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mf_newforms • Show schema
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{'Nk2': 8112, 'analytic_conductor': 29.913968372910492, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [507, 2, [170, 340], [2, 1]], 'cm_discs': [], 'conrey_index': 337, 'conrey_indexes': [337], 'dim': 10, 'field_disc': -804824998311870000000000, 'field_disc_factorization': [[-1, 1], [2, 10], [3, 5], [5, 10], [575503, 2]], 'field_poly': [27648, 0, 44100, 0, 14700, 0, 1645, 0, 70, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [27648, 0, 44100, 0, 14700, 0, 1645, 0, 70, 0, 1]], [5, [31632011568, 0, 4880780280, 0, 76029795, 0, 441955, 0, 1105, 0, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36028865805550075, 'hecke_ring_generator_nbound': 19, 'hecke_ring_index': 288, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 8112, 'analytic_conductor': 29.913968372910492, 'char_conductor': 13, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [507, 2, [170, 340], [2, 1]], 'conrey_index': 337, 'cusp_dim': 168, 'dim': 76, 'eis_dim': 28, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 68786586107, 'hecke_orbit_dims': [2, 2, 2, 2, 4, 4, 6, 8, 10, 18, 18], 'label': '507.4.b', 'level': 507, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 13], 'level_radical': 39, 'mf_dim': 196, 'mf_new_dim': 76, 'num_forms': 11, 'prim_orbit_index': 2, 'relative_dim': 76, 'sturm_bound': 242, 'trace_bound': 17, 'trace_display': [0, 0, 0, 0], 'traces': [76, 0, 0, -296, 0, 0, 0, 0, 684, 32, 0, -48, 0, 304, 0, 936, -316, 0, 0, 0, 0, -408, 80, 0, -2100, 0, 0, 0, 308, 528, 0, 0, 0, 0, -1040, -2664, 0, 224, 0, 280, 0, -1296, 160, 0, 0, 0, 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mf_twists_cc • Show schema
Hide schema
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id: 46600445
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 337, 'source_dim': 10, 'source_embedding_index': 10, 'source_hecke_orbit_code': 36028865805550075, 'source_is_minimal': False, 'source_label': '507.4.b.i.337.10', 'source_level': 507, 'target_conrey_index': 337, 'target_dim': 10, 'target_embedding_index': 10, 'target_hecke_orbit_code': 36028865805550075, 'target_is_minimal': False, 'target_label': '507.4.b.i.337.10', 'target_level': 507, 'twist_class_label': '39.4.j.c.4.1', 'twist_class_level': 39, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 46600446
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 337, 'source_dim': 10, 'source_embedding_index': 10, 'source_hecke_orbit_code': 36028865805550075, 'source_is_minimal': False, 'source_label': '507.4.b.i.337.10', 'source_level': 507, 'target_conrey_index': 4, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007817797140519, 'target_is_minimal': True, 'target_label': '39.4.j.c.4.1', 'target_level': 39, 'twist_class_label': '39.4.j.c.4.1', 'twist_class_level': 39, 'twisting_char_label': '13.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 46600447
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 337, 'source_dim': 10, 'source_embedding_index': 10, 'source_hecke_orbit_code': 36028865805550075, 'source_is_minimal': False, 'source_label': '507.4.b.i.337.10', 'source_level': 507, 'target_conrey_index': 10, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007817797140519, 'target_is_minimal': True, 'target_label': '39.4.j.c.10.1', 'target_level': 39, 'twist_class_label': '39.4.j.c.4.1', 'twist_class_level': 39, 'twisting_char_label': '13.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 46600448
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 337, 'source_dim': 10, 'source_embedding_index': 10, 'source_hecke_orbit_code': 36028865805550075, 'source_is_minimal': False, 'source_label': '507.4.b.i.337.10', 'source_level': 507, 'target_conrey_index': 1, 'target_dim': 10, 'target_embedding_index': 10, 'target_hecke_orbit_code': 76561193732407803, 'target_is_minimal': False, 'target_label': '507.4.a.r.1.10', 'target_level': 507, 'twist_class_label': '39.4.j.c.4.1', 'twist_class_level': 39, 'twisting_char_label': '13.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 46600449
{'conductor': 13, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 337, 'source_dim': 10, 'source_embedding_index': 10, 'source_hecke_orbit_code': 36028865805550075, 'source_is_minimal': False, 'source_label': '507.4.b.i.337.10', 'source_level': 507, 'target_conrey_index': 1, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 76561193732407803, 'target_is_minimal': False, 'target_label': '507.4.a.r.1.1', 'target_level': 507, 'twist_class_label': '39.4.j.c.4.1', 'twist_class_level': 39, 'twisting_char_label': '13.8', 'twisting_conrey_index': 8, 'weight': 4}
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id: 46600450
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 337, 'source_dim': 10, 'source_embedding_index': 10, 'source_hecke_orbit_code': 36028865805550075, 'source_is_minimal': False, 'source_label': '507.4.b.i.337.10', 'source_level': 507, 'target_conrey_index': 337, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028865805550075, 'target_is_minimal': False, 'target_label': '507.4.b.i.337.1', 'target_level': 507, 'twist_class_label': '39.4.j.c.4.1', 'twist_class_level': 39, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 4}
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id: 46600451
{'conductor': 39, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 337, 'source_dim': 10, 'source_embedding_index': 10, 'source_hecke_orbit_code': 36028865805550075, 'source_is_minimal': False, 'source_label': '507.4.b.i.337.10', 'source_level': 507, 'target_conrey_index': 1, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 162129586652448241, 'target_is_minimal': False, 'target_label': '1521.4.a.bk.1.1', 'target_level': 1521, 'twist_class_label': '39.4.j.c.4.1', 'twist_class_level': 39, 'twisting_char_label': '39.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 46600452
{'conductor': 39, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 337, 'source_dim': 10, 'source_embedding_index': 10, 'source_hecke_orbit_code': 36028865805550075, 'source_is_minimal': False, 'source_label': '507.4.b.i.337.10', 'source_level': 507, 'target_conrey_index': 1, 'target_dim': 10, 'target_embedding_index': 10, 'target_hecke_orbit_code': 162129586652448241, 'target_is_minimal': False, 'target_label': '1521.4.a.bk.1.10', 'target_level': 1521, 'twist_class_label': '39.4.j.c.4.1', 'twist_class_level': 39, 'twisting_char_label': '39.8', 'twisting_conrey_index': 8, 'weight': 4}
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id: 46600453
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 337, 'source_dim': 10, 'source_embedding_index': 10, 'source_hecke_orbit_code': 36028865805550075, 'source_is_minimal': False, 'source_label': '507.4.b.i.337.10', 'source_level': 507, 'target_conrey_index': 10, 'target_dim': 10, 'target_embedding_index': 5, 'target_hecke_orbit_code': 18015498088218741, 'target_is_minimal': False, 'target_label': '117.4.q.e.10.5', 'target_level': 117, 'twist_class_label': '39.4.j.c.4.1', 'twist_class_level': 39, 'twisting_char_label': '39.17', 'twisting_conrey_index': 17, 'weight': 4}
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id: 46600454
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 337, 'source_dim': 10, 'source_embedding_index': 10, 'source_hecke_orbit_code': 36028865805550075, 'source_is_minimal': False, 'source_label': '507.4.b.i.337.10', 'source_level': 507, 'target_conrey_index': 82, 'target_dim': 10, 'target_embedding_index': 5, 'target_hecke_orbit_code': 18015498088218741, 'target_is_minimal': False, 'target_label': '117.4.q.e.82.5', 'target_level': 117, 'twist_class_label': '39.4.j.c.4.1', 'twist_class_level': 39, 'twisting_char_label': '39.29', 'twisting_conrey_index': 29, 'weight': 4}
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id: 46600455
{'conductor': 52, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 337, 'source_dim': 10, 'source_embedding_index': 10, 'source_hecke_orbit_code': 36028865805550075, 'source_is_minimal': False, 'source_label': '507.4.b.i.337.10', 'source_level': 507, 'target_conrey_index': 433, 'target_dim': 10, 'target_embedding_index': 3, 'target_hecke_orbit_code': 31528427274109552, 'target_is_minimal': False, 'target_label': '624.4.bv.h.433.3', 'target_level': 624, 'twist_class_label': '39.4.j.c.4.1', 'twist_class_level': 39, 'twisting_char_label': '52.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 46600456
{'conductor': 52, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 337, 'source_dim': 10, 'source_embedding_index': 10, 'source_hecke_orbit_code': 36028865805550075, 'source_is_minimal': False, 'source_label': '507.4.b.i.337.10', 'source_level': 507, 'target_conrey_index': 49, 'target_dim': 10, 'target_embedding_index': 3, 'target_hecke_orbit_code': 31528427274109552, 'target_is_minimal': False, 'target_label': '624.4.bv.h.49.3', 'target_level': 624, 'twist_class_label': '39.4.j.c.4.1', 'twist_class_level': 39, 'twisting_char_label': '52.43', 'twisting_conrey_index': 43, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 982050
{'charpoly_factorization': [[[27648, 0, 44100, 0, 14700, 0, 1645, 0, 70, 0, 1], 1]], 'hecke_orbit_code': 36028865805550075, 'p': 2}
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id: 982051
{'charpoly_factorization': [[[-3, 1], 10]], 'hecke_orbit_code': 36028865805550075, 'p': 3}
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id: 982052
{'charpoly_factorization': [[[31632011568, 0, 4880780280, 0, 76029795, 0, 441955, 0, 1105, 0, 1], 1]], 'hecke_orbit_code': 36028865805550075, 'p': 5}
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id: 982053
{'charpoly_factorization': [[[14692478786352, 0, 197203450500, 0, 991459980, 0, 2310165, 0, 2490, 0, 1], 1]], 'hecke_orbit_code': 36028865805550075, 'p': 7}
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id: 982054
{'charpoly_factorization': [[[5076736586687232, 0, 26831367311040, 0, 49631253840, 0, 38022580, 0, 10780, 0, 1], 1]], 'hecke_orbit_code': 36028865805550075, 'p': 11}
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id: 982055
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 36028865805550075, 'p': 13}
