-
mf_newforms • Show schema
{'Nk2': 21888, 'analytic_conductor': 43.694139986044625, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 12, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [5472, 2, [4447, 2053, 1217, 3745], [1, 2, 1, 2]], 'cm_discs': [], 'conrey_index': 2015, 'dim': 8, 'field_disc': 5308416, 'field_disc_factorization': [[2, 16], [3, 4]], 'field_poly': [1, 0, 0, 0, -1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 24, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [9, 0, 12, 0, 1]], [11, [169, 0, -28, 0, 1]], [23, [4, 0, -28, 0, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18014604701472096, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 16, 'hecke_ring_index_factorization': [[2, 4]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, 0], [1, 1, 4, 2, -1, 2, 0], [1, 1, 12, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '5472.2.d.e', 'level': 5472, '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, 19], 'level_radical': 114, 'minimal_twist': '5472.2.d.e', 'nf_label': '8.0.5308416.1', 'prim_orbit_index': 2, 'qexp_display': 'q+(-\\beta_{7}-2\\beta_{4})q^{5}+(-2\\beta_{2}-\\beta_1)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5472.2.d', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1061182352401582863, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '8.266', 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
{'Nk2': 21888, 'analytic_conductor': 43.694139986044625, 'char_conductor': 12, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [5472, 2, [4447, 2053, 1217, 3745], [1, 2, 1, 2]], 'conrey_index': 2015, 'cusp_dim': 928, 'dim': 72, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 23], 'hecke_orbit_code': 206191990112, 'hecke_orbit_dims': [4, 4, 4, 8, 8, 8, 16, 20], 'label': '5472.2.d', 'level': 5472, '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, 19], 'level_radical': 114, 'mf_dim': 992, 'mf_new_dim': 72, 'num_forms': 8, 'prim_orbit_index': 2, 'relative_dim': 72, 'sturm_bound': 1920, 'trace_bound': 23, 'trace_display': [0, 0, 0, 0], 'traces': [72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 344, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -368, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -304, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -264, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -208, 0, 0, 0], 'weight': 2, 'weight_parity': 1} -
mf_twists_cc • Show schema
-
id: 44251563
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 2015, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 18014604701472096, 'source_is_minimal': True, 'source_label': '5472.2.d.e.2015.3', 'source_level': 5472, 'target_conrey_index': 2015, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014604701472096, 'target_is_minimal': True, 'target_label': '5472.2.d.e.2015.3', 'target_level': 5472, 'twist_class_label': '5472.2.d.e.2015.3', 'twist_class_level': 5472, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2} -
id: 44251564
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 2015, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 18014604701472096, 'source_is_minimal': True, 'source_label': '5472.2.d.e.2015.3', 'source_level': 5472, 'target_conrey_index': 2015, 'target_dim': 8, 'target_embedding_index': 5, 'target_hecke_orbit_code': 18014604701472096, 'target_is_minimal': True, 'target_label': '5472.2.d.e.2015.5', 'target_level': 5472, 'twist_class_label': '5472.2.d.e.2015.3', 'twist_class_level': 5472, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2} -
id: 44251565
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 2015, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 18014604701472096, 'source_is_minimal': True, 'source_label': '5472.2.d.e.2015.3', 'source_level': 5472, 'target_conrey_index': 2015, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 18014604701472096, 'target_is_minimal': True, 'target_label': '5472.2.d.e.2015.4', 'target_level': 5472, 'twist_class_label': '5472.2.d.e.2015.3', 'twist_class_level': 5472, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2} -
id: 44251566
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 2015, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 18014604701472096, 'source_is_minimal': True, 'source_label': '5472.2.d.e.2015.3', 'source_level': 5472, 'target_conrey_index': 2015, 'target_dim': 8, 'target_embedding_index': 6, 'target_hecke_orbit_code': 18014604701472096, 'target_is_minimal': True, 'target_label': '5472.2.d.e.2015.6', 'target_level': 5472, 'twist_class_label': '5472.2.d.e.2015.3', 'twist_class_level': 5472, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
-
id: 44251563
-
mf_hecke_charpolys • Show schema
-
id: 3908375
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 18014604701472096, 'p': 2} -
id: 3908376
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 18014604701472096, 'p': 3} -
id: 3908377
{'charpoly_factorization': [[[9, 0, 12, 0, 1], 2]], 'hecke_orbit_code': 18014604701472096, 'p': 5} -
id: 3908378
{'charpoly_factorization': [[[121, 0, 26, 0, 1], 2]], 'hecke_orbit_code': 18014604701472096, 'p': 7} -
id: 3908379
{'charpoly_factorization': [[[169, 0, -28, 0, 1], 2]], 'hecke_orbit_code': 18014604701472096, 'p': 11} -
id: 3908380
{'charpoly_factorization': [[[-8, -4, 1], 4]], 'hecke_orbit_code': 18014604701472096, 'p': 13} -
id: 3908381
{'charpoly_factorization': [[[1, 0, 52, 0, 1], 2]], 'hecke_orbit_code': 18014604701472096, 'p': 17} -
id: 3908382
{'charpoly_factorization': [[[1, 0, 1], 4]], 'hecke_orbit_code': 18014604701472096, 'p': 19} -
id: 3908383
{'charpoly_factorization': [[[4, 0, -28, 0, 1], 2]], 'hecke_orbit_code': 18014604701472096, 'p': 23} -
id: 3908384
{'charpoly_factorization': [[[72, 0, 1], 4]], 'hecke_orbit_code': 18014604701472096, 'p': 29} -
id: 3908385
{'charpoly_factorization': [[[16, 0, 56, 0, 1], 2]], 'hecke_orbit_code': 18014604701472096, 'p': 31} -
id: 3908386
{'charpoly_factorization': [[[24, -12, 1], 4]], 'hecke_orbit_code': 18014604701472096, 'p': 37} -
id: 3908387
{'charpoly_factorization': [[[8, 0, 1], 4]], 'hecke_orbit_code': 18014604701472096, 'p': 41} -
id: 3908388
{'charpoly_factorization': [[[169, 0, 38, 0, 1], 2]], 'hecke_orbit_code': 18014604701472096, 'p': 43} -
id: 3908389
{'charpoly_factorization': [[[1089, 0, -84, 0, 1], 2]], 'hecke_orbit_code': 18014604701472096, 'p': 47} -
id: 3908390
{'charpoly_factorization': [[[8464, 0, 208, 0, 1], 2]], 'hecke_orbit_code': 18014604701472096, 'p': 53} -
id: 3908391
{'charpoly_factorization': [[[1296, 0, -144, 0, 1], 2]], 'hecke_orbit_code': 18014604701472096, 'p': 59} -
id: 3908392
{'charpoly_factorization': [[[-23, 4, 1], 4]], 'hecke_orbit_code': 18014604701472096, 'p': 61} -
id: 3908393
{'charpoly_factorization': [[[1936, 0, 104, 0, 1], 2]], 'hecke_orbit_code': 18014604701472096, 'p': 67} -
id: 3908394
{'charpoly_factorization': [[[1936, 0, -112, 0, 1], 2]], 'hecke_orbit_code': 18014604701472096, 'p': 71} -
id: 3908395
{'charpoly_factorization': [[[-47, -2, 1], 4]], 'hecke_orbit_code': 18014604701472096, 'p': 73} -
id: 3908396
{'charpoly_factorization': [[[2704, 0, 152, 0, 1], 2]], 'hecke_orbit_code': 18014604701472096, 'p': 79} -
id: 3908397
{'charpoly_factorization': [[[676, 0, -76, 0, 1], 2]], 'hecke_orbit_code': 18014604701472096, 'p': 83} -
id: 3908398
{'charpoly_factorization': [[[2704, 0, 112, 0, 1], 2]], 'hecke_orbit_code': 18014604701472096, 'p': 89} -
id: 3908399
{'charpoly_factorization': [[[-32, -8, 1], 4]], 'hecke_orbit_code': 18014604701472096, 'p': 97}
-
id: 3908375
-
mf_newform_portraits • Show schema
