv8vmsjdTv/PP5eFwWyb35gM38CYFOABMbm0CgI1Syo0A1jzEeNupKxZ+d6D75VkH9/6ZcaEMTamn5RJKQPWwgsjTIgmkkFEo32TwGYSntXIiVRYxsJPL9rjBsUmkvS3nSdUYEtQGuuHoxjXIqICjDUnjHkT0PvXLTAjeoQCFgJACwxWG5Scu5ScvX7DRd8Mrps48ZQ+ADWQ8t6M3kLxpAW5En4ANvT09G6Tk5w/0OlNmzVl696aXf1esy6/Nb9gB/ObpIvpLPhpzEj6T8BzFagNOIKA6aymAKECl+bcN7ERrZpIGOXDY6LbETjMwvvkI2LoJZpx7Y0WjYC5QzbWZMibVMCldCCwpKJUoVxjq8y7OPSnAI6uHkfXbcOLSyYMXvv3MvnIlvLhjRvsuh7Ftb3ZgG3nTA9xIfUMDpBTb6huadgwNDi6cPV+sbCyccMv6TevrCsVdDZObDkKGAi4RyLkq32LfAMFQSJB1FEwYkRAsmaJbs80yDLCtGkya1OJGolY6lp97JOxEVTVQvUokoAe0Ki1OdNak1Yc+8VsVBZFwXa4nUYcoBy4ODuZVb0LC4boUB/qKmDG1pf+Tlx3fNXXyUqelSC5fOH/m03V1db1SQlD61gA3MG5d88aW4YFdkMShWXYn6an87V+Xh/uuevjxX1Z+8OvdpNQ7PK8pH2Tq/GGU6ABe3EWxdVcRk3ISBV8g56sKo4xL4LmA56j8F8dRhQ2MxXndjJLotQJ+dR6KuRgoASjT77FaW9RKZSGIc8QZi/szUqpeO1TCcSRcR8JzBHxPIONxZP0AuWyAXKaM+rohbNk7jLVbCggrreiYnMXkiUGJ+Vi/pWuhu3TxmXe8/UOX/dt3b7jdn95WLJWDUMyeMflYn7ojLm8ZDW5Ltm4KAIi+QQHHId+D597mewxnr1jImuvz3/JIZU7R3X7a9InPs2/9YgDrtxTRBQ6XAjlP5WWoFF2iABbVgSanFsdFEHEZWrJCJu7dSnQmVzohCkil+NqpvdHdI9biQujuUVxdNJyqVAQJ5dd3WADPGUIhF2DNVge3PzgF71w5i69sb398wgRnAw97Pi66KpywHO77rx/KjvbpQ8f6fB1NeUsC3EgxH+WxGkod9vX1fxQ000j5nq/86YVhb82uHXz+vLbjcw45odS9H5VKP1wKZH0HjFIwqpK7HEosn7PxWJBIk0eN44VJZFJldJEFi2Q1j8mlltKuSoovEDM+UhBFRYwbU/K4+kYPIQGjQBgECJ0KXNdHoaEJcMM/rlre9Xwv6WTvPueiytzpzf8wMFTuLtbXH+vT8rrKW5KiHI7c9IPHQIAzhkuV81h54GJZGZxbKQ9jy+aNcB2OcqkMAg7fZwAcSF0s4ToErstUnjqLwc+FBOcSQajGnAuuAO4yCt+jyGQoMp7qGgCi8tpDDgSheua6gknRE6K6Dbgq+EIpQaUiUK6EyHoSfobB93zU1xF0zOxAPuejWHBfbmygdxPq3w/gd9nm9xzrQ3xM5f97gBvZ92oXAJwfBmHn/gMHxQ/u/KmYOmXCjKbGpi/s3r0LjUUPvT3b8OL6bkjpoi5HUajLIJthcFhMPUIBlMpAucJRqggEgdDRQYK6nIP6OoZCTsJzlflZCQhKFfWeoRJHGMY+bcZUemrGC1GXlQAC9JQa0DZpCuqyHFMmT0F3T9f1vHxgy6lnvYfm65ooY84mAL/N5JqO9SF9Q8hbmqIcjkxqaQKA35rXe/buh+/5Dbt2737K9x00FPxgalvrZ+cvds+tVBy4TGLjhhfByCAIUXWJOR8oVwLsrwxhuCQghER3X4jhMpDPEFDiorHgoJATqMuGGCoTDA67IJJguCwwVKJwHBcZjyIMJQIu0VJswIrlS5HPEnDJsXUvfyDHyE2FnHBnzp6HpubW34VBpadQP+FYH8I3pPw3wEeQttaJANAD4JcAIMNXAIL1DS3upErgCMlD7Nu7FTIsqS6qIKC0HJy4fOm1YWXnhS9u8IKJzRQ7Xw2wZbeDQhZoa3YwdRLDlAkVFPIBNu8hGKJZTGwQwB7uzio2/uqFF164tpD3XSEEBOfIZuvQOWs+MhkHIec02yj2EYIti+Z0HOtD9KaQ/6YoR1C2bnwcAJ0Ull6qf3ZNVra3Odi+v4J1Wz0UsxKtTQxTJlJMblYAX7ONYPueHNoncqzfGZK5HR29Qsh9F5x32rH+V94y8v8AUmmHr38Fsw0AAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMjA6MDI6MDArMDA6MDCmezEJAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDIwOjAyOjAwKzAwOjAw1yaJtQAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 45242599
{'hecke_orbit_code': 27021597797779268, 'n': 1, 'trace_an': 3}
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id: 45242600
{'hecke_orbit_code': 27021597797779268, 'n': 2, 'trace_an': 0}
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id: 45242601
{'hecke_orbit_code': 27021597797779268, 'n': 3, 'trace_an': 3}
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id: 45242602
{'hecke_orbit_code': 27021597797779268, 'n': 4, 'trace_an': 0}
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id: 45242603
{'hecke_orbit_code': 27021597797779268, 'n': 5, 'trace_an': -3}
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id: 45242604
{'hecke_orbit_code': 27021597797779268, 'n': 6, 'trace_an': 0}
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id: 45242605
{'hecke_orbit_code': 27021597797779268, 'n': 7, 'trace_an': -2}
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id: 45242606
{'hecke_orbit_code': 27021597797779268, 'n': 8, 'trace_an': 0}
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id: 45242607
{'hecke_orbit_code': 27021597797779268, 'n': 9, 'trace_an': 3}
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id: 45242608
{'hecke_orbit_code': 27021597797779268, 'n': 10, 'trace_an': 0}
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id: 45242609
{'hecke_orbit_code': 27021597797779268, 'n': 11, 'trace_an': 2}
-
id: 45242610
{'hecke_orbit_code': 27021597797779268, 'n': 12, 'trace_an': 0}
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id: 45242611
{'hecke_orbit_code': 27021597797779268, 'n': 13, 'trace_an': 2}
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id: 45242612
{'hecke_orbit_code': 27021597797779268, 'n': 14, 'trace_an': 0}
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id: 45242613
{'hecke_orbit_code': 27021597797779268, 'n': 15, 'trace_an': -3}
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id: 45242614
{'hecke_orbit_code': 27021597797779268, 'n': 16, 'trace_an': 0}
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id: 45242615
{'hecke_orbit_code': 27021597797779268, 'n': 17, 'trace_an': 10}
-
id: 45242616
{'hecke_orbit_code': 27021597797779268, 'n': 18, 'trace_an': 0}
-
id: 45242617
{'hecke_orbit_code': 27021597797779268, 'n': 19, 'trace_an': 0}
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id: 45242618
{'hecke_orbit_code': 27021597797779268, 'n': 20, 'trace_an': 0}
-
id: 45242619
{'hecke_orbit_code': 27021597797779268, 'n': 21, 'trace_an': -2}
-
id: 45242620
{'hecke_orbit_code': 27021597797779268, 'n': 22, 'trace_an': 0}
-
id: 45242621
{'hecke_orbit_code': 27021597797779268, 'n': 23, 'trace_an': 2}
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id: 45242622
{'hecke_orbit_code': 27021597797779268, 'n': 24, 'trace_an': 0}
-
id: 45242623
{'hecke_orbit_code': 27021597797779268, 'n': 25, 'trace_an': 3}
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id: 45242624
{'hecke_orbit_code': 27021597797779268, 'n': 26, 'trace_an': 0}
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id: 45242625
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id: 45242856
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