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id: 982056
{'charpoly_factorization': [[[-18224352, -5430240, -256995, -555, 105, 1], 2]], 'hecke_orbit_code': 36028865805550075, 'p': 17}
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id: 982057
{'charpoly_factorization': [[[1965893985956659968, 0, 4455914088473280, 0, 2650860455760, 0, 539588340, 0, 41340, 0, 1], 1]], 'hecke_orbit_code': 36028865805550075, 'p': 19}
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id: 982058
{'charpoly_factorization': [[[8153671248, 274861080, 807660, -33810, -60, 1], 2]], 'hecke_orbit_code': 36028865805550075, 'p': 23}
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id: 982059
{'charpoly_factorization': [[[427627836, -183512520, -1541025, 69915, -495, 1], 2]], 'hecke_orbit_code': 36028865805550075, 'p': 29}
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id: 982060
{'charpoly_factorization': [[[356081403867316531200, 0, 334330914729960000, 0, 65631012933600, 0, 4521262905, 0, 116790, 0, 1], 1]], 'hecke_orbit_code': 36028865805550075, 'p': 31}
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id: 982061
{'charpoly_factorization': [[[48966608306945859858432, 0, 11865129107135771520, 0, 760425774405795, 0, 20218763655, 0, 237285, 0, 1], 1]], 'hecke_orbit_code': 36028865805550075, 'p': 37}
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id: 982062
{'charpoly_factorization': [[[365794058718280311552, 0, 10653819263586151200, 0, 910501634293515, 0, 25632331975, 0, 277405, 0, 1], 1]], 'hecke_orbit_code': 36028865805550075, 'p': 41}
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id: 982063
{'charpoly_factorization': [[[227329236796, 5839005410, 23539060, -111605, -370, 1], 2]], 'hecke_orbit_code': 36028865805550075, 'p': 43}
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id: 982064
{'charpoly_factorization': [[[215929971648138486528, 0, 246476647292518080, 0, 74704590880080, 0, 7629752500, 0, 181660, 0, 1], 1]], 'hecke_orbit_code': 36028865805550075, 'p': 47}
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id: 982065
{'charpoly_factorization': [[[-46733997168, -3872088360, 54572265, -175365, -165, 1], 2]], 'hecke_orbit_code': 36028865805550075, 'p': 53}
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id: 982066
{'charpoly_factorization': [[[418560730223463490387968, 0, 253582868810878156800, 0, 14662951928663040, 0, 168581641360, 0, 707800, 0, 1], 1]], 'hecke_orbit_code': 36028865805550075, 'p': 59}
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id: 982067
{'charpoly_factorization': [[[-933851008945, 20983822735, -177985000, 717160, -1375, 1], 2]], 'hecke_orbit_code': 36028865805550075, 'p': 61}
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id: 982068
{'charpoly_factorization': [[[1395894322140655338839088, 0, 2804857964382857477220, 0, 49535075816470620, 0, 324748876005, 0, 935610, 0, 1], 1]], 'hecke_orbit_code': 36028865805550075, 'p': 67}
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id: 982069
{'charpoly_factorization': [[[718734914655152629420800, 0, 168744891049245201600, 0, 11384586746245200, 0, 184840338580, 0, 930220, 0, 1], 1]], 'hecke_orbit_code': 36028865805550075, 'p': 71}
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id: 982070
{'charpoly_factorization': [[[2045730256408861512075, 0, 1398166335261868725, 0, 327714497099550, 0, 28896798330, 0, 600615, 0, 1], 1]], 'hecke_orbit_code': 36028865805550075, 'p': 73}
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id: 982071
{'charpoly_factorization': [[[-920208867136, 51314196760, 74745260, -641375, -550, 1], 2]], 'hecke_orbit_code': 36028865805550075, 'p': 79}
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id: 982072
{'charpoly_factorization': [[[1616891650061173003439751168, 0, 99760388286685114967040, 0, 1008935154891789360, 0, 3160358318500, 0, 3406900, 0, 1], 1]], 'hecke_orbit_code': 36028865805550075, 'p': 83}
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id: 982073
{'charpoly_factorization': [[[28643408919355108985929728, 0, 2980510887688781414400, 0, 76750597772805120, 0, 625633733440, 0, 1520560, 0, 1], 1]], 'hecke_orbit_code': 36028865805550075, 'p': 89}
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id: 982074
{'charpoly_factorization': [[[157149586619843313073725082368, 0, 1441767716073347080703760, 0, 4822731207827875800, 0, 7147193571225, 0, 4556430, 0, 1], 1]], 'hecke_orbit_code': 36028865805550075, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 2, 'hecke_orbit': 9, 'label': '507.4.b.i', 'level': 507, 'portrait': 'data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALgAAAC4CAYAAABQMybHAAAABGdBTUEAALGPC/xhBQAAACBjSFJNAAB6JgAAgIQAAPoAAACA6AAAdTAAAOpgAAA6mAAAF3CculE8AAAABmJLR0QA/wD/AP+gvaeTAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAAB3RJTUUH5AsHEg82/IYE1AAAABBjYU52AAAA1wAAANcAAAAQAAAADnCbpecAAIAASURBVHja7L13vGXZXd353XufdNPLr3LqUFUd1d3qqNTKwRKyhJUAGcwAAtvDjNPMAMYBY2MQtgcbbAwIEAIESEhCQqiVWlLnnGPlnN6rF28+ae/5Y590b1ULzGA38sz96OqGV/3eveess/b6rV/Ygv//9ld2+8wX70VKsfHZAycmTWrMllkXz5U8frTL7a+YEbdd1Vy+54mULbMrszdeedo8fWArgSfZONun2UiFlrvXwSzMbnkdwGZgDRgIIV7ur/Yde3Ne7g/wnXI7dOwcwCVapxsNQvcHEZ/93J+we8sZdm1eIVAeR059Ll41r/yZQW/1uxxh4tPnPDbOCOL+kO564p0+vfRbJ08LRDr84ZMTvejswhKbZ+HEMGKimbrD5Nif/fIn9v3MC6c+L/7jv/qRjy6cPvrHQfL04731/crggxBSSXcBOFprbnm5D8l3xO3/p4aXuL146DxGBFOuPnp7b/UZHCnj06uT/6g7lG+VwhDFCU888RTN2hqXb2mz1lWcXKyBDknihOmWYf9Jj6svSTl7XjI9kdBq+Bw+65DqmLmm4MxyzDWXag6elMxMaDzPIwgcjp6XrPVgz4aE3Tum2XvlKzC4OAr6kfP1fUeHv5Qa7b7xtVdz+a6t92DCNSE3vNyH7K/l7f8HeHZbX1vCwNsbjfCyo0e7+l/98qf1h98xcUkv3PCTvc5hGoHHsZPn6HSWiWKH1b4kNR6Ba2j5hsVOwsGzQ7bMBEzWFErEzE147N6u6A9ByJDT5x2GEZxZFig8BmHMZdsNG6d7SCSNesSm+S77j8+wslajEaT4Tkx/qGn3FFGSMDU9R6O5BeWEXL37Ep7ev/wLt+45d3Tb7h+QkZiUW+acw8BXJyZmX+5D+tfi9v95gO977l6kELevrMdve+7w8vuv2HV+b9j1+K0/OcBt16yxdN7lxFKfrbOKug9zk5rTqz5KGqTQbJ5KObEY0KgbHj8c0g8FgQfL63DJnEO95rNxLuH2azq8cHSCx/cJXjyR8KqrU7bMahoNwfaNayytKQIfBqHhyf2zNGuSI4sem6aHSAGeSjm3ophoJEhStmyIWVpuMjCaN1zX4MTqVQSNlNdeN7n/3Mr8Z6JEfk0I7nnH217/ch/il/X2/zmA97ptajV/+uy5pX/7Xz/xNe/omX3pR97tv3J1tXXjH35lkY1zx3nTdQ2+8dgkA73OW1/pcN/TAZduG9AbuJxdVYSxwHcSrtyWsmE6ZKUrefrIBHEi2L1lyGJXce2lAw4ec+kMHaIQbr6yx4FTdVq1iH2nHW7dI4nikM7Q4enjkut3prS7LpdtjYhiybNHBcvdgE1TsHd7F8+RRDGcW3XphgmXb3a5+2nDm27sEQ4m+fLDfV5/4zrXXbqdRw9uZnnQf/yDb1h9YuvGa9T01r8R1eqz/zRNw9Xp6YmX+xT8D739Tx9kHjx8HM91xKe+cB9vuSVRSfubv3roiNjz2NNnXnvm5Gl1bqnNoePrbGy22DLd4MnDs9x+/Sqv3DvBVx9t8tjhPjs3Gc6ed9g8b+ifMcTGEMYup5YkG2ZChDDs3hry4lEH3xtw6SaPhSWXqZbg1itjnjmkefZIi37cZcfGiFe4E5xZhqcP1tizI2H7LBxZFNT8GITi4GkHQ4w0EdvmDM0aKBHhKpf2ALbNK46fFdy4t8tUvcHXnxO0JmJedXWLJ14w3PfEEbZt691oYnXjCy8e4/QDf5L6E9uu7Or6gd/8w8/8/TdeG6UzW96A0YmZmdvxcp+i/663/ykBnobHkFLJ4aAb3PHHPx1ec/u/+j90mn7/v/2tQ/E/+eDhKwLZCrprPi0fBj3Jkwfh+9/S45rLmpxdCbjzcZ+/9dp1rrt0hm8+5XHZtj4bJ5scP5tw896I/ac8JhsxIHn+eJ3N05qVNYcHXkh54BBcu8Nw5TbJaldw34uSN14dM9lQrHWbnDrnsN4xKDfiB96xxomFFutdwQ17hlx72RIuUywsz3FqCa7cqRlEkmMLPlN1h32nJXu2Qbcr2bNjmV2bA775mMfxlQHvu12zuDzFvmPQDlOuvyxE6kn2Hx3w/JH96sjSsdc3p4a3/sJH6jfr9Fo3DMPfu/VtP/3vH3rykD85NTlMk0Rfs3vzy33q/spv/1NJFK01Qgg5GHQn496+24zWH3th34nkngcPzzz5/LnWvjMJ03Mr/NMPhZh0M88crPP0wZiDCwPe9qo2r7miwTMHJrnn2YjJmR7f/WrJc/ub3Pf8gCsuTdg6XQMzQDgCVzocPucw30pph4ZmEHLifMoLp1Kaaoq33tRjbb3JIy8art4luHx7SpoITi65pKnm8q2Cqy6JeeQFwWqvz1tulNQaZzlwvMnxc1PUfUG37zI7kXDknIfnhCipMNph28ZVrtqhuPepKR4/GvOe29tsaExy75MBTx3rc+t1a7zzJo/DJ+Z4+oDmmSMxfdnjpz98ns0TGzh6ZpqV/saO29y5smXH5Y6U6iOvuuGSh1qt1joYLYR8uU/lX9ntfxoGN+YkaXpy570PLWyt19VnGvG3JrqrZxsnTmuS0GeyIdg0Ac8em+KBfQu897Z1trVd2j2HzsDnM99sMNPscO1uh2HU4P7nDZ9/oM/7XtsmCJo8echl80yPmZbHqUWHziCl3x/Q2OASa4fphmLzlOR1Vw946lCCIwW+l+DXEx4/qmg0XbbORoQJbJmB6/cs0e47hMkUsXZ47rjkmYM78FWA76U4kyGDECZaA3YBnZ7HqfMpM5N95iaafO0Rj+dORrz39T22TrZ44JmAZ48NufLSNb73DSkHj09x5LTg9PmEc+2Ud72+w9Xb6+w7WmdhRXL87ELr0KljrV7yGJdetvWPr74kbHdWef/RtV2n73tm+fhrX/E/hwvzHQ9wYwzAnj/98t2bL78k+fWHHzt6+ae//qj693/3LBsnpmk1ppidgt7QYRBpdg7hE1+bZtPMCrftdugPZwljl0FU55EXI6J4jWt3g+/VeXS/4nP3trl65zqvvbbBoVMtltaH1LyEuSnN7i2KcyuK1bak001p1kJ8z2XrXMSxBRdHDnjvqx2eOOByxY51Jic73PFknc7AZ3aiwZMHPa68pMvMhMvx84Itcy5BEDMVpLiORErB4/ummWj0qXkhl21TeLLG/c8a6vV13vd6aLqTfOsxj/2nB1y7d5XrL4VTZzey76jL8bMxL5w23HjNGj/4lpjT5zexsBqwtAar7YRhKDi8OGApfLxx+sD9Dfy33NM34aHLNpgfM8acBQ58p2dRv2MBvra6iuM4l+978flXdLq9f3Ds6NHb/+RPn+HAsR6LbZdPfNXn//jgOptmPfpDxWDoEYYug9DQO1vjjkcavOqqFa7fo4ApjHF5+vAUv3Ogx/ve2OG2K2JmJxs8vm+Krz8yZNPskL07BPMTDkfOuvSHMb0+tHsCxzFsmU1BSaSMGPQl59YC0DXmJyIu29LngWd9QhK++zUxaVTn8GnJ3JTDlhmB1glLaw6dYcgg9uj2PLbNhsy0higlcRxBHDscOQ1zU31uvTZh85TDwRMT3L8fzq52ufHaLt/z+pRTZzfy1AGfAycSnjqaEosu77p5yHAwy+lFy95LazEr7YTTaxLjDfmx71plqlbj+NmH1frwwN5T4XV3rXaCe7wg+E/t9vozSZIcmpn5zmR09XJ/gL/Mbdg9RqOldi6e2f9/Hz184F/ed/9DO/cfOMzKWkpqHIah5PkTLls3tnn1lTFx7BGnDtoojBE4aE4ueBxf1uzc1GHjFNT9gMB1UDg8fUSxsD6k1Yq4apdmz1afbi/g9JLAc2Jiozi75nJ2SdOJBI7jsGEyYXFNc/ycx1RTInCYn45Z7Rqu2TlEyjrnVurs3uJz8ITPqWXDlTtDFlclceIyiBR7tsUIYej2JRsmE+amQ+anI1wJ7b7C92H3VsHaWpNvPlHj0Nkh09Nt3vDKAbfu8Tlycp6nD3i8cDTh6FJEc7LND729x1U7JjhxbpKTCy5nl1IWV2JOrggOLhne/ZpFfvjtMYPhFN1Bg15P8OKBc7yw//jOdif+UKef7mhNzT30kR/78fVf/c+/9HKf+v/m23fU+rN8/gS1IJg7fvL0P1g4dc81c6219z7x9BILKwErbcHKesTyesriuuHYmmBmts1PfXCZW3Y3OHZ2hpMLdU6fV5w9n3JyIeboksap93jfa3u862aPkwsz7Dvmc/i0Zt/JmFQO2TYf8aprNDvmJScXGpxalKx2NMNEIyVMNWFuImG149DpKaZaEY5wmGqlBH7MI/t8LtmomZtKOLdcw1WaMyua+SnDJZsiHt7n43mKmSYoFTPbgLWeYKUnmG9pplsxUkIYKVY7DicWHU4uJezYOOS2axK2zjmQ1tl/rM6R04YXT6ScWAl5+6vX+FuvDampKY6fm+L4WYez51POLsecXDIcXDLcdNUSP/GBDhsmpji7NMnCSsDSmsvSGiyuhJxeGNKa38l1V8x8/i2vvfm5yZnN/ymOhkt791zyckPhL3z7jmHwweLv0PCOt/rtF/7rqePP/t326okrZbpIagJS7ZBoiTECYzQCgzRwfCHg8cOCy7e2uXKHBlxAIaWDoyS+Mpxfdtl/WjHUA/bu6HDpFs3clMPGKQ9P+Ky0fU4tCI6dEzx7HI6fi1haC2l3U4axS+B5zDUNW+ZjhEgZhA47N8a4yhBrQZx6rHQkg9DFcwTCaOYmNbMTKasdn85AMExc1vqCjROalbbm5KIicD02TsPWuYgNM0PmZ0I2zoRs3WDYvlFxxTaXmmpw7GSLh5/3ePJgwrMnYlLV5Z2vafPeVxlqaoaDJyY5dtbhzPmUhQzch5cNN161xD//8BrbZic4e36SxbWA1bbLSluy1klp91K6Q8GRk8t02u0r9h9deu2zx9Z3Pn9i/WuvfdsHo3u/8kcvNyT+Qre/1gxuzAqLC3XqjfjnX3jx8Kv+9X/+U3n93pOv+qE3Lzpr3Wmi2KPd81hpeyyvO6y0BavtlNV2zMp6ysI6HFkRzM2u86++f4Wbdtc5tTjN2fMNzi47LK4YFpYTTi+lnO8mTE4PefU1PW7ZC56s4SufxdWAc8sOC6uCfghJogk8TSNImZpI0MCJhYROD3ZscGnUQowRIDx6A832jSEr6w4YK0XWexAmYDCstiO2zLt0BwqhDEKHtAKX7ZuGrPcFJ846pNphpiVpBgLfhSQR9EPJwqrk3IphcS3B94fgJtx6ZY9XXSWYa9VYWWtxatHn7DIsLicsriacWYUjK4ZXXrnMz37/GhsnW5xcmGZhpcbSmsdyW7K6bo/fWidltatpDwTdCM61Q372R9PkjdfNP9jc+H16Zu6SB1seP3WqI9i+ofVyQ+Ulb39tg8x/96ufQ4gZ1jvnfu7owfv+0Ze//Ky/sLDK5xYT3nLDgKt3GM6vTmCMIUkFSSrQ2sEYhTVWQIgUIQxHV6b4V58U/NwPLXL9rohmbZpGrUmr7tOsu0y2FIsrioU1h28+FPDlBxIu39Zn7yUJq2sDrtgW8j1v08SJQmD4s4cDzrcDamnI8XOKXq/JtZelnO8k7Dvgsnub5NBZuHUPtLsQaQffiZhtwMEzNeq1GF8lTDQF6124+YouR0777N6hOXY25IUj9ve524YcWTRMNENWOxFf+mYdIxRpmnL7dX1uu96wsO5y/aVDLt3sksQt+oMa+44GLCwLltZSzq8lLK5qTq4KFnsR1+1e4V98X4+51hQnzk2yuFJjaT1j7nZKuxvT6ae0+4bOQHC+r1jqJFx72To3XdJ3um3ndfc88QXU5LW3vfsdr9XbNsz/9Mn9f8T2vd/zckPmore/lgz+mc9+nve9a6f66K+/+C+ePXzupw8eP6wCrRkMFYdXBTu3LPF//+gir7ikxuLqFKvtOqttu8SudhzWurDWTlnrJKx2E5bbcGpN4NSG3HbVKh98XcSu+QbrvRbnV2ssrXostwWrbSsR1rqazkDTCQ39YcJMK2b7Bg0IfNdw+ryLkD475hW7Nhs2z/dZXAt55lCTGy431GtrPH94mmYjIopcZqY0gyFcsX3IH9w1yZ5tCWFomJ2QxOmAZuDzwvEhNbfBdbsTnj0asbjisWXGZ9cm2L4xQqmY08vguQYhDDs2JEw1Jd2BT6/v0um7rHYUq+uw0tastlOW2ykLbVgZpmzf0uODty9z216HwG1xbrnF8lrA8rrDakew1tasd2PWuinrPcNKDxa6ksV1zU17F/j5H1ll+/wUZxZnaPdTWq0es7NXp1ru+rk/eej2n33V3mfSN7753S83dC64/bUC+NEjB/D9oHZ+8cz2p57Z94EXDpz+Nw8/fZJuqFAS0lSwPJCcaKdcf8l5/sOPLnPtJTXOr02xsl5nrROw2nFZ6zisdaDd1ax3E9a6Casdw2JbcLZnQPR472vavOMmzSWbAqKozlo7YL3n0e4q1nqCbl8wDA1RYkhTUNLgu1DzDZMtw/x0jOMOOXIu4rnDPjpp8LabIxx3nSf2TbBzE3zl0YTXXO1zvj0gcBRJGjM9BUns4rgJKyt1Xn19h6881GTXJnj8UIhLnbfepEnEgOeOpBw7HeBIjw1TDlMNQc0XeJ5ACUg0RLFhGEG3b1jvabp9zXpfs9IzDNKUHVv7vOOWNu99VQS6ycr6BOdXa6zkZNCG9W5Ku5ewnoF7tQ/nOoqlTsordy/y0R9d4ortdRZXpljv1UhTiRSalbZDP9lFqjb/sy3bLvvjnTu2nRwOh4O9e/e+3FAqbn9tAH7o4GGmZ+a948cO/uDx44d+9dlnnxNnz3fleiehMzAMI8Mggm5ol80znZibLjvPR39khesvC1hen2RlvcFax2e967HWdVjvCtpdQ7uXst5NaPc0az3D+a7gXFszNdnnza/scuvehB0bFK2aS6cb4LsSUESJRGuBNtAfAkIz1Rxy6IxBm4g7H28Q9mtctsXjtmv6xHqde5+c5LrLXQ4t9Givtbjlmj7ffMJnw7Rh3wnD//qeDvuO+2yYlnzjScVtVyhW+x2Onprmut0R9z43IAnr3Hqlx6XbhgySHl9/QkEqOHLaoVV3cAT0BxJtBKk2xAkgNY6nafcMjWbMtk0hr7qiz5tvSJhpBCyuTrCyXmOtY4/NWkfQ7kG7m9DuJbR7Vpas9iULXcFyN+HmPUv8mx9Z4tpdAUtrk6x36vQGHoPQYRAq2n2HpTVJb+jrK6682uzZvfvvX757z++cP78YXXLJZS83pIC/JgBPkkTGUf9dzzz+5cvOLOpffPSxx10QDCNDt5/QG2j6oWYwNPRCQXsI5/uKs+2EW684z8//yBI3XOqx3plgaa1Juxew3vVY7zm0u4p2H7o9Q6ef0Oml9Aaadt+w1BMs9SBOQ669fMDG6ZRe3/D2W0J2btQkqcSRhiiGe54JOHk+YNNUwvNHAtB19m5VXL9H4wd9njjUZ2m5wVU7G7Qm13joWZcbLw9Y6a+zttZi40bDo/sU3/eGHo/tc9g677Lca7O2Os31V/R56PmU6dokV13W43y7zaMvTlJzGrxyj2H39iHIHs8cE8xPxywuxdz7jMswVkgJqTbs3BTx5lsiuj3F5inN9ZdDFNUz+eaz3nPp9BXtnqTTg04/pdNL6fZTOn3Net+wOpCc6Qjag5Dbdi/xsz+8xisvtxfHerdOt+/RG7j0hg79gaLTl3T6gm4/JU01r7j+xrjdE//X977/XYebjdqXHM/VLze2XvYg05hljF7+/uHaY780WH9xevF0j9kpxTAUCGEwBgQJUoISGikNQoAUKVI6PHZwAz/1Ww7vuW2VD71hlV1bIhZWWvhejZrvUfddGjWHbk3SHLhMNBz6w5TeIGVDqBmEhu7QZ3Up4PQpQ5Roziwk+L4BBJ4yOFLQHygELknf4RU7BZduNmzf0idMu3z1McX+w1O85Qaf669Y43e/avBEnZ1b+jz7kGLLpGK21SdQNaLY5XwXGoHD1g2Cp/dHXL+7xuuuW+YTdwzw3CZvutng+n2+9WjEVx5p8OKxGpdsrrNzU8rcVMSu2Zird6YopXGUAQx132du0ieKXbp9j+cPlUDsDSW9AfSGhl7ffvfuIKU3MHQGhvUBLPUVi2uG+kSbH3/bEn/ztpBrL2lwbrlFuxfQ7ft0+y69oaI3UPSHku5A0A8NYWwYDjV3futhN1XTvyTrG1dvu/Wmf/T8sf4nrt5V//8uwM+vDlheFz98571f/fkd/uemfSGYm5pCKQ8lwdZBWKteyBQpQEqNFAYlDUqmeFLy7KE5njrY4NDZ87znVT1edeWQyWaL1XadRiegNfDo9R262ckeDB36ocMwNAwjTRQb4tiQpPYeJR5Gg1QC1xEEnmCyKZhqwsZZzdYNfWan2nztCbjvKRepJ3jLDS6v2NvlgRdjomGL214haA8GnF9pcOtuzexkn5rjM0wUS50YpQWv2O1Qb4Y8eSDgtddPcMu1XZ48oMBMcMOVHj/0zlW++XTENx5rsO9kwPY5xcbpGlPNOhNNqPngOgYlQRvYd0yQpoI4EUQJhDH2O4Ypg1AzDDX9oV0NewPohLDUk5zvQqiHvPG6Vd71qjbf+yZNkrRYWG7Q6QV0BxlzZ8evP5D0Q0F/aBgMU/qDlP4wZbWTcmzxHKfaX5h+3XUr/+7Kq9/lGNP/LSFePpC/bABfX1/Hdc0Pfevu+3/+N37v/vm//dYON10+QaOfEsUpxkhAAgIhVMbgoKRASY1SBkcZXKWpuYLlfo1P3bWVbz3V4TVXr/PhN65z9a4eM5N1VtbrdAc+/YGbAVvZeyQIY0mcCJLELvW5xaikwXEg8KBe00w3Y7bM90nocehMzKfvDTh6qsGkX+PGKx1uvabDowfb3Plwi5svD9i+qc8f3CVQwqfVjFnvhWhjv8Ncq0+n66GTGu96zXk+9ZU6ly4GvOPmPlG8wr3PzRCnATddOc87buxw+bY233qyz7On6jxzzGPrtGS6Jaj7As+1F6EUIIRBG9DaECfZxRpnDBtphhE2jhkK1kLBaheEM+S6Pet8+M3rvObKlJlWjbVOnXa3Rrfv0xu69AbZShBKBkNBfygYhBbc+b0/tDFSbBxatTW65+6af3Iw+/O7r7zFrK+3f3ty8uXpJPofDvCTL/4Gwpmlv3THD5xd1L949MDh2Wu2RkwEM4QxFrB+SqoFxhgElsmlUCgpkCpFKZEtzxpXGXzHUHMEa0PFSnuKz9zT4JHne9x27TofftM6113aZiatkSQ+/WFAb+AyCB2iWBEnkiSVpFqgjbBZUGHwPU09SPC9CM8NObMScsfjksOnPY6dnkJpn0s3eVyxS3HD3g7KX+K5I022TNa56hLYOLfGaqfF1VskiTZ87TGfsC+ZbCS89aYhX7o35uRCkz2XuZxbH/LCUZdtG6a4dtcSDzzb5aEXBGHksXfXNHu3+ezd2uXIuVUOn4HH9tc5dLRB3RH4jqThGwIXpLRBlTH2Yk1SiBKIUkEvFHSGgk4MkU7QZsgrL+/w4Td3eM3VKZumfYbDCVbaAd2eT2/o0R849IbKFquFgsFQMght3+ggTBlm90FkL6A4gcCBdNDkzgdgkNw1P/PI6V8MTT2B4HeNGYjuENOq/Y8L/f6HAvwf/+In2HbFI7z45LXfa8Izv7y+cH5y66zL1hnJRNMnihOUMvheijYgUEghkVJa5lYKpQSO0jgqxXUEnqPxXIPvGupeymQg6IYua50pPndfi7ueGbJhqs8Hbm+zd9uQ4aDHVbsM2zYqwtglTRVpluYXGKTUuE7KiUXDsQXB+kDzxQfqnFmewkQuU4Fi84zDjo0Ol2yBqy7toOUyH/tSg9XVCW7e63DVpW2+9YxAJC7zU5JGPaEfe0gjwUiU49EeChZXBVeaOrff0OXBJ2tsnvW4+app/pd3LvM7X+ny2IEGvaHLynqTXZtr7NnU56bdXb77tV3Orq7yxQd8Vvo+J865nDnj4SqBlBKBQBtDqiHWhjTRTM3EXHNlnzCM2bst5H23h8xPKKabPnEccG4poD/w6Id2lRsUwJYW3KFgGGJXghzckbbuVmgYxpBq8B3otgUPPSdI0iXajy3Pzm7Y+B/ue+ypfwb8kNHhff8jMfc/DOD/8b/+Ef/gh18n/t6/5P0NZ99vvvMVz9Yv2dxkslsnjjOdnS2zRSYye09KUFLiKIGjskdH4DopniPwXE3gGmqxoR4ZJoKUqZqgH0m6UYNjpxt89A+nQSeIJOGGa/rs2hiRJKCNxhibxJFCIJXAcT0OnPTYdzigETg0PclsXTA3I5mfdtg8p9ixKWXPjnVSscKvfL7FiZOT3LzbZe/OlEHS5eHnfCZrLjMThslmRL1mpZDWkvZQsdozrLRT2r0ar75qncf39dl/UjHZCrjpykl+5F0r/JcvwJOHG/QGhvWuw+Jqi42zdeanhuyYGfJ/vL9Pq97m2WNw4JTEdQ1KGYTQgLH/M5AksHNjym1XJ6SxS5z4GFNnGLksLHsMQruiDSNVyLdBJBiGgmFkWTuMrJYPI00YaYaRzqSPvYcxRIkg0RCn0BkawtTq+4FzYK6z8Im5lROX7PrFj33k/ucf/5S5+sYP/c8D8P/0a3/EpvlJ9Qv/+evv7S4t/O4f3L8cPLM/4Od+cJVLNvfp9muEkUOSKuJEZQGkvUtpMuY2OI7MgC3wXEXoSsJI40cpYWyoxZow1kSRoZVAGGvCxB74YSwJU584Ddh/uMEz+yE1Bp1dSEqAK8FTtuaj6cNVm6BVg4mGZKqpmJl0mJ+G7RtDNs2tE5tVfuXzExw5OsH1lygu2Sq5dOsad7+QsLgywQ27JFMtTeAN8KWPUYIklQhjSNKItV7A4orL9XtrvGJ3lweeDNgwJagHTa7frfnx967wy1/QvHCmyXpPs95VLK05zE42mGrVmGpN0KrHzDVidlwf4bsJrpOgVIoUliUM9qKKY8X5JYc4scc4ihVhnD1GkjCWhJFkGEnCSNgANRKEkbGgjjVhmFY0vSGMNcMYhhGEsWCYCKIUQi0YxILuMOXybev88+9f5OqNbU6daHzs+77r9wbC3fz5Zx/7dHrtTR/8zgf4l+/4PNMTNXXs1Mr7lpcWP3H40NFg02TAt56e51/+fsrP/eAal28ZMggDBqG1uVzHWmBKOShpcJXBVQrXMbiOxHOFPQmuIPQUUWyBHseGKLEnIU4q9xSS1JCmmlRj9bamALcQoCQ4ElwXfEcQ+IK6L2nUFRN1ydSEYH46YcfGPs3GOp9/MOLe56ZZX25xzXbFjk0ul28bkop1vvZYnYbrMDelaNaHPHcEXjzqcPU2Qz9UXHt5zDWXGhbOpSyteQyGdd52Y5f7nx1w6IyiUZP4XourL9H87A+scM8LA750zywrHcOO+ZS1tsNkSzHRcGnWXRo1Q+BrfE/jOymOslJLZq2VxmATVlqQaGlrdxJBnEiiRBDHkjC2zksUC6LYEEUQxilRrIkqxBHG+T1zaWLBMIZBLOglkn4K3ciQxEOu3brKv/j+ZW6/2ufU4hTLKyeCWAW/P9Tu3xmkE5/9zGc/m77/fe/7zgb4rk09OQzbHwr7K782aJ8JNs+66BXNfNPjy49tIg0F3/26dd73+jYzkz69fsAw9K3GVm6mtR1c18GPFEM3YxtXEnmCKBb25MSKOIEoltZBSErbL0k1aWrdhdRkEqgoyBKZBLKyx3MEvicJfEmjJmjVDZNNzYbpkLmpLolZ5zP3S37nKzPMBwHXbBds3+Syc7Nmx6Y1Pv+wYXU1YO9GxVQLmvWYxeOS82s+3i7LdHMTkslJOHTMsNbRLCwHXL4z4A03dLnjvoCZJvieh5KTXH2p4CPvOI8rz/NnD0zx4pmADZ2Y+cmEiYaiWVPUa5Ka7+B74LvgONZhkgKkqIAce2Gn2pY9JCkZ0CFODVECcZxaUog1Uf4Ya6IYwiR3ZTJwJ4JBIujHgk4s6MWGYZjQ8nt8/9uXeN9r+7z2ao/FlUk6vYCldoOjp84GeOI3RU07COePsDzznQnwn/0vn+TzD+sf+K5XPP8fGmrQ2jLvs9bVBK5mytcMUo+vP7mRh1/wWFxf4n99b4/piYhhWKPTD3CcFNdx8dwUL0qJXAcvVoSxJHJtKt0yjrBMlLFSklgdmKbWSdDaBlxam7yHMwO3BbgNXAWuYwES+FAPNM1awmQzYW5ywOzUOg/uj/j9O2scODbJzgmXSzfC1o0eWzfAnu0d+kmHR/e1qCmXuSnFZBMmmyFTEwme5xTxxSD0WO3ErPcN7V7C+TWP7Rub3LL3PHc+1ufAmRZ1P8ZVHkJMcOkWxd9+0zKv3HOe37+zyaPPT7LSc5hvJUzWE+qBpBYofFfguxLXtbGKUmT2oUW5wfawak0B9CTV2eqWWYuJJkktuJMYosSU99i6MsPEkko/EfQSQSeBwSBFJ0Nmah3+3nev8E8+NMB36iyvtugNfcJI0R8oFtfghaPHW/W5wa/86j+d837s/b/+O5Obfuw7D+Bnlzs4Sv3wv/iPv/fzdz/5/My1O2s8c3ie7sCWs3oKJlxD3PJoD2b4D3/ssO/IKu96bY/br+uyYTak260xCH282MX3XMLIwY+tvRd5FuBxLIkSu+zGSeZpp2TWHxlzS7ShBLdNUmbMDY6yCRPPNQSephYkNIOEqVbIptkOi+0+v/pFl689Ps3qWoPL5gTb5wVb5j22zgt2bR7ieOt86l6Ho6ca7N4gmWpKJhopUoacWTL4jkQKMEYQxQ475js8Rkqnr1jrGBZXa+zeGvDdt7f57Lc8ji/6uE6MEC7aNIgTyQ271tjxPR2+9mSfP/jaNE8cb7BlSjDbSGkEKYEn8F2B50pcR+AobOAsRVGTYbAXmTZYpyW1gM9BnqRW0lmwQ5TaWpcoTx4lgkEC3UTSS2AQaZJ+xNbZDq+7YZ13v6bH215pUKbBylqDQeiRJAohoFVPqAcDlsOITbUzM7686Rdbs/+rSuMP/ZZyp75zAL6w1CbwnP/lk5+/7+e/9eDR+Tv6c1xzeczCYoqbWhtLCUPdgdSAwKMznOJTd/vc81yX6/d0+J432iq4mUmfwdBnEHr4rkuUuESxUwRKSaKIU0mSSOJUkCSSNBWkWpRaWwsKVWIyZ0aAUtZ1cJXGczW+l1LzE5q1kNnJHoN4wLeeM3z67gkefX6SKc/l6i2GTdOSDTMem+ckWzdEXLJljWePD/ji/XNMKIe5CUGrIWjVY9r9lK88HND0bImBNjAIHd51W8iXH7E1Me2e5vyaw9b5Ju95VY9H93fZd8ij4ScoKSzIdZ1hZLX+335Dm92bzvOpezo89OIkJ9dqbGwJJgJD3dMEjsZzwVECJe2FbJkc8vIjnUk1rcsVLsmAbgkC4lQQpxmwUxtE9hNBL8XGPFFEo9bng29Z5UNv6nDD7pT5KZfBoE67HzCMbEyVGoHjaDbODnj73BpX7+3ziktjuisH5hPu+vnZLW/SabT2ceX91YP8rxTgK6urxOGQZsD3f/Fr9//7z33hGzP024h0gucPGGrK0PRtMOdI8B2DASQaVyi6boPTbZ+zj9R55Lken72my/veMOCttw2ZnvSIQp8wcYlilzhxiDOgJ6kiSbOETVoCXJuMuXWZWBDCZEGlreNwHI3npvheTM2PaNYGpAz45pOSP7xrkuePTSBin51Thk2ThtlJxdy0x8ZZyea5mO0bO5xa6vLrX2qQhDW2bhVMNh1aDWjVY4Qb0Rk0mGwahBAYA3EimfYViU7oxh7dfspaR3FmqcaVlzT50e9a5xf/yOfEUgNHxdmF4ZAkAcNIsnHG54bLOlxzSY8XTpzh03fXuPOJSc62azR8RdODhmvwHIOrwJEmK30Yra7TgNH2oku1IDWQpML656l1RKJUMEgFgxQGiSFJEnQcMhMMeNsb1/nAG7u85uqEiZpDFDdYaweEkUcU2xU3ih3SVCKwcUE9CLh+SiEQLCymmPPfnF/v+f9+dvOrkzNnl35vZgqC2txfT4C3O318P3j3E0898V+eeuzuVl222T4jCJOUJLXFU3nQI6U92lIYa9Ep8JWgpzz6icP5MODPHmlw7/N9bvpGj//tb3W5YnuH+UlFq+4QxR5R4pIkJcjTHOBaoo3EGLI+zRzcIEWe5tc4ToLvJbgqojOIWerE/KfPBxw7P8WT+yYx2mOmJpifNcxOCGZaiplJlw0zko0zCVvm+sxMrvG1pzRPvDjJNVsFU01Jsy5p1TWNWoRwQ3zfwVH27xsDaSptyekwJtGC7kDT7RlWOy4LKy1u3dPjlivX+dQ3AmqrCkfGFpDGIUk9otj2eM5OBrzy0h6vvKzHY687y4klye/fOcn59TqnV3w8JWm4Ai+XYdIe/4LIc6mCZfLEZD62FoQpDBOItIE0gSRGqpDNUwOu2WHPx41XpLRqDknSoN31CGOPOHYIY3tebOCvMuIRWWa1hiAgTiVRpFjvapaev3/mlTc7/+W2W69Z6/cHX/yrxORfGcBPHj/Mtu1b1Ed/5eOXrS4eb6Vhl/kpj04/ZRjZAEZniYe8XsJac8JaganBk4KaEgwcQd/xGaQuK1GNO5+Y4MEXBzT8kL/z9jZbZxJ2bh5w61VdHKFo1h2EsHLFZiVtrbQxFebGIKRBCeuZGxKQCS8ckzy+3+GOR5u8cLJJlNRpOoq5mmG6YZiqG+uDtxymJxxmJgUbpxM2zw3YNLfGvc+HfOyOeTZNOsy1oNVQtBqCZj2h5oc8eFAxjBzchgWVMYIokQSO4rrdAx55btIWPg1S1jsuy+s+i8tT/Og7Fjm9vMIjT8/hSkDEaMiA4xJGkt7AYaoZMNlqcMvuPq+7ps/3vH6J/ac0X3404NH9NQ4ebZAIhzBU9GOFEhIhxFjgmeUEjCbRBqM1rkiZ8CICYm65vseuTUO2zsZ8+K0hNU/SqLlEUZ1217J1kqiMcBRRkknHpCyFyG1Kg10tkkTYmvKe4txilyMHvtGarh+8bNt1P6oOHDiY7tmz+68PwM3gaQg8b/XcQz940x7vP9y1MCRB4XkpdS1RytYppBp0anV3qg1OCkm2fLpK2LqS1BCkgrqTsUjqMkhd+mlAt5vy7z81hUliNswNuXL7kJmJhPe9YcD2+Yg4zg+ihApzI/KMqEZIwefuqfHskQbCcThxts6ZxTpBTTHhCyYbhlagaQXQrAkm6opWUzHVdJiZhNnJhA0zQ7bMd0jNOp+7v8Wg1+DyrYZWXdGsS5o1TTNIcN2Irz0SEPYl7rwtHcslSqOmeNtNA+57StMLJb1BSqfvsN51WFipc8WuJu97TYcnX6hzYrWJkhqIM73sEqfWTRpGkt7Qod3zaNbqNGohV2wdcvOeIafOtzl+bh3HTXnmqMNn764jlLLgHp8/aDSgwRjiKGXHhoQPvGHAbCtlzw7DhhlIE5cwapIkLmsdlyRWxGm5gsaxKpJ1SQbsOBUFwHPpmGQVjzZLKvA8hxcPxnSSxn/YePbRfnPm0t/54jdeiN795qv+egD8uRdPopzzu7vrJ3/11NHHpOu0iB2JlxqMZ4McV2VRurbgTlNBqmxQ42TBjZtaDehrQ5DaZuJIG6JUEGpJmEoi7RJrWOq1uPtZjSHlTx+1IxswOrvnWbzMIhO2IlEIiVSKJHaQ2sF1JE0fds0ZGq6m7mvqPtR9QaMmadasHJpoSqZaMDORMDcVsnmuS8oa/+lPAh54bp5LZ2CqnrF3XdKsJdRrEY36gFqtjq8kSmYaHCsH4thlOBAMwpRuqOgNNd2Bti1zDY/TixO8+sqQH3//Ir/0WYeT6z5CaIyJ0akhTlyiWDIMbRlrc+DQCDzqtYC6XyfwY5q1iBsuj/DcmBsvT/jwG/s4KsmSQBohzKgozySd1hIhJL6rAI9h6LCy5ti6nTSPebJ7IosYKE4kaQHsXJbITNcL0hQSnSeZrNVoyxcgijVf+9bD8vbXmV/d63bvD/vh838V2Px/DfDPfe7zLK03a/sOHHrvgQP7Rc0LUI7V2K4jbRApLFNbMFtwJ8raU/ZLl9F7mkf0qSDRpvyZtvrQ3gWRliRGkmqHWPukme1VvRVZSgGOEDZTqSCoGQLHEKgU37UFQoFnqPmCmiep1yT1wLEAbwgmm5rpVsLMZMj8dI/N8yt87A7NH9y5gW2TitmmptVQNOuKRh3qtZRmLebciubIOZ/As+W3kFf6CYaRw66Nmo2zQzpDz3YrDVI6fcl616FZC2jWJ/nwG89z9NwCv/nFLTjSwaBJdUqiDXHiEEaKQWSLovqBpD50qPkuNT+l3bUxhuemuE6K66Y40maJpbTpfJHdbemKAEQGckFbZ1WW2sY1aSrRWpLoMt5JChCPArp8nYNbZO+T3fP8hb3gHUdx1U4fP3xOJJ34vZvnLjvyja99YfDmt73n5QX4Yl94K72zPymSpZ+MYy1dZWu3pRQ4jswCSVCpwUkNibZM7mTgThXl8zz5kP2b/HWqS+BbdyRL3BjQRhSBUlVzk11YMgtsHamte6Oss+AqgesY6xs7gsCXBJ6k5itqgaJZkzTrholGymQzYboVMjvVZ/uGFR49GPKpezYzFfhsaGpadWHBXZM0Ak0jSGjWQx49AM/sr3PZnMl0b5k2H4SKG/cYLt8+4LHnJ+ln9dW9gZOB3KUe1KgFk3zwtas8c/A8j+zbCEahdWrLYRNDEpuinmQQOtSHhlqgCDyN77n4Xorv6CxpZkuMldJFnY8UBoRBUOq5Mji3JcQ6d6R0br9WrNgcyDoHc/azlOJ9+5g5NBm4kxTihIzU7LnyXIdOT8vnDyz+i9dM4u3Y4v8cEL1sAO90+7LXH/zMb/7O7/8j01/wZqf8gjWNyZMMEiUEqbIpczUCXoNOTQZekUmXvFYkzz5aza7zf59l4vJg1RhDJfM+suLmqeo8oaNklrFU4BZFWzb753uKwFfUfEG9JmjWDK16ykQjYbIZMjMxYPPcGo8cGPAzn9jAydOTXDKrmaxDq6Zo1BSNABpBSi2I8dwh7aFBSYWrjHWNspvVoZI48WjVYvqJpp/VWfeHKd2+pF1T1Ls+gd9k58aYn/3BNv/ydyUP79uAQaGNJk01SZoQJZooVgwjxcCX1EJF4El8z+B7Ct/RuK71+x1lsjqfrJAtkylCmNEG3Sy1bzISMVmQmGaAT3X5aM+ZLEoAyvdEAWr7nCL5lhT1Qfa8gn2vPxQMhgve6qr/f73ylr/jRtHgn3le7S+dzv9LAzwadjAm/rlHn3ngH8Tdc4EjXep+CW5tKL5YKq3cUKkYA3WeSStBXgW2LjxaMNrYLvLMianeGQN4JrvLUtu8E0hZu8zJWtFcR+J7Es9VBL4dyVDzDY1A06yntOoxE82I6daAzXPrPLK/z7/8nVkOnJxmx7R1WJo1SaMuLXvXDPUgpR7ExGnEJ7/RRCqFK60VWh6bfCl3+dtvWePrT0R0I59+BvDeQNHtKdq+Q+D5+G6LPdsS/s0PrfDPf0fw0PMb0EaSaptWjxNbaBZGmjCw5a6+Lwhcge/ZzKbnmCJj6yiNVDa4l8LYRokc4GXKE8hIBJtLsG5LFshnq2maTR3QRXItBznFiptWgF0APCe67PzniSchwHMVTz6zEODc9w9f87rXi9XVzk9NT//lpmf9pQF+6tQBjDG3pL2HapdsHtrmAa2zq9ouw/kVm6RYcCsxCurUoFWFzSsMbZ9njzpjEVNajeQHfuxzFTXkeZ2JpCymyurILcAlritt/YYnCHw786TupzRqFtytRsRka8DcZJtH9/f5mY9P88KJWbZOCWYaFWkSODQCW79SCxJqfoTrhpxZmcJVtsXO2nJlkJmmkiRRbJoyJElMJw5s40CoGQxTukNJra8IPBfPDXCdCfZuTfg3/8sS//S34ZEX50m1tABPDXGSZkyuCX1NEEmGniokmOuC61iJZutUDI4kkykgZJmjGMO4lStkSSFEkRzSWXIozxaXxCRG5WUB7OrKrbPX5YpenH8DJ88NOXDm0drm7dtvUfIvv+PEXwrg0fKncWdW65/9w29522bOsmW+TrsHwyjvb5TEKdYGTK3XnSobIKYZ0HOmrl7BuvoldV4YVILaZFe5MRcCO79JURZR5bFADm4ly3pyK08gcMH3NLXAUPOtfq7XYlr1iMnGgNmpNk8cGvLPf2uK507MsXlSMdfQTNQEzUBSDxT1mqAW2IvDpvojHtkn6A09AkV2kVkNnjchpFoQJw6NQHHrVV0efaFFPy7bwfoDRddX+J7Cc71MP09yxTbNL/zIeX7iN+ChffPEWhJrnTVLlz2YoSfxPW3ZO6tNcbOL297JZEop42SW5b0YyPOkkMkBngE+LZyXsoCruvLqCnhLMI89z+RKkmjiFMLY0O4Z1qN1Pv35P/NqO99T/2f/+c7+v/nxt/z3B/jho4c42L5kcmPnt3/9lXtWXtvrxhhj4wBHObY2OwaVWP2lUlFU9Skt0BnQdbaMaUeULF1l7QqgdQHsstuHTHsXJ0PYgiIh8x5OUYDbAhxUVjHoOuC52E4gLyuw8lNqmbxo1kImmgOmmh2ePhzyz39rimeOz7Nx0mGurpmoQSMQNGqKek1RL9g7JfATmvUh9z7jsd4OmJoq0+Q5YHJPOE4V8zOKN76ix72Pa9tFE+kKyCWBKwlcB9fxcJwaUmqu2Gb4+R85z0/8huGhA/PE2iHOKgBt2atlcj+WRXWh50gcJyvCkgLl5MeG4vPlF2EuVURelUaZEBq/jybvKo9jK3IO5lGg5xWfJluFbCnuIDR0Q8F6T/O1x8PXvnXiwG//u3/y9h/7Rx86uD47/9+WAPpvBvi5hbMIufITJxb2feiqzYeYmZjEIDFaZNJAWddE2kIdJyuuVzlrp+Boy+ilzs7AniVncvYeCSTHmTtDep6RK7S3zIPbUnfnFYOOwtZnOAbXtY3FgacJvJRakFAPYhpBSLM+ZHqizZMHQ37yN2Z5+ugG5idd5uspE3WTgTtj70BS8y37B35C3Y9IdEg38hFK4uYMXmhwkbFbViAWuzS8oS0XiAKmcpAPU/qeZXDfk7Ym3sk3oDVcvdPwiz+2yP/5a5qH9m8g1g5hKohSnbG4IIg1vmvwXNu76mRxh6Ps+VBSZscn68rPHyuFWcWFWY11xsBdkFCFmGztfRY76VEWzwGf6/A4zSoXY9uZ34sE7VByfiA42z3H24ZPfujk0c1HhmH0T/+7Mvgzh0+xcePWHZ/59K9c89hTZ7h5j+Gdt3Zp1fMaEFEECkLYPWYSaZMcTmYZacVoEKnLwDHV1QMmKkxRZiVNdc3MWbsaVObLbVbQpbJgynGyzqCsCCmvHgzcNNPNMbUgZKrVZ6LR5ZF9CT/1sVmeOrqBuQmHuVrKRGBoZuCuBdZOzMFd81MCL6HViNh33HDPkw08KXGVzoK40qPIl+84VSTa4fYbYi67pMeRkzXm6hR9jsMwpT/MWNhROI5btPIJYbhqB/zCR5b5p7+huf+FOYZxzSbDEkM9q+H2XSzInXz10kVvq1RpscIpKSoAFxWQc4FeKUFuRgFeAXf+3rjsHLF8i4YUCvYexnYCwPJAoPwB333rAtdvX+Cp5yavefe7//GOQe/IiVrj0r96gJ88dZb56YmdX7v/4f/41IHOu7/8cI1Pf2sr0lngfa/tMQw9otixadnMjxZSoqQmyTS40sZ6qqnJovFySRsHdZUdLmAQyy0Zg4+BWxikym1BCwZHZaztGDxH47oa39X4XkLgJQR+RD0ImZ7os9btc9/z8At/uJFnD88ym4F7smZo1gSNQBReuXVetGVvzwK85odEacpwEBAoe5FJUVn6yTWryAJNx2p5JySMDINYVACu8bwUz3VwXYmjFEq6BcARcO0uwS/82Br//o8SHto/w9l2i2FDMpkamokhyCYO+K7JvP/cSTEFe+dSJQd48XmzD13FeaEQs5NSrqymDD6rYK9Klqrdq03FhDBZV5Gdnd6LBd0w5kNvWOCX/m6PxRWPxf76u8+dfDidnL35H66vLh6fnN7wVwvw9ZWTpGHt5sVTB977wtOn2Nxq4AvBJ7+R8qqrVqk5dqyao3QJcAFpdgDL+mxT0d0iW9ryhI0pZMjFwD2uCvOTYMc95OxtMnliKsOBbFms6+hszERagNv3MnBP91haG/Dzn6zzxYfnWO5NMTchmQsycAdWd9ezwLLmS+q+yRjcau/Aj4CIu572WIs9ZnxG6rERoytUmtrmh5bv8Ibr+zxyIKIb+0zE2naxRxovtLXqnmMB7iiDki5C2gQNBvZuk/zS/9bhy48M+LmPb+D08hSDSYdJT9BMNPUE/NiOXvaUHWjk5oGmFEUQnD9WA/XqhSlE0StSsnhxripgN9XCOlNZnUsWL23kjMGzNL42NkbbOjvk+96QcH5lC6vrNdqr53kmPPreDVunPpnEg+N/pQze7/eo1eqXP/XEg//7mZP7uGK7Sz809IaG1XCG04uwfU6hMx2upMGobCsRnSV7dJ4Ro3g0+evMAiyZW4yydlWWZAc6Z5Y83Zy7ACoHuDI40gLbURbcrpPa9jc3IfBifC+mWRvgOH3ufSblt7/S4o4H5ol0i/mWYDawssRagLlPrrK7yJi7yt4xjhPy4IuT9COHTfX884wzeG6lSeJEEbiKW64YkGgL8EEsGOZuSGRHrrlObnGqDIg2+2jBJpidFHzo9T2a/lk+/pUB9704w0Jcox9IWomh4RgLcieLQ5TJ4hKTgTw/hqKsHZcgKVm8uqNg9ZQUbM7oyjsK9Mx10aV0KRN4pTxVAuquYeOMh0k389yhJr2hw1pb0Dt2gDfOXfa/33LLbU8NB/1DQe3PHwn35wJ82DnBF+64i+mp1ubjx468bnWtx9x0QJpqjIHJliCOplnvRtkBMFndhbEHy2Rsnad8sy6bPNgqHim1dgnsivVQta+EGZMmeVbOVgwqSTH5KmduV9laDN+N8byYwI2o14d4Xp8/vNPho783z5GlaVw/YGNTMO2ntHxDw4dG1mFf8222M8gSQrZ+Jc1WAitPljspvcjDUwpPmiLApPJV8vKCvHYjSlxq7pCNkwPW+00GsShGM3iuxnXTzOZTmd2piiGkZeBqKx/f/ZoeN165xC/8/pA/+Nocq0mDvu/ScCUtx9bg+I5tGcybIZw86ZOtfLKQKmUCqEoqo2LlYmzORcBekSnjjouhiMMcCTN1TROXbz7aYKJhIZqkkCZdlhYOvW7fc+nmwaB76Pn9J7l67/b/dwDXOuWD771l5/GjBz92/MAhNs97SGlrrl3HMNHQGK0IYwfPzQt4tD3wUhQAzgGenwwzAvLMXy3AXSl1rdwEpmSTLPsmqwCXBiUzqVQwd5qBPMFzrCTxvRDfHXB8MeE3v9zgC/fPcHRxilbdZTqAKT+l6Zss9Z6DW2bglkVSKMi0t+/ZC6fVCPn8gw6HTtQIsglcRbsYJcqLMQ7G6vA4cdi7A955Y5ff/uoMvbpDKzYMY4MfZXGD0jiOzMbWUQG5W6FVuypsn5X81Pf1uWbXaX7jjmmOLkywmtTouw4NJahnQPeksRdO5jIVq19+XHP7EKvPy0ynudAnz1favHSi8M0vYikWWr1CatnvkNLgOfYznDmf0OkZHJUl+bTma3e/yN9oXPaxvXtufnun0/lzpcq3BfjZpZjahMPzLz60dbD6xKW7t5zhXDBNFFs54SiTFfWkFlwZ0EQ+dCb/AkX2K8+IiaIhwVTYm8oXNdkJI2fsHOSiBLZ9zIqGMnBb1yRn7xTXSWznjpPg+yGeE9JNI371Mx4f//JGzqxMolWN6QnFtGeY8DT1jLnrRfpeZnUqmTTJvPMC3J7NXoZxxKHTPr3IZyprzVN50il3JfIsrKnUpMQOrYbDrq0Ryh/SjZoMPEEtNoQ5wJ00S9SorEkkLwG+WPCqmJvo86Pv7vPe2xf4+Jc7/ObnZlgeNBg4AYGjqDuCmjL4ibFsLq1UcWRZ3pBnOS9gckblSgHui7H5BQCvklrF+s3cNyMFqbHyrNOzk7QcZf9NHMPRhRXmtj9/6fSM2nrL9bccN2aIEMFfDuArK0sMB625tU79M4898qT7pus0URISxbYM1jYq5EtoinJ04dOWX3wM1FSu2sL+EwWgL56hNBU70BTAHpEnMquSU6kFuJPiqBTPjQm8CM+NaA8jHnxW8od3tvjc/TMM0yae5zHjCSY9TcMz1H1D3SvBHfgS35f4mTSxiaHMmcgA7rk283nsnOG+J+pEsYvfMBcEmPmtSHNnpahRrHBdhzfe2OVT3+xx4HSDQWDrpUPX4CXgxho30ihl5zRaGSHL4T6U4Em1JNGSuu+wYXLA//nBPldsD/mDO5s8vm+CpUGDofJwXYfAEdQk+PmApdxelVZiFgVronL8MyYfL86qMnpBWnABoEde58SV3ZUBYWw0nmiDG1nJZIz1yruxw5nTT7qbZ2/+DLr9il6/u/SXZvCrdgfyzImDN588+NDEVFCn3Y9p1GJqvijqvEtg5eDWWQnmGMALthZFYX0O8gLCZvQLl0fQIHMmL1LKuij3tLrb4KjUAlylhRxxnJh2L+aB5wWf+GqLO5+cYLXdRNYCmjXFpGtoeZq6a6h7hppHxtqWuWu+JPAUgScIPLIKPZ2BW+O7Vn8rJ+TgaTjTDmxiJdO3o4mT8qTaPsisw0VLoshhQ0tw+bYBz51M6McuYTbj24vIpnvlk3XzRA3Isc6cIojPbMg4tfXhH3jjgLfetMa3nuryu19r8fi+FivdOm3p0fMcPCXwpMCX2B5OaXBEHtdk51pkZb8XYfAL6ldegslLkiv/Tf4LJPbcJgoiLXASe6HltKcNzNQNK4uKL/7ZgxPX36hu3rz1sq/ybYYHfVuAJ/2T/mSz+2u7Nz3fGExGBH6Kq9LiC4gRmaBHC+grX7sEthjR2zljlxH5+FGrShMz8vutLNGZ5tYomdqB+LmbIWOWugn3PuHwlQeafPG+Cc53GoggwG26tBw7l6XhamoumeyAmieyu8xKTjPd7Qn8nL1zgDsJnpcQeBHGxNz1pM+JczVmpwWu1JmOFWWjb4XtzEi5qWIQuuzYIHjj9X2+8HBEL3YZxILANXiJZfEwNpVVShV+NUKOyBR7l2WjgrZ+e80P+cDrB7z5xhX+9P4uX36gzr3PNjnfrjMQHgPPwXEVjhC4UuBKiStMJrUMClGRhqP24djXK78noyC/AOAFmDJXDIFMs7+XefIjgFVw5Kzh7NePNrbvufnXWDh5BTD4SwH8Ww8+jqLDRm8/uzY16Q9VRTuPjWLIA0BRFRnVDKQoHkdtQIGp2iTZN64ug6ICbCHyHR40IgO446R4TkwQxAzDlANn4PhZxae/McFXH29xfq0BboDTcqkrSdM1NB1NzTXUXAhcC+7AtTMJbZmprNxF9nOTgVwXIPdc25525KzmuWM+uG62zJcOihhJC44u1bY5QJCkdpzz1btCrtzaY/+ZOoNAUE8EfmwIFZm1pzP2zt2U3IIstUrhs2dWpNYqmz7gMoxcarWQH3hbyLtuXefrT/T442/WOX42YP+ZOtG6T+I7DB0HqaRN5wNO9pgzeSFdKIN/GGPycQYnb04RIxKlOvVAFEA3xfNi1cssxjQUzM6cJRw+M3npru/53vNt89vzE2NX2Z8H8Cg8IvqD/v/+yx/7T7PnlyTf+6Z1rtmlEVLhqnIqqU3qiAsgWoC5kB4VnT2iu8uLoQC3KB/LiyfvQNF29INM8X07STVJUxZW4Bt3Oxw5XeOeR2ucWatx5GwDfB9VdwgcRcMxNBxtXQTXDs4PXDuuzYI4v8vsrjKAk2nuDNxuiu9a9rYXVsSxJdh3vI4rR+1BWTlpeT146QtnTorO+hoTlyt3DLh8vs/zRxP6iUszFoQOeFkqW1UALqVASDnC5MCoFZfLoFQWfZRx6hK6Hq1axN9+S8hrrulwZq3DXY95HD3l8/Un65xdCUgHLlo6xJ5CSGlXiqwr38qJXK6IC3R5lZ11gYcLGd3+E1Oy+Ih9Zg+WiQ06NggnRsiYmy7t8z1vXqG7/sRkt/vOH1cq/Hj1T/6FAP7R33yYJEk+9OUHaTx3dBt3P9Pnqh1dbr+uz5U7hmyYgku3axR2NG/R4qTz9EMV4NXXjEgRM8bcQCViL1m7kCIqxfVT4tRw9JTguaOKbzxa5/ljHi8eq9EJfcLIB9dDtVx8JagrqDuaWsUH9p28TiMvm7V14X4mSzxP4XkyuwBMqb3d1GYWXavzAy/G6IjFVUlofBxH4kmDU7HZxgi8AHlqRvsdo8RF4DA3HSHVkF7s0neEdTrismDMUXokAylzkxogH3aEwGhZMnllMJKbqmL8RD/02DgVsX1DzA2XhAyiAX/nWJvnj3t845GA544FHD0ZECcKfIWRCoQklZVsUEHfF2HRKvMVtF5R6sUk1Oy9vG4DA7HBIeWynUM2T0bs3Rly+3URe7fD9nnJ/pNnYf1P7Gd6idtFAX7ohTs5vdBVn/z88yLp1JjyYf/pBs8dn+TOJwZMqAHbNw+4eveQt7wy5PbrhmAMriuot3KWFggjSGJRsHypuS9SwG5yeWPnl7iOAaER0hBHhv7QMvrx05I/utOnHyuefjHg8Cmf5Z5HmHrgeKBcVEtlM1agrgyBwo4zU1nhkbKs7bnCJj2q4HYlXiZLfA98j8w1sSlz19F4bpJlRGNqQcT5tZRvPNSk3fWZmhA4mRefF31d9Lxnmb0iINSSMFTMzijeeuuQrz8+4GS7wcCVVqY44CYGN84968xjl6m1C6nOOpHF39DGqfwNC3QvVaSOInGzsQ+xa61UN6bhxbzm6oRbrgh5z+uGHDwleWafyyBS/ME36hxbcEFI+gOHNFJ5+SbGyQE+ZhlRBXjFI81YWyQGYYzdhMAYao0U19VgUt54a8hbXjnkqstjdmw21KRLK3AJY7uPkC+bnDy+LNaTq9SnP/e15IN/621/MYBLadi+qf6rV+0Irz1zOgUj8JVkLfJZi3yW4gbH1iMeejHkM3eHzE1GGJ1y/eURH3jTkDSxZZBzk5rrro5oBKXPfXGlZI9CPpyn3Rc886zDSkdSCySP7nP50v0Bw1gxjBXnFjy0cIiNixYuOA7Cd3CkxFOCQBqCDNi+MvjK2BpwJ/N8nZK5vbwvswC3yno0RcHenqvxvLxAKy3Y2/NilIq4+ynFFx5uojzH2m0j+vulGTz3wq0Ol8SpYjh0eddtA774YIc/uGuCXhLQyHS4m+vwOE/KmKJbSAhZAMz+KTniXFQbhpNUkjiWyV1HkTgOTpJaoKsUpewg/akg4bY9CbfuiTEi5H2v7zOM7Ti3P7vf57F9HjVfsNxRPPO8R6cvM5V0EZCPULotrW0EhuteETE7mdrGl1Tz/jeGXHd5jNbYaWITEq1d0tQljHxW2nZWZacfcOZ8wLPH4mv3XNX8VeBH/0IMbswiMN86c/R39xw+v65WegZXClqeXRYDJel5Lv3EJUx8FrsJi+sxmJiDJ1O+dE8KJsWkhomplJuvjWgGGq2rS9PFAU7mOqz3FI8/59FpK6Qj7UwU41hmEg52LrAD0kFKiSuFBbM0+FLjZXNYPAWeKmf0WZCLsuHBsY0AeeNxFdyW4bOyWjdn8LRyT/Ad2+xxZtkjCgP8CYmXpb1zB2AkiykK4iozugXIJalWRLHLVFOxbTbCE0MGic8gEdQcO2IhryHJE1r5dot5iXL+t+zfkJls1GX2VOusZ7KURkmSZnkDle1/lBAnKSq2uQRHpUiZsHVWZyuG5ortQyIzQDqadlvw+HMO632JKhTLaFA9/o7W0Ag0t1wbMzFpMIl1fgIpkChS7ZCkDoOhXWGi7B7GLmHkkqSK6VbIhtkFdXKlveeffOR9rVtPrXYu3Tb97QF+/vwqjur84h986djrv/nIgIbj4TvW/3SUwZUaPxEEUtCTLqF2SbWH0SmJSWjrFEhBaTrrmnN359GEHvu6o1+5urwZIdD5lgtkNadClUGOlJmVlYM6SztLso1bc9+48uhknfSKbOs9CnDbti6Fl4HbcyhKTC2DZyzuaLwsO+q6Mb4fc2pZ8/tfb4Dj4UpRBpiFPBEXMHjVXciHhFqw2cE6Uezy4bcO+NN7B7y42KSXutQTuymtrQI0ZSeOynMC1WAvl4S5FJKVAq/8rotaGMdRuKmdl+JmQFeyTJrZuvHsudDZ4KAURxiESZmta/7GqzWItHTRhOYiIWfxuQrJmrqksSxszSixF3qa2kFDcWIHrUbZzMMoLnfH833NKy9f41Tn2defOHHLLxqd/L0/l8H/4NMPIKXwHn8yZEvLxVE2Io9TY413YS0wezKlnTqqFZG2V50xxs5ny8aApW4mNotUV+XLVoMjYc2hsqon2yNTyqIFTQlwhU0r+8Jkn8O+diRZTUXWPZ4XEjlU5qCQ7cxWdtWXAJeFbPE9U7S0eZ6uDM5JcDP29pwYKSNOLAiWOgHCcfAlI/KkSM9XLLSqi1B2MFUDQTvjb6YVsmPjgP0LIYPUYZiCnwrc1OAmmQ5PKJylMoWuRjoV8rjOTtrNO2tERRppnFSTKoly8u3LVVasliKVzlYKXVqzGchF/rfRY1ZumQspLURTMReEpbuK5WyHpebDhfLJWXbfJjuLUVmQRw5hbEdmd/sCcGl4MScO3OVdzEi5AOB1dQ4pBJdvTmm6DoOw0sgaZ0kdIewjGkcIPG3nR4dSEhtItSqL4Kv7hVS3T8svbCHsspov5YUFlXuuGaiFdSYcaYoaj/x58V5G9mUpKEWDraeEBfsIuKV99HKg58FnBu68+8fRhURxHatPPS8mIebLD9ZYXKrhTii8ag1H1UFhTJFWK+wqVZZ50mcY2gm273hVjwefHdJJAvqOQy3RRFk6XcmyICovOLNFbvlfygNNUdiS1jrMZqoYsikHAkcLEiVwUpntYmdreZIM6GUyTRcJttHE3miSr0znVwcKVa5w8mRfpWQDy+D2OJSj4eJEEUUuYawII6fYDS6M7KZZ3QGsdg1anrqo6h8B+MEXvozvB69+5qnHb1xdhTDy8IYpw2GKG5lsAGQWJGTV+0KATC0A/WwEbywFSWboF106F/njsnLyhbCbdosskeCAtdpE1rwg8vkmpcZVObCl3U8+H4VQBXYxB0Vh+xEvBvA84Mx1t5PLEpPp7dFacs+N8dyIhbbmycM1cDycTJ44lQKl4vuNIdye3ErVXdGXKgtPPI5drr8sZGZyQHutTj9R1BW4if0uKjX2HlcBjgV58YfkWKWmyPoms2mvSpNqgasFqZKkSpMqQZKBvFq8lpdDyBzkOagrE7IEltVHqj6LxN84AqrgzgYLXZB9tZNqq+DuDx36Q0l/KBmEkk7fsLwWE7Tkjbff/upXf+ZPv/bA+/9m6aaMAvyERqnobxw9ra8bDBOaddd2oiuBkimG8Rkm9pKUAmKdNRNnGz1pMnbi4rFlHofIzAnPl/OSvfNULReUcDpyFPh5qadtLs47VawsUUX3SgnsvPnWsnemuR0KvZ1bgpaxS3C7RXVijCDmjvt9Hny+ifQdPCns/O2igrBsoysr/sazmdlotILFM/2pFYOhy61XDXjna7r85h1NotSnl0qC1BAm5SYCZdWfzuScHrugXorJQTsyO5eiAHeq7DTgRAmbvVRlrU8O9ALQslLNOcLeZZKOgskvvJWl0eMj4mTh28dxue3hMFL0h5JOX9EdCAZDuwktJGzfIK7bNDX8G3EjeeCiDL64cI5Go/HWu+6++/vW1toEvm2P8rOZGkLY6VRRnGZFMPYAG5VzkiAVBi3LmYE5S41fvyOlr5gRpit6Kxkt18y7THLmtluQ5K+zOeOKog1rhMWzbhhXjYLbjlMYY+6sZ9PL2ttcJ6+WTCr3mIiYP76rRWp8VJG9rAaYZV9j7myMaHDG2vW0tKM00jzYdBC4fOANfT755ZB1HTNIAwapwE0oWFxKg0xEUQ9k7cLx2iNZsSZFBeSC1Mm63lUGcsegtJUrqTKo1FYw2uyxLEqTC6kyUt2ZDQ8SY1lo4KVyQEWWu9IvUMw/zOa9FyOXY5GxtqDd0wyGdjyGAJaX1lheGX7frbe94Z6zZ89+ffPmzaMAVyJCp+qymWb30p3z6yjXy3oGBcFAIoUijFI6/bRAawE+Zb+MqgZOObjHkV0prMkryHKgjzYPjz4f15y5i1Cd7aGUKLV4VnE3MuwmA7ajROmkFHag7bi3jckmY+4ywHQq7O27EU8elhw6G2CUi5IST2qc8TqNigAfd1Hyuy6G5oiKXy0LB+HSzTFXXtLj4YM1YuUxSASBBDc1OInIipKyLpwk0+FIKxdG/qSosLioSKO8bSwHlq13seDO2tmUqYA7rwUydtvwgsEpVo98m5i8xKI6a+UCiI8U4OWtjNlU24zZ81pxjd1SfL2bstZJ6A8swLWBUwurzG/rXnrtddFlvUH89QsY/PzKAlLVCLxzXHHJElEyQT90iSLJMFL4ruLcMgxC2yCac0Qx7kuCrAL7JaRJydyV52N6NQe3Kmq+S9stL99UQtjueVGC2waZougWdwpwyxGAV4f/2G57CmAX2UqnrHP3HJvYsV1BMYaYz95VZ2WlhvAd67tXL8LxGpSxC7yqvausOuJNa0UcO8xOS97/xi5PHm4RpgF95VFLrRbPy1mVJAN3vlbozBPPC3MzqTKmx8tWwtHeyFRLlC53m86fywzURVm0zPc7yuWJLGr0R0E+rsdfQqpAweK5nMLYY+k4mrqfoiQsrqQsr6fFhrT9SLDc1Vy92qE/WKTbH14oUX7qo19B4DCITvPht3S5/dqYTr9GnDi4yjA9lfK5B+qcX/Goe+UHExUWrpZHvkTnQsHa1UbWUp6YEdYuWHxkvFjJ2LLK4EpUWDyXKxLljALcc7IBQG6+dWCW4XQMbpGK19nzdOTuKNu58+IJ+MydTULpoaTKspejF+J4BnOcvKokMKrDMy2e2WR+6vD+twz5xFf7PHu0Rqxc+lLipTpzjwQyNZXjZGx7magWIuvsb43uW1Rl8lTbMdY6Z/E0HyuhrRQq+jbzuSyiuKCTqg6X1Tqi8QYJc1GpUiXDal+AMfZ7KEdTczQzrRDpDPnDuxssrXg4jiBMYC2EV13b4W3XPMzg9DmETkYBbswxYGf9t377v+765kMnSBkwO91jYiIgDCWdfsqJZcHpjk9vIGzPo6ywriylx1g/6ghrFye6emVXZcpLShRRAGd8HLKsMHYeZOZTmxwn3+Q1095qDNx5+t7NG5O1nRlStIjlPZ1Jdo9RbsShMw7dyAPlZPLEjJXHjl+4owgfHWg05oVn3Thl4seh4Qr2bBny7KGIVPsMtEeQ2pptJ9PgStjRZzaxlAd1Goq6n5zJRZnhzFIUTjHY1L6nNKTSAl5lu1NIXU4IyLu20ry7vzAAKgGmNEXJK2NMzjjQx+VbZbmzK7ltqJlohiSss21Ln8PL06yu+SQhCDOkpvosLNc5tbZl1zu+90fqjzz/4/1brt5oAX76xAKe137L9Vc1fmLb1GnmNwzYd04ACfuPePzpPQGffXgWz62xMbDzLEqnIP9Co0CurMjlMj0uTbKLYzzAFDmoc6lSYUU1MlQzBzlljbSqgLp4niV5FJkXbsFtAVwOBXKr8qTK3irr6/QiVrua//wnTVYGAcJ3rTyRZmRVKQfnfLvam0r5qK40YRcMbh2VJHFo1R3+/nd3+daTLVZCj0g6DKTEy3ooy5EPGYNndT1kujg/OQadgVtjkGPOisgY3BRBeg52JUXG4FYSpYV7koF6rHdTVtm7OA4XAnxUl5sCMyXbZyCXttEjSQ3b5yW/9g9X+NIja3z+3jpHDjsYkXLwCPzKUsT3vLf1E0efO/DAoD/404LB7/jWfho1n4eeOcVXH6zjOfWCXc+teSyt1PAaHk1H4kpdYdvywFabUQsQvwSoR+RJBQhVYFR/b1Wa5B0yBbClQKpy/JiqgNqREieTJE4B8Fxz6yKodB1dgNt18vqLUfZ2VYznRXz6LpcXjtRAukgp8fPSWFHuJlHsEZ99yZesJqywebFTRUWmJNq2nCWJy9WX9nn3azp84qsB2vEZSA9fiiLpo6QgLrZpvJDJRZXJR9oIy1yFVqCMXRW0ERbc+ZQwnQ9xysdKlLNoyiDTJgGFHAW4zCRLaS5crIG5lDb5e/lqbbIB/KmWDEMfJVv8rdf1uf3qLkvr+S4Vkv6wRyz3Ea45KD0oJcrhc3bg+8HTDgdOTCM81yZxEDiuoDUBDQeaji5qPUoNfGFRf/XDM/K6OktwtL9vxDMuvpwo2bz4m38ewGUJ8CLRkwPc2DnZmRRxVemWuJXhQKXmtuztOnZq1Vpb82d3N1lu+xBk7omoBGMvIVHIa0TGluGL2na5ZaglOs3dFIepluK7Xt/niw8OWen5RMphkMrMnhSZeyPKZmxZsmUObGPKrh9dsHnZ7e7kzorKnsvstbRbzeTHvQpyIUXZG5uvurkOl3mOI2PjarBZDcDzVSfHRIYPk4E9FQKZtd0NhU0yRrFLLUjYvTXBTvgSJHGMqPdRtTaY0AL8yWcOsnXjzM5P3/HAj586vcDclEIoe2XbdHhW0JSNQPOcss5jZPTuyEkVFwX4CGuTd6GUc0OK3yMvlChiBNijs7+rHS52uDuj4M53NsiZW1WY+wIGz8dNlCMnHGUzl8eOCw6eCND4COkUzbll9WA1fhAVV6O84sfbtEYssiJlXzoqti7DAeOwd0fEpZuGrOyvYVLPsnhqZYpTcXHK4K5a6JXXBMmKEZCxuSl9ci1FYR1WYxul7UWjJZn2zmSqLMmo0OE6L30WxefIV7SRz1XIKFFIkrLPV6CFseUeRQNN7j5JYsextrU0CJl/jxQ3Pk/dve3Hg8k3PL2+/ObjjkDTHQw3TjfUW6edPmrSpTvUpdcssgKmLLFTrWQbKSrK2fYlpMjFZEk+Fmx8Fl4pT0SxTOWdK1VgF4+KbBRw1Qev3rMtrVUV3BWQZ/vVu1lpaM7eKnvtODFKxXz54SaHlmvglfLErViXF0qusQDqIjJFXxBw5hnNUS0eRQ6XzEa849Y+j71YB+3aclIpcdMsu5uOSqVylcwjodw2lNmovIr3nD/PJUGesJP53R77NFsxZA50na+wZmwFzqQKlVmHsmRqKkRYuC5QTE3QGciNMRipMUbZVc3Y7QodxykKwGQmm/tDlzOHFbuvCd66pTnYGEXmuLNxxuD5cMMezd/5rnU+/2CdfUcbNDw9AmQlzIgsKa9eUWHdCrDHpEox/Kbyc5m9qGrt6pCcHNDiIsAu2FyJShNuBdzZfMJy2w4uBLZTDggqRrw5OgN5YuWJiqnVIx4+oPjTuxsMhh7UHRwpcMWoNBkPMBk7BhcAnDH9PWYZVn3xOHGYaDq85/YhX32wz6MHPEzDZZD6eILiQlMVFizT5dVw34K8mjy3wWd2gSnL5qm0elxLipHXeVCvZZ5lFpWdIUSFybPxHlowEmimo0RWHSZU4EXnGMh+h9HWlzc2oZWkmQxNRksIGrWEE4tDPvkVj+/2BLUZw3obnKVOSCPxOL485MtPCQ6e8mkFdkbI6InLXYwK4MZ08yiDjToJF7J4RZJUQF1c/fnByi8iWTmAhT0ostqUEtwlyPOyWYPjlCOUnWwTJkeNAt0t2NrelbIBpudFxFHKVx+q8+LJOrguQqoMVHm9TMVFeIkqwhFHpcraZFNZdbUeo6zJ0BW7MIocrtie8LZX9XjmeI0w8Uily0ArvJSxz1JhSi4EuRn7LKj8YtNoZWdKGkM2fi+TJ5l0KVZUCVKPzTI0WaCpS+xczFAoYxNTkFg1my1EtjpImzxKtSkyqKIoEy67moyRXLYl4o23rDM/08FzhtSDPs6v//ZX8F2Hs0sdjh6bYmND4jm6DJgy9q2ybvVDll9AXPxLjP8sX4YY+/cVwOcALlm83IGglCYVq7Bg7Bzg5eTUQqJkzG0Z2xRM7RSP5XM3Cy4dFeN7Ec+fEHz9wTr9gQcNFynyysGKVLtYFrPQl/mtqsMzwFUm646Xz5aVdaro9mk2I952W8gX7x3yzFEfHI+hlniZFlcaVJrr2JI5yQO9tAr2Eth2FB+ldJGWzfNVJV+5dZaxlrrMKOeyQkqQpkJWmQ6v5ktG647sZ7GsPW402Au0XAVERXaN2o9C2m1PPNfl+l0ROnqWg0+fBBKcmaBrl/ipGHeHQxjbbUYu2DJkBLBjDH2Bvh4dI1Bl6vx3SHEhwEckSlVzFyC3eruazVQqqzDMKgptO1f23KnOBx8Dd3Z38ym0WYG/oxJ7d2JcNyYxKXc8UOO+52sQOCBtQ7MryhLekdLY6r364iU0ePU4m3woqS4dlVTLEaCHQ5fXXd3nHa/u88KJgCRxMUIxEA5uSvGZRFqyePkRLs7k5d83KJUzt2VzlRkOUotChxd+f+awWLALpGbMOi7BK0UWfF6w0r8UhsawUQSllSGg1fa/rJ5mMKzTCyE1PQQaZ37Osk+rIVDSo9PTDKOUJLF7Gers2+cH4YLg8YJgofx5Xmx0MfCXgUiVvcUI2Atgj0iVUYuyBPoYuFXl7pSboOaAdiugzp0T65jYR6ViPDfm6eOSz9zVBDyQLkKooouoGDh6UfYpGTuvJxyZoVApayiZu6LBjUCntnXPTqFVRfreGIcPvGHANx4a8vgRO0kg1op+KrKCr+yiSyvJkpE1pPwsxhjL4owSWqZabIZTZvv55EGxrmSWs1oRacpzKgtGrjZ+jDH7iBb/9mAvyVWMLD55gFxUGkaCtXZKrEOUijCAc3Ipsg2gHsxMKIRUOANBGOlsJ9pyk86RGpOqxqxImYtq7crz0jUZ1eDlQRAF8Ed1d+lWjIA8tyyLzabszg7lAPwS3COsXXnMG2tzqaJUgusmxGnCPY/WeO5wDVwXpA0uPVF2FRWyqlh1Lq7Bx6FlKk+KBohKjchIdWEq0SpzVFKHMHK56tIhr7vZsvggtSweCo+hBifN/fCsTiV3LgQViWI/QHUqbNW6VBKMMkgjUAab/cxGgRiRSZFcqggqduHYip3/vAr2C1b/UcBfQKCV50WJrbFzZdJUECcwjAS9gWG1nbJ1U8T8jN0WxXnFLjfjmIRwGJNoB63tIBWZaFKZV53lB6A6aE2MXGEXBTtj8mQE1BU2l+UmSDL72Uj9iaDYe6fYvTi3LEcaHsqtS5QaA3dlKH7hnqgU5VQAnkkUz4k5dE7wu19tEsYu1N1MnlC0pqnqLsE524gxtnkpiTJWmGZGltsK0M3FtLhDw5d8/9v63HFfgwNn7MWXakU/VbbKMM2SPwirv9MsiBtbSQzlOc0BLk2pxWWm0aU2mOwcGSkswHUlVsqZPJcklWC7MBIqWnvURRkrbajGfpXX1Qsxr4BMMoAPQuj2U1baCYOkztkV1xaNrfpv3rBy/sBPp+372bvNxXNnsR30MitVNMWeKjnbjDcOj19tiIo8ueCKraTjc5BXl7BKRF4AfKzISsqqF29KgOfAlnlwOQrufLZfqbez51KX2jsLLiOT8Pm7Gjx9qGbbfYSDEjZz6WQ12NU8QFWmUDmJ3/Y2osFLq7BowtXWIhuZgKUlWjtEQ5frLx/w3W/o8ct/6DHQDmiHWEgG2sYIRYCWlsk0xpyV3EEpmoKNydjbrirKgMm8b2NA5sDPwC1NRkZmdBXLJcuodBvP9IoLAH8xshw5ZJVgPC/vjbOYMUogos8VW87zA++/+ad3XrHnI07dLE0u9JO33/WIYGHRYbppi3OkFChHQmqjVjMiUyqByhiD5+xVBXTx80KHiYuCvVjqqsAZqQM3I9q7AHpFkqiK9lbFTg+VjaiUGZMkeaVgWoDbdWIOnpV86lt17PwVy95F534lyVUdL1xNclUDTVF9URDFqO7Ni62K1L2u1EbnwDYSnSpSlWnx1OGDb+zzhXvq7DvtgowwQjJMXRxEkT63TkpGSmme+MmZuyKdjH1tstlYOZhk5bG456yd2YJGiyLgNBL0yLl9KYCXx6a8AEcBnj8UK12VwY0t/NOZDJqfVlx5qc/l2wasrKi3rz/em3SSWFP3BNtnm+jUI07tQJx8sLoQ1YOdL2jlXy+Cl7Fg4MKrVLwEg5dL2kiJ7Fh9tRxJNFWeF4xtChZXY+B2svnlTjZ62HGyeea5360SlExQGYOnKuFLDzTYd6jU3lJI630XHTQvfdLGWap6nMrjlz8fbUAe8cQrE6kcLWxtiixT+FHscMVlIe96dY8jn/KJUgXCIRUOAyFw0sy+Iw90c0elEqll7YY5O1pdLlCmZPQc9Kq64ghTpvgFaGn1us5lSkWL52C3zy/uougL5ElFJIx82lGJkqsLY8B3BEI3OXbKRfguE5MaZ7IhIFHs2uzj+y6ITP+lkAiKIEGL8pePt6GNXm0XApmxpSifSjoOkmqAcuG2gOXrnLVzsDvSXMDiJZOXulvlQaSsSBNZDs1XKsV1Y46eU/zXz7cYSpd8glbZNV9mdovai6okGdFq30admPJYmswLz1vYqoNMSw0uRupT7OQnFz9N+Hvv7fEn99Q5ctYBFWdSxWUgBCqXJ5keL4LNMdjk3rwBnPyCy96TObhlyeAqsxEL3ztndWFdlzzhoysEUGX1l7QFL0qYo8fMMNZul20LHkaGTh/Qgsk5B+k6ODs2CXoN8BK71/kghGEoiGK7nKVk+ruyTFxwqwaWxesx3Z1/mfGKO/HSzC0qrJ0nUkbBrUuJIkcZ3Bnxt3OdnTN5OnqXlsVdJ6ITaX7ziy3OnPdBOZk1KDN5YkZ87+L5S5yo8X0mLwr0qlQpGg+qPZp5Cl8W96IZQirSxGHLXMiPvLvLL/yuRzu2U4+MkYRaWdswrfjIqaC0DUuQl/9vf6IyRBlDxtyW1W1mM9PhItv6MZMrRtiLIAe7ERV2vmC1u7i1fKE1eCExUAF4khqSxBAnmjBMGUaG9W7E5HzCINU45ztDpO6wc8t50nSaU4s1jFGFgNdZTUFRTjzG3gU7jy8vI373SwFgjLkrRftVaVI0GquyyF6JKqArTO7ojMVLQFs5Mgp4lQ2ZzB8dFeP4MZ+7w+djn20RatfKE6EKeVI0FY9ZYiO6u7i4xfiBesmTNWoVVkGfp+ztDmN5drNI4Wu7FXjgJPzo+3ocPOHx8S9ZLQ6KVEiG2vZuyjT/XNUCrPxkVftoS7vSgruULMYIpLEXeZkMsufDGFv9J7M2s7wAq6xLt4/j2nzEMRmTJ+NavDxWozJFa00Uadq9lNMrhvYw5NVBn7npAOfUimBp2RCt93jXbYpWzWO1rSpDqOz6I8f+kqg8GdGaL7X0jL0/2syQPx9rMq4AfWSLO2lGWVtm+2IW7+cgrjC5LKsDRx+TzPeOWV2DP/lWnbUwB7cFuCvLyVpVeTLyWSvVlNXgaBzfVa1dLLvZD0aq+iqb5VY7fYo6cSlRWqGzIZUTXsp739TnCw/UWekqkDFoRYzV4zlxFDUfIx/tpZnc5oHKpFBenyKNBbMFd8bcGfCFKME/QnAjuLBgz1f7fF+nAuxjzH7x1S/v97Sfvzs0tMOY19+8zit2D5lspTgKj2jY4tlDG5ifivGFoTuwG2/qso2vnOh9ETBfkK2sLjUvBezqY6XUsgC2GJMmqmyTGpEjF4A9A7c0mfQoA8ySuXPWLtnbrSfccXfAo8/V0BXtbZsacnkyWm9StGZV2HvEIqz87OJnKWPPilVY3R242gxRHY6TGokypS+epC6OTrjl6oh33tTn97/sgYpASIwQhNpBCWEnh2EqICp7Jkc0ecUHz9xiaxnKUkaVUsUCXht7bEyWmc5flxIlryep1H0XBGkHRZXvj6bkS1avAD+7SQmekMi6w+ykZn5DzCu21wlkkzSt4dxwaci1WwZcOTfkW8+6DLuaDZMJrpdtVzcWMIqxk3Zxg/6lmbwsmLkYi5sRwBfMLfLg0lTYvAS3k40Yk9KU4K64JXkyR6k00+IZyKV1T3w35shJye/e0WSh69n9rqUd9K4E5Y4NF7lAR+9i9Pi8tDop2Xxs2R1vRq4Gm2ak697un2Mf7fYnGxopP/DOHg8853NkUYKIAYVGMhSysokUjJbRXuSCq/J5vodpJkdUzuYVwFdZOwexqQA7/5tGWEVgt0GpNCUXUoYM3JXs5hi2DBWzQthE34SnuOoSWI81n7o74PrlgB3bfJyaF7I66PHksR5P7Jtn66SmGSQ0pIPM8tEvfUIvAuKc8Ud+bl4C6BUWfCntXWzRXd3N2FQsQl1h8fx5WgyNLBI6BbATlExxMlvQ82LCVPPrn25x35M129smHau9pbRdO6KcvyLHL8LxC3qMyavQGZOSYxnM0rXImXG0fLZaRmvLQ3XuqKSaRDqoxOF1N0R85AMdfubXPcJE2vYrLUkyV0XqqruVVfNV55UY25JG5fMpacWAosLmQhT6O/fFTS5Zst9vxnBRMrz95bpqPozgZ5Tlq8dTGhCy1IBS2hk3jcAw1RJcMZ9wbmUN6Yb0I4Fz9KzDgWM1vvHwFJOBQ6tWShBTXTb+vPrviv4sP6y5ENTFFzIVW7CqvSvvF+DWJdgLgGeDLgsfvJyAOhJcyoosyWZcF8GlTHC9hLsed/nCfXXCyIWaU2jvgr2rK4m42HEYbXKoArpozbsIfY94u4iKNCiLr4zKqwxHa8VTLZHaSpUc6EniUKsnvPd1A+68b8A3HlfWNkSCkMTCYZABzeIoZ9GKBpe5x2Iqn60abGb/RuTJIJG9tkOfynJZk0mTsk9Ui9w+vMhq/1IqYGQFyNg9q0HXxhIPwq4c7Z7DRGOCd7wypS00qYxxFld8hoOAXTMeky1FLdvZ1zYTlC1jeQdP/nih7VMBdOWqu9jPq8ukGHNORpi8yuIVaVK4KIUGz4GsK8xdAXplmHuhvaWdErveM9zxQJ0D5wIrTYQtiRW59hZUJkiZC8BdrERFTFIF9LfRJzm4DWVCpZpIqUqVscTPeL24lAqpU6R2iEOH3Rtj3vmaHo/u82hHWfpVWz0eocj3gRgF94VyJU/u5F8lb85QOajJEz5Wh4sc5MWxyRldjKzkOfCFGMPLX0DeZtcqaPtvtBakibW211BEcQPfddi2s0696eBsmHZwjMPadh+l3OJqKdvDxutAxu0xc8FVOFKPcTEWv4gsGWXyUa1dgpoR7Z0zdglyMwbujLUrjzm4XSdBk/J7X67xsc83McKxvvcIe5cjnMf9+XGgV0sWqIL827D3SCUfY6AumPzCVra8N1FrjU4lWlpfXElNnLpIpfnR9/Q5fNblY19wiJMS5BpBKCRK54Mk8pKLCsiLpSXTBFhgFdcipuz4ETnrmyJeMyL3wU0xneqCWKWCCyhZnov8vNDe2WeQ2ecRRpCm9m+k2lYUrnchjhU6EEyFAsf3Ihq1hM1zdl72IBQMQ1tVWQV23liQg+zb6/Lqh68uNRnTVUByMWAXszYqz/NpSlJVZUoF3GpcnozuWa+yvWesBo9xvZjDC5Iv3NOg13Ohpi5k76Lmu+LsiDLBU7AMFz7PQf7ncXh1F73K06LTvuqemKzpoAC6zIEu0dJqcSkd4jil2Uh4z+19vnp/jcPnspNoZ/aSCsEgS94LAUJn4DYl2A3YbI/O2uqyl0baupn83xhR7latK8fJZERpCpYWlZW/0otZ+OP5MbyQ2XOsjVus1S2+o9gQRpphqEnSmE3bEmqNBGcQNhCiz5b5Aa4bs7ASEMaqbEmqtoJlUqGajRxh5Io0eSl2H3VQ8hkeppApRftTRZ7k/XcFc4vqYPaK/q5styErskTKzDHJmNxxEsJYc+cjDb71VFYtKF0L8DH2LlYNIZCVizJfqcYdJirf/y96GymBGJMpWtvlP5cpJtuKxOpuXcoULUmFRKUSLRRx6PCm6yLedMuAU19xCXV24mwlFAkOQ2GTeCIHixC5DYLRpSZXVU2eU6ioSBRE6X+LLDk4BnSBQRQVhqPd9AUJVkoJyrjOducX2VJZlIKRTwiwXryhN0g4vx6TpilB4DE/Vcd53S0718+cWf3qN+5v/82nD/pMBZLA9fFcaU+wKtvBlBpNwlygw7M5F0UQUwFx9XX135cDI/PfOT4xqRz6WN1loOqcSHmh3q7agXkqXkrbqSO9hHsf9/jo70yQGqd0TqRCCFlsmZIz9SiDVz6/5KLsPQLubwf0sWTPeMq+Klc0+dSrrBhLlI5Kocml9caFdkgSu7/QT/5ghwOnHe59TKI9kfGw/QKxVgzIgJV9IJHFAyhR1mgUX8Tk4YIlv4pkMRV5Iswo0EtmHiW+8cTOaLLHvq+FKVL/OciVyTe4yoZzCkk9EMxNaW6cWGXfCcH6wP3qQG9bV+cGtd5jzy4eefaQ/5H9RyWulDQDu2+N44CXTYUqRp9V5qJUd1YoZUxVP+eJnLIaUFVYWUkqTQzVDCWjSRw1GlAWXTtV16Rg8LT0vit1J6rSa3l6VfDR353ggacadlMeadvRkC6OFNQk+DLfbGu0ufjCu6h8j7ERcsVrWUzfKhqmK7q+fF1t4B0tCagG3WVirEoMOVFUfmYMszMJvmN49FmP9YEcW2pkMUU8g0tGRJaexfjVaV76ah0NU8XIqpRfFNUShAv8/+yx2KW54ihVL/qCF4osqd3YoF4T7NhouHpXyq4tderu0g8QPnXA2TE3iZKC6VrEhkYX31XFKGK3mAiV1XuIqkQxlcGZ1RG5Ve2tx94vh7uMeuAViVI9uSOjAUpJUrL4mB0oK/q7CCyzUtjseeql/O4XJ/jTuxuYQIFQFp3CQUg50m9Z9jd+m475gpUqlDR+G3t7vCCzrAOpsroYO8GjHT46mx9oMuY2Rpc1KkIitSIVDnKQ8t7XD3jxqMsv/pZD5CcjOtIYlzBrRcujRpEHYJSlsvn3MFhs5OxeZfRcWphiRmGWujcwKlXHVnXK5zkrlz+rXsQ2Q6o0GGW1khS2rTJJBEtrLmvdGRLtY4wDGJzdO1bxfThxBs6vSOp1RS2QBF62nV4+S6SSNq+m1ssBj5UTWXzoC+VJNXAo5Uqpuas7BpRMr0ugq3JDJFV5rGpu63eXSR1Z1JykfOMxn9/5SoNhmk3BF7k1mGUthRnR3iPNFxeVZeMnb/Txz9MqeYdU7j1fkNHEXFBCa2TFKpQVZ0UoW5gls+IsqUm1g+9qfvAdPR56xuMbT1m7sPTbBBrHgpxy5FpRSFIEoICsFGUJgcolS35t5PUogqzwapQERqVr5ahUQY4pXhTHUYvKCmULIpUGY3Tx72RoV8fZCcO59SHn28KS8z1POiAEaaLxPWjUFM26oObbTVDdijwolsfK1VUFdfUDF4vVGOhHQV6O2i0HqFeDzArAx55XGVtmdd3ygqROWgaYTkw/hJ/77QmOnvExTrlb8oj2zoPpHNSMMTcXgrgSW44diHGUj4K8ahMWzF5ZyrXhInr8IkVZMqs4lFUWV4hUI4SDjDSXbIn5Zz/U5qH/y6c7zL6MlsXnSqVDqClAjgRS++VN/lqLrPAqVyvCBpmidFdygJflsiUZmgwEo6v82NGpvh4jymrso2S2G0Wq7UZaBgQOjUBy9U6N69n9j5yrLt+BlIrBoEvYX2F6AuqB3Rcy75Kxs0iq8+6qHy57baqf8sJTWv43VcfFVCzH/HmFvUW5bZ26IMisglvbDUurO/JW6k0cJyZJ4b98rslT+wPrecucuR3ymhNXjMqS/HHcxx/NyFbdkzzrJl6Sry84QGPOSdkAUSZWrFVoRoFtSgYvgk4tLchTiRbZPc2kitZcvzfm7/+tNv/x05NEacbikLkrgkQrhtWzJu3VZnS2usisuhF7bCBzeACjR1P0+XOZy5QiLsjIzogRXLzUbVz6lrixGImk3ZQrig1JokkSiRPMMdlqkKQpznf/zbcT1OocP/IizzzxFaZaCtfVI/q4ejKrsiP/AIWerOQIRj7kCLtXAqKLyBQxkp4fA7iosPc4c0vrlqiRexZYBinffMTn459r0h64NnLOPG9E1Tkps5blKIhRHV56uReZQTgSloni9cg5vAhrX4D3EaAbzEsB28is+tCMJoGEtRFTqZBG23qVRNEKND/8vj5PvOBz58MK6kmuJzJACxItCakGmKZElzYl4qTJN7POUvUCk63u+feQgElHJV2VGEcAPoadPJAclS9VsOerQY6nlG5fsyJTXvWaV3D9ddfQ6fZwGnWB5yumJhIu3brK3LQizvYkTLKdZ0e5+CK8VLG7yuHq5X82skhfBNhCjLK4HAGzGQW60BUdXtHeqtxDPa8SlDJBOgn7jzv818+0OLzsWutHVLR3lb0rDc8jIL+YPBmRJtUCpguX2gsoqZLYqZ7MkXmFxUmvzC8c98grYC+CT63R0ra3iVyqCGOlSmy4dDrh772/y/EFh0NnBMapCiwB0iUxkqGuXLAZmMlAbHdDsfJEZdLEZBLEFCsZRdApqLJ4eVVXn1fr4keC7pdGHZB39cAgFkSJoeZG9CODkAqDxDm/njDR0jx7LOTpZ1d4882CiZrHdFBnEHrEiSoO/BgJlSfAlMVC+W4Bdo0ao6iqbs+bYSvWlt2iLn8sgV0FeXVbaTWS3CnT8VKlSJng+QkLbcHP/VaLL9xVx7gVaSJy9hYXsHdZ920u4pyMxhXjSZ0qo49Qj+DC45e/MBe+d2FNSlWH57UppZNiZDUBZFdDy+ZZ8Ck0SapxpeY9rx/QDiU/8UuKxXUBviiZXAiMdkmkYGhsgJd/qBzESKtvVYZQU/l+RgDSFnEZi/WSvc2FkqSAiCnjjnH7cJxIi8NmBFEKvUgg/JipqT6vvnKNa3Z3mWgmeCrCWel4+LXawrFzta/f+9zet37jyRW+50093nlLjDF2AyJdMHP2hQofszpbOhvSWKljzkE/8oUukD6Gqh2Yv65KknJvxnFw2yCyuKtSmrhOQoTmSw82+OZj9bLWRObWYJW9y12Dq/MGq0vrBWWxFS1eBfYFhF1Zgl+ChEZT0EWQWdG21UaD/Dhnbkqevk+1QIgc5AYtNLJI5Ru0lAijSBKNrzRvuWnIu17V55NfVUSJKItusi5hox3iLL1eSpiSvS1y7c9MVq9isuy33SWlrCqssndR8jJCkiWYi60VybE1GoyPXwxRIugngrfeNOR7XjtkfnoLl29RX69PugtpTaA+/rFf4e1vvm19+7xc3zzJ96b9Hnt2eGyYTiuFTboYXlndv7y06C62nFeDs4oMqaTli2RPVZqMuSZSlmn4Ufckd0iqJbFJFlQmpFLzxftq/OuPTXDsnF82MeR35SCEwJcQZAmdfOeKfLb4hcOFcvuwUmWZtavZ9yXFHp5ydEi/ndQlRxM3eU5h/F4NaKs16MX7FV9eZkPm5eiKOLrilNQpMr0w3Uq54rKYU+cVh046dsPVgmrL/1hnsqOIJ/IAOnvM3ZT8dUHLFZa9mHtUyCzKYrI0HzhqBEkKibb3OL+n9tG+L0iyCWCOgrm6i9J1uuk1rPQ2/ON9B048csXVr7d79FyyZQ3HcQnosLkVMTNp9ZznJEjHXLi85lJE57XJurIbgUBoWWzpLbKKMntMrG950QTPiCwZZW91gXtSBXeVuTP2dlOOLUs+/vkGB4740MgZu0zsCGE3cPJlOWdwBDT58ypzX+RehGOiul3JRZbiIrASo2w0olQEdhh9hd3Hg03K13n6Xgoya9AgjLQzvrUgFXYn4hSVHeu8K98hCQ17L0n4wfd0eew5j+NLoiwDlSJjaoORDlHedF64KaKoWVE6Z3IKjZ5r8pHAEpGbMkUixzJz2ZaXmqzRXUOSVQjmE6z0mETJb0oYAgdOnZMsno+56qoBl6V9wjDbowfAb12HVDUmY0FdvEC9Vt2uWZPvilW96SwA1UaSpIokm4BFqiyQ07wgpsyEVV2Y0QpCnenwitYWBqm0LawaYfI0A38V3ImVKMK6JqtdwS9/ssU9T2Ujj3PNLUtpIgXFzghFSSxll44SVca8MLh8Savw4krl296q3fUjVYUjy3cuWWxwV8iULLsncxlpwGhp93AQoIW2GcBMjwuhEBhSoaGvef31If/bhzv8m9+eZG1Q+RKSQpcbqS4AORWQk4M8+3zks1fkmAOSX/ymcpFnTJ6DO0lFxtoiY25Bkv28OuE4l42OEETasB4bAkfxNy/bwd+4/VrWO5Vd1nB2csklc3f+5L+996NO6v/E977xLPOTHnEiCl1sJUdpjZRbbChk4iCF7eA2WcWblKbwT/NQIr+a/zxwF/535SIrwF04JfoC5lYqYSgNv/75Jr/1uSbd1Km4JuWjEHbMsFtobnPREtjx7GXB1BXTYZSpDSLfMPQviPTx7vqqizKiyUcCzurGrTbuybdBEdlzYSQiCzqltLo8FTL7/oY0o8ymG/OR93VZXFH8yidbDPIIOQ86Zf4ZFLGuavJRkIsKyIvQMd+4ivLaqECo1N0mn1JlQR2mgmEqGKSCUEOsTVHJW66BduVyBKSJYONEjx94p+FVe898dM/uD9w5aJ8vAX75pfN8+pM/0b9hlzpWdwxKuAhhCPwIJVMQ1p6rJmm0ESSpQ5y4KKkJ8YpWKpFSMLYxVC6MMsjMZclLgrsCbFm4JBmji+y1yMFu9Teu5sVDHn90Z51OnFWK5bKkALll78I1qQC5TDCNBpMFnsWFj1zkNZX/5i+O9DGrrBpsFuA2lYtgzCPPMprSmEy22JmG1hPP9q7XyrorGYsLoUliQzOI+Z639Pj6wx5PH5R2nMOIVLHPNYowQ6swFtR5dw1S4FwM5BUFUx2pMR5050BPtAV2OxYMEo1JU4ROEEajCxvGasoU24YnhUSngn1H64RJ79hnv/Wv+7/4M/+iwuDAq1/7AVwv4NCL97PWvpvJ5jqu6uO5CY6j6cYGoWB1XfD8fpeZScPlu4bUAwfXDTAGklQCzgWuQFlbUDonI354DvKqgzJiCZbgHnFNinR8gnI1zx5x+fsfneK5Qz7GrRRSyRzgdr+XfMagU5lxMr4N4EWnbzH63khiR1B5VdorfxG5YophpmNOQbWCriJBtDF2yKUYZW6ZZTSlyFlcIDLgC22HsJW+uAV8KgyEmmsui/nVn1jnI/9W2HnoHiWDFy6KZfIwHyeSXwCZuBZYRi93vbY9mMUafhEXpepIgQ0guwkMwhhP95lwB1xy+ZDZSc2L+x3W1h2EkrRDietI6q4CVaPpSK674hW87S2vpd8fcgHAlTeP49URjs+5tS6ffVBx6myTW67ucc1lMZ/6Wg0hFadWXO5/ImDTnOGVV4S87roBb7hhyHzTYTAMKns9ijK4pOp/lwCv1liXr3XlXlqDhTRRozUmUsQ4bkrXCH7tCw2eftEnLezAajGVZe9cmpQFVS/B3pVg84LqwSqoq/KF0ed/HsLHfd0RNi8s2QsTPJlgrHjjpX0osoYIu1elsOymM0IxWRCqM6lCKT9Varj+ipC/+54eP/kfXboJ9iDlwwVN+dwgiQ3FkE2KfTHtFxbZFytcxfy4jJDdqD7Pg9IUQZQk7J1f4fU3rPH664Zcf2XMprmUB59wObMsQcIffb3GtZen3HRlytHTdb7y8ATNCYedW6bodPvFoSwA3h4IJh11+KGD9SNfvnPXpS8eS9HDLt98ykFrwdJKzdZNOy7Cdzi8IjhyF/zpIzGv2LnOL/xIjy0zkmHkFMmh8ouY0jMeY/HREtlq5tJkCZuqTNEVWWIzla6X0k/h419o/D/tfXecHVd97/eUKbduk3ZXddVlyTKy5CpbtjBu1OAEG/ISQsjjAQkJgYSEhDgJJe8B5iUYEgJ5J6e67AAAOkxJREFUEGNCCQTb4BhsMOASF9ywjbutZvW6Wm25e8vMnHPeH+ecmTN370qysS3De+fzubr3zl7dMvOd33x/7fvDtbeW0KIOuKlLUTQ4bTMDtzXqmN5qT7HY6W9oB7ITgpsC6iPb8CmRlDTHoNqcTMdY5vh4G2WRBJLoMlKbECKSpvtaWS4uFSRYdjUVEj5RuPS8Op7ewXH19WVMxmaHpRbbfgkOISkiS1WgTEJIGfqiXy6tVbeNyc5VzWqi2H1mBwqTpsJJC2v49LsOYuV8gmLoI44CqJbCq9bG4H4CQmP82tkNKKkQqSrWDpVw5glFLFqGrV0VuqUQZHuV2Qef++yVuPiiV22dO6Mys0xr584Ix/HfXnMY3ZVJ3PtIGaJYBi0UERYClDyOSkhRLTEUuIfaeAGlAsec3iJq9QBCaK/dCvPmy0uzeu9cl7wF95S2M8O7XYcybT0TmIyBL99Ywsev6sKBw74uYrftZ2ncW9eb+BQICdIJxZaitMe92xs2UgfUbVYgJh5OnXtiB2dl96TDtvbJFTlNdKdJJG0NpO3aNO31PE5kxwIW7eWp+dqPVGnWPTEV0FURWLsyxkSd4smtHFHinOXp5VhfkyUxMvqEmHBqJhTVMTGGtt9L7XBhXbkceloC+dVnJNiwiqPeqGC8VkAzChAnHqLYRxxxSEFQrMT4+s0lfP0HszA22o16vBjlrpX/vH3H7n9dvOzUqRYcAOb0+yiXiz948OfxG04/iay++AyiJ215ATwvRMWnqHCFApcIORBwhdBTKIUUk+O9eGIrR3dFIvDsYCdtd7SzaXha2ublpOxdh5KonMWmxOnUMXyb2vtA4obbivjEVRXsH+U65tcWMQFhAGyt99TR27kKwem4tnugsuPb2TZ3tOJHWU62Lk3b2wiKLbZ2LHk+da+znSA6Jq6nLWTpfJKW1dI0fa/DhApEanMrpJb0IUQhjhQGuxNc/o5xjExQ/PtNZSBMMguei64QTSmUOWGMLop2Pu1zp4AsPUf0CchyACfwPYJ5AwxdXi8e31JBpRgj8BP4noDPE/hegtD3IBUF9RI8uKmMG+7uBjlV4pXrao8MT4Q/EInI7VrqPlm5+jx85Vs3/7RWEw92lSnqTYHbHilB+kX0BhQzQ4negkRPQaG7KNFTAnqrBP09BD7nGJ9kmGwwtCKGOKHGkjvpfBcEbt234d7EAbUb62bUDQ+aKsFQYMsejq/fVMK+g742AdRNxWeOZS5q4kZMoFIe7oI7E413oiEkm7cOY63caAmx254ruPM4z7dyIYsuTFHAyoUPTUMysse5m8xAnk6KSLXGzU0xSKlvScQw2Cfw26+ZxKK5LT0bRCWAEoA090qLVyqls4stpZMzidTDoTK5C+SOe3vZMaMA5wSBBxRDgkqRoRVx7BsJcHA0xOHxEGMTIcYnQ0xMFjBRL6BWLyFqFrFhdYQwTFBrBVACD+579qafXvL6C3L7lLfv5NeeOxcgDI2Jvbjt8Rh3PjmA3qKHmQWJoq8tduABgUcQ+gSFgKBU4Ah8fa7ECRALAm6KfqyunT3u7dw7VyZLNcgtmHPOpa0OpAm4L7B1j4e//UIXbn+oAIQuoF3nUkdNrGPZqRw210iMNjqVo1Ztlt0BPpz7dmwTdyPJJ3EsqFO75vQc2lqfNLriOJNIQQ0dFoSJotj4uA0TWodTUT2vEqbtSxIQ0LShlyiASOfbEAXSVDhvTQsf+4Mx/M0XuvDsPrMDc1EVzc8VZYiV7rJJRwsqIxBkC8KQ+RTpLyZZuQNjBNwUmbdihdokBQFDkhBEAUUQMwSeQJSw1Mc764QJnLv6IGr1BdhfWwyZqsUeAeDzlm2Ax3n0qS/twrU3xyiTArq7NLgDrseb+B7gewSBR1EIKMKAwfNMD545eFJB1zEo9we5hVZOgRWVmbPpWO80HEiykKDnCWw/yPDhf6ni2p8UEVGWJXNS55LDFm4zgqN0yacXlClZySkJnTaLnZ20ecPdicrknFInueMmcoCpVEU51jtXimw2ZsKYymQ5s8I3HRrMMp82+aPv9aVBHwtq8qTG6ZQcAkDAE1x2QQNCEfzNP3dhxzDJ0r4KOaoiFUUEDWqqFKgkEKZtLe8Y5wHefpNKIY711DRKKZQkSARBFEu0fIpmxNBscTRbHsolH3/x5gmMRAUsXvnKSMoEl//ZUQBOgz70dHV9cLDvxBXL+0c3iLiOwCN6HjwjRkaCaKD7FAWfIfApPJ51h6crd7oqa6cyS04zC86om4J3b5lzybnAjmGGv/xcF75zSwkRtWpU7TcdEmRU827fFnXRqdY7r7LlZlmnsdptoD8iH38Oyz1pXCllvRs1D5+SBHIygcSJhxM34wlNTQiRuYgKMX1mRDg+Edp+R6LAofCWCxvgDPjQP3Vjx7ALFid8CI6EUs3HpRbwFApaqxAqT1U6LaWnPAuhpzU0IwZqOKFQBHFC4MUUnCnUGAdnPvhhH9XqTCxffvJ/zZs//4NxPDrlbacAfGZ3N37041smVg6VNx5aVly/72DErDNj0+2MEnCulbB8nyHgJJWUyLd0tXv5+ZCg61BaimJT8KkjSRNQphsX9o1SXP75qgY3YxnfJu3cOwsJWunj3ARgGx7sVAXpBAza6UnmJOVb0tK/2QTK8wB4LjlmN6BDuj59bdafSdvlFeCGCLVwTq6W3DiaBLoojhhLnl1+bYycIxGAhwSXnt9AIgj+4p+6sW/UnOlObNz2qcVSR5q4ApjUszql1MKbmfZ5pyYOpasJhUIiJOKEoBlp2islQcKp0eXJyhiShIMMV0RxRu/GvffePnHGuvOODnB7YBuNyffM7CueFkX1kwHoOShCQkoDcEbgeQyBR+AbHy/TTcmk1ogDatdi09RyG6vtpN1T59JSE5ZAcoV//V4J1/7IgtvtqXR4NyjyTQzZ6BG3mUFHc9r176ZR6HISPO4J4Jq8HAO39SrHCm4HxO2Az4E/BXZ+8rR14PXfLbi1lbaRFSLdU9NacV32R6ywt/k0Yj+V6HsBBQ6Byy6qY+M2jiuuriKBYwVS6ksgKUOkCJjSY0+Y4eJSWYuuC6dyE9uUaSCWCkIAcWJqlMxB0FlyfeJIqZscklin7Xt6/cfGJybfUy6XO+5b2mnjBRecjyhJxOx5C9WSeQTL5in0dTMEHoPHdYrU8xh8T/NxjwOep8f2Ma71A3OJG8t5qVs81RYOZDb2nWUqKdXTFwhX+PG9BfzHj4smkeOC2wW5NsmM6CYVrz1qYm+YmpafQkmQpw1AHthkGuv+XFeny3a7Pkr2h6x7KtMunFqMJWVm4d3JyWm0JZVjpsjP/KG6fsXIMUuhR6QIySEEgy+At1xYx/nr6iAiMREVJ6qi9ETWROmoSmwiK8KA2hZVKeextOBWWt8kNhQljiWiWGrNwdgMeU2AZgwcGpXYtCvGzv0CQ0MLVBQ3xbqzz+u4fztacAC48Lx1iJPGfzx076PLtu48WIqTEuLEFPQzYuKWMDetn+LZgauOGpXbT5lvbDBOJLElscIBvJlZyRNQT+HGuwv44D914altRuK4E8hNtjLTFVQ54foc0Nuk56z1nqo7eIQ4uLGHFu3udhe1R8J9zmKTaba74HU2uml7aSIh+QZl41gSC2wKYubNSwUTAzcWXFqrrsGmc+dOnt1+bAKsWhjj0+8bw59T4Ka7i/qLc+Rz8spDIglaIFnUShKtZ0K0pWaEQFA9/o9JBSEIEmLKJRIJPSlbmP1KYQcFexwI/BiU1xB2LcTJp56PwPem3cfTArzaM1t987vX/ePo2LL3/NsP9pXmdkXoLXOUChyMEv1BHAg8pQHuKS20kk4ZlilVcWXWLB1hbd04KbBppiHIPIkb7i7irz7Xhae2BUcHN9XgDgy4Oc2HBRksWNWRQew8tjC2VnrKgCTSwcq3RVWODeF5EFs6AsfRdJWupoA/l7pXhprYCkRt1YnhzUQCkpJUF4WYklhiS/5srsSm5p2VtIAT5ie44o/GQAnw/btK+pdyy8m1gq2lKlySlBoKiQzkJpyotU30sUisIhZRIFZYExKE6iCH7wHlgsKCWQKvOn0CfXPmj/V0lT/HvXBa/3VagAPAzIGV4MEEugqPQ8kGmpFEsaDbt3wP8K36lbXgntIZzHQuvKPbzbI0PM0J1jviPFZDkOvqwBvuKuCvPt+FJ559HuAmbvOwftze7pVLH6MDx+4UNnSA2w7gdDuZit9jXk6GJxczd0FtIywW7C6wzSmZPrcFb2noUI/chmvRrQW338EFucPL0jhLRLBqQYyP/+EYFIAb7y4hV+gNAPC1gi2chhJCQM10BioVqCBI7JVUZCMH9ZmZnVmEasZACEEh0DIYxWAAq1bMH/MKz3yT8JOn3Z0UR1gDA/2tOTPp77/9jXMnB2a0UG+ZrJNPUPCBgi8R+gqBL006VaYWPB2XnfZYCrjTGFJHMhWlzyaeUS5w0z0hPvTPXXhiq9tP2QHcNAO3T5RTKeiqU7nUZBpwuzFrIM+vXTC3gT09Edp3HiFHtuBqmsfmDfN/Jo61Jjl6Yl9rgY80POjMurfN4aYDyyofpPJviqYVoK7AvhAsN1lZCG62ccQRx6oF2pK/Zl0dSAwnl3GOm8cKaEqCyDQzJE6/pbXewvZZCoXYiPi0EoVWLNGKJFqRQBRJJIkWpdp1qIWHty+Z3Dvi/T7YjNaRdvMRLXhvsSkXz1ryAGN8/Or/3FSa10NRLjJUiwqlgkToSyPOmalg6eZkkWkH2vnwTj2JO6cy68aJwVkEcIEf3lfAn/+jw7mZ1wZsnnMoreVuB3cuauJY7xwNsZSl43bSZrmnCvnkKwizvxyz42mq7KZ0jrvATy06STe2U5apN5KNFyGAVUAgKgshAgAsFwc18WyClJcYJStAtPWQEvOdCFYOxfjffzwKpRR+fH8Zos2QKxC0QM1VlGRXVemMFBRZS6SlV8LExBMjzaaUNq6jExQnLVJYeerZ4+XKogf275+Ymr48VoAHxZkoFLzhRl1c+qYLT71917ZHvIFehUpRoBBIeFymURLizs1h7qRhkXbjZxre+TF+1nKDCdz2UIg//Uw3ntkZGmF6a7UtyHW0xLadWcvdTkvy8+Sz6MmUpM0UUGfHJ3dzLLz9Z0rpyRRLfnSEq/bXt6Xr3VYtIE9Z3NBh/rlKAeh2r9OUpgASVBd0G5ATKjWsDV2x70upbPt++j6lSi1gxfwEV75/DH/0DwS3P1iESB0RXRIplIemtOAmzlU1m4pMTFxcMu10EmGOWwQ0uUIUK8SJVpFdtGRdTKAu7e3pGgaCI+7fIwJ8RpeP3bt2YNUJi3cPdEdbN1eeXO7RCYQB0h/u9glaK5mC2+gG5mSNaV6vmxnNbsIFfvJAAe+/sgcbdzi0xFpu6iHXckbznTncfnab5XbHg0/p0HG3Yyrwc+n6DNf51zgH3/17DuNtr81bQ+d1yrlX+dfn/iOZ+v9zDidpa3PLhRKN++aCXAIABSW6mERJkzUlEgo0fS+mSNp3loo7AUCLYOm8GJ/7wCjedyVwywNEU3ingF6Ao0nMWHGiGT8VWdZYnzTah0iQhRKVEVXRZc0RBpIygurSrd29i3bv2LETQ0Pznz/AAYAxhoK4fvvQYPc7Z4Qz7ziweyuk4iiGCongqDd9tCKGRLC0/9KlJ9mk4Wx0Nk/BHSMIYoAluOVngQb3rhAqMMOgqANy0yxMbfqdmJrudsvdBu60LY5kVtz2BuZoRKfnHUKDHWHdCdTPcVkq0RH8UyIs+iywPJowlXsfuO9lrbi5OCiZicpSpdURUpCbcEoq60AIGGR2lhtDRrUQRZZgUtqSL5mT4DPvH8UfXwnc+kAJUhDd+mbi9hFhaEDXijOTZEsdTbMvbRY2FkAzIZho6exmGErU6wJLVi3GM7tr77zjkVu3/94lZxx1vx4V4IOz5iBJJsBYeW8if3LnxocePeeOh0dx+kqBs0+UKARlDI9WkEhdYKoL2e204QzcnAl4JkLCWQzOYoRhhF2HFe55rICPfKkLG3eEUIGXb1iwg6GM1Q6IzU6qqc5kB3BPl4pPRXLgPIdryafG+jqGBNF2YryQyxZT2QiFaqMnJAN6BmKXa7fH0TUvzxd4kQzkgKNORdP0vaLZqMC0e0hKMDukUlFYNYVl82L845+M4sNfkrjvkRJ2jEAfNBAo+GiCg5p8RXq8bErfXiUU0EqAfRMKijZw7qpJrFrawlPbZ+HcM1bd+dZLzto7Vmugu1I86i5kR30FgI997BN47a9dOBKp6sTdj/hvvur6Edz6WBl7RxVCTlDwi2jFHFA6UG/H+HlcF0hxrqXUuJfAYwk8HqMQtrBlL/Dxf63is9/uxo4DIZTv67Y4ko0UAWNgZqRISJXm3GYKg+7EMRbcEehvF61vb2jIOnLyXTXE3Uadsdep2pTbjWMH5Drjzm3njenkyRRoSdrtk45pbPtOBG116aT9MZn+NUDufTvF8x22MPUkzalPmV7aVLuEprw7X9DvlmelJXSABGZ2C7zylBYGBxM8vYVj5DA1SQgKRfQECgLkgZ42PyhwBihCsXTBJN5+8UG863UNrJxNcMaaszB/3sI/279/611D8xYfk404qgW3q1BcCuZXH1h/irh+87axS669dRuuv62E8WGBi08L0FNVKIaxnnhGYPS6pbHcBuQs1uAutLBln8JHv9iF626toKl87VASOy9HW21KCLihJAFVUyIkHQGMPLeeUs+dHvj0kGSHqYMVTl9D7AHvgBLH5Nrpk+2Rl86vNveWe7vbVdtjBR3VMFGOnJYhcaMrjmPaZtkz660/TJp/CDEsxShh6XyQ0VwhWhtRGqeQKgqqJKipN1FKQkniWHN9gvR3RXjrqycR+Aof/QKwZS90vyAAAR8NMHBhIl8mfU+IrmcqBARzKhQXrQvwypNLUCrBgdZJqHSvvX7FiqUPQEwcK2yPHeCvWDGAyfE925cOnfa+ZzY9yOo19YZduwV8UsCBwx4CP0HgC2PB7DBWO/gpgccjeDxCIWxh6z7gI1/swnW3VdAkvs4apYOg9KwcRggCoqsBPScjaVPvtpF5qjhmW5YSLuinxrctGDs9z9WetL3OPWHyJ0L+/zyvpeyHq5RPZ+htoy3OSZLj38r2XDpi+qZ+OxNyMNQ7PX9MA7GyRXI21GjkH4gR9VQETFIoJjIRUGP5JTP1Lg0C34tx2SsbgFT4yBd7sHUfAF8XcSUkQJ1QcKkB7istd8QYUAwI+rsYkqiCzbskhicleKHve+esPv19Gzfv3rF86dwXHuAAUKrOxi133LVj+QmnPH7PIyNvKHo70FPV09gApNWB3PJuLuCl4NaWe/sw8OEvduPaWypomS79DNwM1DQHp1bbHQblhv5SQFunUXUMA+Yu1SQ7Cdws5dToSAbNdvADDvCn0HSSf34MCHett6sjo9r/5tzs8/bYuN5k6sGJTGPlloVYtd/M1jtvTnQa3fofbnNKNspPmk4hPS6FKQJKRdYmx6i26oyknNz3Y1z2qiaAw/ibzwPbDygg1NITEXzUiSlrFkaD0FQ1JgI4NEbRXWZYvHAW+ued8nh99I4dy5dueC6QfW4ABwAWzkbfrDlXrF7+7KJur/WWkt9AuaBQCAQCXyDwdHOo78XwvQieF8H3IhDawj1PMHzhuxVcc0sVEQs0uIkPMA+EUnBC4BOr9ppFSawCbU6UHpm1RgdQW3xNiXkfCXuksyWe9vFzAPLRXqLa7tHhuWr7g3JOjAzAKvsB5rECdPOxiVyoVLvdWHj7/RScWhvb7UPytIWotGNHUWVk4ySYklBKGDF+CsWoDjG2KDyP4LJXtQB5GJ//boKHNyq0En31aMAHIxQ8kfCo7hprRgqTDYGRMYKZfbNQLJ/wH/MXLr8C2P9c4XpsTqa7vvKlz+KCDWe3Zs4cvMlX+zYEvDm/rytCT1eEaqmFYiFCIWgh8FvwvQhh0ISgLXzthwHefUUfHtxYRswCgAcADQDmgVKGgBIUmdIzKhngM6VndBpn0jNOiJVzsFQlHS8+TbSk3YJTJ3KSOnu03XkjU9+PZttd59F1QO2t/bl+3/bnUx3J6e7TsgKa/02UkPx3RNZR1f7eaYmBGw8lGR+3JbiWQ+sTx2Y8s5R/1uCc3w5FAfc9QM376NIACoITF8V404ZJjEwAT29iiI06V6L0vE59MmWJIM4YqFe969yzz7hs48YttVlzjh4WbF/P2YIDwK9f8hps2fh4fdmCi6PHHvwu+qvDmNnbRCFo6RAgj+HzCGGhiZaK8dUbQ/z1l3owOlkAvCClJIQxcEIQGhljjzqSaoZ3u4mavPU+engutdbtNMO15p04s2PmM2yQvPWfQk+OtJ4bG+8YB7eWN7XQnWPmGfHQ1EVZq+xY83w0JJ85yqXjzZ1WxsqsuhYV0p06lBIwZeZ0msyntuIyteZcUShFwRlDd6mFj79rDJxI/Nv3FSabCiKQGJc+WgnFRItitK4w0UjQ31/CxRdfHO08SOprT7sAz2c9L4ADwMDsBVBK3k+SFeu2bnmm8OyBcczqjbBkbqQzlkRg60GFG+4q4hNf6cFovQj4GtyEemBMi88HRKVThW1G0o7xY07YjxFMscgudDJOOj3GpjiSx4K7aehJ3sF0FGd/4ZUBU7VtS39n20rT9UR1+Jvh4e6Ocjl/Gu5zt2V8XTuqpsXNBXla30/0ZDdH8F9SCqmEGW9omiec+2rYwkffMYGAK3zvzhibDyRQhKPJKObNkZjZrRDwMlactLaxbMmi+yk9Yk3gEdfzBni5XIZS45fL+RvU339jy5888PijYV9XExecrLB0SCDwCD7z7124/bEyWrII+CEI88Eo08VR1ALbTBY2gE4B3qb0lAE8P8Yw17plrFyWxPgFcfYcX/OcMd6hzsTdDmBKCDH7JDXlfY79Z7Q5phbobpWiTQzBvRIqow2jTNmrApUSjBI9fJbqKRaMaWuuga8HJAhBIRiD4AxSMZTDJv7nu2q48KwmPvvvVfgesHQowStXxwh4iJ4ZC5vzTjjnMw3h/fVA19ETOtOt58zB3fXRj35CzZhz/p3dpYBVS411378H7Pt3VdBstbBpJ8dNd1fRkiUgKIHxACGjKDOFMgcKhmP7ZnSIRzXv5ixTO+LGsnsM2bx4hlRLw03MTLHqJN8X2Smagg7bUm7tcljqbHOTPDl+bTm5lWw7Ei/v4C/AcGwcnZO7agCdk0LIWdvMh5hqJOyIEVtOq0zprC6Z1fxat7K5w6/069KTwNVITDOdmoen5biKpmW4SmrKEgQKQ7MigEiccWKE916iUCn62DmyLJrdv+qKMjv4d/2zVyW/CEaftwW3a96sHdHsweInxf390YYV4mMLBsfob1wg8LNnEtxwF0czLsDnHkocKFEJj7Wl12m+AjBzIPP0xB78XIjOqdGw/X2g+jFpoyuZdbQVD0gDDR3NnGqjMCkfJziqmT6CRX0+K8+b8zHvI/2v7KR2c45TqZnbr5mOJmyrPXeNhrXk2mKbXlsTTaGmHFcPwNK65BRW2Inp8lfONDdnCrFI8MQzAe59uhcbtxWwdmlZ9vXN+dhwhE8P794d/aL77hcG+Fve9G784Ac3N9asHLr+pEU7P9pDb8YZJ0ls3k1AmQcuPfR4QNlT2kKTtvn1cGSMDdhdEcwM5CRn7eyxlUrPhBEGBMrpKcyUWgHXn7KTNyyza485d1rtf8qFH8nUFz8vSn4EyqKew5tNSVzBrabMQqvK3Tm2rFYSCGGaHxyA22WvHpQC0hFPlVY3R0kopSmMvnK5x1vnSWKuGyl8LpHIFkZrHu7+eRfGJz0sWni2mtc77/rxWrOx7pzn51i66xcGOACsWDYfE83Fm2b14D2icdIXJmt7qYgpwHx0E4K+UKLgZbxaIZuHaHeaC+5UzssC3dSA5BIzZknTzAqitFxeiok2Lu4cJGKSFW7C8IjW/Pks5ySebqW7oMPnZjZX5V9/tBMxvcIpgCjkfRaVAzgx+8kqRtj2NSEJkoTmQG7fO3MykdX/UwVlxk1qZ9NO69CtEln3v46pcyYRxxycAZS2oChHoSJw7tlrZal36D0rV63e9PhTO1+Qw/CCAHzB4hVQ6p4IOOeqe+7cWazSVVdO1Deh4HFUmEJvUepsvAFRYoYNWSk50ma1bREVoyRn3aljxe0SUk87QELSLJgFgnQv5Zbnwo7TaOt4mQaAFmY5EHV43injeaT/pdSRwT9tuOQYT8D0CpJaXIePW9CTbDq3HQwlJBAnFHFC0ql56X5Im4I1hZRm9o9kEpIBHNTUn0swpbUPAX3SJIIiETo2TomC7ycglCDwIxAqce7Jc7BqfvUDr79w3VU/uutRcfE5q58XFtvXCwJw/ePXodncI9ad8/otjz3eNXHnE3GlSATm9EiUQ4LA0zswShTqLaQCNYDK6Il1LpmOr3IjUeFGVKzDZpeQBIkZwSVMo6yUJO35S7+fA6hUBdjZdtSgSydwdeAtz+cC4F5k2i26OkZ6kp+DBNjsbl4Kwx3fqMy+MDrf5kOkJIgTilZsrXj2ddJqSqK08THN5FwZqqi0ddZpHT0/VR8jPRih3mBoJbqSMPA9NFscA70J3nwBQyM8a+IVK87Z8tSWgy8YuIEXEOAAEAQhfnhP63snLNzwh792QfCZKr2lVzQnUC568H39wyabEolIUG9qAGaSxZnl1jqIWgMxteRtQvPWOknTrApokRip9MDQKLFiTSR3cEGz8KJFVXuTQAoUOBieJrFDOjzq/Hya5dIj+32OGCLMiqXSmfZTvq8haJamGB1IW6ufqfuak8qoxcaJjnK0YopGkyLOXWVNss1eZe1gXAVYFVtbumXj44RomiKVQhQTHBrnmGzoaEHoKYz6QCTnY81pZ4/MWnjK+yl2fe/Z3bNfSEi+sAAnpBcAMD4+/rXfvmQ9n9dHrrj7rrtmSjGJUkjhewBICw9tSvDUHg+VQCHg2orbEKBHCXiqdWgAzogBOUF+moKNoGiv/nANGG9q9aPEjNTIGiF0UT0I0pFfehJBfmTfkX8fUsuYZjY7eHTtJ8Wx7TxMqX/K3SsClfOWkdaPZIFqC2jXamcWOxVWcoYOWB/E49ri1pseanWKWoOmV0ALbkYJqDFAQpiQrtT+DFfZdxJMgUOLPflcoKcaY/MeiUe3MFAl4XGCMABmDfSif/76g32zzvyLei35WqWy/IWEI4AXGOB2VatVjI6OX73uzDMpkkOf2Lfj/pl9XU1wBnRX66CFcdzyVC9EM0BfUSKAjqRwC24OeEYvWoOcpCDnjIA6zy196aky9PaM4XsPEOydCMA4gUdJWm7rUT2hl0sFypxaaYejW0QpE26cDoedth2JTx9TxhRHp0nt5+DRXu/SETtkIGsnzJrBKdVTOQ6MUjyylWOy5kNKmRoTZiIklj4KqsC5tu42PKtDiXqKBBMUyjSkl4sRGBvD3c8IPPSkjxklfbL0VRhWnLjk4MlrTv+QEMnVlUrlRUDiiwRwAOjuruKxh268alZ/QSCu/kOz/kzvgn6Gnq4WCB/H0ECATc+G6CnoJARjAOdamsvnBtz2ntFUIN3Kxlkr73tA6Cv0VCROWDCJ/oFxfOpbPTjUKMPzPRQZQZEhJbfEXEKJUVZSzqW+oxFvoya5Mo424Lox+jRm3vY+wNQyWHe5V5PcPTGZ+La/tYcD9cnmptVtQszEq90WQq67q4pBhFqriS/9sBu3P6Bw4uwWukpUy2J7FB6j+lhwC3Ij68AIhFSZMw+AEB3ftvXolWKEZ3ZHeOApij2HKCZbEnNntjBjcGhEqOCD3/7OT77yO7/1xhcLhi8ewAHgpLWvw7M7tnzD7176l7fd+r3ecvAwuioKUNzES60zqbTWIdfOqMepVq/l1npnz7WqrW66DzyFQqBQKgj0dbVQDBl+96IWGN2Dy788iGZUhfS87OCbuCyVOkFhw5W0E7odLuxmSN08kxupSEH2XGhJp5T8lFi43pj/ivnwYfbh2ftlWot2gkZmvTmV8HgCn8cIgxZA67jim0Vc/aMZGCj6ODQmoJRCMVQIfQnfo/AEhScYBDfA5sZ6SzuuJKt5YUwhECSTnSAKhDAoAnSXI1x64dBEqTL7vVLVvvX233rbiwnBFxfgADA4e1ESxck7YrJg4R1P1b80XtsZzpwpAKK9cI8pBJ4GduDrqRGeR1NrzVlmxTnXwPY8De4wUCgGAuVigmKYQCoFTn1c9sox3HjvOG592EfCGBqS6bHd1Hr85uCQrFah0+U+Z7UND7EnSqeKw9z/OsY4uMlJZXU1JL3YZK+zVrvDdz3S906LYFMOrtKR6NqCxygETdzxKHDd7V1oikDz8IjAb2oRB6nyVESoLI0vrTqVzF4DQ1N8z85p0uPeOSVYu0DgPW/pby6YO/g/Am/gujipHVG054VYLzrAC5yod19+1d03/ozf+9dvnt/onkG//uMHD4db9hVQLQAFT6EQUBRDPQ7FN+CmxqlMQW7piwF34OsmC3vzPS3mmQiKvirBr6+v4dYHqoAMkEiGiAKBsTRSZY5l+9yYTqsT1bBAJ85G4mzPNh/FpLdZ7tyfVAfQH0s80zqZ6S3Tamd2TAwVoEzA82J8964ihscCkJCmEahmK0vMQUnz0SqrQVE0nS8vhO7AiRNiwooUjDIUfI7xeoAFAzWsXz0OJZc3e3t637pm3fj1crQhWM97X2z4HVmb8IVa/+d/vQO3XuGJd//33/3Og9v73nbflpPqKg5QCSSKAUGlSFEpcpSLHMUCRxgwhAHTl0brdBpw+1yDO/S1dFwY6C4iz9NOk+1CKXgSWh8vgVDKTADTWtWWmqSX/Sm10Ga5hppkeO1Yo9K2vb2zqH3lYt/t38URtM9elK+UnO7EnEKhjL+RcvJUm12PjSFMoBkzSCPwkyiCliBoJQTNSKEZKbRihVYkjbqUzG5CIY71a+pNYLIBjNcIxmoMY5MMk02OyQaHEkW8/y1z6m97o/+2V174zu/8/efmviTgBl4CC27XspN/C7/zwUn11SuCa+b0LOBD/cEXHn50T1elSNBT5aiWOQKPpJdsC0CdNbMTJJS23lwi8LKb72uHiTEBQqzilkWBbtkWRojdvrdVwslqoqfCxQW0m94GnFoUF03T1YVPh3DS9tzh3zmdQeI4wrac1Q1vTvk4lX4nAuRoCrHhQiJBiEwdUUBBKoWWIIgSrUuSdlCRfNOJfj+ps8fECn0ircqqtyjihCLgHD0Viol46djk8OI/eMOvnXiNGv8USPUvXirYvXQAB4CvfeqdeNO6q3HH5hnfHJzT5b1p7vxPN0c291WCCczoEZAKaLQoWhFBFOtLn4KtSTHi+lzBs+D2hR4UyhOtweLMsdfs2qJG6jJNuLUqR77ad+rhTGmJy79t+YCD/jSC0m7t25at0nMVrfJSDxk1ycXpLchzP2BqPCZ3ghJnmwFolv3Ue0YpiaZkaAkCP8aUCdCMKjChIzLM6I9DmZk6sdYPbERaRqJaIigUe3HywOpDcwbVn/bNJN/89reffknBDbzEAAeAS3799wAAY2NjX2WM8aefuP+TB3fePHPL7v0Qooy+cojAI5hsUIxPZnUQlNgworbifq7BWU/C1dqHOq7reQxuLM4t8DpaUsetdkzryknears147ajJ8/Lj7xy1NsBtM1qtqvD5mf0yIy2IDsJ2n4F9OmcxV/c0CGc/xMngJICUAlakqMhCHyh4FkrTrJEHBP6GOhjoo9PKwLqDYE4UejtbqKRRBhtzcLylWcdXHLSWX+ZxPFXSbHrpYYagOMAcLu6urqgRP3Lp5x2JnnYr3/i6pt/NHNGMcFrzogBKrB3s4/D4wzFUDudNvzkc61FHnhuF3+cxnQZi9GKJbbtMxLLjmWdNtZtVo5au2BGBmLXItoyA7SdAC49gP2/7gc5nL+9lUwqE9mxXFwqM8DMHT6lHWUKl49PTd23+8bE/XynMWHhYIzQSzApYiTCR40yeAnJSpZtzYkZuW1reHyfohQCQAvP7pegClizPMHKFQVEhQ0H1607+0NRpL7c0318wA0cR4ADAGFFPL6tcRXv2pD83mWVK+X4bT391W0Ynmji4a1d8GUR8wY8hAExVYYKvqEnYZAgDGKEvr75ntZe4TzG3nHg+jsLOj3qHNp2yjv1CznAbgNzrquHtHfs2BPAeQyHzrRHR5xNbjFV6uySDlTFvUnH4jtJlk5nbyeXIP39ikAKgkvWN/FvN8SYHI2hRIwGIWAgWZ0QLEXUmt02fxF4BHP6BebOruH+rQSHx0rYcnARLn7N+sOrVq/6c8Ya/2bLN47XOq4AB4BVCwpQKvnaifPWjGx7+tnF45MDn7rz7lu9J7ZIrB6SaUc3NeL6vicRBjEKQYxC0EIh0LorvtcC5xEITfDoJo7Nez1TfmhEQV2La9a0ltyNjLTdZ21jDkXpZL1zrUfOZ9qYd9s2+30IyU30A8zEYpvJJMqU+iqnzlrBqc6cfqUUB44SlWRYNDvGScua2HVfACGbkAKowYcEhVCarzOqI1i6zFlzI8vNVy5oYt2JCcp9G2IlvA8Ozj1lS6tVvLFUOu7wOv4ABwBCuNy8efP3Bue/xR/b8vN632Dw+f7ux0kxELQQZPUmHpcoBAlKhRjlYgOlsIFi2ARjMQjROuMRFbjtZ2U0JjwgpNb05uujp/seyDuHBK6wpquZ0mbJ4eiToNPf0fFDLbDt7Cdbwmsfu3LH2fRilQ6UsvF8/V5ZZKXTyp9QuqdSKV2jXSwrnHdqE7fdW8SkIICSkCLBZOwjERxC6UnJHlco+MqM/lNotBQm6kAs+uSbX7tKscKyPxqae8pXRsd3RYMD1eMNKwAvE4ADwJIlS3D/Q09GlfLg12bPim5/9bnysqp38H9u2b0fUc1Hd0UhDATKxQjdlRqqpXEwXsfGXUBXt8DC/hiUSGzfx3HfkwFkar31eDwrjzzdcsN/7VqGNLXYJG1CdkFMU2fUbTjuHF4EnLoN5J1NacqHFUVOx1sPdFUp0SJmBnyakaVu4ZgV5cmShKrtc9OpD0pLOVBBccbKCAODEbbuJSAkwcL+CVS6CTbtLOGwKEEIHx4lKAX6JKqWBaAmUU8WIGYz/nbJ/IXXsHDmTpk8Ey1atOp4wyldLxuAA8Dpa1cCQOPa667feOMDb/zkv3/4O/4Nd5DLt24+zDiLUSlG6CrXUGuO4/p7Ca65cxAHRhlKQQuf/+P9WLe6ia07GJ5+2tfuv5nlQ5DNhslZU7ei0Nme4922oo5Yh4vkaIoGPHF4OjLrbd4zu3eS6E4BlbXg5ivBHTmSRn+kEcYkOntou2ukORkUVWkQ0P6UqYkpp+s9VamiSBKKFSfEWDw/wbM7fZyxuo5/fG8Nvs8xPDqO6+4McdNDM7C/XkHBU+guS3RXQ/QMzBYb98/+X+vPX/PJ22/dLM47/9gkjV/K9bICuF2XvukSjOy8SvTMe/eHf3N4mD/2yD0fkLX7goHeYYzUxvGB/9ONJ7b2gHIPCgTbGw3sHZmAiiQWzpFYfkKC+56yc+ztAKS8rmGnaIqbkbR9oGntOSXONpKB28pATNEEb0vbm6Vy2oGZBbcgt5LG1KgDOD12unjGxK61apTKLDiyPtP236Q/15F2SOUh9I1Siqee8rB1lw/FA8zoSbB0bgFjtS50Fwn+9q0N/Ma5e/FHnwP21bqwcF4Fi5ef3jpvw/p/6Oru/TD1rsHH/+Sy4w2bjutlCXAA6J33DoyPT6ArUJefuW4DbdX61zUOXk1/8jhbt3VnwE+awxAwnUaO4EFE/Rgb9xH44+itEoDo6RB2WJWd4dNOFdyUPZB3JrVAu66HoabLyIKbOJbbgjuvFTh1Xr1LESxfduM7UhlWBXQGuaVC0JOB7feUpmTV/pDsRFVw1a50eJFAwhRMUV0IJSTH4QmJZhSAF7uhVBGPb44hZAmtiIBRgVl9w/iNc3hy88O997z1t94gz1i96J5GK7m8PjmJYql0vOEy7XrZAhwAqtW0CP5Df/UP3wZhF1VEq/HF33zVnjcXyDAdq09i8y5gzbwQPunDRD3Go1ubuO3BKlQQaq1xQnJjvW0/p7KFV1KZNLPentVPW6GhrOjLbZuzFITQjJu7/Jy68TnVxoPbakmy0lYCKmEE56HF6Sn0CHjLzQETV9SyDILosR/p4CjzgVbKmlFn5o4yszMl1apTkkIIjkYjxIa1k1i5VKD+tAfa9HD/Ex6WDdXx5FYFyvpwWmGJ/ODbK9d+/P38XVHroYmgd+3xhscxrZc1wN318Q+8GZs2b50I/OC9+/fv3zwx/PCqrfv2X7Jx1zZ4zDfAS/BfT1TAggpKzEPLCNkQ6Co6K8kMZQaRmjoUZi0gkFpkakFtWuZshWMO3LlQIcnAbavwHIC7TQG6flrlTipFdI26pS6p0ZZZOl8qPYlBMf29kQomWeF5vZkSPVXa6rSDaPF7IRigCBiVabo/ER5asY9AMKxf2cKDT0WQ0kO9IVBrNMEriyHUnOvnLFrzOK8MfnZ4sjkxc3DoeMPhmNcvDcABYOmSRQAwrNQzfwNcPBQ+sAVvjOZcourPolrcicd3JLj5/gHM7/YglcKumkItUhCEglEg5LqepRkTjNQphAJ6C1rXI7DgsN39Zj561nhBHQeTpDTDBboFtw1rWrqhJABpE+c61S6lgjJnlZ3zo7+AMlre5v+6pNpSkvRk0f+PMd2D6plBroQCnAkEfoxyMYJSBKO1AloRh8fNtDsuEQYt1BsBRka7IBXFxWvHcPN9Y9g/WkU96sXsoTVYPnPx9cPJqvfvqk9sX9o9cLwh8JzXLxXA7SJkOZ7deWj73Dkn/3nB7/3WM48ejBDO/ug3v++f1OcBi+cztJTAa/oPYXgiwn/+dAYY8VAKFCohoIiCXx7HZEJweLQMnxGU/Gz0iW2X011GFJxTcEZBGUm1XTTvJSkCrSVPC5NYZsWVBCCMAoBS6QRfq8JFpAJjdrZPNvbPXgCk+TybJGJMNxgo83pKdQ+rph8wDQcSYdjEgbFJtCIP47VuEOWhUowReAmUivHt2wlGxjzM6grRikqYO5PhA7+Z4Jl9J+OM1avvmDu3+NlFSxY8CpFsJ/zYx4a8nNYvJcABYOG8PgDYDGDzT378L0hUdcuvv/bia8YObl7M4kfYwbEJEFXGxacewqadTRw84KEcKvR3MyyZz7F+zSh2jIzifV/gaCQhAKRNzdZqex6F5zFTk05S0AoJXe2YmLY7pa2u1W7hprTXqnFJBRBTHSllVlMtZUaJlJIgnBotkcxZVSapEsdKixwZSiI4zQrRKBAzgsSMAQEA30sQ+DV8+poSdu3rxfoVJSybr3MCPVWGJ3d4+OZPKjhxbgHb9sRo1CUue9054pxThzb3bqu/+9z1Z+6VEhvbo0C/bOuXFuDuuuDC38eh4cOPSiEuGjtcmqPoK6796nU/qs4pj5aGR8fRFRCIoi5OKhUY+qocPaUCGB/H3L46JsZCPdHNFBP5HkHgUwQ+g+9T+LZVjuuqulgQM1ZaQipo624ySYxqcPueHonHjGPYoqbjRUg0WwKtWJtgapQEAJqKWBJDO7jp/o9ihUYzQSK03ojHCTypIKVWiiIwVpwTJKadzGMCe0ckNu+voDlWwMgYUGvok+zweIhaPUZvSaEQ9uJ1rypM9s167XizxS/1y0O7T3kF285+yYFt168EwAGgb0YPlJLbZ/T37dy1//CJb7jo4jMHe9WX/uv+x5Ll87b3xoOHKo9v1c20jElEMcXiOQqvP6uBr31fg9IFd+gzBIHWcvG4FqrRPaASQkkcGAFGaxK+RxD6AGcMBAbgHhD6EoGv4HPdPaPBzbDrgMLIhIAwY6x9TuAb4R3GdEWgphxAGOjSYCkjbNsjICUQBhShT030R5k6d+0f+JwiinTixmME3/9piE27fCzpUYhiASUJAr+Bn28OMW/2sok//t35I15xNZ/bL985tGjBvUL1jSmppMdfkkavl2T9ygAcAIj26uT46L7DPUvn3Ry1Di97x4e+3trz03/5s3seuut3xm/cGg/04oS+7iQM/GGMT0rsOsAQcj2bsRBQ0x/KUSpSFHyrR67b5MoFgcG+Fg7VxnDLIx4GKkX0d1MwqpulCSHgTIO6EEiUCgLFMEExjOF7Agkohp9i2LyPIuCa9xcDoKg0b/Z4xrM9T6EUKgz0trBmxV7ct7mK8ZECBnqkcUgpEiEQJxJCMhAwcEbhewyNFkejxTF7hkSpkKDW9ABaBPUKzUKFP90/b5m3eOX5Xzu86U1/Xx74VsDD7ub2HbFcMPSrYbXd9SsFcLuq3YOADlrUJw5vB+f8U5zRT11y/ho2a0bl892l2rKK99j60fGEMUrQXSIoBQLFkKMQchRDiu6KQldJIEkIxie17FzoC/RUGwAfx2irH2UPiGLjACJzMgNPoRhKVEsRersa6KmO456nJO5+qoQzXiHQUBz3PVFFf4liRkmrS3EmEeiUpClPBQJfolyMUSrG2DeeoDEJdJcVSkZLZqIuIYRCpSiNc8xMlw3BYF8Izytg1swqFvYvFOvPGrpraE5lY4yx91AyJhgvoGfZf6qVy+fWj/fxejHXryTA3VXpGQKynEoStUbeRWjYo6JXfLx84Br/3JO3iwKds3bpHHKKjA9h/3AdjHIM9Aj0VGv4+SaO4cNdmD+geW7oR6iNJKCUZxPMTLkqgZGf83TVY3elid7qKO55poXPXDeAHq+K161tYe1vHMSViHDPEzNAiNbJDv1MHdeGT7SUMYVIPFSLTQwPVyGlgscoZs9gODDexMObgL4G1SeIx9CIi+junY2YNh/ctr/w0KolK9n73/7aaNG8vr+q1VuHB2d2H+9D8pKuX3mAty8/6AWAwwD+AADuuONOrFyGc6HERaVg+NJN26Ll5TDGYPlBjDYmceN9Jcyp1tFX9cCpACEK198VQgmKapGgEDAoaK0+BR3R8Lkea95VrmGkXsPffWMmJkarOHEVwd5DZWyY38Bf//YevPUKhuFaL7pCgnKiUoBzk8iptygmJj0MzvBwyTk1fOobQDOSUCpBb0VhzcpJPLm3gNFmBa87eQXmziri4ET4zIJZ1Wu9ov+j156PO04//Wx8+ZPHe68fv/X/HMDb17nnngMAd8ho/x0A7py7CItlNCqbBx6VrfHlCy86b+VfxhO7MX9BgLFoN/YcHMGTmxVCFWFWXxELZhEMj0U4NMbRXSEIuLbqxTDBruEm/uXGLoyM+yhxAUI8HQuXCr1Vig/95jj++QYfk5MVKKXQihSklOipKAyPKxzaA7RaFAO9FEsG6+gJG1g81IXli4YwZ7bCypWn4Yxnd33y7odbz5555ll0/pweOt7kWwhw87xZx7eT5uWyfvW8ihdo7d93AGEYdG/bsefcRx5/Egtne/FIM/iT+TOTCx/Z3ICIPPDmo2DkEDbukXhsUwGvPo0hFg00mxInLx/FtXdOYNuumVh/8jhuutfDnK4uvPpMgoGB/fjhvQTnrgqx9eBhfOeWAaxZxME9Ds7LuPD0Jh55NsHmHR5mz+zB2y49EZTX8cjGKoYG5Y+37SJXzhuQ3tDClah0zb5DJK3Rrp6+473LXpbr/3kLPt0aGOwHgFEANwDA/U/sx6DC0zN6k4GzexOpEoFtT23BoZFhEMYhiIdyIYon+akf8UXz9X5lIg6qEm+6sIg1KyeAEkHSqGDJEoFJMRd+OUDih7h4/UHU4irWLit4g/3h97/49Sc/UiwQL/QBL2AQpIie/tUIQ2B9H6cD/Wr/qWfgWUJ+eepBjuf6/xb8BVzfuO4uAGSAioNdi2bX1A9/RrF6yMPyRXXc/STQqhWxbpXEWLOB+57wceKQh5MWj+IH9xSxemmRvGJF35hUan+1f8Px/im/Muv/Aky2TarEIz1XAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE4OjE1OjU0KzAwOjAwH+QpcQAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxODoxNTo1NCswMDowMG65kc0AAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
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id: 201253000
{'hecke_orbit_code': 36028865805550075, 'n': 1, 'trace_an': 10}
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id: 201253001
{'hecke_orbit_code': 36028865805550075, 'n': 2, 'trace_an': 0}
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id: 201253002
{'hecke_orbit_code': 36028865805550075, 'n': 3, 'trace_an': 30}
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id: 201253003
{'hecke_orbit_code': 36028865805550075, 'n': 4, 'trace_an': -60}
-
id: 201253004
{'hecke_orbit_code': 36028865805550075, 'n': 5, 'trace_an': 0}
-
id: 201253005
{'hecke_orbit_code': 36028865805550075, 'n': 6, 'trace_an': 0}
-
id: 201253006
{'hecke_orbit_code': 36028865805550075, 'n': 7, 'trace_an': 0}
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id: 201253007
{'hecke_orbit_code': 36028865805550075, 'n': 8, 'trace_an': 0}
-
id: 201253008
{'hecke_orbit_code': 36028865805550075, 'n': 9, 'trace_an': 90}
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id: 201253009
{'hecke_orbit_code': 36028865805550075, 'n': 10, 'trace_an': -80}
-
id: 201253010
{'hecke_orbit_code': 36028865805550075, 'n': 11, 'trace_an': 0}
-
id: 201253011
{'hecke_orbit_code': 36028865805550075, 'n': 12, 'trace_an': -180}
-
id: 201253012
{'hecke_orbit_code': 36028865805550075, 'n': 13, 'trace_an': 0}
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id: 201253013
{'hecke_orbit_code': 36028865805550075, 'n': 14, 'trace_an': -60}
-
id: 201253014
{'hecke_orbit_code': 36028865805550075, 'n': 15, 'trace_an': 0}
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id: 201253015
{'hecke_orbit_code': 36028865805550075, 'n': 16, 'trace_an': 500}
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id: 201253016
{'hecke_orbit_code': 36028865805550075, 'n': 17, 'trace_an': -210}
-
id: 201253017
{'hecke_orbit_code': 36028865805550075, 'n': 18, 'trace_an': 0}
-
id: 201253018
{'hecke_orbit_code': 36028865805550075, 'n': 19, 'trace_an': 0}
-
id: 201253019
{'hecke_orbit_code': 36028865805550075, 'n': 20, 'trace_an': 0}
-
id: 201253020
{'hecke_orbit_code': 36028865805550075, 'n': 21, 'trace_an': 0}
-
id: 201253021
{'hecke_orbit_code': 36028865805550075, 'n': 22, 'trace_an': 580}
-
id: 201253022
{'hecke_orbit_code': 36028865805550075, 'n': 23, 'trace_an': 120}
-
id: 201253023
{'hecke_orbit_code': 36028865805550075, 'n': 24, 'trace_an': 0}
-
id: 201253024
{'hecke_orbit_code': 36028865805550075, 'n': 25, 'trace_an': -960}
-
id: 201253025
{'hecke_orbit_code': 36028865805550075, 'n': 26, 'trace_an': 0}
-
id: 201253026
{'hecke_orbit_code': 36028865805550075, 'n': 27, 'trace_an': 270}
-
id: 201253027
{'hecke_orbit_code': 36028865805550075, 'n': 28, 'trace_an': 0}
-
id: 201253028
{'hecke_orbit_code': 36028865805550075, 'n': 29, 'trace_an': 990}
-
id: 201253029
{'hecke_orbit_code': 36028865805550075, 'n': 30, 'trace_an': -240}
-
id: 201253030
{'hecke_orbit_code': 36028865805550075, 'n': 31, 'trace_an': 0}
-
id: 201253031
{'hecke_orbit_code': 36028865805550075, 'n': 32, 'trace_an': 0}
-
id: 201253032
{'hecke_orbit_code': 36028865805550075, 'n': 33, 'trace_an': 0}
-
id: 201253033
{'hecke_orbit_code': 36028865805550075, 'n': 34, 'trace_an': 0}
-
id: 201253034
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