{'char_orbit_index': 4, 'hecke_orbit': 5, 'label': '5472.2.d.e', 'level': 5472, 'portrait': 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MceuzbH+MoQa0GcBix1JcOxT+AJhNHMT2s2TKUsd0O6Q8Eo8VkZCDZPaZY6mhPnFTU/YPMsbJ+P2DQ3YuPcmM1zY7ZvMly0WXHlDp+6anL0RJuvPRnw8IGEx4/HpKrHt7+sw9tfYqirOQ4cn+boGY/TF1LOOXAfWjTcePUC/+E9K+zYMMWZC9NcWKmx1PFZ7khWeim9fkp/JDhwbJGDJztXPnbwwsuPnjq/69iZC1+4+XXvjO6+9ePPNSS+ods/aAZfXukQRQaleO9XHznykp//jU/Id73k4Ev+7dtPewsrm1jutFnqNFjqBCx1PJY6sNxJWe7ELK2mnFuFw0uC+Q2r/KfvXeKFlzU4eX6WMxeanFn0OL9kOLeYcGoh5UIvYXp2xEuv7fOiKyCQdUIVcn65xtlFj3PLgsEYkkRTCzTNWsrMVIIGjp9L6PZh5yafZn2MMQJEQH+ouWjzmKVVD4yVIqt9GCdgMCx3IrZt9OkNFUIZhB7TrvlctGXE6kBw/IxHqj3m2pJWTRD6kCSCwVhybllydslwfiUhDEfgJ9x8VZ+XXC2Yb9dZWmlz8nzImUU4v5hwfjnh9DIcXjK84KpFfvl7V9g83ebEuVnOLdVZWAlY7EiWV1NWujEr3ZTlnmaxJznZhdXlLu//t1HyPa+v3RNs+FEdNK68R6J/PsUnrLWfa6g84+0fLIN/8H9+gpfcfAM//dM//Ssf+cSX/+0f/vkXL9l7vLPr0JmBfOk1fS7empJqD2MUxlj2xkhAAgIhDJ4wBBLOLNW5/5Dk2j3LXLFjRKMGvicJfEUQeDTrkoYvGfR99h+rcfvDAccvjOkmMftPjtk0t8xbXrrCtZf0eMEVHY4tJiwOBI1wxJEzhk63yTUXS1ZHKXuPKVoNj6eOw6VbDaMoZZQGeF7MTAv2nQxRXoovEzwfhmPJC68YMBxIrr0kpTtMOX6mxe7NimYjYnVs2Dg9YKXf5WNfhkePpjx+dMTOrUtcd3mXmdmIN9/c4zteYdizuUUaT3P09BSHT/mcPKc5dSHm1IWUwxcEJ1ZjnnfZAv/pe3tsmp7m5LlZzi81WFgNWOpIVjopnV7Maj9lpW9Y7gvODxQr3YQbr1jkJ956QdY9sevCueO7h8PkprB9cb3emPniI/d9it/7wF8815BZ9/YPksE/+tG/5nlXblNfue/Q/3n0xLlfeOiJY+rccsTSSHFmYLh253ne/2MLXL+nwfmlGZY6DZY7NZY7Pstdj5UerHRSVroJy72ExQ6cXBF49REvvnqZ73xFxO6NTVb7bS4s11lYDljsCJY7ViKs9DTdoaY7NgxGCXPtmIs2aUAQ+oZTF3yEDNm5UbF7q2HrxgHnV8Y8drDF8y81NOorPHlollYzIop85mY0wxFcedGIj3x5mst3JIzHhg1Tkjgd0qqFPHVsRN1vcv1lCY8fiTi/FLBtLmT3Frhoc4RSMacWIfANQhh2bkqYaUl6w5D+wKc78FnuKpZXYamjWe6kLHZSznVgaZRy0bY+3/nKRV58hUfNb3N2sc3iSo3FVY/lrmClo1ntxaz0Ulb7hqU+nOspzq8mvPDyc7zvx5a4dFuTpU6blW6N3qiNV7skDRubf6WXXPrLNXkqffmr/+lzDZ01t39QAN9/4AD1Wq1++vSpix559Kl3Hz1++j/vP3iKYSzpj2B1aBnlTC/hBRef47/92DLXXVznwsoMS6sNVro1lrs+K12PlS50eprVXsJKL2G5azjfEZzpGxB93v6yDm9+oebiLTWiqMFKp8ZqP6DTU6z0Bb2BYDQ2RIkhTUFJQ+hDPTRMtw0bZ2M8f8ThsxFPHArRSZM33hTh+as8tHeKXVvg8/cnvOyakAudITVPkaQxszOQxD6en7C01OClN3T5/L0tdm+BBw+O8WnwhhdqEjHkicMpR0/V8GTAphmPmaagHgqCQKAEJBqi2DCKoDcwrPY1vYFmdaBZ6huGacrO7QPe/KIOb39JBLrF0uoUF5brVm93PVY6sNpL6fQTVh24lwdwtqtY6Ka84LLzvO/HLnDVzjoLK9Os9hp0+iHdvk+nJwjq26k1N/3ilh1X/uX27dtOjEaj4aWXXvZcQym//YMB+PGjh5ifnw8OHjr0/QcOHvydBx96VCwt9+VorOmPNL2RoTeE1aHkwlBythfzwksu8Gs/vMQNl9RYXJ1mabXJSjdktRew0vNY7Qk6PUOnn7LaS+j0NSt9w4We4GxHMzM94HUv6HHzFQk7NynadZ9ur0boS0ARJRKtBdrAYAQIzUxrxMHTBm0ibnuwyXhQ55JtAS++dkCsV7nz4Wmuv9Tn4Lk+nZU2L7p2wBcfCtk0a9h73PC/v63L3mMhm2Yltz+sePGViuVBlyMnZ7n+sog7nxiSjBvcfFXAnh0jhkmfWx9SkAoOn/JoNzw8AYOhRBtBqg1xAkiNF2g6fUOzFbNjy5iXXDngdc9PmGvWOL88xdJqnZWuPTcrXUGnD51eQqef0OmndAaG5YHkXE+w2Eu46fIFfuWHF7hud42F1SlWew26/ZDuwKc38OgNFL2hIE5res+l15pdF+/5id0XX/InS4sL0RWX/8MA+T8IgCdJLKPx8C0P3HvLJf1B8r77H3zIH41hFBmGo5TBKKU/0vRHht5Q0BkKLgwlZzoJN195gff+8ALP3xOw2p1iYaVFp19jtRew2vfo9BSdAfT6hu4godtP6Q81nYFhoS9Y6EOcjrnu0iGbZ1P6A8ObXjRm12ZNkko8aYhiuOOxGicu1Ngyk/Dk4RroBldsV9xwuSasDXjo4ICFxSZX72rSnl7h3sd9bry0xtJglZWVNps3G+7fq/hnr+7zwF6P7Rt9FvsdVpZnueHKAfc+mTJbn+bqS/pc6HS4/+lp6l6TF1xuuOyiEcg+jx0VbJyNOb8Qc+djPqNYISWk2rBrS8TrXhTR6yu2zmhuuBSiqMFyp8FyJ2S179MdKDp9SbcP3UFKt5/SG6R0B5rVgWF5KDndFXSGY1582QK//EMrvOBSe3F0enW6g5DewKc39OgOFP2RZDAU9AYpg2HC8254QWzwfuad73jLoWaj/hnf9/Vzja3nPJM5Hg2Io+H3njz64PsXzh2YPX9hhVZdoqQNFLH/czdrAQphkNIgpccDBzbx83/k8bYXL/Ndr15m97aIc0ttwqBOPQxohD7NukevLmkNfaaanr1ghimbxprh2NAbhSwv1Dh10hAlmtPnEsLQAIJAGTwpGAwVAp9k4PG8XYI9Ww0XbRswTnvc8oBi36EZXv/8kBuuXOHDtxgC0WDXtgGP36vYNq3Y0B5QU3Wi2OdCD5o1j+2bBI/ui7jhsjqvuH6RD312SOC3eO1NBj8c8KX7Iz5/X5Onj9a5eGuDXVtS5mcidm+IuWZXilIaTxnA0AhD5qdDotinNwh48qBvSxSGFoj9IfRHhv7AfvbeMKU/NHSHhtUhLAwU51cMjakOP/nGBf7pi8dcd3GTs4ttOv0avRzciv5QMRhJhiPBcGwJIErgrrsf8NtTs++fn9+0/KqX3/RTvf7gQ61m4znF13MK8Djqg+CHzhy7971H9n1pNhr2qYcBxjkhBgEoEHapEQKksJ00ShqUTAmk5PGD8zxyoMnBMxd420v6vOSqEdOtNsudBs1ujfYwoD/w7JczkgxHHoOxx2hsGEWaKDbEsSFJ7RElAUaDVALfE9QCwXRLMNOCzRs02zcN2DDT4QsPwV2P+Eg9xeuf7/O8K3rc/XRMNGrz4ucJOsMhF5aa3HyZZsP0gLoXMkoUC90YpQXPu8yj0Rrz8P4aL79hihdd1+Ph/QrMFM+/KuAHv32ZLz4acfsDTfaeqHHRvGLzbJ2ZVoOpFtRD8D2DkqAN7D0qSFNBnAiiBMYx9jOOU4ZjzWisGYw0g7GmP4TuGBb6kgs9GOsRr7l+mbe8pMP3vFaTJG3OLTbp9mv0hgH9oU9/qOgNFYORYODAPRxphuOUcaQZjjUXjp7l7F/eMtsfpf/1n775FV63N/ijduu5A/lzBvBovIQQ6Q8unLrzveePf3GjNH2ajRA5tquaABASgUAIhRACKXHgBqUMnjL4SlP3BYuDOh/98na+9EiXl12zyntes8o1u/vMTTdYWm3QG4YMhr4DtrJHJBjHkjgRJIld6o1bLpQ0eB7UAmjUNbOtmG0bByT0OXg65mN31jhyssl0WOfGqzxuvrbL/Qc63Pa1NjddWuOiLQM+8mWBEiHtVsxqf4w2oATMtwd0ewE6qfOWl13go59vsOd8jTffNCCKl7jziTnitMYLr9rIm2/scumODl96eMDjJxs8djRg+6xkti1ohILAtxehFCCEQRvQ2hAn7mKNDePYXsijCIYR9EaClbFguQfCG3H95au853WrvOyqlLl2nZVug06vTm8Q0h/59IfFSjAYS4YjGLgLZzRKGUaa0dgwjiAxitPnu3zoo7dvHIx57zu+/aXmzPnlP966afb/HQA3y/8XC6uXMVr86++LxsP3dc8/vcGjR7MWIkTieNtDCItyISRCCISQKOkhZYpSwi3PGl8ZQs9Q9wQrI8VSZ4aP39Hkvif7vPi6Vd7z2lWu39NhLq2TJCGDUY3+0Gc49ohiRZxIklSSaoE2wmZBhSEMNI1aQhhEBP6Y00tjPvug5NCpgKOnZlA6ZM+WgCt3K55/RRcVLvDE4RbbphtcfTFsnl9hudvmmm2SRBu+8EDIeCCZbia84YUjPnNnzIlzLS6/xOfs6oinjvjs2DTDdbsXuPvxHvc+JRhHAVfsnuWKHSFXbO9x+Owyh07DA/saHDzSpOEJQk/SDA01H6S0xGCMvViT1EqHKBX0x4LuSNCNIdIJ2ox4waVd3vO6Li+7JmXLbMhoNMVSp0avH9IfBQyGHv2RYjBSDMeC4UgyHNu+0dE4tR7/2IJ7GGlGkXV0olSxcLbLH/zFVzY+ePDC+xqtZvIff++WDz+97ygfe/+P/eMF+E+/93dh5g+QnXd+j0qO/mbaOzvty5BGvYZw344UBiFwrI1laylQSuAp5e41nkrxPUHgaQLfEPqGRpAyXRP0xj4r3Rk+cVebLz82YtPMgHe/ssMVO0aMhn2u3m3YsVkxjn3StEjzCwxSanwv5fh5w9FzgtWh5tN3Nzi9OIOJfGZqiq1zHjs3e1y8Da7e00XLRT7wmSbLy1PcdIXH1Xs6fOkxgUh8Ns5Imo2EQRwgjQQjUV5AZyQ4vyy4yjR45fN73PNwna0bAm66epYf+PZF/uTzPR7Y36Q/8llabbF7a53Ltwx44WU93vHyHmeWl/n03SFLg5DjZ31Onw7wlUBKu+ppY0g1xNqQJpqZuZhrrxowHsdcsWPMO185ZuOUYrYVEsc1zi7UGAwDBmO7yg1zYEsL7rHABv7agVszjlIrgWLjQA7DWDCIBMPU4/TpLo9/4p4NV1+84TdvvmFT/LH3b/jzxeP/lQ07/90/PoD/6H/6MK2r/6n45z/Nu7ZNPfWH3/mKpxrX7A6ttkY6UBcAl8IgpZUKUkqUlHhK4Cl37wl8LyXwBIGvqfmGemxoRIapWspMXTCIJL2oydFTTX7tz2dBJ4gk4fnXDti9OSJJQBuNMTaJI4VAKoHnB+w/EbD3UI1mzaMVSDY0BPNzko2zHlvnFTu3pFy+c5VULPFbn2xz/MQ0N13mc8WulGHS42tPhEzXfeamDNOtiEbdSiGtJZ2RYrlvWOqkdPp1Xnr1Kg/uHbDvhGK6XeOFV03zw29Z4rc/BQ8fatIfGlZ7HueX22ze0GDjzIidcyN++l0D2o0Ojx+F/Sclvm9QyiCEJovOjYEkgV2bU158TUIa+8RJiDENRpHPucWA4diuaKNI5fJtGAlGY8Eosqw9jmxWdjzWjCPNKNbuNZMz9zAWDGNBLxKsxIJeokkHQ+L+Y9NvvWnTH/6PxR2JmHvbx0fnPFPb/FP/eAD+b3/1Y1yybaN64L5Pvf3AsYUP/9kD52uP7Zvm1368yxU7+khpvxQhNFKESGlQ0kcpg5IKpZTT2xLfs5oz8BVjXzKONGGUMo4N9VgzjjVRZGgnMI414wSiRDCKJeM0JE5r7DvU5LF9kBqDhbbVxr6EQNmaj1YIV2+Bdh2mmpKZlmJu2mPjLFy0ecyW+VVis8xvfXKKw0emuOFixcXbJXu2r/CVpxLOL03x/N2SmbamFgwJZYhRgiSVCGNI0oiVfo3zSz43XFHneZf1uPvhGptmBI1aixsu0/zk25f4zU9pnjrdYrWvWe0pFlY8Nkw3mWnXmWlP0W7EzDdjdt4QEfoJvpegVIoUNpgw2IsqjhUXFjziRBEniihWjGN3H0nGsWQcSUaRZBwJG6BGgnFkGEf2vI6jlChymj62r48iGMWCUQyDHNySfpSgRwOet2uF9/74Iq+/9nRj0BMfTvq36lF69ScXj30g3bDrR771Af6Lv/5R2o1A7T968p3Hjp3/0EN7z9ZozXLL/T6+J/nlH17lyh09lEyRSltwKx+ltL2XBl8ZfE/hewY/kgS+sF+CLxgHiii2QI9jQ5Sk1hVJSkcKSWpIU02qsXpbk4M7k0KeBN+H0BPUQkEjlDQbiqmGZGZKsHE2YefmAa3mKp+8J+LOJ2ZZXWxz7UWKnVt8Lt0xIhWrfOGBBk3fY35G0WqMeOIwPH3E45odhsFYcd2lMdfuMZw7m7KwEjAcNXjjjT2++viQg6cVzbokDNpcc7Hml79viTueGvKZOzaw1DXs3Jiy0vGYbiummj6thk+zbqiFmjDQhF6Kp6zUkq610hhswkoLEi1JUkGSCOJEEiWCOJaMY+u8RLEgig1RBOM4JYo1UYk4xnH5sOAeOnB3Y0knhsE4RsZ9bti1wi/9yDJveqGmP5hiMDpeM/7Un4qg8S9iNfdXZw9+MN1y6Q98awO8obTsdzvfdezo6d/bu+9Ebbrh0Uk8YiH523sV0Vjxzld1eddr+sy0U3pS48nU6Wyrh33Pw489Qk8x8i3TjH1JFAiiWNgvJ1bECUSxtA5CUth+SapJU+supMY5Jc4tydwZJa3sCTxBGEhqoaRZF7QbhumWZtPsmPmZHolZ5eNflfzJ5+fYWKtx7UWCi7b47Nqq2bllhU9+zbC8XOOKzYqZNrQaMeePSS6shAS7YRwL5qck09Nw8Khhpas5t1jj0l01Xv38Hp+9q8ZcC8IgQMlprtkj+JE3X8CXF/jbu2d4+nSNTd2YjdMJU01Fq65o1CX10CMMIPTB86zDJAVIUQI59sJONaSpIElxQIc4NUQJxHFqSSHWRNl9rJ3tmLkyzoJMrCTpx4JuIunFmmgUMRV2+c43LvGuV/Z57Q3Q7bcYjkPGUcC4d7SmwvAPZS30EP5fYHnmWxPgv/vBT5Gm+vuevP/Ifzty+GR7pqEYJgYpBF3hMxYtvvCAx9eeqnF2ZYn//R0DZtoJ47BGd1DDUwG+5+N7PkGUEvkeQWSlSRTbVLplHGGZyLFSkkCcQppaJ0FrG3BpbbIeTgduC3AbuAp8zwKkFkKjpmnVE6ZbCfPTQzbMrHLPvog/va3O/qPT7Jry2bMZtm8O2L4JLr+oyyDpcv/eNnXlMz+jmG7BdGvMzFRCEHgIYS+u4ThguRuzOjB0+gkXVgIu2tziRVdc4LYHBuw/3aYRxvgqQIgp9mxT/PPXLvKCyy/wp7e1uP/JaZb6HhvbCdONhEZNUq8pQl8Q+hLft7GKUjj70KLcYHtYtSYHepJqt7o5azHRJKkFdxJDlJjicAmdUWJJZRALuomgl8BolKCTIXP1Lj/xHcv8H9/dpxEGdHp1xpEDd+wTxT6j3ql22PB/a2rDNcGRpz75Jxdf/fZvPYAvr3RQSv3Q7/3xJ9574uSpuXoo8FLLKkqA50A+lJLVscd/+0ufvYdXeMvL+7zy+h6bNkT0unWG45DATwgDn3HkEQbW3ssAHseSKLHLbpw4TzvFWX845pZoQwFum6R0zA2esgmTwDfUAk29ltCqJcy0x2zZ0OV8Z8DvfNrnCw/OsrzS5JJ5wUUbBds2BmzfKNi9dYQXrPLROz2OnGxy2SbJTEsy1UyRcszpBUPoSaQAYwRR7LFzY5cHSOkOFCtdw/nlOpdtr/GOV3b4qy8FHDsf4nsxQvho0yROJM/fvcLO7+7yhYcHfOQLszx0rMm2GcGGZkqzllILBKEvCHwbq3gKGzhLkddkGOxFpg3WaUkt4DOQJ6mVdBbsEKW21iXKkkeJYJhAL5H0EhhGmnQwZvuGHq+4YYW3vnzAm27UeKLBymqNcRwSRRbYUewROf3fXzw7p+p73nf5de9Qo2H3j2r1/zU15f9LAL680iEI/B/43BfufO9jjz+1MfSMtfoSB3Bpn/tS0JeSnqzRiTw++pUadzze44Yrunz3awe8+aYOc9Mhw1HIcBwQ+j5RYk9UFigliSJOJUkiiVNBkkjSVJBqUWhtLchVicncGpssUi5ZFPiaMEiphwmt+pgN032G8ZAvPWH42FemuP/JaWYCn2u2GbbMSjbNBWydl2zfFHHxthUePzbk01+dZ0p5zE8J2k1BuxHTGaR8/ms1WoF1h7SB4djjLS8e87n7bE1Mp6+5sOKxfWOLt72kz/37euw9GNAME1ey4KN1g1Fktf4/f3WHy7Zc4KN3dLn36WlOrNTZ3BZM1QyNQFPzNIEPnhIoiUuQ2c+dlR9pJ9W0Lla4xAHdEgTEqSBOHbBTwSgRDBJBP8XGPFFEsz7gba9f5rte2+X5l6VsmvEZjpp0+wFRHDCOiu8sim2wawlKcOr4vo1+7Z73Xnz5y/Sg3/lgo/nNHyv3TQX4ysoqvV4fKfjeL335rl///C1fnOusrhIGCpWzt00tSwGegEBCKKEnfQa+4lQ35Mx9De57os9fXdvjna8e8oYXj5idDojGIePEskGceMQO6EmqSFKXsEkLgGvjmFsXNWXC2ZBK2joOz9MEfkoYxNTDiFZ9SMqQLz4s+fMvT/Pk0SlEHLJrxrBl2rBhWjE/G7B5g2TrfMxFm7ucXOjx+59pkozrbN8umG55tJvQbsQIP6I7bDLdMgghMAbiRDIbKhKd0IsDeoOUla7i9EKdqy5u8aP/ZJX3/UXI8YUmnordheGRJDVGkWTzXMjzL+ly7cV9njp+mo99pc5tD01zplOnGSpaATR9Q+AZfAWetOdciGp1nQaMthddqgWpgSQV1j9PBVFqk0TDVDBMYZgYkiRBx2PmakPe+JpV3v2aHi+7Jmaq7hPFTVY6IeM4IE48x9rKPVZEiSpW3EQyHnR44pE7No5j9euXXH5jcmHhzP9s1pt8M4H+TQX4cDik3W6+9d77Hvztz3/hi+1Bv0u95pGkJl8mM39bCnvivdQWMwVKU08FAxUwSDwujGv87X1N7nxywAtv7/Mvv6PHlRd12TitaDc8ojggSnySpAB5mgFcS7SRGGMlgckDSpfqV8YGsV5CGCT4KqI7jFnoxvzGJ2scvTDDw3unMTpgri7YuMGwYUow11bMTftsmpNsnkvYNj9gbnqFLzyieejpaa7dLphpSVoNSbuhadYjhD8mDD08Zf++MZCmkuHYYziKSbSgN9T0+oblrs+5pTY3X97nRVet8tHba9SXFZ6MLSCNR5IGRLHt8dwwXeMFe/q84JI+D7ziDMcXJH962zQXVhucWgoJlKTpC4JMhklLMjmRZ1IFy+SJESQaYi0YpzBKINIG0gSSGKnGbJ0Zcu1O+33ceGVKu+6RJE06PQvsxAHbrrCek40FuONUunsbM3UHPR598CtzQqjfvuSyG1ZGo+Gnv5mY/KYB/MDBg2zZsln9+Z9/7JKn9x1o93tdaqEFt8okgTDEqZUqShq8FLxU4CtDkBhqqaChBEMlGHghw9RnKapz20NT3PP0kGY45l+8qcP2uYRdW4fcfHUPT9gWMSGsXLFZSVsrbUyJuTEIaVDCeuaGBGTCU0clD+7z+Oz9LZ460SJKGrQ8xXzdMNs0zDSM9cHbHrNTHnPTgs2zCVvnh2yZX+HOJ8d84LMb2TLtMd+GdlPRbgpajYR6OOaeA4pR5OE3LaiMEUSJpOYprr9syH1PTNvCp2HKatdncTXk/OIMP/rm85xaXOK+R+fxJSBiNOQAGkeS/tBjplVjut3kRZcNeMW1A777VQvsO6n53P017t9X58CRJonwGI8Vg1ih8tKHcuDpcgJGk2iD0RpfpEwFETViXnRDn91bRmzfEPOeN4ypB5Jm3SeKGnR6gVtJPUc4Kvfa7SHXHrlNKUi0oL/S5YH772mfOXPhkjd+23eoY0cPp7t27/mHA/B9e59mfnYmePDBB79f6+S/dTvL1Gs+qTZFhlJaFpfSMrZKsBIhNXgJ+FLga0OYGmpK0EgFYw2j1GeY+gzSGr1eyq9/dAaTxGyaH3HVRSPmphLe+eohF22MiGPh9LaEEnOTvweNkIJP3FHn8cNNhOdx/EyD0+cb1OqKqVAw3TS0a5p2DVp1wVRD0W4pZloec9OwYTph09yIbRu7pGaVT3y1zbDf5NLthnZD0WpIWnVNq5bg+xFfuK/GeCDxN9pu0UyiNOuKN75wyF2PaPpjSX+Y0h14rPY8zi01uHJ3i3e+rMvDTzU4vtxCSQ3ETi/7xKliHNvETH/k0ekHtOoNmvUxV24fcdPlI05e6HDs7Cqen/LYEY+/+koDoWzhGpPzB40GNBhDHKXs3JTw7lcP2dBOuXynYdMcpInPOGqRJD4rXZ8kVsSp5+IgC+gM4DYmkq7Wp2wAlIyARFhPXntcWFhmw8b4vz3+2MODrTt2/smBA3ujyy678h8GwM+cOcXy0uJlJ0+d+p2HH35QKikJfWmlibBsnUjjwA2JS8EnWuAlVifGqcFPrQYMPUMtNSSpINKGKBWMtWScSiLtE2tY6Lf5yuMaQ8rf3G9HNmC0O7IsnrPIRFaRKJFKkcQeUnv4nqQVwu55Q9PXNEJNI4RGKGjWJa26lUNTLclMG+amEuZnxmyd75Gywm/8dY27n9jInjmYaTj2bkha9YRGPaLZGFKvNwiVREmnwbFyII59RkPBcJzSGyvbtTTUtmWuGXDq/BQvvWrMT77rPO//K48TqyFCaIyJ0akhTnyiWDIa2zLW1tCjWQto1Gs0wga1MKZVj3j+pRGBH3PjpQnvec0ATyUuCaRtvX1ZlDtJp7VECEnoKyBgNPZYWvFs3U6axTzuSGQRA7nCtQzcGbCzxFLigtbiuf2+LdgNDz30gEy0/J1Ob/DVaDx68puBzf/HAL/lc58m8P368eOH33748EFRCz3bSpVqx9oFuJWyCRipDCoFlVptmKTgpbb3Mcki+tRF9Vlkr0XxXAsiLUmMJNUesQ5Jne1VvuVZSmdLehJ8BbW6oeYZaiol9CH0oBYY6qGgHkgadUmj5lmANwXTLc1sO2FueszG2T5bNy7xgc9qPnLbJnZMKza0NO2motVQNBvQqKe06jFnlzSHz4bUAntBQ1bpJxhFHrs3azZvGNEdBQxHxrG4ZLXn0arXaDWmec9rLnDk7Dn+8NPb8KSHQZPqlEQb4sRjHCmGkS2KGtQkjZFHPfSphymdno0xAj+1CTM/xZO2UULK1NX9mFJjia0MsiAXdLSrstQ2rklTidaSRBfxjgVoFuBnj0v3iXCvZ+C2SaY4FaRplq+wr0Wx4OGHHxOXXjp4++7duw5/6lOfGr7tbW97bgHebHhBt7Pwc8tL538uTcayFkgLTilzgEtpSKUh1a6WOxWkTp4kGrzsQ2bJB23cc5O/VjwuKuWslyvyQKmsuQGXyTMuoNV4ElfTAr4S+J6xvrEnqIWSWiCph4p6TdGqS1oNw1QzZbqVMNses2FmwEWblrj/wJiP3rGVmVrIppam3RAW3HVJs6Zp1hJajTH374fH9jW4ZN443VukzYdjxY2XGy69aMgDT04zGNv2vP7QcyD3adTq1GvTfOfLl3nswAXu27sZjELr1JbDJoYkNnk9yXDs0RgZ6jVFLdCEgU8YpISexvNSfM9mh5XSrojNrrAIg6DQc0VwbkuIdeZI6cx+LVmxGbC1BXHxnBzY2WEJzN2XjrSUlBtFQ3nmzLn/MwgbQbPZ+BUges4APh4PZDQa/dKtn//oT3VWzwaB75Fq57umglQI0grALbCVSyqkyuBp91jbBlqdkj9Os4ybyTJvBu0ycVmywhhDKfNeWXGzVHWW0FHSZSwVpaItm/0LA0UtVNRDQaMuaNUN7UbKVDNhujVmbmrI1vkV7ts/5Jc+tIkTp6a5eINmugHtuqJZVzRr0Kyl1GsxgT+iM7LFYr6y8Ud2S3WmRQPa9ZhBohm4OuvBKKU3kHTqikYvpBa22LU55pe/v8N//LDka3s3YVBoo0lTTZImRIkmihWjSDEMJfWxohZIwsAQBorQ0/i+9fs9ZVydj1tVnUwRwlQbdF1q3zgSMa6WJXWAT3Vxb8lIuntRANw9TktSJEu+2QvAkVZeTmFIteHo8VOB8uo/8wPf/x6/3x/8YrPZ+Hun8//eAO/1ekRR8iuPP3b3v15eOFFrhNIxryBxyYVU2itWSUGiTP4BtLTgTh24dfZYC7Q2eRpZ5x4tGG2s9HEloOWDCYBnga3IwC2ymnIriTzXiuZ7kjCwA4BqoR3JUA8NzZqm1UhpN2KmWhGz7SFb51e5b9+A//gnG9h/Ypads9ZhadUlzYa07F03NGopjVpMnEb82e0tpFL40jpJOYObbAn3+eevX+HWhyJ6UcjAAbw/VPT6ik7oUQtCQr/N5TsS/vMPLvEf/kRw75Ob0EaSaptWjxNbaDaONOOaLXcNQ0HNF4SBzWwGnskztp7SVibKwrbNAV6kPAFHIthcgnVbXCCfAdhNHdB5cg3H7uQrbrY6FwA3pXtTvXdkd+Dw0doXv3znv3nzG18jut3uz7fbf79M598b4Ivnj6CNftGxQ4/UtY7sPGttLLhTHHuD0rh7QSoFaZ4ezsCdyQ/7ms5rJYr2Kwt0YesoMlBnJ37ifRW9m67ORFIUU7k6cgtwie9LW78RCGqhnXnSCFOadQvudjNiuj1kfrrD/fsG/NIHZ3nq+Aa2zwjmmiVpUvNo1mz9Sr2WUA8jfH/M6aUZfCVQUjtbrggy01SSJIotM4YkienGNdcpoxmOUnojSX2gqAU+gV/D96a4YnvCf/6BBf79H8N9T28k1dICPDXESeqYXDMONbVIMgpULsF8H3zPOVdK2lyAdO6WAOHu18G4lSu4pBAiTw5plxzKssVpWnpdF5IzLQFb6+L7znEwAXKtDXEUcc/XHqrv3r3rRfL/wY4Tfy+A733sFqQYNfY+dmtAukIY2DctU5AO0KkqgodUui9VZc8tU6ce+QeqAjuTISYHusnkSPb4Gd6bFEURlZQgpcjBraR0jRKZPIGaD2GgqdcM9dDq50Y9pt2ImG4O2TDT4aGDI/7DH83wxPF5tk4r5puaqbqgVZM0aopGXVCv2YvDpvoj7tsr6I8Cagp3kVkNnjUhpFoQJx7NmuLmq3vc/1SbQWxlynCcMhgqeqEiDBSBHzj9PM2VOzS/+sMX+Nk/gHv3biTWklhr1yxd9GCOA0kYaMveflFH76nswMmUQsZlzSbrgTxLCpkM4A7wae68sO7Kq10spUsklqbG/Xw9oGe/D2fOrfChP/t08K7veHPjzz/+ucH3vOvb/tcD/ML547Rntk/vfeSTv6+T4cs9lSCEslegFNUrVlrNrUvLlmXs4irXSqzP2iVA6xzYRVMwTnvnX4awmVIhHbhdkZHKAQ7KVQz6HgQ+thMocAVWYUrdyYtWfcxUa8hMq8ujh8b8hz+a4bFjG9k87THf0EzVoVkTNOuKRl3RyNk7pRYmtBoj7nwsYLVTY2amSJNngNFOm8apYuOc4jXP63Png9p20US6BHJJzZfUfA/fC/C8OlJqrtxheO8PX+Bn/8Bw7/6NxNojdhWAtuzVMnkYy7y6MPAknueKsKRAedm5IX9/2UWYSRWRVaVRJIQmD12617p0n6+8VXCXKzvT0vMi/iokahSn9PrDlx84ePSPf/QH3vljNx85trrn4l3/awE+7J0hGi787Ori0e8aDZYIfJ9Uawvm7A3KiSVKC6ezs6u8uOIz+ZHmMoScvSuB5CRzO6RnGblce8usgq7Q3VnFoKew9RmewfdtY3Et0NSClHotoVGLadbGtBojZqc6PHxgzM/9wQYePbKJjdM+GxspUw3jwO3Yuyaph5b9a2FCI4xI9JheFCKUxM8YPNfgwrGX84tjn2YwsuUCUY2ZDOSjlEFgGTwMpK2J97INaA3X7DK878fO8+9+T3Pvvk3E2mOcCqJUOxYX1GJN6BsC3/auei7u8JQtEVZSuvPjuvKz+1JhVn5hlmOdCXDnJFQipjK487jKFI/Lr2W1+jmrO4LURnD2/BJP7z/6XXfe/cjhKIr//f9SBh90j1Nvbd/59AN/cK2JT1KvCbTRSI3rmywCDaVNEYRo4zpKsqIeUwK4yE9UqssnTJSYoshKmvKambF2OajMllvXoaNcMOV5rjPIFSFl1YM1P3W6OaZeGzPTHjDV7HHf3oSf/8AGHjmyifkpj/l6ylTN0HLgrtesnZiBux6m1IKEdjNi7zHDHQ83CaTEV9oFcYVHkS3fcapItMcrnx9zycV9Dp+oM9+g6HMcpwxGjoU9hef5rhLTetdX74Rf/ZFF/v0faL761DyjuG6TYYmh4Wq4Qx8Lci9bvXTe2ypVmq9wSooSwEUJ5KzRKwXITRXgeYVisfKutzIX7E6VwUsyJ81+ZhR7D5zlM7c9eO2v/OKP7Nx38NTxKy7d/s0H+OryWZDTu84e/9p/j8dLb5X0CAO/avHJwifNA4/cXjLoNJMjYs2SlvnDJve0J1ySNW6JY+5JcAuDVJkt6GpelGNtzxB4Gt/XhL4mDBJqQUItjGjUxsxODVjpDbjrSfjVP9/M44c2sMGBe7puaNUFzZrIvXLrvGjL3oEFeD0cE6Upo2GNmrIXmRSiUsmXJVJsoOlZLe+NGUeGYSxKANcEQUrge/i+tFMFpJ8DHAHX7Rb86o+t8Ot/kXDvvjnOdNqMmpLp1NBKDDU3cSD0jfP+MyfF5OydSZUM4Pn7dW+6jPNcIbovJVtVC3BXJaWt5iyBvQL0zPotVvO0BHrtknqdwZBzF1beesvt96avfdnz/s2JE2eOXXTR1m8uwIe9o8Re/abVxaff3l06gO8FSK2tzp3wRXVu+ZVeM05vu6XHglq4pS1L2FSlSBng2Skuq8LsS7DjHjL2Lrrxi+FAtizW97QbM5Hm4A4DB+7ZPgsrQ977Zw0+/bV5FvszzE9J5msO3DWruxsusKyHkkZoHINb7V0LIyDiy48GrMQBcyGVemxEdYWy2TuPdujx6hsG3Lc/oheHTOUd65pgbGvVA88C3FO2IVtIm6DBwBU7JO//l10+d9+QX/ngJk4tzjCc9pgOBK1E00ggjO3o5UDZgUZ+FmhKkQfB2X05UC9fmELkvSL59wMTErIM7FL8pEvgL+cxJkGeJfCKHIgAqXj48YPs2rHx7VPt5p/1+sNj31QGT5MeUjUvXTn75X+V9B+kVgPQSG0suI1ApS6lm2W+MgZ3GbAM0LnWzkGdSRBT2FCTrF2WJe5EZ8ySpZszF0BlAFfGluN6WW+n7e8M/JTAT6gFMWEQ06oP8bwBdz6W8sefb/PZuzcS6TYb24INNStLrAWY+eTKHcIxd5m9YzxvzD1PTzOIPLY0svczyeDZ6mZLSWu+4kVXDkm0BfgwFrZrPetcH2sbHHpuNoyz97LhdgbBhmnBd72qTys8wwc/P+Sup+c4F9cZ1CTtxND0jAW55+IQZVxc4ppRZHYORVE7LkFSsPjkjoK5VMlGVDCpzcvdQ0Xtecbo6TrBaVoiwNSUAI/H5+98mquuvvxffddbX/rISndwcKb99UfCfV2A91aPMVz4BMqf2aqH+17hi/MQNkh14phborRAS0mqDcoUzK11WZIU7F2RI5nWxiUTKsAuWQ9l+0qYCWmSZeVsxaAd7aZdzbcDt7K1GKEfEwQxNT+i0RgRBAP+/DaPX/ufGzm8MIsf1tjcEsyGKe3Q0Ayh6Trs66HNdtZcQsjWr6RuJbDyZLGb0o8CAqUIZNHcQemjZBd2VrsRJT51f8Tm6SGrgxbDWLhxazZW8P3U2XzK2Z3KjdooB6628vGtL+tz41UL/OqfjvjIF+ZZTpoMQp+mL2l7tgYn9CBQ5M0QXpb0yefQiDwLnCWAyqRSFStloFNZgbWpSs1Cm08ca8yGUvbavZZoxbkzXT53975XLAySrecWugf3HTjBFZdd9P+QwU2KbL9l17Dz2AdWF/eiPImQSV54kxrtinE0npaVdK4xVYlidFHfkAWP+UlAlCSJmJAmGbhNwSYu+ybLAJcGJW2RV8HcqQN5QuBZSRIGY0J/yLHzCX/4uSaf+uocR87P0G74zNZgJkxphcal3jNwSwdumSeFak57h4G9cNrNMZ+8x+Pg8To1N4ErbxejQHk+xsFYHR4nHlfshG+/sccf3zJHv+HRdrNHwsjFDUrjedKNraMEcr/0XVnCuWiD5Of/2YBrd5/iDz47y5FzUywndQa+R1MJGg7ogTT2wnEuU776Zec1sw+x+rzIdJq1PnlGTFnpRO6br7UUTRnEpmoy5PLEATt1OYPEgFCK+x7cz1teduUH3v2al7xpYan3daXKswLcmDEQMFi+e3vcf2SPSZfwlIcWCVJKdCotY+cyRBbFOeXHleIdcvCbMnsbURmVbNwXRsbYGchFAWx7XxR0Kamda5Kxd4rvJbZzx0sIwzGBN6aXRvzOxwM++LnNnF6aRqs6s1OK2cAwFWgajrkbefpeujoVJ02cd56DO7DZy3EccfBUSD8KmQmdi5MlnTJXIsvCZl9cKoljj3bTY/f2CBWO6EUthoGgHhvGGcC91CVqlPWxZVYCvF7wqpifGvCjbx3w9lee44Of6/KHn5hjcdhk6NWoeYqGJ6grQ5gYy+auT9aTRXlDluVcw+SsI1cmHRaoxlKZDCkRWZnF8zjNZC6KzZKmxtatxEaghcephS633LN/jwjq29/1xhuOLXdTZtvPvNXUswL87LlTGDE9LxM+7kW3+c26cgGBxGhJKmVeP5z1QJpMjpRZPCvWMRPAdoAvGFs8Q4bSlOxAkwO7Ik+kq5JTqQW4l+KplMCPqQURgR/RGUXc87jkz29r84mvzjFKWwRBwFwgmA40zcDQCA2NoAB3LZSEoSR00sQmhpwz4QAe+DbzefSs4a6HGkSxT9g0awLM7Faks+25i2KF73u85sYeH/1in/2nmgxrdjTD2DcECfixxo80Slk71soIWQz3oTifqZYkWtIIPTZND/l33zngyovGfOS2Fg/unWJh2GSkAnzfo+YJ6hLCbMBSZq9KO94jL1gTpfPvmHyyOKvM6BlBTTpi2fNCe4sSm5PXGyUl5o4cwBNj2/Y+cssD/g+84+qPk154XjzqLfy9GXzL5u3y8KGHb9q796+nXnppBxXUSVLPsbPE0yoPJJUbYKkd4CvgnpAl+ZEB20mUMoNXCn/cxHCEcYkcO+otK/e0utvgqdQCXKW5HPG8mE4/5u4nBR+6pc1tD0+x3Gkh6zVadcW0b2gHmoZvaASGeoBjbcvc9VBSCxS1QFALcBV62oFbE/pWfytvzIFTcLpTs4kVp2+riZOifsb2QVqQJ1oSRR6b2oJLdwx54kTCIPYZuxnfQYQFn8om62aJGpis08gunsyGjFNbH/7u1wx5wwtX+NIjPT78hTYP7m2z1GvQkQH9wCNQgkAKQmkbwT1pd6lTorhIlXBlv+sw+Jr6lUkmLxGaphR4GkFK4X1nzB07UMc5+LNlICaKe9x1z19PNYO33bR164238CzDg54V4HH/SLhjY/p7mzjYlIA2MVJqB3Bbl6y1wDPlRl8L8DK4K491pkNLAC+dkAovVKSJqRToW1minebWKJnagfiZmyFjFnoJdz7k8fm7W3z6rikudJuIWg2/5dP2YMq3nTx1Hyc7oB4Id0hXcup0dyAIM/bOAO4lBEFCLYgwJubLD4ccP1tnw6zAl9rpWFE0+pbYzpQs1DRVDMc+OzcJXnPDgE99LaIf+wxjQc23/aqBmyxVrFIq96vtHHWK82qE7UvNGhW09dvr4Zh3v2rI625c4m++2uNzdze48/EWFzoNhiJgGHh4vsITdqSHLyW+ME5qGRSiJA2r9uE6ZF5xwQrmFnkAmk4wtj2K5zq/Mly3lk7AJKQpvP8j3eall4e/109OXAkM/84AX+5o+snwe6LlL03P1S4gMaRJSqpt25Jt7JU52FUmUYysyJLsefZa5UsA2zu5Tk1gJaAsAdsO6LSSRDiAe15K4MXUajGjccr+03DsjOJjt09xy4NtLqw0wa/htX0aStLyDS1PU/cNdR9qvgV3zbczCW2ZqSwdwv3cOJDrHOSBb9vTDp/RPHE0BN93y7wppehFBQXlIMzWSwuS1I5zvmb3mKu299l3usGwJmgkgjA2jBXO2tOOvTM3JbMgC62S++x50k256QM+o8inXh/zfW8c85abV7n1oT5/+cUGx87U2He6QbQakoQeI89DKjvVVwGeu8+YPJcuFMH/mlvuphSg1hSg1pDrbPsz2/ici3aTuixgArjHOoUEOqc7PPLkI8zNNZ+No58F4KurIoqin/y9Pz0wfcmmgJsui7jx8hjfT6gpgY4lUaTQWlk2z1gjB3QZ2LLQ3QgHakr3E/DOIvVc89mkhpUk2u3ykBKGdpJqkqacW4Lbv+Jx+FSdO+6vc3qlzuEzTQhDVMOj5imanqHpaesi+HZwfs2349osiLNDukM5gOM0twO3nxL6lr3thRVxdAH2Hmvgy6o9mEsUinrw3FHInBTt+hoTn6t2Drl044AnjyQMEp9WLBh7ECR2JqAqAVxKgZCywuQwab+JPJjN+ijj1GfsB7TrEf/89WNedm2X0ytdvvxAwJGTIbc+3ODMUo106KOlRxwoN79d5hsSSFzGE3LZsh7IK4Em5Sx15rZkGlWXDsfYGajjFGKN8DVSJbzw6oibLo152aVf3vC61/27f/VT7znyPhFcvG749owA//U/+QJxkvDRv+lCPM/urSOu2R3xiheMuHJ3zLZZzSW7xigjSWNZWRKrQM+kiAN2icUztq6+M1OK2AvWzqWISvHDlDg1HDkpeOKI4vb7Gzx5NODpo3W645BxFIIfoNo+oRI0FDQ8Tb3kA4deVqeRlc3auvDQyZIgUASBdBeAKbS3n9rMom91fi2IMTri/LJkbEI8TxJIg1ey2SYIPAd5mgfotr8xSnwEHvOzEVKN6Mc+A09YpyMuCsY8pSsZSClKUWw27AiB0bJg8tJgJD9V+fiJwThg80zERZtinn/xmGE05F8c7fDksYDb76vxxNEaR07UiBMFocJIBcIaDHk2KE9SrKNVKuI884Gze126nzi0hljjkbJnd8y22YQrdse88gUjrtkds2uTAWOag6WvfBfCe9/ficH/y+/+FReWe+rLX3tajEYxURLy2GGPJw6l3Hp/kyk/4aLtCddcEfH6G8e8+voIjG2LqjdxOluCFiQO/FkgWWHw8iVvLKBx80t8z4DQCGmII8NgZBn92CnJX9wWMogVjz5d49DJkMV+wDgNwAtA+ai2IpCCuoKGMtQUdpyZcoVHyrJ24Aub9CiD25cETpaEAYQBzjWxKXPf0wR+4jKiMfVaxIWVlNvvbdHphcxMCTyp85KBDAfrMpsuBYRaMh4rNswp3nDziFsfHHKi02ToSytTPPATgx9nnrXz2GVq7ULKs05k/je08SolE2kqCVJF6ikS3459iGPfWql+TDOIedk1CS+6cszbXjHiwEnJY3t9hpHiI7c3OHrOByEZDD3SSGXlmxgvA/iEZVRO31YADhiNSA1CG4wDdr2Z4vsaYTSvvmHM628ccfXlMTu3J0z5sKFtQCvS1CNJIoy5X4TtG5XufjiR7e/7RhlcMD/b+p3e4uJ1kU7t0Gw8tE5Z6PssaM3RZc29T2o+fnvC/GyC0YYbLot492tHrvUI5qc0118T0ay5FceIPAcm1vmb2XCezkDw2OMeS11JvSa5f6/PZ75aYxQrRrHi7LkALTxi46OFD56HCD08KQmUoCYNNQfsUBlCZWwNuOc8X69g7iDry8zBrVyPpsjZO/A1QZAVaKU5ewdBjFIRX3lE8amvtVCBZ+22iv5+ZgbPvPA0zRwPxWjk85YXD/n0PV0+8uUp+kmNptPhfqbD4ywpY/JuISFkDjD7p2RJ65cArt1oB88yue8pEs/DS1ILdJWilB2kP1NLePHlCTdfHmPEmHe+asAotuPc/varIQ/sDaiHgsWu4rEnA7oD6VSS4BlFeb7zhG0NvP76mA3TqW16SDXvfu2I6y+NMRrmZwyzMxrPFmWgU0k0csOdEAiREKgL10lv+neAH/2GGPzCYpf5uVb737//E5dHpqly599o266j7JWmjWasNec7mvOrdmjMgRMNPvMV+3OTGqZmNDddF9Gq2zrgddOT5UvduQ6rfcWDTwR0OwrpSTsTxXiWmYSHnQvsgfSQUuJLYcEsDaHUBNICIVAQqGJGnwW5KBoePNsIkDUel8FtGd6V1foZg6elIyH0YoyJOL0YEI1rhFOSwKW9lavKq2QxBQV5lazTvDtdK6LYZ6al2LEhIhAjhknIMBHUPTsEM6shyRJaSpbLW2X+t+zfyFwtXWRPtXbNJ4U0SpLU5Q2Um8ueECcpKra5BE+lSJmwfYN2K4bmyotGRGaI9DSdjuDBJzxWBxKVK5ZqUF35pl0xVrOmedF1MVMzGpPYlb2u7LmzMlehY5/I2PdpqMZ34JGkgfL95PLGph9op8nbusqbfnaAnz2/yNLyyvsOHDz5qtVxigzqrmjGVPXSZGCAJjGGTrYEKU131XD2K83SR1wP4GX95r4cIdDZlgu4mlOhiiBHSmdlZaB2aWeJ27g1841L957rpFe4rffIwW3buhSBA3fgkZeYWgZ3LO5pApcd9f2YMIw5uaj501ub4AX4UhQBZi5PxBoGL/vDWYLMgs06VFHs8543DPmbO4c8fb5FP/VpJHZTWlsFaIpOHJXlBMrBXla6mEkhWSrwyg6d18J4nsJP7bwU3wFdySJpZuvG3WOh3eCgFE8YhEnZ0NB820s1iNTJTEBk+2es853nNUbCyo3YI5vHksSSmMzmtPcgchOjOs5CEscGEZ98lamfeB8m+fGvy+Af+svbUVIEx0+cpaXAFxBpQZLVDKBcvUFpnc3ADiXwG1CG1C+Be118Z+yWAbwavAgp8xY0Jez78aUhFLZa0Jf2uSdxNRWuezwrJPIozUHB7cxWdNUXAJe5bAkDk7e0BYEuDc5J8B17B16MlBHHzwkWujWE5xFKKvJElj9W6esuS4cK8JzTESU+c+0xOzcP2XduzDD1GKUQpgI/NfiJ0+EJubNUpNBVpVMhi+3spN2szlqUpJHGSzWpkigv275cuWI1u62MksUhpEY5kIvsb2OnZAlpctcrA3rmgK0H8CK5V8RlmSlBJX8iXdBsf1aMsXCzDrtnGR/5XLBevmcNwL/w4AkQgsWlMUoK6sIQCBvxJ5ln6f5IbvmQqY8M+GWqejZZguvKKRXWC4GkSBHbqVTgC4MvHGidBMge5685si9KQckbbAMlLNgr4Jb2PsiAngWfDtxZ94+nc4nie1afBkFMQszn7qlzfqGOP6UIyjUcZQeFCUVaTl2Xqi+zpM9obCfYvvklfe55fEQ3qTHwPOqJJnLpdCWLgqis4Mxu5JX9pSzQzKo2M+vQzVQxkCr7Nz0tSJTAS6Xbxc7W8iQO6EUyTecJNil1KfHmHssyuJ3Nm+8V8wzff6nQjtyEoOK+VeuWsiI+x+YYQm+FuvfIulCrAPy/f+h2ptv1l/7BX95549lkiUCWZnmg81qBzLxPoZJ6zd8QX3/jlVyQZMkCASq7FwYPcqtNuZSxnW9SaFyVATsb6OnkSRnY+RwUhe1HXA/gWcCZ6W4vkyXG6e1qLXngxwR+xLmO5uFDdfACOwJamjw9nzM4VRbPmKvwgculojL3xOPY54ZLxsxND+msNBgkioYCP7GfRaV2gJKKywDHgjz/Q3KiUlO4vklXHKc0qRb4WpAqSao0qRIkDuTl4rWsHEJmIC+BOiuZEGgHclxJc5aJLpJ2lWKMSv1Kmc1L75n1AZ5dEGAQJkHI+o3N+W97aefsm+6e2vL29QEudMR4aL5t2tfXhyYi9H0MmvKUo3wLDEyFvXUe2Nh/S7NWkQhnn5TNpOwqz7JiBTiK7U4mSzi9rDbC1YBnpZ62uTjrVLGyROXdKwWws+Zby95Oc3vkejuzBC1jF+D28+rEGEHMZ78acs+TLWToEUhh52/nFYTl+SzlOuriS821ZKkCM9WKVCuGI5+brx7y7S/r8YefbRGlIf1UUksN4wS3cpWr/rSTc3rignomJgftSdcLKXJwp0qilLaMLqUbLaFLpcjlGiBTgLySbc6YPFukSzJVrCXz8si9ooYlkymTZR1VsANEUUyqwuvVePxtRuu712XwI8dOMTPVesNHPnH7PxssX2CqLkEUBepMADpjcSh+DlVFYqhcr+7DlhjcgTsDgCyBQlLUPJRHG2TMbbcgyZ7jGJy8DavC4q4bxldVcNtxChPM7Xo2A9fe5ntZw0FSOmIiYv7yy21SE6Ly7GU5wCz6GjNno6LBmWjX09JOh0qzYNND4PPuVw/4s8+NWdUxw7TGMBX4CTmLS2mQiciLzqxdOLl+SgprUpRALkg9N7pBOZB7tkvLS6Ubs2crGG32uDpvUrkJteU6oaxWJW9KyYFeSJW1AK+u7RWQZz8vlXdU7g2kqaK32MWE43+2fc8b7uisnL51amZbFeBxHDMcjy8ZDvp7hv0edT9wQ9ELQJeXDu3+cjnVXgb0M92EKDF5SZ7kQJ8oz8y1+ITmzEBfnu2hlCi0uKu4qwy7ccD2lCiclNwOtB33tjHZOOYuAkyvxN6hH/HwIcnBMzWM8lFSEkiNN1mnURLgky5KduSdTlqU/GoL8jjx2bM15qqL+3ztQJ1YBQwTQU2Cnxq8RDj55rpwEqfDkVYuVP6kKLG4KEmjYpRH1jzuKZ3PkFRO+hXgzmqBjCsTyJicfPUQJXAjsolZ67P3ejeTNa9SALm8ClGSXNk56w+GNAajPUkSXZIkya1rGPzY6RVajRHnlkbE2mbOxARjmxKTU3q98sae5W3nzF1m8kmgl8Ct8prvwnYrJIuw3fOiALcNMkXeLe7l4JYVgJeH/9hue3Jg59nKnLlTAs8mdmxXUIwh5q++3GBpqY4IPeu7ly/CyRqUgpwqFmHWfFuu4869aa2IY48Ns5J3vabHw4fajNMaAxVQT60Wz8pZlcSBO1srtPPEy9GQrBCUDdRM6QIrz7GRKJ2tSCZ/LPNt1Z0Gl9l+R5k0kUVzxCSDTzStFOm+tYV2kyqgXLNUfv8ZBrUR7jvrYJJziHSU//c5wP/b7/8tUkpWVlZRSlkXoBwEVEBeAJzKW3x2/s78/0KeTNyXAV1m8cp4sYKxZZnBlSixeCZXJMqrAjzw3AAgP9s60GU4PYOfp+K1e5xWDk/Zzp2nj8PHb2sxlgFKKpe9rF6IkxnMNcty6RxWdbjT4qkiST3C1ONdrx/xoVsGPH6kTqx8BlISpNq5RwKZmtJ5Mra9TJTXU+3+VnXfojKTpxq83EK0o62VKwlQqSmGdeZzWUR+QScTetx+n+ViOUpMnoH86631VRAXbL7ez8DzFFHvSc4fOm7T/mWAHztxmp07tjZ+6hd/d/cjqxcwnrXeJsFdubrWsPc6YC4/F5OP12rvZ5YoIgfO5DhkWWLsLMjMpjZ5XrbJq9PeagLcWfrezxqTtZ0ZkreIZT2diTtilB9x8LRHLwpAeU6emIny2MkLt3pCqgONJrxw141TJH48mr7g8m0jHj8YkeqQoQ6opbZm23MaXAm7katNLGVsqcmCzILJi4RJ1uHu5YNN7WvZwFRP4zqIjJ2g4BqSs+laadbdnxsARXCZB54T33eGljUNExWXqQqsqsuyDsCFvUD7A4Gqbd191U3/srG6/FOD6dktFuCnTp1lZaXz+st2zf3sY4+NqQdVQ6dgarOWwUurzDMFlPlrovozgc3nlIFQALvoY1QlVlSVoZoZyClqpFUJ1Pljl+RROC/cgtsCuBgK5JflSZm9levrDCKWe5r/8dctloY1ROhbeSJNZVUpBuc8u+asTBPI5sTkDG4dlSTxaDc8fuIdPb70cJulcUAkPYZSErgeymLkg2Pwcj290HkZrUE7cOtS2rtoFfPcFKosSM/ArqRwDG4lUZq7KOQypdDhRTthIVOywLOwCivnZmKVWx/gE1g0JYy6kuzBUFOf2/qzZ08duDuOh38DjsEff2IvtVrAyZMn8WWCUEHe4l9Jsq8jT571NvEFVwc7TrA2RVrbzsmblCjVwTQ5sKVAqmL8mCqB2pMSz0kSLwd4prl1HlT6ns7B7XtZ/UWVvX0VEwQRH/uyz1OH6yB9pJSEWWlsydrM94h3H/IZqwkp2DzfqaIkUxIt3SZPPtfsGfDWl3X50C01tBcylAGhFHnSR0lBXAroJplclJm84kIUNTFagTJ2VdBGWHBnU8LcMNVirEQxi6aYTGv7OIWsypPcWalgoHj+jdzW4q8AuF0BJcNhytmzpxnHAWkyJgd4GPrUwgDfU24nNPJtp8tDXbJ/UBiXbX0mkGcfouSW2JezwnyzZqBMxTPOA0tRsHnOkF8P4LIAeJ7oyQBu7JxsJ0V8Vbglfmk4UKG5LXv7np1atdLR/O1XWix2Qqg590SUgrFnkCgIUWXycpA+advlPa22es66KR4zbcU/edWAT98zYqkfEimPYSqdPSmceyOKZmw5mVjRrq4Dl9fQuSbPeiO9zFlR7rEbe63dOOzsvJdBLtzOebmUdPLErs5lPS4m5IqoAlwYhHlmtFu8ZcCrSmZDdu40QiiU8nMd7j3w6EE2zs/uuv0r9//kEwfOIoRy7LN+p/vXzby7N5MRmGHiyy4BvXqI9SVKljipALs6+7vc4WKHu1MFd7azQcbcqsTcaxg8GzdRjJzwlM1cHj0mOHC8hiZESC9vzi2qB8vxgyi5GsWHL9eiFEwuSvJE5E5G3m6WemA8rtgZsWfLiKV9dUwaWBZPrUzxSi5OwZ7lQi8nuLMyWnCFcqIUfIKWxdzIcmyj3NY02u3ckSe0ZEFGObi1cLNUMk0uJqSKmMCDyZ+sJ1OK10RRqFX6nexcBr7E0yfZuOHin9y686WPdpf3HfMwKfF4tBmTvuH8+SVmp8L86i+XlOTW5OS/vs5Ft57enrzPZ4VQBXlVnoiSMyFKwWYBaMvguFHAZR+8fLgtrVUZ3CWQu/3qfVcamrG3cs89L0apmM99rcXBxToEhTzxS9Zl5YJl7biINayUs2c54CyN4Shp8SjyuHhDxJtvHvDA0w3QPklqtbifuuxuWpVKBXOWgyUHcmNKEqUkV6R7LN2qIrNDuG1pTD5uOVW2gtp+LyYnpiLhU37sWLrU3pa3vZTB/XVcp8knuXQRtm90NFgiTcwbxuN4c5KYY14WEYeeneLkZ8VopUvpG5Hbk5dbmbme0R7MTgJVrV3IFJGXgU4CO2dzJUpNuCVwu/mExbYdrAW2VwwIyke8edqBPLHyRMXUGxFf26/4m680GY4CaHh4UuCLqjSZfP/lz7wuwHOQl2SKmUj4OJDHicdUy+Ntrxxxyz0D7t8fYJo+wzQkEOQXmsr/fqGDS2tpDvJyzsIGn+4CU5bNU2n1uC6xdhbUaxdcSi1K+luUAt1qDFXo7iIusK+JHOhlcD8Db66LQ1MiWq0FUeQzipTdojAReOgErWM8ldKsC3xfPKMMWY+0Deu/mQpbrwH4pESpTjQtgkuRgyafl6dKuzco4WpTCnAXIM/KZg2eV4xQ9twmTJ6qAt3P2doeStkAMwgi4ijllnsbPH2iAb6PkMqBKtum3FS+2PWqCCuuQZm1sxKIUiZT59PCZO6Jp6lHFHlceVHCG1/S57FjdcZJQCp9hloRpEy8l8wLZ4LB7b2ZeC+uChptNFoJVFbvIQVGgTSFHs9XVAlSl2YZ6mLVkJMAn4xLmAD+3yHTuS4undSLI4/ByM5WH49TvFu+cAuep1hZ6dJuBK6qrXoCvqHbOo4JiMoXu0Zzsx6oM8YuB5jFDgSFNClZhTljZwAvJqfmEsUxt2VskzO1l98Xj30XXHoqJgwinjwuuPWeBoNhAE0fKbLKQUr24DpZzNLnLFNDVotivxVXWVh2U8oJn1IBVhT7tFoRb3zxmE/fOeKxIyF4ASMtCZwWV9pusFuWBiIllwekE96uKpwcT1FIF2nZPFtVsiBfGwt2qYtEm9BlN8V957pg9skcxxqAT4B+kiSfFdylWEZrwTjxefyxx9m37whap3jD/gpKCeIoxlPS7S8/MZDnmTFdfT65xFQ+jKhcweuyuCyBvay5c5BbvV3OZirlKgxdRaFt53KPvfJ88Alwu8PPptC6An9PJfbwYnw/JjEpn727zl1P1qHmgbQNzX6phLdSGls+yk+e4cupzkMXpaZy4SarygrQxyOfV1wz4M0vHfDU8RpJ4mOEYig8/JT8PYm0YPHiLazP5OUh9kplzG3Z3D4XSC1yHZ77/RmjZ6utY/B8aOcEuCsBZwXkhauyHrCfDeemci5tE8fiUo/UjBBovFFkU7KjyO7Uldk/f9ebKP3fJGMXj+0TWQZ4qa2rvLNABdgVqVJO05cONQFuVTq8YhPUDNB+CdSZc2IdE3uvVEzgxzx6TPLxL7eAAKSPECrvIlJuI1U5wU7Z58m+GpGfk5Kgy0BFmblLGtwIuyOGcqMf8n3iPYzxePerh9x+74gHD9tJArFWDFLhCr4c6NIMOKU6kAo07OqBqtYcZT9VDvRauv18sqA4097Ssbmw9/l3qEsDO2Xp4q8kwApJUpyvZw80v16+3GDjLOUlGGGZwztxLrZ/UadIMi/1668NYp2/UQSWpci4osFLU1YndHchVYRLFhTWUwbwfE5eGeSuNa3YbMru7FAMwC/AXWHt0n3WWJtJFaUSfD8hThPuuL/OE4fqdrKAtMFlIExpcmw5sBJrAiux9oyVbDpy7Vi4GlS1uGtl08o5KqnHOPK5es+IV9xkWXyYWhYfi4CRBi8VReCXZnahBVQhUewbKK/U5eVeSTDKII1AGWz20wiEERgB0ohCqpSCyoK93feqyxd+aa77OnkQe5bWanGxHtjWw6Sw5LZxxlCv25jBm2raRt4kTokip6mehcFF9f+K/1+jpzJLSORSpZAm2VJVdUyqe8RM1J8I8r138t2Ls+bbSsNDsXWJUhPgLg3Fz90TlaK8EsCdRAm8mINnBR++pcU49qHhO3lC3pqmyrsEl52TSlT9DN+LqQK9LFPKmwNos54W92iGku9944DP3tVk/2l78aVaMUiVrTJMXfIHYfV3Kgq3orSSZBVHZYBLU2hx6TS61AYj7XdkpLAA16VYKWNyXY6l1lnZSoAue/RlEqwA/BsMPLN/yxjojzyi1LeS6/d+9zc2Nerefz118uQVlhllzqLrHnK918pFUaUjczukcDUk1UNlS58U+S5t0o0HzoE7cWQjE8oed37vFbrbOihVcJf36imKqdzuD16cNzP4XkQqIz70mQZ/dus0hCGoGkp5NJShrowbR0He4OyXWuOKTGo5ESUpJsNSCVCLWKKwHbOLVkhc42/RC6mkQRjNjs0RpxclDz0RkAg7eUALhRC2lHa9uKcKGJGv+qL83JREjQN7cTEUNUlliZVLrVLV37pH+b8puUn5FGKq90WmsiShKvmDUj7B1bVHMezYfcPmS658yRe9c2dOTyfj4ZusFlV8vfEl6wYA+fJS0lJlC6j0uEgAlN2TiRqUMmtX6sBNRXvLHAyFJFEl7a3ynR5KG1EpMyFJskrBjL1jfC/mwBnJR7/UcPNXLHvnnfvZ3xdUxgvL0ucuB5qi/CQH0AQ4dLk2pJgraAPPYnqvThWpclo89fjO1wz41B0N9p7yQUYYIRmlPh6uXiQ716n7UtMs8ZNBtSSdjH1usLOxsvcmHSakAWmsbMl0tzT2bxjt/HHtAtTK6lxl83WlSem1Ms7WXpTPfMtWvVEvZmGp96bUnJr20iQCkxAGdmJs4vadMOugXEyge62lMwlwkS87FdusLEvKOlZWH5cBbrtIMv1depwBOat2yzR4Cdx2Iqt299YOVEqjMr9bJSiZoJw8SVXCZ+5usvdgob2lkNb7zjtoWPcLFEw+L0u5nBRLj6sNyBVPvDSRytPC1qbIIoUfxR5XXjLmLS/tc/ijIVGqQHikwmMoBF7q7LuMfMgcFUGZj/MQ2NGjMQKV131YaWKMcVo8KwkxRYpfgJYW+DqTKSUfvAz2MpDXgL1Mlmskb5VVJ18qJoXBaGwYDmPCcIw3O61JYrtXS5zY2SMGgyn5t4YCwGtY+xmutKodNPkB1yYC1m9uqLJ29jxj7QzsGXPnQFdlJi90t8qCyGyLE6nxZDE0X6kU3485clbxu59sM5I+2QStomverSDlGuiynqzYAc/ONsW4PudmGKjMVNdlDS4q9Smp9khSnzBN+PG39/nrOxocPuOBikF7xMJnKAQqLRwNWQ42J0CeefMG8LILzr0mjU3PG4xj7cwT1xU2N+7vaCkQplg91poJDvglsJbB/mxlHpP4K7NGRhJxaugNE2SQ4B0/l7C0GNPpxYRhULHz1rK1WHtFlVlKlK/EaiInf+zqXNZjwDKwxQRrZ4mUKrh1IVFklcG9ir/twFzxu0uHtCzuexHdSPOHn25z+kIIynPWoHTyxFR87/xx+bNXWKqa6FoX6JSkSt54UO7RzFL4Mj/yZgipSBOPbfNjfvitPX71wwGd2AYExkjGWlnbMM3eh4FUUCjsAuTF/9ufKHcVuvlNxb0sHB8pTcHgpvTdOcvQ5Az+DAFnCbw6w1UZQ5PAngT5OqwuBEw34aLNKbOzCV6/L+gPBeNIEwRFieoaIJf87fKVlr2ev7n8saguRTjQToBhkrkzYBesXUxpzdnb1c8UgC4xuacdo+tcmlg5oktSJWPsJL/3VIwXxnzisyEf+Ks2Y+1beSJULk/ypuIJS6yiu3NJNsECz8DiBfuUMpo56LOUvUFrXWzulSd/7FbgNS/hR9/Z58DxgA9+xmpxUKRCMtI24JQpOYMXBVjZl1Vkrst2pQV1IVmMcWwuisDOko4tdTWVxI+VMXldusODLpNcBTOiih9KQF9nUVwDfJPZhBCGgkYtoFEP8Zp1yXhopzvZ2o4S21b+1Yma5onlZNL3XmsFra1NWFuYYyYkiikFmW6L7vKWgarsOuiSVMnAXGJyWVQH5ro7v7ezBpdX4K+/1GBlnIHbAtyXVnt7oipPKqtOZpet94WUTlxZa2cgrzoDZXlCsfWinqgTlxKlFVp7JKnHVJDy9tcO+NTdDZZ6CmQMWhFj9fhkdeFENPWMTG7zQEVSKKtPyYJN41g8B7TzybVhgrHt94kQluFxUgaKC24dLFXkyiT2JnCYtXSMI0FvKPH6Ci9w87DroYfvybUSsvy8rLcnrrQcwGXQy7VgXxOQlduecsCURkRIU9HehZW2NqjMhtMU4E4rAWYWZGb73Hgl9vYbCZ/9So37n6ijS9rbNjVk8qRab5K3ZpXYu+z5l63w9UncsWduoRUSZbIZojwiITXSbjzgfPEk9fF0wouuifj2Fw74088FoCIQEiMEY+2hhLBbkGSBpihAPSlXMpPBGGvXZsyuZCGjjCwVikk746XC3MZe8KaEAZ2RWMbWJvtZYWk+I3OLtbibZPMUVz6gDaMIohi8VkMSjyWNmi09pcQuz3i1lMFdYfHq40lg5xeBNIVUmWBsISbYW1SBXbgo7rkyeG7EmJTOMZHG6eqSJMkcE1mSKNK6J6Efc/iE5MOfbXGuF9j9rqUd9K4ExY4NE/HCGt1d9p3XYe/JWyXRU2L2NVstZlswVrru7f459t5uf7KpmfJ9397n7idCDp+XIGJAoZGMhCxtIgXlMlpRuQrLrYru//Nspvseymwu7OMMzJlsKbrCSquGW+V09jjrzRTFY8qPy2wO5KMnnkFVZEJrPNb0B5qgpvGygZP10C0tbkbGelyz1jlZC+js52VAIygtkVXdnS1d+YnP66tLzK0ywE+APJ+RPfk4zbV3xuJeNg5YJSiZ4jlbMAhixqnm9z/W5q6H67a3TXpWe0tpu3ZEMX8lf6/ZylK+mNdh8vL5q34Z5GRS8cNL4KmWz5bLaG27mc4clVSTSA+VeLzi+RE/8u4uv/T7AeNE2gyUliTOVZFalN6bBXklc21sSxql92efi1Js4LrrDRhpXIAp8gsgDzrzi95U6lWEY+9yQDkpZdcj00mXrmK4ulUnNa5UNk6J4xSvVdfEY00tNESJ/UWhSv/ts0iWypJSfqMVNjdrit8LFiwP9lmHvUv7z8v15Ik0ebe33TZblyRKaexvprvdjOs8uJQJfpDw5Qd9PnVXg3HkQ93LtXfO3nlgS+VYz9uvnB+ygHN9+i4XNhVTVcvgBqOyKsNqrXiqJVJbqZIBPUk86o2Et79iyG13Dbn9QWVtQyQISSw8htkqmjOgqYDF7jZT1eTGsWNelyLd+5Sg3OfLnhsnTTKgZ9+vEQKdbz/oAs+sb3QCP6b0GpgJFp/A4wSDp6lhFGkGQ01tZPAWuhGdXsIoMhWgTrL1N8rcBfDNOoBey+KirLfL3rIsORaZ/s33U7fPc+2dT0ItgO2pCaCrAtyeA3fgx6z2DZ+9u8H+szUrTYQtiRWZ9haUJkiZNeDOP1v++UUJ6M+iT7IvxVjWzCy5yRR2Du41w4GKGhUpFVKnSO0Rjz0u2xzz7S/rc//egE7k0q/a6vEIRbYPhN0zYbKlrWAyg03u5BektCJAuZa2gs0zqeISPsLVkOdAF/n3rimdP1Mw/CTQqwGnmcBhKX6YALwQdivI2emE+dkI7/BJRa8jWFg2zE4XQy6fzYtcLxgoD9Fc3xO2JwLKFls1WVIEmAWwC3BnPngRXMp8MLupMHYloMwSOWUXRdpOeU3K//xcnQ98soURnvW9K+xNob3lOu+79BmrhCDWrHjrsXelko9J/V0MPp1sZct2mtZao1OJltYXV1ITpz5SaX70bQMOnfH5wKc84qQAuUYwFhKls0ESmVYogTwHtdMV2EUgh79wKf2MzXGZTWH/TeNWZ5MDPcv8uhyqKGlvUQS9RWxQOo8TW4cLp/mz38nOYfbfKyXYMOOza6vP5k0e3rYNimXpsXpe5v9RFjlXGbnK2lQCgWcCdjXLV2HwclBZei3zuDNmL2biOe97wjGRGbjVhDyZ2LNeub1nrAaP8YOYQ+ckn7qjSb/vQ12tZe+85ru0uogiwVORZBOP4esneQoGL4EeSlpcVNwT45oOcqDL0ma80mpxKT3iOKXVTHjbKwfc8tU6h866pIIdUE0qBEO71tj3qB24TQF2k4PauSW45E++4GROSpa6t+ytMhCWZGgZ6Bmw5cQqn587ybrMXQb52nuXOZWWWqJYcHbRJ9IhXhAEBIFPEBRzRCY1dcHeZu0fmAT3em86A3G+OpQZ0FTkichn3xXuSQ7ujLlFeTB75pzoynYbsiRLpHSOiWNyz0sYx5rb7mvypUfqdji49C3AJ9g7K/JSQlAJhvOltpp+zhAuvh6yq4ReBXq5Sk677GHmpLitSKzu1oVM0ZJUSFQq0UIRjz1ee33Ea1805OTnfcba6nBXCUWCx0iA1KVtq4TIDezMkVA5vDJHxdWKC3LgGyEKsjf2OzXCBZ4VoBcZVZ0ne4pZOUJgy3pF9n7K8Zxwi4zJZ2bm4Ha4zGppRGrwpEcQBHjbtu9YxUS3TLeDfypIK/ZNZYVdo40mQW7WgLpcJ13V3xmYKS1fGehLjJ0DOwN6UTZadU6q+lvl6fe09DhBStupI4OEOx8M+LU/mSI1XuGcSIUQ0u4DJIq0fJXBy47P+uxdAfezAX0i2TOZsi/LFU029coVY4nCUck1ubTeuNAeSaIJgpSf+/4u+0953PmARAfCQdZ+gFgrhpQFlSnJknU0ee6Fu9U2e78uoMx0uHAXgKYYJWHKeIDCJ1/TBFHqui8lfCqNEBUZWMVqkqT4viKoNW/Zum37qnrFTdv60WDhcOCbH8HE+cyLNVmodYqghFyrTyvJGbW2YKpcJFWk3jM7sEjFq8nqwFJAmRdUPQO4y1LFqyR0bK/lqWXBr314irsfaVqPVAauJNbHk4K6hFDiNrkya2u3K4drgM6H5FSHEWU171JNNEyXzlvxXJQuerP2vGZkUJoDKCalXvlnBjbMJYSe4f7HA1aHpQDLhZnZFPGi4tCxYgX438jVWroQssulJL0cFItOptLvVsdzQ2V6Veniz3Z8mPy3y5WEcaIRyufk6Qvf98BDT+73wiDFznXW6NTaLFqXZ5GSX0X51VQJQE2FzctMXbB3aZRXWZqIsotS3hajKk3kOpo722Fg3UOVA0tXCusep0HKhz89xd98pYmpKRDKolN4CCkr/ZZFf+OzdMyX2aeSFaviovxy/oVVibyQKVAJNKvzC12Q6eYHGsfcxuiiRkVIpFakwkMOU97+qiFPH/F53x95RGFSAFwIjPYZ47qrsvx6ak1sgylA6RjU4LKb2uRYzIPNjJGxbG7twWJByL5/W50qqit8muFH5DIkf5tmLbvnmCwBXjuAG6FJtcYYgzfXjpFSMBqnJIlm7ObXTa6yxT9a1UaFTJkch1wGuZmQKGXnxDA5grcC9szvFg7gJe1dYXCZlpyUMrhTZKn25PYHQv7k801GqZuCLzJr0GUthalo73VT82Wgly/6ifNS1eHrs1+2m0HmPa/JaGLWlNAaWcpsypKzIpQtzJKuOEtqUu0R+prvf3Ofex8LuP0Raxdm3jhSoI3HWNt2tLyIZNI6dEjNpZQQKDJpUgJ51vRQ0tzZ72SgFRKkMRWSMO58mTKIRTkznOX1KaX4i3NqAW6IYsMwwX4WDN6TJyM0gpoyNFw2KmPiAtwTnqMoXs+uMjnB5hUNnqXm13NOMoCX7cEyuEWxs5dao8N11QOfZG+ZFgGmFzMYw6/88RRHTocYr9gtuaK9M4lUAfYEoFkHzDmEJ4KXZxHkk6M5qhnNcvFVWY+vrU3R0lUcyjKLK0SqEcJDRpqLt8X84g92uPdnQnoj92G0zN9Xiscoy7Bkxd26ALmRgHagNuQOi3IBpZG4riQHZleTUiR5SjmD7HfKpOdYs5ooNHnx2mSTck622VnNLhwp2TgfMd1OSFKDd2phKxpJKIbM1VZo1G2qdj03JPO7C0AXr61nD5abAcozowuJUhq9u65E0SUfvNSX6Ng8Z+6Ka1Landd53p4Xk6Tw259o8ci+mvW8ZcbchXPii6osUaLK2vnqsw5zu8iJ8tDN9fh6DZNPOCdFAwRFMZOxxUxrqg2FZfA86NTSgjyVaOGO1EkVrbnhipif+I4O//1j00SpY3HIo8IUxVhnWtzl2ksgzyWKKGU5RblJhhzsQhfMLWXmchSyZfKcmlyWiDwJRInZhTCQLy7V38m+DyUFM23JjVfNcdG2hp1s9UPf8+3U600OHXqa++/5AvZaKgKcZ0riVKNd+3HLhTxrRwVMOihVQBeANxMypbo/Y8HeaaHLy0mdyuECy1rKF+8L+eAnWnSGvvUAneeNa9K1zkmRtSyX8qrK+16rv3NmqYRlIn8uJgE9wdpr8F4BuqGcACpY202FzSRJOQkkrI2YSoU02tarJIp2TfND7xzw0FMht31NQSNxTO3eoRQkWjIiiykKkBtsaSy5bWk9bxer2rLeTMLoTG4U8iVbvQ0gTdVazacRSxCmjDVRKIbsKFmFGdgRNghHQJombNn+Qq687hr6/T5eGPqEoU8YKNvi5aZDVVqxylfRBKjLupsJrT0J7ILVTUnTTsiSkiQpZEqxw64FeFr1u6W1AmW+r7oNLKVMkF7CvmMev/vxNoeWAmf0W9a297Jg71LDcwXk68mTijSZmNa0Vo1UVcoad6HM4kViJW+EYL00/sSQoKwQy+h8U1mRSRVhENJDxoY9swk//q4ex855HDwtMF5ZYAmQPqkDORMgzwSwyqWX87vBsbjIA82MHHMWn5AuFi7lOTkg0sn4ppAgwlQlSq4oRDbbRZCmhlRrNALhVmYvs7s8ZagFdvvqjFUrLE0V1NUrq7yzwFpJUpYrxU4AZf+7uomRcjKkYPKS7lbaPZ9M5hRAVypFyoQgTDjXEfzKH7X51JcbGF8V6Xh3AtZjb1W6ANc6J9UTPJnUKTN6ocOrgK+w9gTYs9fW1qSUdXgG6HIAmnX+SFfUlD12wWeqSdD40roqnbHkZ9+vOL8qICzTrcDg5UxeyBN3oWX3jrWVBKOdfMndFOGCzCqTC2ndElNqcDFlWeIY2ggmiHUSdxPzxQW5hNOpJnX9bwaB9H1JEIbn6qG4devmKWp+TOC7bvTSvI7iKFLq5bS5XOd5/poqNg6V5Z8LXfl3Kg6JKqzBvO4kqxic8LxlFkyqxD22tSYRms/cU+eLDzRcrUlmCUrH4Bl7F7sGl+cNltlkTVlsSftVVrUJ5s7BP6lFJuTK2tkhbndfXQZ5wdxZp0+mx1OdJX5KqX0j0Ua51+zjJPEQRvL6F454y0sGBCKBJAGdHTGYBGMMiYGRhrEWRBpiLUgMJPmQfkjcLJJEW3ex2IrQ7VbhguLU2Xj5vYY0zXa2MO4o79tZ/Hvl17VraEhLR5LaDbj6w5RaY4YkFbcGfngOJHLLtks4feT2Y7Vg8D+2bp0jDCICz+RdMcWIhuoOtzKfJqUnwF8GtnYbleriIsi3ha4mayqFU5UhN4VLIku/K/PqwLTinEhX550IzafvqPO+P25zatGHQFnmLgWWwoE7z1pOVDRW4ojK7BNRAXCRFxAVUJcJPH9k1sX4xIuiBHaxRpLkgM8mYGlZaoyQGF3UqNgUv+380altcYvHih1zmp/9wS5vfdUAXzhwmxLQTYLR2oLcQGQsyBMH5kQLElMAPa08LoM92z2uAGs6AeB0Arg5GztgFz8vgG5KF0KSQpxAt58wO7eJpdXx//joX99+7KorL7V79Og0xs4NTAiDBG184sQugZXe1MqyoStWYf64lHYvKsVMVaKsF1iKiT3QM5miCtdElqRIBm5ZCigzS9D3U44uSj74ySb7D4fQUjmobWLHau9MmuR9lkx69KzfMV8KNrNwrMj+TTB35XnhoqyX7LGsrScSPoWLIvPMXTV9L4UFuRQm98ZFxuyunkAIbadeGeuNx2PDFXtivv/tPR54IuDYQmmpyoNOK0MSBCNhg0vcCDejy3UohS7Pa1Sqqsem66X9mTDFypjLGKuIS69VqwwzB6UILotzpw2kqWEcG0ZRyjiKGUcx4Dah2rD5KpTXwPfGxP19dPoagcoDhYKpysVWk+7IhGNCFehZcJnp8cre5qXtoTNgizy41BRuSlY4VZIl+WuWvT2VstwT/OaftbnjkVpRJZhlLB24lcTtUFweg1xcrKoE5vVswfWAP2mBf6O3cnd9paqwkop2aW1tAaXdbEAjSuAvZTqlMGhhENqeZy2UfS6UvYyEJh1oXnX9mH/5ni7/+Y+nWRlmwHaI08KB3CORIndQMpCjLZDJAO/IInuP+Z5XWYmLuyCEuwjKHT5m4hznwafJ4rtCe0/WRYFl8WHqc9Hui3jJTdfS7Q0KgLemN9Nobbvto39766+ZwdTPbp9NrUCfCBSrjF0kcYo3VvysALxZG2Cu8zx3TkTB5jlrZwBXqftZye92afiMvUfS8PufbPFHn2jRS32XrVQV18TO7iuck0pRVfZZMjYXVTcpZ+p1wWwQQhZPvwGkT3bXl12UNbUcJbuwvHGrLI18y5hbS4HQ0p5fYzVu6mIPITSpVpAYWn7Mj7yzx/klxW/9WZthFjXrjM2pgNzkAZz9fMYFmZ5DodFurIT73TzZQ2EfZsmfzE2RJfZ23kbFKzc5e5cLq6pjSXwPXna9zyVbzv3aC66/4rbDx85kixA029t533/9r4PO0vhoErfo9m1gQomFJz3qLHAs12xn87ILx6McYK71t2Wltaxg7LIulxlDV8Bt/9syc0uZgK95+rDPX9zWoBu7yZhkwPbyAFPgpEl+mIr2ViVAP1P2MlvV1mTfSsxS0d7PBnKnzcsjJHL9TXUvy+IiKDUll/X3ms6fcuCprD7XCm0URiuSWNHyDN/9+j5XXjpGpmU9npbuU4y2gefYYINOI4g1JCbT5S7gXBNsskaD60l9bnhG3V0JNE2WMS2ao6WEVh2m6k26S+Ojv/87vza4ZPe2gsEB3vWON+MHNQ48fQ+njj5kJUpem73W9qtsJjTB6lLqNVnLaqLH5LKkbA8WOlyXWL0EdlHKUk6k4j0/5fEjPj/xqzM8cTDE+LKQJTmDy5ItaPJBPpM7NaxnDa4nUyqJHUHpWbF2fkNyxVQfVn3xSbvQWmK23sMCV5pCsmhhp/pqIy0rGoM20v2OnZAltPXGU4y1giPDdZfE/M7PrvIj/0XwxCEXnMjszYhiOcmYHAu6oGQf6qylzUmUbFW0/nhRx5L9s5kWL2pWTFVnu/NQYfGyRMSOp8BAFCVs3HIJL33lKxgMh8DPVQE+NT1DENSp1WquE0ZULL9iiZ6QKPnjwteevAiK5I6pPl4H6HJClmRBpci8b1UAW7qEjudrekbye59s8ujekFSVWFsU9SZQsgUroK46JxkrT84dXDMWogL2gtWfpfxkXXlSwXgpi0mJpSop/ZzZzRrJIh17Z5sJmCyzKVwIK6T7vqTV49qQovGE4YYrx/xvb+vzc//dp5cI8CEvIsmaKRGgFakQRFkbmxY2k+PuDbYZOUvo57JGkPvjeZBZkihZ72ZGJoU0qcoXRPG2rCy0HT21Wo25uVnCfpif1xzgUvpIFR6q1+uHp6Zqe5QYVjOaGbjzpdg8I0vnTJ6/NsnUkyB3kkbo/LENOtMS4FNXj5JaJhcJSqR4fspAwwc/1eTjX2wyzsA8wdwIabWaKG+5t84+O2X2nmTsUnBTTeZkcq4MXzFx/3XJu+SkOGBARYdryEcZV73xAvAW3DJndWGsFtdSI4y0OtYY+1i7oNPYMulAGN712gF7j3t88JMt+jH2hDkdnt87CKdaFoGkS9XbGhkLZCWyWpUC1JNJoHJtigV6tQuoDO6soDA791rYVSRJUmamWtTrjcP1WngojuP8nOYR0Yb5rSycuvPWDbO1j2zZNE09GBP6qR0iXxq8Xi5hzRm+zMB5/XbWiFBK5EyUwRY6PJ3wwnUV3KXCKiky9k5RXkIvgj/6myb/5Y/aXFjy89rucq2JPUSJvc2abOWamS3l8l8mwF5+PsHalZ+JZwd3hupyoVX+WuWpcIxeriic8MezxA+ln2tRcVaqulxVtiq0I+AUm+c0v/CDHX7gbT1aYWKzMSYt6XGbCMKkYDRaWz0+0hBpp8lLfnlqnEY3ovDHjdtgy1STOZN+d5Ysquh3p9MTDXEK4wS6A02zvQEvbH7kE5+569YdO7atZXCAMFBIVftcuxm/VaTm+iRJXAd3lWmKbUgKO7AsS8op+EK+FKwtJtwSOcHcUkwEmJktKErlrypF1gx/87kG7/3DNueWXTJnDXtXM5Z289bqAPuK550BepK5Sz53JR1f4mkx+eLf8VbOaBbgF/kL66furXNhp0oJu422KIAtTOGJC5GxNu4+kyuWxdEecWTYMpPyCz/UZakr+chnW1BzS8caJrc3jSTGBn+BKBVduUxsxuA49tbCTW9wbF0UYZXsQre3jy2FEXlJTDn7ay8KgyZgkKhHa/X652I9qpxTWX6ybc+bWT796buNHj4Y+BD4MZ6nc22aW2kTxVCFs+JYXli5MWn3rdcYXAW3A7IqsfQ64JYyRYWaQ6c8/vSzTc4uBAW4xcQh7bxFTxTOiecSE5OdOuVG6BzMVGVJkRcQFQclR3n5/uuA+Vl/XvK+K9t1lC+E/L7IalZdlWJgkE3bl9P5VRZPSw5LEkm2bEh5z7cN2LMjgsixeJbpNGnhtDgmz1L71mFxKf38EI7J7WNtJlP7onBbSm5KWnZUyj8zRZnAMLa17L1B9OAf/NkX7/4X3/mGZwY4QGtmB62Zi9i4IaHVGBUZy4ypy1KkVM6qZPV5RYaUy1yFrv5eeQJVdogiuKyC23XFB5rDZzz+z9+Z5ssP1WwDZcXrLnvf1vPOxkB4cq3WXm+YT+V3SuN+n6mSMNMolQtj8vfF+i5JdlVU5qSYyfvCMiwDuZidUv1ZuSjLYJd6k6X0M2mSSxeb3k+NTeVrrdAjwWteMOKXf6LDxdsiqwdMWa6kpbR+mgfEGchHWjBeT7KU7MQyqFOzjm04YQ9mj7PzpA2sDjVj43HFpdu5bM/2NUThTb4Qzn07SnnR5z6/RN0cYfOsX4Ab8lpx4YBa2IRrA8uKc8I6AabUJRfFMbiwrxXgLqSKlAnK1xy74PEff2+Kj9/WIBLZrItyf2UBboll76LOe53tt4VZI0lYB5xMALfC6F+PuMs/XK8exRTOwZpi8Sz5kzsq1Tpxe7EYl0HMMptFI4TUFuRaFMkfaytKlxUtothMsiTaUPMS3v26AamG//DbUxy/4JwVcBPrWUeyuIvJBY+43k5N4axkXUF5J740eXLHWojCyZVSIigjGHcuJXbax/MuTnnL62b5J9/2+ihNE37rP38dgBu1idkNUz/TmrrxqtWz41c1w1UaNVtdmOvoElCf2RIseeFSV7R41R50oBbGgTgrh7XWYCUN76UcX/D5ud+a4hO3N4ik23pNrHeUM5al4fXu5KwrTYBKsFlC7qT/XQH1JG3/PW6TuK5kNCcZ3WSMb3IJIybYO3tNlLR4Zh8WIHfjYF1HqHbgzhqKkwR8L+W732gdtZ//rWmOXwhwc5irF6E2Vji7bLFGEGFZ+Ol/GgAAKmtJREFU15cCv/JZbP2Myl5z9TTZ5y20eAF0KYq/mW0hGSrDrk3TXHfZtV/ZuWPnz2BW15zXNRJl8/w0Tz96e/eynbX9m+ZkWmTtsmE8mX6ekCElsBY/1y7pU6pCFLqkt6sFVGUdLioyJUGqlDPLil/47Sk+cds64F5jC9qT5stql8567J2BubxvEExKkQn/e11yNlXQ/x3QPRlgTvrixYsCnf+uBW8mdzTVIfpFxWGxTV8+5zDT5rrYGsXkFYjKyhStSBKJl8K7Xjfk//qJDlvm4kKilLKcxVHW5VayRM5hyV0WU3ZXJrV48fPcNTGFdMkqCV3vDd2hShe6tf2f/PStXSFnvj7AcV90mnR/otmsPW7rwYvZI+WSWVXS4uXAUYhCblTT7qYIGvPgsZAleZCZM3c2rEeT+oI//HSLj3+hQaTKgPYm7kvgFmszlpO6u6qrC4CuNx6i7H+vp6/zTKYQf1d8V7OZa5I6Vd+7nNbPLUHWMni1xLbo/LFavAB2rscdyFOj8vpxbRQ6lXip4d1vHPBDb+3jpWlhH64L8tTl0wuQj7ULQF16P9blWvIS0PP69kKbFwGpyDV8ou25qdUbjy8td39CP0PUvi7Ar3re69FpkrZnLzW+J9ymqWkx1DKvyS5qSdZzVQpJM1lbUr4gqgFkbgNmh9LgCW69u85Hb20wlspRbRnQJfamkCbFvjolQFMGetbRDZX9dsQEyEtMXdbaZUBnv7CmTPYbAXfpFysypcTqa1wTMl+ciQvATb8qA7vUHFEJPvP7zEkpAk7L4CU2TyWhNnzXGwa87iVDRKoLb9zEJVclmXBYbACqjQV1pGFsBLFj77jkrmRBaAb0ZALQiWu6iBOIUwFC8bxrLjFxnKTvfNsb1z2/3jOd+EuufAk6GX70lH70ch13mnmg6LRSITcnA82qPs+0eMHsBegLuZKW5EzJOfE0woO/vavGz/zWNE8fCV3D8DrALgeWIstWTgaW1UROdRyEYTKDmYG4Ur45oVsqqfsJUH9dcE+kMdfKk5IHTjmwnPDEsw72SoOyqdzrih4HtPPAsbsKC7KAU9pgUxi0VjbwFSCMwaRw7Z6Y//vfdPh3Cj57V8Pq8Wwqp3baQZjSY+VOkN08JcZKKRvTCjyykcwu4AS3uaw9t9o1KBcMbZBCME5g69aN/Ve94uaPtpq1ZzzH8pl+0J7eYVYX7v/NxuzFi4HfpR6OCYLY7gpcliIlrS1LFmD1SNdo7klwC5Hm4FbCDvERHvzNnXV+7n9M8fRRB+41XndVmgjpgkpKOzNk+ptJUD+L3FjPVWHtsS5bT7Dx+uh+ltcnalQyp6T8fFKvV1L2sEZ75754WY+XtbeTLhX7MPu588m1VuhIctWumF/7yQ7/5BUDS6taryNRnkm2GFINkSlLFpEzedYdlHcLmYy5YZwKBolkJZIsxZqbXnjp4h33P/Gbl+ze/oyn+hkZHODM8HmQLlNLvsh0a0CceiSJInX7bkHJPqwwdskSxOSBpig1MOQ6PWdtnYNbKg0e/M1ddf79b0/x5OFnArf8/7X35VF2VXW6397nnDvWvbfGVCWpJJVUpTIQSSQYAiYERfEpSENL4/BEetGOOLZj0zyVh09bn+1zaqVlPWyEtlsEeSIPRBEFQhtkCIKBDCSEVOaqVFJDqu69596z9/vj7PGcU5XKRMB+e6277pnvcL79O9/+fsPWllxYWk9Rk3jxHpmFYxXQPBLYTcxGJMSE4EED7VPn4Txye5S1NvbruJTQqitPoWXNuVZUSJI1l1GGzPZyimImRHwI4aH3GiJZIqzjp6Nk4ANL5tbwlQ+PgHPgnqglT2wM5kGMEVWxIiCABzFukJlV4hOJ8R/4HBgPCGo14LQeD297SyemtxXx0Uk+lU72lQbHZ1cB94MtrT1jjI/DcypwnUA5f0xnj8mvVchrxOVueSvFywQ3JQEIDTn3vb/P4prvFvHs9lQyuBGx3jQaayITGIyYE9jWO0ZJrAFjBMxRsMNOfJA9wF49MsStYpKwDXvUbQ+Z1QN7LkszfxM8yrcR4eImV4+oK5F5ONU8QJyCi7xOackDn+BVc2v42kdH8ObXjod8fEJLXk+05KpgphiE+hyKm5teS6kQVQICn/mg5DC6Z3SNsYB+sLnUXJ3s/53Ugp+/7CBLZXsf39lHR75x4+b8os4K3rwi/NFR+VBp2ZJ/yxgTpXEzdZymJUxZdYcEIA4DdwjuezSDz3y7iI3bJ3PB2+CmRDt0TDkwHudtW+9ERw8k2EkE7MSy8hLKCvAT8ZbItggLMXYQZa6jobT2oNPg42ZnYMYlRB4nUVbetOIAkTUOBRcPhWgq6HMoRBM5fYPg5BRygrLQXUP8Ok7rquHrHxsB5wT3r8sgAGyzKWstS/MuqwApMV2oO9Dc3EGom4Poo1wCuOB4x6pBvHpeDavXrBrJ53sf37h1hGGSNinAnVQHgPSBTS+6l7W1vuXB/oHfe4dGakh5dRUBqECrci41D5frGtga7IqaGDIhdwh++0Qan/xfRWzuk+AWDywSHVxKzqEzdMw4b3tOyziAlWMHcUtugzy+TWE3cpy5/Wgbj7xMfJi5moD9riw5MTsAt50/RFt8Jgrey8Rk27UPi64wAW7QMLcTVFAHkYrGmAP4DIvn1PDNvx3GR+rAg0+YIOfhAncSfqnuKHIe70B8XAhKogb+lIaTgRXTHK1eA9acuaI2p51d1jajcKBWS036v05KUVw3g127dmHZ4nm7/+L8xS+csagZlWooJ8l7rb2TZuSfrYPHqIqy4oKmOAzcJbj/sTQ++vUStuxIQZWZIhMMKiHBDpuaIJqdY3ovk6z3RJQlXnYtEdAm8KM9QB9yRHAnue+VxxJRvi31cFMjl7q3PNaWDLnkuOocM5ZFDiglXaERCiPrq0S0cyEfcp+gd3YN//TpYZy/ogInCESElBm7YsqKRiyL4Rgy41lqQjqUT7IwSTzA3oOtqJClL+SKvbt379qFVCoz6X87KcABwHMp6iO/3dHSePh9CxbMgetUldvd0rKNmG5KQy6tlZYIoMXLIQxOioO7BA88nsYnvlHClp0p8ETOHbHi1Aa3Q5LreR8x7cxMvYtgNHGwGbHkNni5dZy0Q5MCOwnchpEzKYj+BK6BzyI0RYJbdhLYFWkVF1cgN4Ct1BOiODjnRhy5ALkN+NApxKsEvbNq+NYnh/G6FRXQIBABWkyDGUmqSmSdhRlANaYjEyUPH6sEmD23F7sPVN/3w5+u3RHiYvLmHumAjukzUa8dhuPm9/bDXTs6+NxqQgb1bMFO3VJGSFQ5AbdATkxPZ5qjb9DFuj+mcN0PCtiyIwWemkTjllab6kAqRU2AWHbOhDQFMuabJwDe7gQKxYY308zohnmIWJBuZMv6H+F/Vpjm+kLc4ONKEo9wcJAITeE8wsWhtO8Q1Fy78Knk7gQyZpRQbd0h4ss5pYJ7MxBHqy4INwEQxqPGsHBODd/55DC+eCPDH55Ko28QgGQRDIJ/w9jg6F/PGeQ8QpxQ+Dz8jk4AuAgwe1oJr33NwrWXvPmcvaNjZRQbckcE+BEtOAC4XgP6dz+6lXqN32madhpSbhlpz0fK8+G5dXjK82hKf6ZiYigngnc7aY4tezxc//0CPvb1Ejb3HQHcpiwoBnSOAjY3Sj7YZY/N4CoJyqmoJzFrnxhnQiyVJWbWo9uTgB119hiAN98R3R7hzhZVAWw1Rc7tA1hc27Tc0lorasIiFbKMWBUZp8ImsOQLZtfw3c8M4/MfHsH8mTWgmmCtWZIFl7SlBjAfYDXUgwCjdeDgOMNZZy5GW3PhO/f+5rGtUwE3MAULLltTSycct/HxjDv481p60yVp/kcQQsNCh+IGhgaFAIRZljscZAp6Ag6aAbbucXH9DQX87P4sKgEF0kcCt1lXMOz31jTbJCFaEHGVZKJtdvirBqranOCD19SF4Igm+ihaDNQxzyTkNDZ2kBaRwBaRgZb1l9uNwadQTAj09RknYQFtkdMpUnHEOSHwVVq8GSZrzHlD6wztzQHefeE40imO//69IrbtAZA2RstEfXtYspFMoZdPJwbUasCZK3rx6mULf75kUffj+wdHpvxfThngqews1MrbdjS0nvfx7931iDM+Unzrf71gADPaOPxy6ADikINPragQpZ4EIdA9YNtuD9f9cwE/+00OFZCjBreUBMMBpRFbQg06ggjdkO8UFq+O8m85h2NSgnGMk0cpCjEAP1Ukxw4NObZllQ0wR9+5dHErMHNFOxQFkddiEHPLC8oiQS2DsZWTSMansNCFT7ULn1IpFRrf3QS5iA/nFYa0y3HZ+WWAA9fdUMQLe70QccT8A4wXIaKjiMqclQDtLT7e+y6GlWf6d/cuPevjL+zb03fGgnhiw3EDHAC8bDfue/CBvgULXr9h43MDb731V4eQSbu4bHUVbcVw4Mw50dZb6dxBqIungRf3uvjiDQXc8ZscqqChWpIIbqpfVKOSEthTbMO23maOpYpHj4BTTvIij0NsfxzcMVpiQjJKto/SmkvuHePhxrvlEFIWmFv7uWmxTW+ouE5Y5VifK0NtidEZwoJPNHS4ieQJIsAeojt8s6IZhYSoQA5xaD1A1mW4/A1lgACf/24RO/a5QEp20UgVMNmTWYCOpjIuP3cEnNcwb/bpWLH03A1+7f6+BQuSg6pOCMAB4LWvngXHm/+1FQvXzbvqi+W3P/IfZZy9cCemlYKwl0MHWpng9jnF+qc93HBHHrf/JgdfAZdODGx5jIEaBzLOJF5TMFrTO5aKBg3iWNy3uWyA3LLIEesdHWia9+pomwKiZbElyg1wE0NClDxcFtUxY1Q41/PHA7qwpQAm4wSOchbJ5GWEJdeMGisc4cSzFDzsMMTg7UKxAaj6nCjIg3qAtMPx9jeUAQZ8/448ntqUQlXRG/EbjQER4QydbTV89kofz74wHfc8s/S2q6av+dqGLduP+n+d0iDTbIVSL7LZHwwXW9uuKo/NeqSjvQW1ehGVag5B4Kq7QwQtoQ5HGQQ335PDJZ9uxm2/ycGnFHadbh0JaMWXUFMetBOH5awCVm0T2KoIlZGOZigsEgr4S2ASWx2Z0PkTGUQmAdpKRp4KuiMHmxabW+t27qY+gVhPANOiq+uYdMUcZJrSogqflVKh7DSGZGi48E2XvvaUOmowypmDoE7gBSHIf/GPh3DlhWPIUyO3U/kwKUA8EC+HOpqwZ08XZjR3PfLMrvlXfej6O4dftWDeUQP8qC14ePM+iMeffHr8uo8u89etvQuUDeNweQSZVFnEl4SOHzfFcTgg+NFdefy3GwsYGnWFWY3q2hLcE2nf0InDgpq4huWOqiNWzIm02OYxSeCNUBETxNpqm7EmNtuWk0/F/6wJMG14HycFuUGN4pTEdtlripIQWktkGpsN8pBiAIQKPi6+CxXmXkuCofZIYdMVybmJ+Q4GJj2UImGbBwwu5Wgr1vEPV4/CcYBb7spjrCZuqnzEUA8pzwOvpHD/4y145+WX+jd/ho53da85FqgeG8ABYPHCbnDOHmtwTj+bjb6YlQMWcIiiPAxb97u466Es/uEmAW5XmlLpfp8E3ESDWw0qDYtNaTyRwZYAeYIFNrh3FOSTvCdycaJBPxmeyYR7ImBGFKTGdrke2ac6gRE9KDuCjK2WTh7CBeFJUFakK19SaZnAzCgFZSy8DtVWHtJ5JNQVhjDPU4LdiYCcUICCgLEAqHE0NwT40gdGkfE47n4wh60DKfHElnEqQB0eps1cVm5um/sYpUdNNFQ75jPz+QZk0/Tart5zvnWgOqPCmQ8QDtcN4KUCPPqchw9/pRHXfr+EwTHPHkzCmQTc8jiivmBSbDeNOHGswj2GohILhTWWTdxF6YnGdYLLPvpnJA4yp87ETf6dvBOWRg4Y4LROsyMMrXMtq23WUYHK07RCAeS1EKmOpTRzHX6r1gVdCYRGLukKV9GJLhinCOoEzbkAX/nQCL7794ewcnEl9HqykKoE9TrecO60yoVvXvUtQt1ri8XCscJ08gjeI7Xrv/QVnp21Ym3Ass7cabWzc6l+J5et4PfPufjc95rwuydyCOBCTeYeHUBaFIXGAC4tt6wn6FrueOGtjFpyAqtQkZrvXVTc0sWLNGUJl4kRL24IN9TYLqIWw85D1Hnh9UXGOgmtlZ5YSRfCNPM7Yy8ap1Xy+Hjsur4GNSMcgch2DqtofPTaiG6LRE8aclHsiSaOFwsJg2+Twpl1eHUEYcrl6JkdoLezhs07KHbt80CIhzNPm+F/6NLmr80sPf+l5mkr68eD0eMCOAD823cuCubOnPmHhuywf2ho13k3/B+Qb/ykBY9vygOeB7gyrJUkgDghcUF4KkF0nImMNdHl1uyQWBu45r4oyO3cS2ufAK9ehwJuvBNEACY6AlVgJJFjJwE4EAN7YjKGMX4AiTydDNBTsawnpY13GL3ME59selzBY/tgdC5EtiPScTS8jV4BIgbENPSdBBSz2zmWL/RRLFQxONLAFnfPv661ZdHX73+CVx+876fHhc+pP0cnaTu3/RDTmjOn3fPw7qevuOYJZ8zPhyNCIrUn6fYSH6lc7mZsSTK4ZXaOngXNrghrxZtEp+BOsN4W2M3jqLaUjrKmxO4AonM4RC/rjkH0MgmXpaUnhMAR58vrxDqTtS38vg7Vv4vGluUxunS1Q8x95oQDsuMnFEA1loksSkqZNVGvrgQsw6KN5JZIrL9KY4yEbKg4JRGoY4YIgABpl2G0XMWDz/9lsHdk0dK0e/jZ973zHceNzWMeZJptLFiMVGPheWQ6r77sra03/OTXT9FqIIVaUZGU1aGlAiPGmxqKiQFuqZhY7nfhK9VXsOO8LYdO4iPYsEayu0nrZ6zD2hfn5dG1mHiirJux3zjGVEdiKkrCvqhHM+oAIkLxUOoJMQesdlUsWzcPU8aIcPBQCuXVpAzC+SMASbReDiJ5OBOORwpKGWQdqqhTSJYWJwiEbo4wOygQZeI4cHg8hYbm1ez1K0+/+k+7Fz4/vbj3REDz2AeZZlvYuxJr16f9Sy9YfdNFK/mnLl6ZBwnqyHkuKPVghcIpSUJacQl223KbQVR20R4dS2JXqeIxACcOMCOPfwuQxvGYYJ8J6FiQVWx56o1Ptt3YaZePiG8L17W+bXpIdY0V7ayRQVnqOhOku8UKCBnbpAdUDiyteHTLIUSgs76AepBCuZpFEADP7+vEA0+1fqpx2htvWj5v1J/fc9aJgOaJseAAcO7yHgwO9gVvu+jibSO1J0aff/GBQnW8jIOVADVexlgtQJXreBKtcdvg1jEm0YlZjeCoGE+N1xbUgE5IR5NQjFh3uQ2GVY9bfNtqR/rBsbUki25sl253KOvJLdmQyGUSj2NiBHBk9SuYnkuuQ2qFx5PIzB+E12KmJSeGNZd6OUIZkVEKSpgo7UBBmXgSUIBGdE1CAjDOUA44Do+7ODhUQGNjCxaddv6on3rdtr39u4MZ7aedKFieOIADQDqdw4at9bsvet3ZH25wnW/94dGHmtub+zC9ox8335vCg+sLYF6YAa/lwUjiAgxqAq1xR613DMhIGJwlHBPvACRmkWOGOWqxzeOi9OUYEK8Yh3SnRwBIDPDrdVm7UOvexHT6SLBz4wFKDIpihdmKGoeMgFJNXwiIOpcJnkFhPCkQauGUi3k6KdPABxO5u1w4qMJe6HoBHlzv4qZ7mtHY0ITXzJ+BNWvOO9jcfuYnKBu/e7iaPZGQPLEAb2hoBQAMD4/ceuEFq9zFXfRrueDOtmmd2/HQeo6H6vmwOqmRVyktslXLhNrgVrUDYfBww3pL4EtcaSDbrvuY5JXEt8UBSfwb0fUEoMdwPQnQTfDaOyLnJfBzFbNi8nGi41diACYIJ2wiE1lxAWgVq6KfBOGDQ1yT2AAH0aED4fycLJxHllIQsLDQJzgICcJC+C7D9n0e7rq3EQuXzsSbX7dmYHb36s+NV2q3FgpTjxKcajshHDzaSqUiMin/XxafftY1g/WFA3c9kEE+y5HNi5q7keqvygVPteWecM54+UKCS96yzjxGS6KDTjkMtMBM9OAwMhJVjUAfY+HzRPAVHl+O+YAk/7b4tV7gBnG3BpvKARTn4lymhhnXYobjyCz/ZjmFmM3LZc6mLAMXyKJB3AE4xfg4weEyxyVvHMYVfzF7YPXqc64ZGfP/pVA4dmfOZO2kABwA3FQJX77xlzfd++S0z67f8uqD/2VFDY2NHIAHUBcOpchQIEs5MjScAMmNDCpN65ykmiTNxBAFcSItAbSVTqIdmLhjmG3CoaXJOY8S7REHpLKOCswGuNV2OUhU+7UnMtxuWvN4orIekMZrqkQjB2PeTtiDT7O2ShCESkk9cFAPXHDu4OBBB/f9RwHvunjWwSvehM9i9N9vam0uniwYnliKEm1fuPqv8Ktf/ugW2jPP3z9w+J+HRw4UiJuG5zjIOlxFBppNcWlo17scLJrljfXsbvql99sdAbCBHRtETkBPrGVxlRg/hz7R7BxTboob29e06EuUhhh0RM79rjkztzqCjM8PO4WOWTH5tRx8Sj7NwcWMgJrnhxYdQhIMS9qrJBzxNRk0zZFfmjAGSkN1xacMucw4Lnr9Esyaf+XAAT/940Xz555MCJ5cgAPAY5vHWGvJvW1T36L6wkXDP3p6075Ms8fhUZ2BzhHWozPvsUkxkhKG5aMncSAZfU0w2LTlEVjAn8zw2gCe2KxPBeh2fEnyOTLASR2tZBMIlcXg0aYaCw10Qow57UVHUE8FIp8Cmp8r1YUQMITnhd/FCOYyNHIg5Pj66UBFBwzndahTB4wxFJpeXXn7W9rf1zhj7nbqpI7LDT+Vdtyu+iO13913D2YufxdPNXdsakx7z7UX3IvHhwbdtEvhyoQeyKLuRN0/e9KrCWqdmLyc2np4bD+BkdIG6BiS+HYzLkS62LWHUnYW01Mp1RhiXVu57NWyfp9U8ZngKRLV8hHtsALI+lhiH2uML/R2YnV4s5qXvL7sXuY2exCuKwwL04Q6c1Cvh3HhtbqLcpUile+tpLKz393a2nhH5dCjO7LFE6N1T9ZOGgc3241feCfy5dGge8HyO1+zqP09S0+bM14NGFIOR97jcEUssix4bhoqYsqFSdb8GKy3GlyaN88CgdESeLr6buZmYu8/KurN9eFWFCAiyzAGlTyyTYayRgaeVsYOj3DxSH1DGOt6TnjNudWsbeo6Qj9HCGvTbR8EDsrVFKq+CyCAl+sZ99H9nuaurjv37WNBw4yPvBTQe2kADgBf/uw7kBp+hl93w/7bs9M63zt33qzhUg5oLXKAcozWOcYCAl9yPQFC26ljT0pkZepIC2Jyb5IAXmNfFNDRAeFE+ybKsD+axidZj3kqjZd1jqQT0etI3gHDvW6A2wSyPsYGP7g9eDRT3SwlRfz4cAzE4Lk1pD0fAWPoP5jB6HgKxaaZw52dpfcuWHbj7RvXj/PpPVedTKhZ7aRTFLPd/8uf4d0ffg/esriwYXp7057TF0w/t61Uzs2btR8Dw+PYN5QGKFWSoVJVIgFSSR5NOsG26H6TItgllQW1iKyrTkEjUYXqpuppBPW1bdqSRFFIQodLmjbFfgLZTqkojQHC72jSjmgHR5S2IHKMQWHkh5ldyPQ3QD5hxYwdrhMgk65ix/4K7nooi3JtFub2LB9sKHZ+YnBk5o8zQRtmLfzASwm5kz/IjLZ//fIV+FcAw8Mjt1Dqurtf/P1XC+zFthf2HsamvkbUuRyNcxXvrSLljBsa57DcvnGRmyhvSvyG6p2J7nd1HXsEGF7DXjdDbY668eTzpDfSHDSGnyUUDpK83wqsUh5SsU+451W1KzMbyIj2024j/cUCJtLZaOjE4cJVKquZuQ7Dpj6Gu9Z14PMfWTVw+vJz/s6v1W7pKpVeSpip9pJRlGgrlYpoaAh+uGDJymtGvIsHBsbmgAUMLBDOXqKTGVwjFjyaqZPUkvi1tIrWoM3Yp9k5DFBPQFGA+IcTC//2rqTtPHb6pAFXJmWRyoneTyzuzo1jbCePoY2bFMUIuIJBZyzt3cjqCQKCIKAIjMRkEAJKAvg1YGFXBz73sfMG1qxZdc1olfywdIrADZwCC242QgrYsL1yUz31pvpVf9n0zTN672u6c+0wRoYycEWBWc8JwT0RoE2rHAuXncQqRy1t3J0fKWYvDbjxRbTB1h9yVBp4tEV17qhsaGjm8ndYyzDOMa26sV1xbHBbHhTLjEBVJxBKttLJIcuCQFeqBQCHUlDCsf8Qx7N93Viz6qJDK+ac+RlCyz8ipOmlglNiO6UAB4AlczPgrHbr0q4zDi6ft6mbp9L/89/uWO95BMi4BK6jlRNbERAXEPQhyinVLtic1uKdiOFcnYcpbjsuPPMjdYhQazaPiQJa0xH9JJI6NTgXcNS6tQQsIVJ5iSxz/QRQPQgR177YHVBRiBMBPB8otZ1X2/1s6bMkv3pbxc/dk8ueMoKg2ikHOAAQ6rF7H9l6d3vHFakVSzaOZ3jq++se/SNh9TJ1DVcn50CdccspZN5wk3LoWdEMwE9gYScDe3SHZdWRtBI5/Ug9gOOIvcSMECSTnGZE1EbjsjT3Ft9XWW7IbPp49CIRM6aF54Zu+Dqj4LKSEAgIYSA0zTJNq3jztN6PfPrq3pvhb/NJeulx4+JEtJcFwAHgLat68PvHN/qv6pl2Kw2qD6ZQ/qvBgX3/Y8sLe8A5hecKndwXtdXFjXAADb4IyKOKhDw0ScEwuXcsl9GQwoyP0y0BbcTsWZM0yws5hYPDchAadHKqKo4wmUBZc0MPJ9J6i3PlAFVxefPJqPiYVkgI4SCMol4HfN9BwADXZahUGTK5Tnj51i/kit23c3fWzpGDB/1Sy8sD3MApHGQmtXNeswinL+4qj4/0b1n73PlfvfJtHde/8byuIJNJoSELNBcdVAOKwz6BH4TTzFkDM4JEDm5JagmNkCOji/DJdtorx0NbVOOR3zaVU4xRKOeRixlLZhCVLoxvOpn0gNuhHJ4bIJfx4bp1DAy5ODTigMNDNdUdPDvYff2yc1711Z27RrY0lLrLpZYlJ+LXn7D2srHgZvubK9+G7c/dHMxd/P4v7usfcNunrf3UC89vSLcWh9A6cAC3/baI5jQFcUP5kFPbett6uQ242LJp/SNW3TomgbvEPaTH3swwVTNZYaILKzmQ6HMU/4YcaGrZzzxHW+5wIcy+MSrOim9EhL6dcgM05Mbxi3Ue9uwt4vQFLVgye0l11eJzvtHQ0PbFcvBzXPuBS18qeBxVe1kCHADmLv5rDB4aQYryay+56Hy6b0/P2UO776A95cGzb7nPd5mXDqeZE8dLYDsiG92qy2GAP6p9T9ZIBLnWQDXhIscD8onONYFsdgClckghPCEaUe2SmnZkP4xrqDE7IaCMh4WmVBY8A2MV/Glna90JiutWrrqQze+Zt65eI9f61RGk0icv3PV428sW4ADQ0qT+uGu2bf7fWLS0q/Dkxs4b37hi+PJdO/fR/qEyGmk4y5pDANeRACcT3kwJBM2niWWF45WskiteJbUpjBeP3BIuELPmyrtjHwOLd0cum3BdOUEVUR0BAKhQVcLyD65TRS0oou7MY5e+YdYduwbz71/39DOjy5YtO95f+pK0E0IXX6r2zLPbkctlWnf07fn4Xb9dv2Rz3/Al2zdvQWvBQUOWIuUCjkOUHi75psnVCewaJI6MCqS2e147k8Q6je6TVa5IxK1PIlGJ9nbp2o+FHEQKEpnbVYSkVXnLrL3I5Zxc4jN1LRTHMZaNEOVwklUi6oHL63K4DkfKC5BO+WjIjqF9+myUax0/L7Wfs6Gxefq3a37lQKGx+1RDYcrtFQVw2R57bieKpYY5T63f9K0Nf9p8yTPPbEBlfAT5rAvPdZTF5QBqAUetJiY3RQg45f4XhXgcmhB7cgSAU6IrV8VDZI8e4OozgEj4LoziPckAV4oH0UClBCG4KRdPtRDsMmAtYAS1OkWtTpQCE5brDpByfDQ35dE5pxetHT0/L7Ut/ERQPbzDzc4/1bf+qNsrEuAAsHffAaQ8r+dPG7edPjY2/vGNGzefu/2F57H/wDAc6iCdpqCE4PA4w+g4Q8A1fXGoQWccCXANZMCmMFCW1AA4jQdWUWqWRTP204kBnhQXTml0P1ed0gS9Jf4Q+XQKtzuEgzqhRXYoh+uGYcmOWA8YwciYh5ExB5QCGS9ArRaAuAX09vZg1uyeh9OZ7LdLLd3PsKC+NZtvOdW3/Jjay5qDT9amd7QCwFbO+VYAGyjq01effdoPHvnDcz1/eOwZJ58BWkoONu+pYu8+jmKGIuOJMmTSURQBlYpXUY1rXs1NbisHsFIfNzh/xGRIbhzjwBG1JnqScs4YA0p9ni37mQuMhdaYUKjJpohFWRgyXoCGXAUHR1z07S2iqUhRmk4wr2dZkCkt3JpN1z7QOe+cvQC2JNY8fwW1VyzAZRM3YMv42NCWej14U7nmzlx19vI7nvnjumJ7w4v5hb278IO78xg+mIcn+KgsVyatqiPrCspi7TLIH+EK5wAXlpdzGPlycQ9oHA4ygETvjMnuSZ0CyVKhKYVK5MsEBdkolbyaq+ks9YzUHPlsgP7hcdz+sIt8qgUX9HSNrVxzzgiFf5mT6dpNCN3xSgf2BH/tK7sFAQOlhB4aOlwa7H9x5bSm8o3bdz7X8J0f72rc9vwAPBrArzNkPCCfoUh5BCmXwHWJGnACIV8PWDi5knRdmwU2TVqjOwaxJUjYfDxWfDMaFRnR3SlCLq4q6jocjlKJuBGfEzq8AjEXJiDHFhyey5HyODJegEy6hkw6QMAcZFIEbjY9+tTOxQfnzVnmzmhx37do4dxHU+mGYYAzQl5W/r/jan9WAJft8MgeAB7Ns9vIiPM3Vx4aGv3kfff92n/s6RfJrv6xhTm3luHBOLJpikwqDAOQVpwQgiDgqFQZakFoHgkhAlwhuF1HA9ZxiE1RuK3YyMFmyP11h3Cozb8BOw1NbnccUS/G4XAdKE7tOOH5nAO1OkG5SlAPTIUo5N/pFEM2HaC1yUNTiVXGqqVNbnaRt2jJsls7zr7yHx/8yS3p2dOLFd+vs7ldM071rTvh7c8S4LKNjgWglGJkZIjc+8v7MFxJO4VC/vuol3t39r246uBgv0O4D4CjXPGRTrnIZ10wxrF7wEfVZ3AoEcAKLb1LxbsAOnV0snFIFbiaVZgASkp0lOUnCrQSjIBIB2NyTnkNfseBArbnhuHDrhu+PDGILFcJdu53EDCKTIrBoQFAPKRciqbGNDo6WoPOmZ2PNJacLZXK2NV7+71gydKzEAR13tgy51TfppPaXvEcfLJWyKuMPGkb6wcGh96fSaebBg4c+Mqvfv1A6sDA7qCOzBmVan05qw6hmK2gs30c1aCMpzYV0FIMqQgjgrJQQ1WhBJTS0DITAc46A+MMjInQVCpmYxe6pamcSGUklO2AAEA90ACXMyhSAlWAV1p/lwKey9BcrODJLRU8sTGN6c0pdM8poXtOCZUanjw0FKxvn97pnLHiPL9Qav77mu8f6sifuuSDU9H+rAGe1FpbGgHgEIAPAcDNP/0dOMi5aepfUEhXL8ulKwu6Z+yB7zyBJ7Zk4JAy/BrDeIUjn3XhulQMTClch4IKq+yKmqLjDPDLIcAdh4SVXSEGfCL0l0qvqyOoBw05tD/GUamGfdF1w3Ml2JnQql1ah0tr8GsEhFAUGhzsHgZmdy/FGb1NmNnRsLl7tndHUyN+zRgebp7xplP9l5/S9p8O4NH215e/DgAeHho69DCAtUDQnfF2MvfJ59mKZT1zX3Na699t3rYTh8eB0aF+VMaH4RIHKZfDc1NiYMmRTgFtjXVs31dH/26GbIogl5HmOXS+cM5DR5OgHVRY4oYcQyZVw4HhALv6KVpLDrIkpEo+46jXAoADHmHINRUxu7MJA4eAYuMc5Bp2fbW5tHX76nNX00Xz2mkm7W4D8KvGxqZT/de+LNp/eoDLJgDxK7k+ODiAy1Ppxv39+9Zx6mFwKKjNXrn4bx3K3xjyb469fX/Ezr3DGC+7yOcoertq2DE0hhf2U8xudpBLu6hWOOoBRy5DQYgLzwljZ1IuRz0AKlWCpkIdHS1DeLrPQf9oKzpaKVqbPIyV6/CDPFavWo5c1kXaA1Ip3F/KHfomc6nX2vEqdLRf8PDV86pDrW2vTEfMyW7/H+ATtJaWNgAYAvALANi9Zy8AbGIBawfhDKyO6ugW7O0fAYMDz3PRWvBr+bbXXvfasyoXdRRYraPVw4HhAL7P0FSgyGZcpFMEuQzQUqyjWmMYOOShoyXArJll7x2d3v+995G+67z5nteQ81CrM3A3i94Fi5HNeHAoKHXpfnBs71rUcar/oldE+7NWUV7q9k//vhYgpH30wL5Sa67O21s87DsYoFoN0FJykE47SHkE2RTQ1liDXwuweyCNtuYAXTNqZMb0xmHO+X5auOhU/5Q/m/b/AGMjKKdyBk/pAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE4OjM0OjAwKzAwOjAwFOXR+QAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxODozNDowMCswMDowMGW4aUUAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2} -
mf_hecke_traces • Show schema
-
id: 40761655
{'hecke_orbit_code': 18014604701472096, 'n': 1, 'trace_an': 8} -
id: 40761656
{'hecke_orbit_code': 18014604701472096, 'n': 2, 'trace_an': 0} -
id: 40761657
{'hecke_orbit_code': 18014604701472096, 'n': 3, 'trace_an': 0} -
id: 40761658
{'hecke_orbit_code': 18014604701472096, 'n': 4, 'trace_an': 0} -
id: 40761659
{'hecke_orbit_code': 18014604701472096, 'n': 5, 'trace_an': 0} -
id: 40761660
{'hecke_orbit_code': 18014604701472096, 'n': 6, 'trace_an': 0} -
id: 40761661
{'hecke_orbit_code': 18014604701472096, 'n': 7, 'trace_an': 0} -
id: 40761662
{'hecke_orbit_code': 18014604701472096, 'n': 8, 'trace_an': 0} -
id: 40761663
{'hecke_orbit_code': 18014604701472096, 'n': 9, 'trace_an': 0} -
id: 40761664
{'hecke_orbit_code': 18014604701472096, 'n': 10, 'trace_an': 0} -
id: 40761665
{'hecke_orbit_code': 18014604701472096, 'n': 11, 'trace_an': 0} -
id: 40761666
{'hecke_orbit_code': 18014604701472096, 'n': 12, 'trace_an': 0} -
id: 40761667
{'hecke_orbit_code': 18014604701472096, 'n': 13, 'trace_an': 16} -
id: 40761668
{'hecke_orbit_code': 18014604701472096, 'n': 14, 'trace_an': 0} -
id: 40761669
{'hecke_orbit_code': 18014604701472096, 'n': 15, 'trace_an': 0} -
id: 40761670
{'hecke_orbit_code': 18014604701472096, 'n': 16, 'trace_an': 0} -
id: 40761671
{'hecke_orbit_code': 18014604701472096, 'n': 17, 'trace_an': 0} -
id: 40761672
{'hecke_orbit_code': 18014604701472096, 'n': 18, 'trace_an': 0} -
id: 40761673
{'hecke_orbit_code': 18014604701472096, 'n': 19, 'trace_an': 0} -
id: 40761674
{'hecke_orbit_code': 18014604701472096, 'n': 20, 'trace_an': 0} -
id: 40761675
{'hecke_orbit_code': 18014604701472096, 'n': 21, 'trace_an': 0} -
id: 40761676
{'hecke_orbit_code': 18014604701472096, 'n': 22, 'trace_an': 0} -
id: 40761677
{'hecke_orbit_code': 18014604701472096, 'n': 23, 'trace_an': 0} -
id: 40761678
{'hecke_orbit_code': 18014604701472096, 'n': 24, 'trace_an': 0} -
id: 40761679
{'hecke_orbit_code': 18014604701472096, 'n': 25, 'trace_an': -8} -
id: 40761680
{'hecke_orbit_code': 18014604701472096, 'n': 26, 'trace_an': 0} -
id: 40761681
{'hecke_orbit_code': 18014604701472096, 'n': 27, 'trace_an': 0} -
id: 40761682
{'hecke_orbit_code': 18014604701472096, 'n': 28, 'trace_an': 0} -
id: 40761683
{'hecke_orbit_code': 18014604701472096, 'n': 29, 'trace_an': 0} -
id: 40761684
{'hecke_orbit_code': 18014604701472096, 'n': 30, 'trace_an': 0} -
id: 40761685
{'hecke_orbit_code': 18014604701472096, 'n': 31, 'trace_an': 0} -
id: 40761686
{'hecke_orbit_code': 18014604701472096, 'n': 32, 'trace_an': 0} -
id: 40761687
{'hecke_orbit_code': 18014604701472096, 'n': 33, 'trace_an': 0} -
id: 40761688
{'hecke_orbit_code': 18014604701472096, 'n': 34, 'trace_an': 0} -
id: 40761689
{'hecke_orbit_code': 18014604701472096, 'n': 35, 'trace_an': 0} -
id: 40761690
{'hecke_orbit_code': 18014604701472096, 'n': 36, 'trace_an': 0} -
id: 40761691
{'hecke_orbit_code': 18014604701472096, 'n': 37, 'trace_an': 48} -
id: 40761692
{'hecke_orbit_code': 18014604701472096, 'n': 38, 'trace_an': 0} -
id: 40761693
{'hecke_orbit_code': 18014604701472096, 'n': 39, 'trace_an': 0} -
id: 40761694
{'hecke_orbit_code': 18014604701472096, 'n': 40, 'trace_an': 0} -
id: 40761695
{'hecke_orbit_code': 18014604701472096, 'n': 41, 'trace_an': 0} -
id: 40761696
{'hecke_orbit_code': 18014604701472096, 'n': 42, 'trace_an': 0} -
id: 40761697
{'hecke_orbit_code': 18014604701472096, 'n': 43, 'trace_an': 0} -
id: 40761698
{'hecke_orbit_code': 18014604701472096, 'n': 44, 'trace_an': 0} -
id: 40761699
{'hecke_orbit_code': 18014604701472096, 'n': 45, 'trace_an': 0} -
id: 40761700
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id: 40761907
{'hecke_orbit_code': 18014604701472096, 'n': 967, 'trace_an': 0} -
id: 40761908
{'hecke_orbit_code': 18014604701472096, 'n': 971, 'trace_an': 0} -
id: 40761909
{'hecke_orbit_code': 18014604701472096, 'n': 977, 'trace_an': 0} -
id: 40761910
{'hecke_orbit_code': 18014604701472096, 'n': 983, 'trace_an': 0} -
id: 40761911
{'hecke_orbit_code': 18014604701472096, 'n': 991, 'trace_an': 0} -
id: 40761912
{'hecke_orbit_code': 18014604701472096, 'n': 997, 'trace_an': 16}
-
id: 40761655
Embedded newform data - 5472.2.d.e.2015.3